* [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: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 93 additional inputs, on iter 1 have 163 / 256 * * * * [misc]points: Computing exacts on every 5 of 93 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 93 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 93 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 38 additional inputs, on iter 2 have 218 / 256 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 38 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 3 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 4 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (* (/ (* n 100) i) (pow (+ 1 (/ i n)) n)) (/ (* n 100) i)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* 1 i) 3)) (+ (* 1/2 (pow (* 1 i) 2)) (* 1 (* 1 i)))) into (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ i 1) into i * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2 (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n) 1/2) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n) 1/2) (/ 0 (/ 1 n))))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 n) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 i)) 1) (/ 1 i)) into (* (- (exp (/ 1 i)) 1) i) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (/ 1 i))) 1) (/ 1 i)) into (* (- (exp (- (/ 1 i))) 1) i) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1)) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]taylor: Taking taylor expansion of (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 -1/2) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/3) (+ (* 0 1/2) (* 0 1/6))) into (* 1/3 (exp (* -1 (/ (- (log n) (log i)) n)))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/2) (* 0 1/6)) into (* 1/2 (exp (* -1 (/ (- (log n) (log i)) n)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/3 (exp (* -1 (/ (- (log n) (log i)) n))))) (+ (* 0 (* 1/2 (exp (* -1 (/ (- (log n) (log i)) n))))) (* 0 (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ i 1) into i * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (* 100 n) into (* 100 n) * [misc]taylor: Taking taylor expansion of (* 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2 (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n) 1/2) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50) * [misc]taylor: Taking taylor expansion of (- (* 50 n) 50) in n * [misc]taylor: Taking taylor expansion of (* 50 n) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n) 1/2) (/ 0 (/ 1 n))))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)) (+ (* 0 (- (* 1/2 n) 1/2)) (* 0 n))) into (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n * [misc]taylor: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 50/3 n) in n * [misc]taylor: Taking taylor expansion of 50/3 in n * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 100/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 100/3 in n * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 i)) 1) (/ 1 i)) into (* (- (exp (/ 1 i)) 1) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]backup-simplify: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))))) into (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n * [misc]taylor: Taking taylor expansion of 50/3 in n * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 100/3 in n * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * [misc]approximate: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (/ 1 i))) 1) (/ 1 i)) into (* (- (exp (- (/ 1 i))) 1) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]backup-simplify: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) * [misc]backup-simplify: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))))) into (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n * [misc]taylor: Taking taylor expansion of 50/3 in n * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 100/3 in n * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 6) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ 1 (/ i n))) n) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (* (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (- (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ i n)))) * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (- (sqrt (pow (+ 1 (/ i n)) n)) 1)) (/ i n)))) * * * * [misc]progress: [ 13 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (pow (+ 1 (/ i n)) n) 1)) (log (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (log (- (pow (+ (/ i n) 1) n) 1)) (log (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (exp (- (log (- (pow (+ (/ i n) 1) n) 1)) (log (/ i n)))))) * * * * [misc]progress: [ 16 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ i n) (/ i n)) (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (pow (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (cbrt (pow (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) 3)))) * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ 1 (/ i n)) n) (/ i n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (pow (+ (/ i n) 1) n) (/ i n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (- (/ (pow (+ (/ i n) 1) n) (/ i n)) (/ 1 (/ i n))))) * * * * [misc]progress: [ 24 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))))) * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n)))))) * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n))))) * * * * [misc]progress: [ 27 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) i) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i) (* n (cbrt (- (pow (+ (/ i n) 1) n) 1)))))) * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))))) * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n)))))) * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ (/ i n) 1) n) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n))))) * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) i) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (sqrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i) (* n (sqrt (- (pow (+ (/ i n) 1) n) 1)))))) * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ i n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (/ 1 (cbrt (/ i n))) (cbrt (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n)))))) * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ i n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n)))))) * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* 1 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* 1 (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))))) * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ 1 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* n (pow (+ (/ i n) 1) n)) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 i) (- (* n (pow (+ (/ i n) 1) n)) n)))) * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n)))))) * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (sqrt (/ i n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n)))))) * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n))))) * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) i) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i) (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n)))) * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n)))))) * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (sqrt (/ i n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n)))))) * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n))))) * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) i) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i) (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n)))) * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) 1) (/ i n)))) * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/ 1 n)))) * * * * [misc]progress: [ 51 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (/ i n) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))))) * * * * [misc]progress: [ 52 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (+ 1 (/ i n)) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ (/ i n) 1) n) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ (/ i n) (sqrt (- (pow (+ 1 (/ i n)) n) 1)))))) * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ 1 (/ i n))) n) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (/ (/ i n) (- (pow (sqrt (+ 1 (/ i n))) n) 1))))) * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (/ (/ i n) (- (sqrt (pow (+ 1 (/ i n)) n)) 1))))) * * * * [misc]progress: [ 56 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (+ 1 (/ i n)) n) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (- (pow (pow (+ (/ i n) 1) n) 3) 1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (- (pow (pow (+ (/ i n) 1) n) 3) 1) (* (/ i n) (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1))))))) * * * * [misc]progress: [ 58 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) 1) (* (/ i n) (+ (pow (+ 1 (/ i n)) n) 1))))) * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* n (log (+ (/ i n) 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (exp (* n (log (+ (/ i n) 1)))) 1) (/ i n)))) * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (/ i n) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (pow (+ (/ i n) 1) (* 1 n)) 1) (/ i n)))) * * * * [misc]progress: [ 62 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ (/ i n) 1)) (cbrt (+ (/ i n) 1))) n) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (* (pow (* (cbrt (+ (/ i n) 1)) (cbrt (+ (/ i n) 1))) n) (pow (cbrt (+ 1 (/ i n))) n)) 1) (/ i n)))) * * * * [misc]progress: [ 63 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (/ i n) 1)) n) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (* (pow (sqrt (+ (/ i n) 1)) n) (pow (sqrt (+ 1 (/ i n))) n)) 1) (/ i n)))) * * * * [misc]progress: [ 64 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (* 1 (pow (+ 1 (/ i n)) n)) 1) (/ i n)))) * * * * [misc]progress: [ 65 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))) (cbrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))))) * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (sqrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))))) * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))))) * * * * [misc]progress: [ 82 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))))) * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1)) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)))) * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i)) (* n (cbrt (- (pow (+ (/ i n) 1) n) 1))))) * * * * [misc]progress: [ 85 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))))) * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))))) * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1)) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)))) * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (sqrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i)) (* n (sqrt (- (pow (+ (/ i n) 1) n) 1))))) * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n))))) * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n))))) * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 1)) (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)))) * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* n (pow (+ (/ i n) 1) n)) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 i)) (- (* n (pow (+ (/ i n) 1) n)) n))) * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n))))) * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n))))) * * * * [misc]progress: [ 95 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1)) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n)))) * * * * [misc]progress: [ 96 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)) (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n))) * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n))))) * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n))))) * * * * [misc]progress: [ 99 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1)) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n)))) * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)) (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n))) * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 1) (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)))) * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ n i) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ n i))) * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))) * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ i (* (* i i) (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)))) * * * * [misc]progress: [ 107 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (+ -1 (pow (/ i n) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ -1 (pow (/ i n) n)) (/ i n)))) * * * * [misc]progress: [ 108 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ i n)))) * * * * [misc]progress: [ 109 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying 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: [ 110 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (/ (- (pow (/ i n) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (/ (- (pow (/ i n) n) 1) (/ i n)))) * * * * [misc]progress: [ 111 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n i)))) * * * * [misc]progress: [ 112 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ i (+ (* 1/2 (pow i 2)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (+ (* (* i i) 1/2) (+ 1 i)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (+ (* (* i i) 1/2) (+ 1 i)) 1) (/ i n)))) * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (pow (/ i n) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (pow (/ i n) n) 1) (/ i n)))) * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) 1) (/ i n)))) * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (i n) 0) * * * * [misc]progress: [ 116 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 117 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100))) * [misc]simplify: Simplified (2) to (λ (i n) (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 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 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (+ i (* (* i i) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (* i i) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [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 (/ 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 (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* (pow i 2) (+ (* 1/6 i) 1/2)) into (* (pow i 2) (+ (* 1/6 i) 1/2)) * [misc]backup-simplify: Simplify (+ i (* (pow i 2) (+ (* 1/6 i) 1/2))) into (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) * [misc]backup-simplify: Simplify (/ (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) i) into (/ (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) i) * [misc]taylor: Taking taylor expansion of (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (+ i (* (* i i) (+ (* 1/6 i) 1/2))) in i * [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 (* (* i i) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i i) in i * [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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/6) (* 0 1/2)) 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 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (+ i (* (* i i) (+ (* 1/6 i) 1/2))) in i * [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 (* (* i i) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i i) in i * [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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/6) (* 0 1/2)) 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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/6) (* 1 1/2))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/6) (* 0 1/2)))) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/6 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* (* 1/2 n) (/ 0 (/ 1 n))))) into (* 1/6 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]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (* n (pow i 2))) (+ (* 1/2 (* n i)) (* 1 (* n 1)))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 i)) 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 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 (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 i) (/ 1 i)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 (pow i 2)) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) (pow i 2)) * [misc]backup-simplify: Simplify (+ (/ 1 i) (/ (+ (* 1/6 (/ 1 i)) 1/2) (pow i 2))) into (+ (* 1/6 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (+ (* 1/6 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (/ 1 i))) (/ 1 i)) into (* i (+ (* 1/6 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (/ 1 i)))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 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]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 (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 1) into 1 * [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 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ 1/6 n) into (/ 1/6 n) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 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]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 (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 1) into 1 * [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 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ 1/6 n) into (/ 1/6 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]backup-simplify: Simplify (/ 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/6)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [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 (- (/ 1/2 n) (+ (* (/ 1/6 n) (/ 0 n)))) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 n) (+ (* (/ 1/6 n) (/ 0 n)) (* (* 1/2 (/ 1 n)) (/ 0 n)))) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 n)) 1)) (+ (* 1/2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 i)))) (* 1/6 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2))))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 i) (/ -1 i)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 (pow i 2)) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) (pow i 2)) * [misc]backup-simplify: Simplify (+ (/ -1 i) (/ (- 1/2 (* 1/6 (/ 1 i))) (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2))) (+ (* 1/6 (/ 1 (pow i 3))) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow i 2))) (+ (* 1/6 (/ 1 (pow i 3))) (/ 1 i))) (/ 1 i)) into (* i (- (* 1/2 (/ 1 (pow i 2))) (+ (* 1/6 (/ 1 (pow i 3))) (/ 1 i)))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 -1) into 1 * [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 -1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (/ -1/6 n) into (/ -1/6 n) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 -1) into 1 * [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 -1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (/ -1/6 n) into (/ -1/6 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]backup-simplify: Simplify (/ -1/6 1) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 -1/6)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (/ 1/2 n) (+ (* (/ -1/6 n) (/ 0 n)))) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 -1/6))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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)))) 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 n) (+ (* (/ -1/6 n) (/ 0 n)) (* (* 1/2 (/ 1 n)) (/ 0 n)))) into (- (/ 1 n)) * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 (- n))) 1)) (+ (* 1/2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- i))))) (* -1/6 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2))))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (* 1/6 i) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]approximate: Taking taylor expansion of (* 1/6 (/ 1 i)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 (* 1/6 (/ 1 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 (/ 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 (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (/ 1 i))) into (* 1/6 i) * [misc]approximate: Taking taylor expansion of (* 1/6 (/ 1 (- i))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 (* 1/6 (/ 1 (- 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 (/ 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]backup-simplify: Simplify (* 1/6 -1) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (/ 1 (/ 1 (- i)))) into (* 1/6 i) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* i i) (+ (* 1/6 i) 1/2)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* (* i i) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i i) in i * [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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* (* i i) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i i) in i * [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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/6) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/6) (* 1 1/2))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/6) (* 0 1/2)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1/6) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/6) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/6) (* 0 1/2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/6) (* 0 1/2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/6) (* 0 1/2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/6) (* 0 1/2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow i 3)) (* 1/2 (pow i 2))) into (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 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]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 (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 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]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 (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [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 1/6) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/6)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/6))) 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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)) (* 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 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)) (* 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (/ 1 (/ 1 i)) 2)) (* 1/6 (pow (/ 1 (/ 1 i)) 3))) into (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [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 -1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 -1/6)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/6 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 -1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (/ 1 (/ 1 (- i))) 2)) (* -1/6 (pow (/ 1 (/ 1 (- i))) 3))) into (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (+ i (* (* i i) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (* i i) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [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 (/ 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 (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* (pow i 2) (+ (* 1/6 i) 1/2)) into (* (pow i 2) (+ (* 1/6 i) 1/2)) * [misc]backup-simplify: Simplify (+ i (* (pow i 2) (+ (* 1/6 i) 1/2))) into (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) * [misc]backup-simplify: Simplify (/ (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) i) into (/ (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (+ i (* (* i i) (+ (* 1/6 i) 1/2))) in i * [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 (* (* i i) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i i) in i * [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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/6) (* 0 1/2)) 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 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (+ i (* (* i i) (+ (* 1/6 i) 1/2))) in i * [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 (* (* i i) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i i) in i * [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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/6) (* 0 1/2)) 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 1) (* 0 0)) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/6) (* 1 1/2))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/2 n)) (* 0 n)) into (* 50 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]backup-simplify: Simplify (+ (* 50 1) (* 0 0)) into 50 * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1/6) (* 0 1/2)))) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/6 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* (* 1/2 n) (/ 0 (/ 1 n))))) into (* 1/6 n) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/6 n)) (+ (* 0 (* 1/2 n)) (* 0 n))) into (* 50/3 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]backup-simplify: Simplify (+ (* 50/3 1) (* 0 0)) into 50/3 * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]backup-simplify: Simplify (+ (* 50/3 (* n (pow i 2))) (+ (* 50 (* n i)) (* 100 (* n 1)))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * [misc]approximate: Taking taylor expansion of (* 100 (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 i)) 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 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 (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 i) (/ 1 i)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 (pow i 2)) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) (pow i 2)) * [misc]backup-simplify: Simplify (+ (/ 1 i) (/ (+ (* 1/6 (/ 1 i)) 1/2) (pow i 2))) into (+ (* 1/6 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (+ (* 1/6 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (/ 1 i))) (/ 1 i)) into (* i (+ (* 1/6 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (/ 1 i)))) * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 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]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 (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 1) into 1 * [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 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ 1/6 n) into (/ 1/6 n) * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 i) (* (* (/ 1 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 i) (/ 1 i)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 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]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 (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 1) into 1 * [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 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ 1/6 n) into (/ 1/6 n) * [misc]backup-simplify: Simplify (* 100 (/ 1/6 n)) into (/ 50/3 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]backup-simplify: Simplify (/ 50/3 1) into 50/3 * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/6)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [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 (- (/ 1/2 n) (+ (* (/ 1/6 n) (/ 0 n)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/2 (/ 1 n))) (* 0 (/ 1/6 n))) into (* 50 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 50 (/ 1 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 (/ 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 (* 50 1) into 50 * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 50/3 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 n) (+ (* (/ 1/6 n) (/ 0 n)) (* (* 1/2 (/ 1 n)) (/ 0 n)))) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 100 (/ 1 n)) (+ (* 0 (* 1/2 (/ 1 n))) (* 0 (/ 1/6 n)))) into (* 100 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor 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 (* 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (+ (* 100 (* (/ 1 (/ 1 n)) 1)) (+ (* 50 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 i)))) (* 50/3 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * [misc]approximate: Taking taylor expansion of (* 100 (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n))))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 i) (/ -1 i)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 (pow i 2)) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) (pow i 2)) * [misc]backup-simplify: Simplify (+ (/ -1 i) (/ (- 1/2 (* 1/6 (/ 1 i))) (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2))) (+ (* 1/6 (/ 1 (pow i 3))) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow i 2))) (+ (* 1/6 (/ 1 (pow i 3))) (/ 1 i))) (/ 1 i)) into (* i (- (* 1/2 (/ 1 (pow i 2))) (+ (* 1/6 (/ 1 (pow i 3))) (/ 1 i)))) * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 -1) into 1 * [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 -1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (/ -1/6 n) into (/ -1/6 n) * [misc]taylor: Taking taylor expansion of (* 100 (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- i)) (* (* (/ 1 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (- i)) (/ 1 (- i))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- i))) 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 (- 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 (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 -1) into 1 * [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 -1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (/ -1/6 n) into (/ -1/6 n) * [misc]backup-simplify: Simplify (* 100 (/ -1/6 n)) into (/ -50/3 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]backup-simplify: Simplify (/ -50/3 1) into -50/3 * [misc]backup-simplify: Simplify -50/3 into -50/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 -1/6)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (/ 1/2 n) (+ (* (/ -1/6 n) (/ 0 n)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/2 (/ 1 n))) (* 0 (/ -1/6 n))) into (* 50 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 50 (/ 1 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 (/ 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 (* 50 1) into 50 * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -50/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 -1/6))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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)))) 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 n) (+ (* (/ -1/6 n) (/ 0 n)) (* (* 1/2 (/ 1 n)) (/ 0 n)))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 100 (- (/ 1 n))) (+ (* 0 (* 1/2 (/ 1 n))) (* 0 (/ -1/6 n)))) into (- (* 100 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 100 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor 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 (* 100 1) into 100 * [misc]backup-simplify: Simplify (- 100) into -100 * [misc]backup-simplify: Simplify -100 into -100 * [misc]backup-simplify: Simplify (+ (* -100 (* (/ 1 (/ 1 (- n))) 1)) (+ (* 50 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- i))))) (* -50/3 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (log (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ (log (+ (* (* i 1/6) i) (+ 1 (* 1/2 i)))) (+ 0 (log n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (exp (+ (log (+ (* (* i 1/6) i) (+ 1 (* 1/2 i)))) (+ 0 (log n)))))) * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (* (* (/ i n) (/ i n)) (/ i n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (pow (/ (+ i (* (+ (* i 1/6) 1/2) (* i i))) (/ i n)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (cbrt (pow (/ (+ i (* (+ (* i 1/6) 1/2) (* i i))) (/ i n)) 3)))) * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n)))) (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n)))))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) (sqrt (/ i n))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n)))))) * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n))))) * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n))))) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) i) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) i)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) i)) (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* n (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) i) (* n (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))))))) * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n)))))) * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n))) (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n)))))) * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n))))) * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n))))) * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) i) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) i) (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* n (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) i) (* n (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))))))) * * * * [misc]progress: [ 18 / 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))) (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (cbrt (/ i n)) i)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (cbrt (/ i n)) i))))) * * * * [misc]progress: [ 19 / 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))) (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (sqrt (/ i n)) i)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (sqrt (/ i n)) i))))) * * * * [misc]progress: [ 20 / 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 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))))) * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (+ (* (* (* i n) i) (+ (* i 1/6) 1/2)) (* i n)) i) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* 1 (/ (+ (* (* (* i n) i) (+ (* i 1/6) 1/2)) (* i n)) i)))) * * * * [misc]progress: [ 21 / 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) (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ 1 n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (* i 1/6) 1/2) (* i (* n i))) (* n i)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 i) (+ (* (+ (* i 1/6) 1/2) (* i (* n i))) (* n i))))) * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 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 (/ (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 26 / 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 (/ (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (sqrt (/ i n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 27 / 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 (/ (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) 1) (/ i n)))) * * * * [misc]progress: [ 28 / 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 (/ (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) i) (/ 1 n)))) * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (* (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) (/ (/ i n) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))))))) * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ (/ i n) (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))))))) * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow i 3) (pow (* (* i i) (+ (* 1/6 i) 1/2)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (+ (pow (* (* i i) (+ (* 1/6 i) 1/2)) 3) (pow i 3)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ (pow (* (* i i) (+ (* 1/6 i) 1/2)) 3) (pow i 3)) (* (/ i n) (+ (* i i) (- (* (* (* i i) (+ (* 1/6 i) 1/2)) (* (* i i) (+ (* 1/6 i) 1/2))) (* i (* (* i i) (+ (* 1/6 i) 1/2))))))))) * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* i i) (* (* (* i i) (+ (* 1/6 i) 1/2)) (* (* i i) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * [exit]simplify: Simplified to (- (* i i) (* (* (+ (* i 1/6) 1/2) (* i i)) (* (+ (* i 1/6) 1/2) (* i i)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (- (* i i) (* (* (+ (* i 1/6) 1/2) (* i i)) (* (+ (* i 1/6) 1/2) (* i i)))) (* (/ i n) (- i (* (* i i) (+ (* 1/6 i) 1/2))))))) * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i i) (+ (* 1/6 i) 1/2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (* (+ (* i 1/6) 1/2) (* i i)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (i n) (* 100 (/ (+ i (pow (* (+ (* i 1/6) 1/2) (* i i)) 1)) (/ i n)))) * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* i i)) (log (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (log (+ 1/2 (* 1/6 i))) (log (* i i))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (i n) (* 100 (/ (+ i (exp (+ (log (+ 1/2 (* 1/6 i))) (log (* i i))))) (/ i n)))) * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* i i) (* i i)) (* i i)) (* (* (+ (* 1/6 i) 1/2) (+ (* 1/6 i) 1/2)) (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (pow i 3) (pow i 3)) (+ (* 1/6 i) 1/2)) (* (+ (* 1/6 i) 1/2) (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (i n) (* 100 (/ (+ i (cbrt (* (* (* (pow i 3) (pow i 3)) (+ (* 1/6 i) 1/2)) (* (+ (* 1/6 i) 1/2) (+ (* 1/6 i) 1/2))))) (/ i n)))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i i) 1/2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* i 1/2) i) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (+ (* (* i i) (* 1/6 i)) (* (* i 1/2) i))) (/ i n)))) * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (* i i)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (* i i)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (+ (* (* 1/6 i) (* i i)) (* 1/2 (* i i)))) (/ i n)))) * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/6 i) 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/2 (* 1/6 i))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (* (* (* i i) (* (cbrt (+ (* 1/6 i) 1/2)) (cbrt (+ (* 1/6 i) 1/2)))) (cbrt (+ 1/2 (* 1/6 i))))) (/ i n)))) * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/6 i) 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1/2 (* 1/6 i))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (* (* (* i i) (sqrt (+ (* 1/6 i) 1/2))) (sqrt (+ 1/2 (* 1/6 i))))) (/ i n)))) * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (* (* (* i i) 1) (+ 1/2 (* 1/6 i)))) (/ i n)))) * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1/6 i) (* 1/6 i)) (- (* 1/2 1/2) (* (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (+ (* (* -1/6 i) (* -1/6 i)) (+ (* i -1/12) 1/4)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (/ (* (* i i) (+ (pow (* 1/6 i) 3) (pow 1/2 3))) (+ (* (* -1/6 i) (* -1/6 i)) (+ (* i -1/12) 1/4)))) (/ i n)))) * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (+ -1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (i n) (* 100 (/ (+ i (/ (* (* i i) (- (* (* 1/6 i) (* 1/6 i)) (* 1/2 1/2))) (+ -1/2 (* 1/6 i)))) (/ i n)))) * * * * [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 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* n i) (+ (* i 1/6) 1/2)) n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) (cbrt (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))))) (cbrt (+ (* (* n i) (+ (* i 1/6) 1/2)) n)))) * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* n i) (+ (* i 1/6) 1/2)) n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (sqrt (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)))) (sqrt (+ (* (* n i) (+ (* i 1/6) 1/2)) n)))) * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) (sqrt (/ i n)))) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) 1)) (/ (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n)))) * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* n (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (+ i (* (* i i) (+ (* 1/6 i) 1/2))))) i)) (* n (cbrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (sqrt (/ i n)))) (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (sqrt (/ i n))))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) 1)) (/ (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i)))) (/ i n)))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* n (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) i)) (* n (sqrt (+ i (* (+ (* i 1/6) 1/2) (* i i))))))) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (cbrt (/ i n)) i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (cbrt (/ i n)) i)))) * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (sqrt (/ i n)) i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (+ (* (* i 1/6) i) (+ (* 1/2 i) 1)) (/ (sqrt (/ i n)) i)))) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (+ (* (* (* i n) i) (+ (* i 1/6) 1/2)) (* i n)) i) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 1)) (/ (+ (* (* (* i n) i) (+ (* i 1/6) 1/2)) (* i n)) i))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ 1 n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (* i 1/6) 1/2) (* i (* n i))) (* n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 i)) (+ (* (+ (* i 1/6) 1/2) (* i (* n i))) (* n i)))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (+ (* (* (* i n) i) (+ (* i 1/6) 1/2)) (* i n)) i) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 1) (/ (+ (* (* (* i n) i) (+ (* i 1/6) 1/2)) (* i n)) i))) * * * * [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 (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ 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 (+ i (* (* i i) (+ (* 1/6 i) 1/2)))) (/ i n))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ n (* (* i n) (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ n (* (* i n) (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ n (* (* i n) (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 i) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (i n) (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)))) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 i) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (i n) (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)))) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 i) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (i n) (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)))) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* 1/6 i) 1/2) (* i i)) * [misc]simplify: Simplified (2 2 1 2) to (λ (i n) (* 100 (/ (+ i (* (+ (* 1/6 i) 1/2) (* i i))) (/ i n)))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* 1/6 i) 1/2) (* i i)) * [misc]simplify: Simplified (2 2 1 2) to (λ (i n) (* 100 (/ (+ i (* (+ (* 1/6 i) 1/2) (* i i))) (/ i n)))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* 1/6 i) 1/2) (* i i)) * [misc]simplify: Simplified (2 2 1 2) to (λ (i n) (* 100 (/ (+ i (* (+ (* 1/6 i) 1/2) (* i i))) (/ i n)))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n)) * [misc]simplify: Simplified (2) to (λ (i n) (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n))) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n)) * [misc]simplify: Simplified (2) to (λ (i n) (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n)) * [misc]simplify: Simplified (2) to (λ (i n) (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 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 2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (* 1/6 i) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]approximate: Taking taylor expansion of (* 1/6 (/ 1 i)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 (* 1/6 (/ 1 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 (/ 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 (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (/ 1 i))) into (* 1/6 i) * [misc]approximate: Taking taylor expansion of (* 1/6 (/ 1 (- i))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 (* 1/6 (/ 1 (- 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 (/ 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]backup-simplify: Simplify (* 1/6 -1) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (/ 1 (/ 1 (- i)))) into (* 1/6 i) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [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 (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* 0 1/6) (* n 1/2)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* n 1/6) (* 0 1/2))) into (* 1/6 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]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* n 0) (+ (* 0 1/6) (* 0 1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* n 0) (+ (* 0 0) (+ (* 0 1/6) (* 0 1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 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 (+ (* 1/6 (* n (pow i 2))) (* 1/2 (* n i))) into (+ (* 1/6 (* (pow i 2) n)) (* 1/2 (* i n))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [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 n) 1/6) into (/ 1/6 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]backup-simplify: Simplify (/ 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/2) (* 0 1/6)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 1/2) (* 0 1/6))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/6)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 i)))) (* 1/6 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2)))) into (+ (* 1/6 (* (pow i 2) n)) (* 1/2 (* i n))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [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 n) -1/6) into (/ -1/6 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]backup-simplify: Simplify (/ -1/6 1) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/2) (* 0 -1/6)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 1/2) (* 0 -1/6))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/6 (/ 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 (+ (* 1/6 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1/6)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- i))))) (* -1/6 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2)))) into (+ (* 1/6 (* (pow i 2) n)) (* 1/2 (* i n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) 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 (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [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 (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) 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 (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (+ (* 100 (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (* 0 0)) into (+ (* 50 i) (+ (* 50/3 (pow i 2)) 100)) * [misc]taylor: Taking taylor expansion of (+ (* 50 i) (+ (* 50/3 (pow i 2)) 100)) in i * [misc]taylor: Taking taylor expansion of (* 50 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (pow i 2)) 100) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (pow 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 (pow i 2) in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (* 50 0) into 0 * [misc]backup-simplify: Simplify (+ 0 100) into 100 * [misc]backup-simplify: Simplify (+ 0 100) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (* 0 (+ (* 1/6 i) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (* 0 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 (+ (* 50 1) (* 0 0)) into 50 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 50 0) into 50 * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (+ (* 0 0) (* 0 (+ (* 1/6 i) 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (* 0 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 into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 50/3 1) into 50/3 * [misc]backup-simplify: Simplify (+ 50/3 0) into 50/3 * [misc]backup-simplify: Simplify (+ 0 50/3) into 50/3 * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]backup-simplify: Simplify (+ (* 50/3 (* (pow i 2) n)) (+ (* 50 (* i n)) (* 100 (* 1 n)))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * [misc]approximate: Taking taylor expansion of (* 100 (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) 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 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 100 (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 100 (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (* 100 (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (* 100 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]taylor: Taking taylor expansion of (* 100 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 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 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (* 100 1/6) into 50/3 * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 (+ (* 100 1/2) (* 0 1/6)) into 50 * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 100 1) (+ (* 0 1/2) (* 0 1/6))) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (+ (* 100 (* 1 (/ 1 (/ 1 n)))) (+ (* 50 (* (/ 1 (/ 1 i)) (/ 1 (/ 1 n)))) (* 50/3 (* (pow (/ 1 i) -2) (/ 1 (/ 1 n)))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * [misc]approximate: Taking taylor expansion of (* 100 (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) 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 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 100 (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 100 (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (* 100 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (* 100 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]taylor: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 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 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/6 (/ 1 (pow i 2))) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (* 100 -1/6) into -50/3 * [misc]backup-simplify: Simplify -50/3 into -50/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (- 1/2 (* 1/6 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 100 1/2) (* 0 -1/6)) into 50 * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/6 (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 100 -1) (+ (* 0 1/2) (* 0 -1/6))) into -100 * [misc]backup-simplify: Simplify -100 into -100 * [misc]backup-simplify: Simplify (+ (* -100 (* 1 (/ 1 (/ 1 (- n))))) (+ (* 50 (* (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- n))))) (* -50/3 (* (pow (/ 1 (- i)) -2) (/ 1 (/ 1 (- n))))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (+ (* 1/6 i) 1/2) in (i) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]approximate: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in (i) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 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 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 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 (- (+ (* 1 (/ 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 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1/6 (/ 1 (/ 1 i)))) into (+ (* 1/6 i) 1/2) * [misc]approximate: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in (i) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 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 into -1/6 * [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 (+ (* 1/6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/6 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) into 0 * [misc]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 (+ (* 1/6 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) into 0 * [misc]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 (+ (* 1/6 0) (+ (* 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ 1/2 (* -1/6 (/ 1 (/ 1 (- i))))) into (+ (* 1/6 i) 1/2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i n) (+ (* 1/6 i) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * [exit]simplify: Simplified to (* (+ 1/2 (* 1/6 i)) (* i n)) * [misc]simplify: Simplified (2 2 2 1) to (λ (i n) (* 100 (+ n (pow (* (+ 1/2 (* 1/6 i)) (* i n)) 1)))) * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* i n)) (log (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ (log (* i n)) (log (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2 2 1) to (λ (i n) (* 100 (+ n (exp (+ (log (* i n)) (log (+ (* 1/6 i) 1/2))))))) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* i n) (* i n)) (* i n)) (* (* (+ (* 1/6 i) 1/2) (+ (* 1/6 i) 1/2)) (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (+ 1/2 (* 1/6 i)) (+ 1/2 (* 1/6 i))) (* (pow (* i n) 3) (+ 1/2 (* 1/6 i)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (i n) (* 100 (+ n (cbrt (* (* (+ 1/2 (* 1/6 i)) (+ 1/2 (* 1/6 i))) (* (pow (* i n) 3) (+ 1/2 (* 1/6 i)))))))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i n) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* i n) 1/2) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (+ (* (* i n) (* 1/6 i)) (* (* i n) 1/2))))) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (* i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* n i) 1/2) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (+ (* (* 1/6 i) (* i n)) (* (* n i) 1/2))))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/6 i) 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/2 (* 1/6 i))) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (* (* (* i n) (* (cbrt (+ (* 1/6 i) 1/2)) (cbrt (+ (* 1/6 i) 1/2)))) (cbrt (+ 1/2 (* 1/6 i))))))) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/6 i) 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1/2 (* 1/6 i))) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (* (* (* i n) (sqrt (+ (* 1/6 i) 1/2))) (sqrt (+ 1/2 (* 1/6 i))))))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (* (* (* i n) 1) (+ 1/2 (* 1/6 i)))))) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1/6 i) (* 1/6 i)) (- (* 1/2 1/2) (* (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (+ (* (* -1/6 i) (* -1/6 i)) (+ (* i -1/12) 1/4)) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (/ (* (* i n) (+ (pow (* 1/6 i) 3) (pow 1/2 3))) (+ (* (* -1/6 i) (* -1/6 i)) (+ (* i -1/12) 1/4)))))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (+ -1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (/ (* (* i n) (- (* (* 1/6 i) (* 1/6 i)) (* 1/2 1/2))) (+ -1/2 (* 1/6 i)))))) * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (* (* i n) (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (* (+ 50 (* 50/3 i)) (* n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (+ (* 100 n) (* (+ 50 (* 50/3 i)) (* n i)))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* i n) (+ (* 1/6 i) 1/2)) 100) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (* (+ 50 (* i 50/3)) (* i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (+ (* n 100) (* (+ 50 (* i 50/3)) (* i n)))) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (sqrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (sqrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n (* (* i n) (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 1) (+ n (* (+ 1/2 (* 1/6 i)) (* n i))))) * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n))))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- n (* (* i n) (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (+ (* (- (* -1/6 i) 1/2) (* n i)) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) (+ (* (- (* -1/6 i) 1/2) (* n i)) n))) * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 i) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (i n) (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 i) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (i n) (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 i) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (i n) (* 100 (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow i 2) n)) (* 1/2 (* i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (+ (* 1/6 i) 1/2) (* i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (+ n (* (+ (* 1/6 i) 1/2) (* i n))))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow i 2) n)) (* 1/2 (* i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (+ (* 1/6 i) 1/2) (* i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (+ n (* (+ (* 1/6 i) 1/2) (* i n))))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow i 2) n)) (* 1/2 (* i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (+ (* 1/6 i) 1/2) (* i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (+ n (* (+ (* 1/6 i) 1/2) (* i n))))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n)) * [misc]simplify: Simplified (2) to (λ (i n) (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n)) * [misc]simplify: Simplified (2) to (λ (i n) (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n)) * [misc]simplify: Simplified (2) to (λ (i n) (+ (* (* i n) (+ 50 (* 50/3 i))) (* 100 n))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (* (* i n) (+ 1/2 (* 1/6 i)))))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (* (* i n) (+ 1/2 (* 1/6 i)))))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 i) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1/2 (* 1/6 i)) * [misc]simplify: Simplified (2 2 2 2) to (λ (i n) (* 100 (+ n (* (* i n) (+ 1/2 (* 1/6 i)))))) * * * [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 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 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 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (pow i 2)) 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 i 2) in i * [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 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (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 (+ 0 (log n)) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (* 0 (+ (* 1/6 i) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow n 1/3)) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (+ (* 0 0) (* 0 (+ (* 1/6 i) 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 * [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 (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/36 (pow n 1/3)) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/36 (pow n 1/3)) (pow (* i 1) 2)) (+ (* (* 1/6 (pow n 1/3)) (* i 1)) (pow n 1/3))) into (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [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 n) 1/6) into (/ 1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 n)) into (* 1/6 (/ 1 n)) * [misc]backup-simplify: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 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 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (log 1/6) into (log 1/6) * [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 (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 * [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 (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow (* (/ 1 i) 1) 2)) (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (* (/ 1 i) 1)) (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))))) into (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [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 n) -1/6) into (/ -1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ -1/6 n)) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 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 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/6 (/ 1 (pow i 2))) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (log -1/6) into (log -1/6) * [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 (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (- 1/2 (* 1/6 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 * [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 (+ -3 0) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/6 (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n)))))))) (* (/ 1 (- i)) 1)) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))))) into (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 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 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (pow i 2)) 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 i 2) in i * [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 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (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 (+ 0 (log n)) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (* 0 (+ (* 1/6 i) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow n 1/3)) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (+ (* 0 0) (* 0 (+ (* 1/6 i) 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 * [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 (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/36 (pow n 1/3)) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/36 (pow n 1/3)) (pow (* i 1) 2)) (+ (* (* 1/6 (pow n 1/3)) (* i 1)) (pow n 1/3))) into (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [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 n) 1/6) into (/ 1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 n)) into (* 1/6 (/ 1 n)) * [misc]backup-simplify: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 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 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (log 1/6) into (log 1/6) * [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 (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 * [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 (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow (* (/ 1 i) 1) 2)) (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (* (/ 1 i) 1)) (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))))) into (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [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 n) -1/6) into (/ -1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ -1/6 n)) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 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 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/6 (/ 1 (pow i 2))) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (log -1/6) into (log -1/6) * [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 (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (- 1/2 (* 1/6 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 * [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 (+ -3 0) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/6 (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n)))))))) (* (/ 1 (- i)) 1)) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))))) into (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 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 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (pow i 2)) 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 i 2) in i * [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 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (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 (+ 0 (log n)) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (* 0 (+ (* 1/6 i) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow n 1/3)) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (+ (* 0 0) (* 0 (+ (* 1/6 i) 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 * [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 (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/36 (pow n 1/3)) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/36 (pow n 1/3)) (pow (* i 1) 2)) (+ (* (* 1/6 (pow n 1/3)) (* i 1)) (pow n 1/3))) into (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [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 n) 1/6) into (/ 1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 n)) into (* 1/6 (/ 1 n)) * [misc]backup-simplify: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 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 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (log 1/6) into (log 1/6) * [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 (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 * [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 (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow (* (/ 1 i) 1) 2)) (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (* (/ 1 i) 1)) (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))))) into (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [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 n) -1/6) into (/ -1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ -1/6 n)) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 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 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/6 (/ 1 (pow i 2))) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (log -1/6) into (log -1/6) * [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 (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (- 1/2 (* 1/6 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 * [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 (+ -3 0) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/6 (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n)))))))) (* (/ 1 (- i)) 1)) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))))) into (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) in i * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) 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 (log (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ n (* (* i n) (+ (* 1/6 i) 1/2))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i n) (+ (* 1/6 i) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 i) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 i) 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 i in n * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 i) into (* 1/6 i) * [misc]backup-simplify: Simplify (+ (* 1/6 i) 1/2) into (+ (* 1/6 i) 1/2) * [misc]backup-simplify: Simplify (* 0 (+ (* 1/6 i) 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ (* 0 0) (* i (+ (* 1/6 i) 1/2))) into (+ (* 1/2 i) (* 1/6 (pow i 2))) * [misc]backup-simplify: Simplify (+ 1 (+ (* 1/2 i) (* 1/6 (pow i 2)))) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into (pow (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 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 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 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 i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (pow i 2)) 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 i 2) in i * [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 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (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 (+ 0 (log n)) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (* (pow n 1/3) (pow n 1/3)) into (pow (pow n 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow n 2) 1/3) into (pow (pow n 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (* 0 (+ (* 1/6 i) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (* 0 (+ (* 1/6 i) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 0) (* 0 (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow n 1/3) (* 1/6 (pow n 1/3))) (* (* 1/6 (pow n 1/3)) (pow n 1/3))) into (* 1/3 (pow (pow n 2) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (pow n 2) 1/3)) into (* 1/3 (pow (pow n 2) 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (+ (* 0 0) (* 0 (+ (* 1/6 i) 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* i 0) (+ (* 0 0) (* 0 (+ (* 1/6 i) 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (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 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 * [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 (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow n 1/3) (* 1/36 (pow n 1/3))) (+ (* (* 1/6 (pow n 1/3)) (* 1/6 (pow n 1/3))) (* (* 1/36 (pow n 1/3)) (pow n 1/3)))) into (* 1/12 (pow (pow n 2) 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow (pow n 2) 1/3)) into (* 1/12 (pow (pow n 2) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (pow n 2) 1/3)) (pow (* i 1) 2)) (+ (* (* 1/3 (pow (pow n 2) 1/3)) (* i 1)) (pow (pow n 2) 1/3))) into (+ (* 1/3 (* i (pow (pow n 2) 1/3))) (+ (* 1/12 (* (pow i 2) (pow (pow n 2) 1/3))) (pow (pow n 2) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) in i * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [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 n) 1/6) into (/ 1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 n)) into (* 1/6 (/ 1 n)) * [misc]backup-simplify: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 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 (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [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 n) 1/6) into (/ 1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 n)) into (* 1/6 (/ 1 n)) * [misc]backup-simplify: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))))) 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 (log (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (/ 1 n)) (+ (* 1/6 (/ 1 i)) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 i)) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 i)) 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 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 i)) into (/ 1/6 i) * [misc]backup-simplify: Simplify (+ (/ 1/6 i) 1/2) into (+ (* 1/6 (/ 1 i)) 1/2) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (* 1/6 (/ 1 i)) 1/2)) into (/ (+ (* 1/6 (/ 1 i)) 1/2) i) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (* 1/6 (/ 1 i)) 1/2) i)) into (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into (pow (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 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 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (log 1/6) into (log 1/6) * [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 (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 2) into (pow (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 0) (* 0 (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 * [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 (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))))) (* (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))))) into (* 2 (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 2)) * [misc]backup-simplify: Simplify (* 2 (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 2)) into (* 2 (pow (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 i)) 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))))) (+ (* (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))))) (* (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))))))) into (* 3 (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 2)) into (* 3 (pow (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow (exp (* 1/3 (- (log 1/6) (+ (log (/ 1 n)) (* 2 (log (/ 1 i))))))) 2)) (pow (* (/ 1 i) 1) 2)) (+ (* (* 2 (pow (exp (* 1/3 (- (log 1/6) (+ (log (/ 1 n)) (* 2 (log (/ 1 i))))))) 2)) (* (/ 1 i) 1)) (pow (exp (* 1/3 (- (log 1/6) (+ (log (/ 1 n)) (* 2 (log (/ 1 i))))))) 2))) into (+ (* 3 (/ (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) 2) (pow i 2))) (+ (* 2 (/ (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) 2) i)) (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) 2))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) in i * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [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 n) -1/6) into (/ -1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ -1/6 n)) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 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 (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- 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 (/ 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 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [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 n) -1/6) into (/ -1/6 n) * [misc]backup-simplify: Simplify (+ 0 (/ -1/6 n)) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))))) 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 (log (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (/ 1 (- n))) (+ (* 1/6 (/ 1 (- i))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (- i))) 1/2) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (- i))) 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 (- 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 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1/6 (/ -1 i)) into (/ -1/6 i) * [misc]backup-simplify: Simplify (+ (/ -1/6 i) 1/2) into (- 1/2 (* 1/6 (/ 1 i))) * [misc]backup-simplify: Simplify (* (/ 1 i) (- 1/2 (* 1/6 (/ 1 i)))) into (/ (- 1/2 (* 1/6 (/ 1 i))) i) * [misc]backup-simplify: Simplify (+ -1 (/ (- 1/2 (* 1/6 (/ 1 i))) i)) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) * [misc]backup-simplify: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into (pow (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 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 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/6 (/ 1 (pow i 2))) 1) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) 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 (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (log -1/6) into (log -1/6) * [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 (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2) into (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (- 1/2 (* 1/6 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (* 0 (- 1/2 (* 1/6 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 * [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 (+ -3 0) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))))) (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))))) into (- (* 2 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2))) * [misc]backup-simplify: Simplify (- (* 2 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2))) into (- (* 2 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/6 (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/6 (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 * [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 (+ 3/2 0) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))))) (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))))) into (* 3 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2)) into (* 3 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) 2)) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (- (* 2 (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) 2))) (* (/ 1 (- i)) 1)) (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) 2))) into (+ (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) 2) (+ (* 3 (/ (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) 2) (pow i 2))) (* 2 (/ (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) 2) i)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (* (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))))) * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (* (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))))) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (* 1 (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (/ (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (/ (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))))) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (* (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (* (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (* 1 (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (/ (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (/ (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (i n) (* (* 100 (* (* (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (i n) (* (* 100 (* (* (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (i n) (* (* 100 (* (* 1 (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (i n) (* (* 100 (* (/ (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (i n) (* (* 100 (* (/ (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n (* (* i n) (+ (* 1/6 i) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (pow (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) (+ 1/3 1/3))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (pow (+ n (* (* i n) (+ (* 1/6 i) 1/2))) 2/3)) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (pow (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (+ 1 1))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (pow (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) 2)) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n (* (* i n) (+ (* 1/6 i) 1/2))) (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (pow (* (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) 1/3)) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n)) (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (pow (* (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n)) (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) 1)) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (pow (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (+ 1 1))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (log (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i))))) (log (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (exp (+ (log (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i))))) (log (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n (* (* i n) (+ (* 1/6 i) 1/2))) (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (cbrt (* (+ n (* (+ 1/2 (* 1/6 i)) (* n i))) (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (/ (* (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3)))) (* (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n)))) (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3)))) (* (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n)))) (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (* (+ n (* (* i n) (+ 1/2 (* i 1/6)))) (- n (* (* i n) (+ 1/2 (* i 1/6))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (/ (* (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (* (+ n (* (* i n) (+ 1/2 (* i 1/6)))) (- n (* (* i n) (+ 1/2 (* i 1/6))))))) (* (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (+ (* 1/6 i) 1/2) (* (* n i) n)) (* n n)))) (cbrt (- n (* (* n i) (+ (* 1/6 i) 1/2))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2)))))) (* (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (+ (* 1/6 i) 1/2) (* (* n i) n)) (* n n)))) (cbrt (- n (* (* n i) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (+ (pow n 3) (pow (* (* n i) (+ (* 1/6 i) 1/2)) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (/ (* (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (+ (pow n 3) (pow (* (* n i) (+ (* 1/6 i) 1/2)) 3)))) (* (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * [enter]simplify: Simplifying (* (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (cbrt (- n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (- (* (* (+ 1/2 (* 1/6 i)) (* n i)) (* (+ 1/2 (* 1/6 i)) (* n i))) (- (* (* n (* n i)) (+ 1/2 (* 1/6 i))) (* n n))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3)))) (* (cbrt (- n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (- (* (* (+ 1/2 (* 1/6 i)) (* n i)) (* (+ 1/2 (* 1/6 i)) (* n i))) (- (* (* n (* n i)) (+ 1/2 (* 1/6 i))) (* n n))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (/ (* (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2)))))) (* (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * [enter]simplify: Simplifying (* (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n (* (* n i) (- (* -1/6 i) 1/2)))) (cbrt (+ n (* (* n i) (- (* -1/6 i) 1/2))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2)))))) (* (cbrt (+ n (* (* n i) (- (* -1/6 i) 1/2)))) (cbrt (+ n (* (* n i) (- (* -1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt 1)) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (* (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (sqrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (sqrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) 1) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (cbrt (* (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))) (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (* (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (cbrt (sqrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) (* (cbrt (sqrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* 1 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i))))) (cbrt (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (* (cbrt (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i))))) (cbrt (cbrt (+ n (* (+ 1/2 (* 1/6 i)) (* n i)))))) (* (cbrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (sqrt (cbrt (+ (* (+ 1/2 (* 1/6 i)) (* n i)) n))) (* (sqrt (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3)))) (cbrt (- (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))) (- (* (* (* n i) n) (+ (* 1/6 i) 1/2)) (* n n)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* n i) (+ (* -1/6 i) -1/2)) n)) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ (* (* n i) (+ (* -1/6 i) -1/2)) n)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow n 3) (pow (* (* i n) (+ (* 1/6 i) 1/2)) 3))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ n (* (* i n) (+ 1/2 (* i 1/6)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (/ (* (cbrt (+ (pow (* (* i n) (+ 1/2 (* i 1/6))) 3) (pow n 3))) (cbrt (+ n (* (* i n) (+ 1/2 (* i 1/6)))))) (cbrt (+ (* n n) (- (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))) (* n (* (* i n) (+ (* 1/6 i) 1/2)))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* n n) (* (* (* i n) (+ (* 1/6 i) 1/2)) (* (* i n) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* n i) (+ (* 1/6 i) 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (/ (* (cbrt (- (* n n) (* (* (* n i) (+ (* 1/6 i) 1/2)) (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (+ n (* (* n i) (+ (* 1/6 i) 1/2))))) (cbrt (- n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ (cbrt n) (* (+ (* i 1/36) 1/6) (* i (cbrt n)))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (+ (cbrt n) (* (+ (* i 1/36) 1/6) (* i (cbrt n)))))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (cbrt 1/6) i) (* (pow i 2/3) (pow n 1/3))) (* (* (cbrt 1/6) (pow i 2/3)) (pow n 1/3))) (* (/ (cbrt 1/6) (* i i)) (* (pow i 2/3) (pow n 1/3)))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (+ (+ (* (/ (cbrt 1/6) i) (* (pow i 2/3) (pow n 1/3))) (* (* (cbrt 1/6) (pow i 2/3)) (pow n 1/3))) (* (/ (cbrt 1/6) (* i i)) (* (pow i 2/3) (pow n 1/3)))))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1/6) i) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (+ (* (/ (cbrt -1/6) (* i i)) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (pow (exp 1/3) (+ (- (log -1/6) (log (/ -1 n))) (* -2 (log (/ -1 i))))))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (+ (* (/ (cbrt -1/6) i) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (+ (* (/ (cbrt -1/6) (* i i)) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (pow (exp 1/3) (+ (- (log -1/6) (log (/ -1 n))) (* -2 (log (/ -1 i))))))))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ (cbrt n) (* (+ (* i 1/36) 1/6) (* i (cbrt n)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (+ (cbrt n) (* (+ (* i 1/36) 1/6) (* i (cbrt n)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (cbrt 1/6) i) (* (pow i 2/3) (pow n 1/3))) (* (* (cbrt 1/6) (pow i 2/3)) (pow n 1/3))) (* (/ (cbrt 1/6) (* i i)) (* (pow i 2/3) (pow n 1/3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (+ (+ (* (/ (cbrt 1/6) i) (* (pow i 2/3) (pow n 1/3))) (* (* (cbrt 1/6) (pow i 2/3)) (pow n 1/3))) (* (/ (cbrt 1/6) (* i i)) (* (pow i 2/3) (pow n 1/3)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1/6) i) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (+ (* (/ (cbrt -1/6) (* i i)) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (pow (exp 1/3) (+ (- (log -1/6) (log (/ -1 n))) (* -2 (log (/ -1 i))))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (i n) (* (* 100 (* (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))) (+ (* (/ (cbrt -1/6) i) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (+ (* (/ (cbrt -1/6) (* i i)) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (pow (exp 1/3) (+ (- (log -1/6) (log (/ -1 n))) (* -2 (log (/ -1 i))))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ (cbrt n) (* (+ (* i 1/36) 1/6) (* i (cbrt n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (+ (cbrt n) (* (+ (* i 1/36) 1/6) (* i (cbrt n)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (cbrt 1/6) i) (* (pow i 2/3) (pow n 1/3))) (* (* (cbrt 1/6) (pow i 2/3)) (pow n 1/3))) (* (/ (cbrt 1/6) (* i i)) (* (pow i 2/3) (pow n 1/3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (+ (+ (* (/ (cbrt 1/6) i) (* (pow i 2/3) (pow n 1/3))) (* (* (cbrt 1/6) (pow i 2/3)) (pow n 1/3))) (* (/ (cbrt 1/6) (* i i)) (* (pow i 2/3) (pow n 1/3)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1/6) i) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (+ (* (/ (cbrt -1/6) (* i i)) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (pow (exp 1/3) (+ (- (log -1/6) (log (/ -1 n))) (* -2 (log (/ -1 i))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (* 100 (* (+ (* (/ (cbrt -1/6) i) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (+ (* (/ (cbrt -1/6) (* i i)) (* (pow (exp 2/3) (- (log i) (log -1))) (pow (exp 1/3) (- (log n) (log -1))))) (pow (exp 1/3) (+ (- (log -1/6) (log (/ -1 n))) (* -2 (log (/ -1 i))))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (* i (pow (pow n 2) 1/3))) (+ (* 1/12 (* (pow i 2) (pow (pow n 2) 1/3))) (pow (pow n 2) 1/3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (* n n)) (+ (+ (* 1/3 i) 1) (* (* 1/12 i) i))) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (* 100 (* (cbrt (* n n)) (+ (+ (* 1/3 i) 1) (* (* 1/12 i) i)))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (/ (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) 2) (pow i 2))) (+ (* 2 (/ (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) 2) i)) (pow (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) 2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (+ (/ (exp (* (- (+ (log n) (log 1/6)) (* (log i) -2)) 2/3)) (/ (* i i) 3)) (* (+ (/ 2 i) 1) (exp (* (- (+ (log n) (log 1/6)) (* (log i) -2)) 2/3)))) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (* 100 (+ (/ (exp (* (- (+ (log n) (log 1/6)) (* (log i) -2)) 2/3)) (/ (* i i) 3)) (* (+ (/ 2 i) 1) (exp (* (- (+ (log n) (log 1/6)) (* (log i) -2)) 2/3))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) 2) (+ (* 3 (/ (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) 2) (pow i 2))) (* 2 (/ (pow (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) 2) i)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (+ (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 2/3)) (/ (* i i) 3)) (* (+ (/ 2 i) 1) (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 2/3)))) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (* 100 (+ (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 2/3)) (/ (* i i) 3)) (* (+ (/ 2 i) 1) (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 2/3))))) (cbrt (+ n (* (* i n) (+ (* 1/6 i) 1/2)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (n i (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on i from (# # # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) from (# # # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) from (# #) * * * [misc]regime: Found split indices: #