* [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: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 122 additional inputs, on iter 1 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 63 additional inputs, on iter 2 have 193 / 256 * * * * [misc]points: Computing exacts on every 3 of 63 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 63 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 34 additional inputs, on iter 3 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 34 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 4 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [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 in N * [misc]backup-simplify: Simplify 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 N * [misc]taylor: Taking 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 (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [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 in N * [misc]backup-simplify: Simplify 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 N * [misc]taylor: Taking 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]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [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 in N * [misc]backup-simplify: Simplify 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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log 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 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log (+ N 1))) (- (log N)))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log (+ N 1))) (- (log N)))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log 1) (- (log (+ N 1)) (log N)))) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (pow N 3)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p (pow N 3)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- (* N N) 1)) (+ (log (- N 1)) (log N)))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log 1) (log (+ N 1))) (log N))) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (pow N 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log1p (pow N 3)) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- (* N N) 1)) (log (- N 1))) (log N))) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (- N (fma N (* N 1/2) (log N))) * [misc]simplify: Simplified (2) to (λ (N) (- N (fma N (* N 1/2) (log N)))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (* N N) (- (* N 1/3) 1/2) N) * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (* N N) (- (* N 1/3) 1/2) N) (log N))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (log N))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (log N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in (N) around 0 * [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]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 -1) (+ (* -1/3 (/ 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 (- (/ 0 -1) (+ (* -1/3 (/ 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 -1) (+ (* -1/3 (/ 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (* -1/3 (/ 1 (- N))) into (/ 1/3 N) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (/ 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (/ 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (/ 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 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 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 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 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 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 (/ 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 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 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 (/ 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 -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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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 (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ -1 -1) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ -1 -1) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow N (+ -1 -1)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (pow (/ 1 N) (+ 1 1)) (- (/ 1/3 N) 1/2) (/ 1 N))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow (/ 1 N) (+ 1 1)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 N) (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ 1 N) (/ 1 N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (pow (* (/ 1 N) (/ 1 N)) 1) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (pow (/ 1 N) (+ 1 1)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 N)) (log (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (+ (- (log N)) (- (log N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (exp (+ (- (log N)) (- (log N)))) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (cbrt (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 61 ] 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 1 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 N)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (* (/ 1 N) (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (/ 1 N))) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 N)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (* (/ 1 N) (sqrt (/ 1 N))) (sqrt (/ 1 N))) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (* (/ 1 N) 1) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (* (/ 1 N) 1) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (* (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt (/ 1 N)) (/ 1 N))) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (* (sqrt (/ 1 N)) (* (sqrt (/ 1 N)) (/ 1 N))) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* N N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* N N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* N N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2) into (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) into (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) into (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) into (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) (pow N 2)) (+ (* (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) N) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) into (- (+ (* 7/4 (* (pow N 2) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) (* N (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* 1/12 (pow N 1/3))) (+ (* (* -1/6 (pow N 1/3)) (* -1/6 (pow N 1/3))) (* (* 1/12 (pow N 1/3)) (pow N 1/3)))) into (* 7/36 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (* 7/36 (pow (pow N 2) 1/3)) into (* 7/36 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 7/36 (pow (pow (/ 1 N) 2) 1/3)) (pow (/ 1 N) 2)) (+ (* (- (* 1/3 (pow (pow (/ 1 N) 2) 1/3))) (/ 1 N)) (pow (pow (/ 1 N) 2) 1/3))) into (- (+ (pow (pow (/ 1 N) 2) 1/3) (* 7/36 (pow (/ 1 (pow N 8)) 1/3))) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (exp (* 1/3 (+ (log N) (log -1))))) into (pow (exp (* 1/3 (+ (log N) (log -1)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log N) (log -1)))) 2) into (pow (exp (* 1/3 (+ (log N) (log -1)))) 2) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log N) (log -1)))) (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))) (* (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) (exp (* 1/3 (+ (log N) (log -1)))))) into (* 1/3 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (* 1/3 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) into (* 1/3 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log N) (log -1)))) (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))) (+ (* (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))) (* (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) (exp (* 1/3 (+ (log N) (log -1))))))) into (* 7/36 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (* 7/36 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) into (* 7/36 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 7/36 (pow (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))) 2)) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (pow (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))) 2)) (/ 1 (- N))) (pow (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))) 2))) into (- (+ (* 7/36 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) (pow N 2))) (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2)) (* 1/3 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt 1) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt 1) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)) (+ 1/3 1/3)) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (pow (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)) (+ 1/3 1/3)) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (+ 1 1)) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (pow (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (+ 1 1)) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (* (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (* (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) 1/3) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (* (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) 1) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (+ 1 1)) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (log (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (log (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (exp (+ (log (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (log (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (* (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (cbrt (* (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt 1)) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (sqrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (* (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (* (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt 1) (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (* (cbrt (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (* (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (* (sqrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/4 (* (pow N 2) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) (* N (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (* (- (fma (* 7/4 N) N 1) N) (exp (* (+ 1/3 1/3) (fma (- 3) (log N) (log 1/3))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (- (fma (* 7/4 N) N 1) N) (exp (* (+ 1/3 1/3) (fma (- 3) (log N) (log 1/3))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow (/ 1 N) 2) 1/3) (* 7/36 (pow (/ 1 (pow N 8)) 1/3))) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (- (fma 7/36 (cbrt (/ 1 (pow N 8))) (cbrt (/ (/ 1 N) N))) (* 1/3 (cbrt (/ 1 (pow N 5))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (- (fma 7/36 (cbrt (/ 1 (pow N 8))) (cbrt (/ (/ 1 N) N))) (* 1/3 (cbrt (/ 1 (pow N 5))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/36 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) (pow N 2))) (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2)) (* 1/3 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (fma (/ (pow (* (/ -1 N) -1) (+ 1/3 1/3)) N) (- (/ 7/36 N) 1/3) (pow (* (/ -1 N) -1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (fma (/ (pow (* (/ -1 N) -1) (+ 1/3 1/3)) N) (- (/ 7/36 N) 1/3) (pow (* (/ -1 N) -1) (+ 1/3 1/3))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow N 4))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 (log (/ 1 (pow N 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 4)) in N * [misc]taylor: Taking taylor expansion of (pow N 4) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 (log (/ 1 (pow N 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 4)) in N * [misc]taylor: Taking taylor expansion of (pow N 4) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) * [misc]backup-simplify: Simplify (pow N -4/3) into (pow N -4/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 4 (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow N -4/3) into (pow N -4/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 4))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 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 (log (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 4 (- (log N))) into (* -4 (log N)) * [misc]backup-simplify: Simplify (exp (* -4 (log N))) into (pow N -4) * [misc]backup-simplify: Simplify (/ 1 (pow N -4)) into (pow N 4) * [misc]backup-simplify: Simplify (log (pow N 4)) into (log (pow N 4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 4))) into (* 1/3 (log (pow N 4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 4)))) into (pow (pow N 4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 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 (log (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 4 (- (log N))) into (* -4 (log N)) * [misc]backup-simplify: Simplify (exp (* -4 (log N))) into (pow N -4) * [misc]backup-simplify: Simplify (/ 1 (pow N -4)) into (pow N 4) * [misc]backup-simplify: Simplify (log (pow N 4)) into (log (pow N 4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 4))) into (* 1/3 (log (pow N 4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 4)))) into (pow (pow N 4) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 4) 1/3) into (pow (pow N 4) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow N 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow N 4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow N 4) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow N 4) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow N 4) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow N 4) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow N 4) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow N 4) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow N 4) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow N 4) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow N 4) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow N 4) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 4) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow N 4) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow N 4) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow N 4) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow N 4) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow N 4) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow N 4) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 4) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow N 4) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow N 4) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow N 4) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow N 4) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (/ 1 N) 4) 1/3) into (pow (pow (/ 1 N) 4) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 4))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- 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 (log (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log N))) into (* 4 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log N)))) into (exp (* 4 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 4 (- (log -1) (log N))))) into (/ 1 (exp (* 4 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- 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 (log (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log N))) into (* 4 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log N)))) into (exp (* 4 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 4 (- (log -1) (log N))))) into (/ 1 (exp (* 4 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) into (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) * [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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 4 (- (log -1) (log (/ 1 (- N))))))) 1/3) into (pow (/ 1 (exp (* 4 (- (log -1) (log (/ -1 N)))))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in 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 (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) 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 1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (+ -1/2 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) (log N)) 0) into (log N) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 (/ 1/3 -1) into -1/3 * [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 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -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 (- (+ (* -1 (/ 0 -1)))) 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) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow N 7))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 7)))) 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 (pow N 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 7)) in N * [misc]taylor: Taking taylor expansion of (pow N 7) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 7 (log N)))) into (* -7/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -7/3 (log N))) into (pow N -7/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 7)))) 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 (pow N 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 7)) in N * [misc]taylor: Taking taylor expansion of (pow N 7) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 7 (log N)))) into (* -7/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -7/3 (log N))) into (pow N -7/3) * [misc]backup-simplify: Simplify (pow N -7/3) into (pow N -7/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 7 (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 7 (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow N -7/3) into (pow N -7/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 7))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 N) 7)))) 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 (pow (/ 1 N) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 7 (- (log N))) into (* -7 (log N)) * [misc]backup-simplify: Simplify (exp (* -7 (log N))) into (pow N -7) * [misc]backup-simplify: Simplify (/ 1 (pow N -7)) into (pow N 7) * [misc]backup-simplify: Simplify (log (pow N 7)) into (log (pow N 7)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 7))) into (* 1/3 (log (pow N 7))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 7)))) into (pow (pow N 7) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 N) 7)))) 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 (pow (/ 1 N) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 7 (- (log N))) into (* -7 (log N)) * [misc]backup-simplify: Simplify (exp (* -7 (log N))) into (pow N -7) * [misc]backup-simplify: Simplify (/ 1 (pow N -7)) into (pow N 7) * [misc]backup-simplify: Simplify (log (pow N 7)) into (log (pow N 7)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 7))) into (* 1/3 (log (pow N 7))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 7)))) into (pow (pow N 7) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 7) 1/3) into (pow (pow N 7) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 7) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow N 7)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 7) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 7) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow N 7))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow N 7) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow N 7) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow N 7) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow N 7) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow N 7) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow N 7) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow N 7) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow N 7) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow N 7) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow N 7) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 7) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow N 7) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow N 7) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow N 7) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow N 7) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow N 7) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow N 7) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 7) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow N 7) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow N 7) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow N 7) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow N 7) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (/ 1 N) 7) 1/3) into (pow (pow (/ 1 N) 7) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 7))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7)))) 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 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 7 (- (log -1) (log N))) into (* 7 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 7 (- (log -1) (log N)))) into (exp (* 7 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 7 (- (log -1) (log N))))) into (/ 1 (exp (* 7 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7)))) 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 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 7 (- (log -1) (log N))) into (* 7 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 7 (- (log -1) (log N)))) into (exp (* 7 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 7 (- (log -1) (log N))))) into (/ 1 (exp (* 7 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) into (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) * [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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 7 (- (log -1) (log (/ 1 (- N))))))) 1/3) into (pow (/ 1 (exp (* 7 (- (log -1) (log (/ -1 N)))))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 (pow N 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (* (cbrt (* (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 (pow N 4))))) (cbrt (cbrt (/ 1 (pow N 4)))))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 (pow N 4)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (pow N 4)))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (* (cbrt (sqrt (/ 1 (pow N 4)))) (cbrt (sqrt (/ 1 (pow N 4)))))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (* (cbrt 1) (cbrt (/ 1 (pow N 4))))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (* (cbrt 1) (cbrt (/ 1 (pow N 4))))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (/ (cbrt 1) (cbrt (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (* (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (* (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (* (cbrt 1) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)))) (cbrt (sqrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 7))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 7))))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (* (cbrt (* (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 7))))) (cbrt (cbrt (/ 1 (pow N 7))))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 (pow N 7)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (pow N 7)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (* (cbrt (sqrt (/ 1 (pow N 7)))) (cbrt (sqrt (/ 1 (pow N 7))))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (* (cbrt 1) (cbrt (/ 1 (pow N 7)))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (* (cbrt 1) (cbrt (/ 1 (pow N 7)))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (/ (cbrt 1) (cbrt (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N -4/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N -4/3) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (pow N -4/3)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (/ 1 N) 4) 1/3) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 1 N) 4)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (pow (/ 1 N) 4))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (exp (* 4 (- (log -1) (log (/ -1 N)))))) 1/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (cbrt (pow N (- 4))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (pow N (- 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (* (- (* 3/4 N) 1/2) N) (/ (cbrt 1/3) (pow N (* 3 1/3))) (/ (cbrt 1/3) (pow N (* 3 1/3)))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4))))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (cbrt (- (/ -1 N))) (- (/ 1/12 (* N N)) (/ 1/6 N)) (cbrt (- (/ -1 N)))) (- (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N -7/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N -7/3) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (pow N -7/3) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (/ 1 N) 7) 1/3) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 1 N) 7)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (pow (/ 1 N) 7)) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (exp (* 7 (- (log -1) (log (/ -1 N)))))) 1/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (cbrt (pow N (- 7))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (N) (* (* (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (fma 1/12 (cbrt (pow N (- 7))) (cbrt (/ 1 N))) (* 1/6 (cbrt (/ 1 (pow N 4)))))) (cbrt (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (N) * * * * [misc]regimes: Trying to branch on N from (# # # #) * * * [misc]regime: Found split indices: #