32.050 * [progress]: [Phase 1 of 3] Setting up. 0.006 * * * [progress]: [1/2] Preparing points 0.182 * * * [progress]: [2/2] Setting up program. 0.191 * [progress]: [Phase 2 of 3] Improving. 0.191 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.191 * * [simplify]: iteration 0: 6 enodes 0.194 * * [simplify]: iteration 1: 9 enodes 0.198 * * [simplify]: iteration 2: 10 enodes 0.201 * * [simplify]: iteration complete: 10 enodes 0.201 * * [simplify]: Extracting #0: cost 1 inf + 0 0.201 * * [simplify]: Extracting #1: cost 4 inf + 0 0.201 * * [simplify]: Extracting #2: cost 6 inf + 0 0.201 * * [simplify]: Extracting #3: cost 6 inf + 1 0.201 * * [simplify]: Extracting #4: cost 2 inf + 226 0.202 * * [simplify]: Extracting #5: cost 0 inf + 560 0.202 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.203 * * [progress]: iteration 1 / 4 0.203 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.266 * * * [progress]: generating rewritten candidates 0.266 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.277 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.317 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.317 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.319 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.319 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.319 * [taylor]: Taking taylor expansion of N in N 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of 1.0 in N 0.319 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.321 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.322 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.322 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of 1.0 in N 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.322 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.325 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.348 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.351 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.351 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.351 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.351 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (log 1) into 0 0.353 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of 1.0 in N 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (log 1) into 0 0.355 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.355 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.362 * [backup-simplify]: Simplify 1.0 into 1.0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.374 * [backup-simplify]: Simplify -0.5 into -0.5 0.374 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.374 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.374 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.374 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.374 * [taylor]: Taking taylor expansion of 1.0 in N 0.374 * [backup-simplify]: Simplify 1.0 into 1.0 0.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.376 * [backup-simplify]: Simplify (log -1) into (log -1) 0.376 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.376 * [taylor]: Taking taylor expansion of 1.0 in N 0.376 * [backup-simplify]: Simplify 1.0 into 1.0 0.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.376 * [taylor]: Taking taylor expansion of N in N 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (- 1) into -1 0.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.378 * [backup-simplify]: Simplify (log -1) into (log -1) 0.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.379 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.387 * [backup-simplify]: Simplify -1.0 into -1.0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.477 * [backup-simplify]: Simplify -0.5 into -0.5 0.478 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.479 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.479 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.479 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.479 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.479 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [backup-simplify]: Simplify 1.0 into 1.0 0.480 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.480 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.480 * [taylor]: Taking taylor expansion of (log N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (log 1) into 0 0.481 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.481 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.481 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of 1.0 in N 0.481 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.482 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.482 * [taylor]: Taking taylor expansion of (log N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (log 1) into 0 0.483 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.483 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.484 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.484 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.492 * [backup-simplify]: Simplify 1.0 into 1.0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.512 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.515 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.515 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.515 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.515 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.515 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 1.0 in N 0.516 * [backup-simplify]: Simplify 1.0 into 1.0 0.516 * [backup-simplify]: Simplify (+ 1 0) into 1 0.516 * [backup-simplify]: Simplify (log 1) into 0 0.517 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (log 1) into 0 0.517 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.517 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of 1.0 in N 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [backup-simplify]: Simplify (log 1) into 0 0.519 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [backup-simplify]: Simplify (log 1) into 0 0.520 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.521 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.521 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.521 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.534 * [backup-simplify]: Simplify 1.0 into 1.0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.550 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [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 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.593 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.594 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.594 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.594 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.594 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.594 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [backup-simplify]: Simplify (- 1) into -1 0.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.596 * [backup-simplify]: Simplify (log -1) into (log -1) 0.596 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.596 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.596 * [taylor]: Taking taylor expansion of -1 in N 0.596 * [backup-simplify]: Simplify -1 into -1 0.596 * [taylor]: Taking taylor expansion of N in N 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ -1 1) into -1 0.597 * [backup-simplify]: Simplify (log -1) into (log -1) 0.597 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.598 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.598 * [taylor]: Taking taylor expansion of 1.0 in N 0.598 * [backup-simplify]: Simplify 1.0 into 1.0 0.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [backup-simplify]: Simplify (- 1) into -1 0.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.599 * [backup-simplify]: Simplify (log -1) into (log -1) 0.599 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.600 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.600 * [taylor]: Taking taylor expansion of -1 in N 0.600 * [backup-simplify]: Simplify -1 into -1 0.600 * [taylor]: Taking taylor expansion of N in N 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ -1 1) into -1 0.601 * [backup-simplify]: Simplify (log -1) into (log -1) 0.601 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.602 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.603 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.604 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.617 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.641 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.672 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [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 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.681 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.683 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.683 * * * [progress]: simplifying candidates 0.685 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.689 * * [simplify]: iteration 0: 127 enodes 0.771 * * [simplify]: iteration 1: 287 enodes 0.996 * * [simplify]: iteration 2: 691 enodes 1.836 * * [simplify]: iteration 3: 2053 enodes 5.506 * * [simplify]: iteration complete: 5001 enodes 5.507 * * [simplify]: Extracting #0: cost 43 inf + 0 5.509 * * [simplify]: Extracting #1: cost 360 inf + 1 5.517 * * [simplify]: Extracting #2: cost 988 inf + 1690 5.542 * * [simplify]: Extracting #3: cost 1028 inf + 28912 5.591 * * [simplify]: Extracting #4: cost 427 inf + 167930 5.679 * * [simplify]: Extracting #5: cost 68 inf + 292036 5.792 * * [simplify]: Extracting #6: cost 22 inf + 307509 5.944 * * [simplify]: Extracting #7: cost 5 inf + 310122 6.053 * * [simplify]: Extracting #8: cost 0 inf + 311387 6.162 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (fma (* N N) N (* (* 1.0 1.0) 1.0))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (- (log (+ N 1.0)) (log N)) (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (* (* (log N) (log N)) (log N))) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ N 1.0)))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (fma 1.0 N (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) 6.169 * * * [progress]: adding candidates to table 6.552 * * [progress]: iteration 2 / 4 6.552 * * * [progress]: picking best candidate 6.572 * * * * [pick]: Picked # 6.572 * * * [progress]: localizing error 6.611 * * * [progress]: generating rewritten candidates 6.611 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 6.635 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.637 * * * [progress]: generating series expansions 6.637 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 6.637 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 6.637 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 6.637 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.637 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.637 * [taylor]: Taking taylor expansion of N in N 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.638 * [backup-simplify]: Simplify (* 1 1) into 1 6.639 * [backup-simplify]: Simplify (/ 1 1) into 1 6.639 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.639 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.639 * [taylor]: Taking taylor expansion of N in N 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 1 into 1 6.640 * [backup-simplify]: Simplify (* 1 1) into 1 6.640 * [backup-simplify]: Simplify (/ 1 1) into 1 6.640 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.642 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.653 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.656 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 6.657 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 6.657 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 6.657 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.657 * [taylor]: Taking taylor expansion of N in N 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.657 * [taylor]: Taking taylor expansion of N in N 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.658 * [backup-simplify]: Simplify (* 1 1) into 1 6.658 * [backup-simplify]: Simplify 1 into 1 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.658 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.659 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.662 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.664 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.666 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 6.667 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 6.667 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 6.667 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.667 * [taylor]: Taking taylor expansion of N in N 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.667 * [taylor]: Taking taylor expansion of N in N 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (* 1 1) into 1 6.668 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.669 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.670 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.672 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 6.675 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.677 * [backup-simplify]: Simplify (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) into (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) 6.677 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 6.677 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 6.679 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 6.680 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 6.680 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.680 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.680 * [taylor]: Taking taylor expansion of N in N 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (* 1 1) into 1 6.681 * [backup-simplify]: Simplify (/ 1 1) into 1 6.681 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.681 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.681 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.681 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.681 * [taylor]: Taking taylor expansion of N in N 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ 1 1) into 1 6.681 * [taylor]: Taking taylor expansion of 0.5 in N 6.681 * [backup-simplify]: Simplify 0.5 into 0.5 6.681 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 6.681 * [taylor]: Taking taylor expansion of 1.0 in N 6.682 * [backup-simplify]: Simplify 1.0 into 1.0 6.682 * [taylor]: Taking taylor expansion of N in N 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.682 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 6.682 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 6.682 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 6.682 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.682 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.682 * [taylor]: Taking taylor expansion of N in N 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (* 1 1) into 1 6.683 * [backup-simplify]: Simplify (/ 1 1) into 1 6.683 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.683 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.683 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.683 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.683 * [taylor]: Taking taylor expansion of N in N 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.684 * [backup-simplify]: Simplify (/ 1 1) into 1 6.684 * [taylor]: Taking taylor expansion of 0.5 in N 6.684 * [backup-simplify]: Simplify 0.5 into 0.5 6.684 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 6.684 * [taylor]: Taking taylor expansion of 1.0 in N 6.684 * [backup-simplify]: Simplify 1.0 into 1.0 6.684 * [taylor]: Taking taylor expansion of N in N 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.685 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.686 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.686 * [backup-simplify]: Simplify (* 1 0.3333333333333333) into 0.3333333333333333 6.687 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.687 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.689 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.690 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 0.3333333333333333)) into (- 0.5) 6.696 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 6.696 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.699 * [backup-simplify]: Simplify (- 0) into 0 6.699 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 0.3333333333333333))) into 0 6.704 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.704 * [backup-simplify]: Simplify 1.0 into 1.0 6.705 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 6.706 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) (+ (/ 0.3333333333333333 (/ 1 N)) (- 0.5)) (/ 1.0 (/ 1 N))) into (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) 6.706 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 6.706 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 6.706 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 6.706 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.706 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.706 * [taylor]: Taking taylor expansion of N in N 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.706 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.706 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.706 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.706 * [taylor]: Taking taylor expansion of N in N 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [taylor]: Taking taylor expansion of 0.5 in N 6.706 * [backup-simplify]: Simplify 0.5 into 0.5 6.706 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.706 * [taylor]: Taking taylor expansion of 1.0 in N 6.707 * [backup-simplify]: Simplify 1.0 into 1.0 6.707 * [taylor]: Taking taylor expansion of N in N 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 6.707 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 6.707 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.707 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.707 * [taylor]: Taking taylor expansion of N in N 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.707 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.707 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.707 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.707 * [taylor]: Taking taylor expansion of N in N 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of 0.5 in N 6.707 * [backup-simplify]: Simplify 0.5 into 0.5 6.707 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.707 * [taylor]: Taking taylor expansion of 1.0 in N 6.707 * [backup-simplify]: Simplify 1.0 into 1.0 6.707 * [taylor]: Taking taylor expansion of N in N 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.708 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.711 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.711 * [backup-simplify]: Simplify 1.0 into 1.0 6.711 * [backup-simplify]: Simplify (* 1 1) into 1 6.712 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.712 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.713 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.714 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 6.715 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.716 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 6.716 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.718 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.718 * [backup-simplify]: Simplify (- 0) into 0 6.719 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.721 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 6.722 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.723 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.724 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.724 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 0.3333333333333333 (/ 1 (- N))) (- 0.5)) (/ 1.0 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) 6.725 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 6.725 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 6.725 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 6.725 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 6.725 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.725 * [taylor]: Taking taylor expansion of N in N 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 6.725 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.725 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.725 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.725 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.725 * [taylor]: Taking taylor expansion of N in N 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of 0.5 in N 6.725 * [backup-simplify]: Simplify 0.5 into 0.5 6.725 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.725 * [taylor]: Taking taylor expansion of -1.0 in N 6.725 * [backup-simplify]: Simplify -1.0 into -1.0 6.725 * [taylor]: Taking taylor expansion of N in N 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 6.726 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 6.726 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 6.726 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.726 * [taylor]: Taking taylor expansion of N in N 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 6.726 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.726 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.726 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.726 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.726 * [taylor]: Taking taylor expansion of N in N 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [taylor]: Taking taylor expansion of 0.5 in N 6.726 * [backup-simplify]: Simplify 0.5 into 0.5 6.726 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.726 * [taylor]: Taking taylor expansion of -1.0 in N 6.726 * [backup-simplify]: Simplify -1.0 into -1.0 6.726 * [taylor]: Taking taylor expansion of N in N 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.727 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.727 * [backup-simplify]: Simplify (+ 0 0) into 0 6.727 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 6.730 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.730 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.730 * [backup-simplify]: Simplify (* 1 1) into 1 6.731 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.731 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 6.732 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.733 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 6.734 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.734 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 6.735 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.736 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.736 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.737 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.738 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.740 * [backup-simplify]: Simplify (+ (* 1 (- 0.3333333333333333)) (* 0 (- 0.5))) into (- 0.3333333333333333) 6.741 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.742 * [backup-simplify]: Simplify (+ (- 0.3333333333333333) 0) into (- 0.3333333333333333) 6.742 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.744 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.744 * * * [progress]: simplifying candidates 6.745 * [simplify]: Simplifying: (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (- 1) (- (* N N)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (expm1 (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (log1p (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (* (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5))) (log (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (exp (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (* (cbrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (cbrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)))) (cbrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (* (* (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (sqrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (sqrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.747 * * [simplify]: iteration 0: 80 enodes 6.807 * * [simplify]: iteration 1: 179 enodes 6.931 * * [simplify]: iteration 2: 459 enodes 7.447 * * [simplify]: iteration 3: 1513 enodes 9.940 * * [simplify]: iteration complete: 5003 enodes 9.941 * * [simplify]: Extracting #0: cost 24 inf + 0 9.942 * * [simplify]: Extracting #1: cost 234 inf + 2 9.948 * * [simplify]: Extracting #2: cost 905 inf + 1822 9.965 * * [simplify]: Extracting #3: cost 1135 inf + 27794 10.039 * * [simplify]: Extracting #4: cost 360 inf + 204187 10.167 * * [simplify]: Extracting #5: cost 15 inf + 331577 10.295 * * [simplify]: Extracting #6: cost 0 inf + 330021 10.461 * * [simplify]: Extracting #7: cost 0 inf + 329493 10.598 * [simplify]: Simplified to: (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) -2 -1 -2 -2 -1 -2 (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (exp (/ (/ 1 N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (* (- N) N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ (/ 1 N) N) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (expm1 (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (log1p (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (log (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (exp (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (* (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (* (* (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) 10.602 * * * [progress]: adding candidates to table 10.821 * * [progress]: iteration 3 / 4 10.821 * * * [progress]: picking best candidate 10.833 * * * * [pick]: Picked # 10.833 * * * [progress]: localizing error 10.846 * * * [progress]: generating rewritten candidates 10.846 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.859 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.906 * * * [progress]: generating series expansions 10.906 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.907 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 10.907 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 10.907 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.907 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.907 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.907 * [taylor]: Taking taylor expansion of N in N 10.907 * [backup-simplify]: Simplify 0 into 0 10.907 * [backup-simplify]: Simplify 1 into 1 10.907 * [taylor]: Taking taylor expansion of 1.0 in N 10.907 * [backup-simplify]: Simplify 1.0 into 1.0 10.907 * [taylor]: Taking taylor expansion of N in N 10.907 * [backup-simplify]: Simplify 0 into 0 10.907 * [backup-simplify]: Simplify 1 into 1 10.908 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.908 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.909 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.909 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.909 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.909 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.909 * [taylor]: Taking taylor expansion of N in N 10.909 * [backup-simplify]: Simplify 0 into 0 10.909 * [backup-simplify]: Simplify 1 into 1 10.909 * [taylor]: Taking taylor expansion of 1.0 in N 10.909 * [backup-simplify]: Simplify 1.0 into 1.0 10.909 * [taylor]: Taking taylor expansion of N in N 10.909 * [backup-simplify]: Simplify 0 into 0 10.910 * [backup-simplify]: Simplify 1 into 1 10.910 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.910 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.911 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.912 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 10.912 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 10.913 * [backup-simplify]: Simplify (+ 1 0) into 1 10.914 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 10.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.919 * [backup-simplify]: Simplify 1.0 into 1.0 10.919 * [backup-simplify]: Simplify (+ 0 0) into 0 10.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.931 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.933 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 10.933 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 10.933 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 10.933 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.933 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.933 * [taylor]: Taking taylor expansion of N in N 10.933 * [backup-simplify]: Simplify 0 into 0 10.933 * [backup-simplify]: Simplify 1 into 1 10.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.933 * [taylor]: Taking taylor expansion of N in N 10.933 * [backup-simplify]: Simplify 0 into 0 10.933 * [backup-simplify]: Simplify 1 into 1 10.934 * [backup-simplify]: Simplify (/ 1 1) into 1 10.934 * [taylor]: Taking taylor expansion of 1.0 in N 10.934 * [backup-simplify]: Simplify 1.0 into 1.0 10.935 * [backup-simplify]: Simplify (+ 1 0) into 1 10.935 * [backup-simplify]: Simplify (* 0 1) into 0 10.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.937 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.937 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.938 * [backup-simplify]: Simplify (log 1) into 0 10.938 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.938 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.938 * [taylor]: Taking taylor expansion of N in N 10.938 * [backup-simplify]: Simplify 0 into 0 10.938 * [backup-simplify]: Simplify 1 into 1 10.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.938 * [taylor]: Taking taylor expansion of N in N 10.938 * [backup-simplify]: Simplify 0 into 0 10.938 * [backup-simplify]: Simplify 1 into 1 10.939 * [backup-simplify]: Simplify (/ 1 1) into 1 10.939 * [taylor]: Taking taylor expansion of 1.0 in N 10.939 * [backup-simplify]: Simplify 1.0 into 1.0 10.939 * [backup-simplify]: Simplify (+ 1 0) into 1 10.939 * [backup-simplify]: Simplify (* 0 1) into 0 10.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.941 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.941 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.942 * [backup-simplify]: Simplify (log 1) into 0 10.942 * [backup-simplify]: Simplify 0 into 0 10.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.943 * [backup-simplify]: Simplify (+ 0 0) into 0 10.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 10.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.951 * [backup-simplify]: Simplify 1.0 into 1.0 10.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.953 * [backup-simplify]: Simplify (+ 0 0) into 0 10.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 10.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.967 * [backup-simplify]: Simplify -0.5 into -0.5 10.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.968 * [backup-simplify]: Simplify (+ 0 0) into 0 10.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 10.986 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 10.987 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 10.988 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 10.988 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 10.988 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 10.988 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.988 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.988 * [taylor]: Taking taylor expansion of -1 in N 10.988 * [backup-simplify]: Simplify -1 into -1 10.988 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.988 * [taylor]: Taking taylor expansion of N in N 10.988 * [backup-simplify]: Simplify 0 into 0 10.988 * [backup-simplify]: Simplify 1 into 1 10.988 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.988 * [taylor]: Taking taylor expansion of 1.0 in N 10.988 * [backup-simplify]: Simplify 1.0 into 1.0 10.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.989 * [taylor]: Taking taylor expansion of N in N 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify 1 into 1 10.989 * [backup-simplify]: Simplify (/ 1 1) into 1 10.990 * [backup-simplify]: Simplify (- 1) into -1 10.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.990 * [backup-simplify]: Simplify (* 0 -1) into 0 10.991 * [backup-simplify]: Simplify (* -1 0) into 0 10.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.992 * [backup-simplify]: Simplify (- 0) into 0 10.992 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.993 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.993 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.994 * [backup-simplify]: Simplify (log 1) into 0 10.994 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.994 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.994 * [taylor]: Taking taylor expansion of -1 in N 10.994 * [backup-simplify]: Simplify -1 into -1 10.994 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.994 * [taylor]: Taking taylor expansion of N in N 10.994 * [backup-simplify]: Simplify 0 into 0 10.994 * [backup-simplify]: Simplify 1 into 1 10.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.994 * [taylor]: Taking taylor expansion of 1.0 in N 10.994 * [backup-simplify]: Simplify 1.0 into 1.0 10.994 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.994 * [taylor]: Taking taylor expansion of N in N 10.994 * [backup-simplify]: Simplify 0 into 0 10.994 * [backup-simplify]: Simplify 1 into 1 10.995 * [backup-simplify]: Simplify (/ 1 1) into 1 10.995 * [backup-simplify]: Simplify (- 1) into -1 10.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.996 * [backup-simplify]: Simplify (* 0 -1) into 0 10.996 * [backup-simplify]: Simplify (* -1 0) into 0 10.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.997 * [backup-simplify]: Simplify (- 0) into 0 10.998 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.998 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.999 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.999 * [backup-simplify]: Simplify (log 1) into 0 11.000 * [backup-simplify]: Simplify 0 into 0 11.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.001 * [backup-simplify]: Simplify (- 0) into 0 11.001 * [backup-simplify]: Simplify (+ 0 0) into 0 11.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 11.006 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 11.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 11.014 * [backup-simplify]: Simplify -1.0 into -1.0 11.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.016 * [backup-simplify]: Simplify (- 0) into 0 11.016 * [backup-simplify]: Simplify (+ 0 0) into 0 11.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 11.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 11.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.036 * [backup-simplify]: Simplify -0.5 into -0.5 11.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.038 * [backup-simplify]: Simplify (- 0) into 0 11.038 * [backup-simplify]: Simplify (+ 0 0) into 0 11.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 11.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 11.060 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 11.060 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.061 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.061 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 11.061 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 11.061 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 11.061 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 11.061 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.061 * [taylor]: Taking taylor expansion of N in N 11.061 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify 1 into 1 11.062 * [taylor]: Taking taylor expansion of 1.0 in N 11.062 * [backup-simplify]: Simplify 1.0 into 1.0 11.062 * [taylor]: Taking taylor expansion of N in N 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.063 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 11.063 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 11.063 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.063 * [taylor]: Taking taylor expansion of N in N 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 1 into 1 11.063 * [taylor]: Taking taylor expansion of 1.0 in N 11.063 * [backup-simplify]: Simplify 1.0 into 1.0 11.063 * [taylor]: Taking taylor expansion of N in N 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 1 into 1 11.063 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.064 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 11.064 * [backup-simplify]: Simplify 1.0 into 1.0 11.064 * [backup-simplify]: Simplify (+ 1 0) into 1 11.065 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 11.065 * [backup-simplify]: Simplify 1 into 1 11.066 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify (+ 0 0) into 0 11.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.069 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify (+ 0 0) into 0 11.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.070 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify (+ 0 0) into 0 11.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify (+ 0 0) into 0 11.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [backup-simplify]: Simplify (+ 0 0) into 0 11.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.075 * [backup-simplify]: Simplify 0 into 0 11.075 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 11.076 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 11.076 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 11.076 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 11.076 * [taylor]: Taking taylor expansion of N in N 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 1 into 1 11.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.076 * [taylor]: Taking taylor expansion of N in N 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 1 into 1 11.076 * [backup-simplify]: Simplify (/ 1 1) into 1 11.076 * [taylor]: Taking taylor expansion of 1.0 in N 11.076 * [backup-simplify]: Simplify 1.0 into 1.0 11.076 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 11.076 * [taylor]: Taking taylor expansion of N in N 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 1 into 1 11.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.076 * [taylor]: Taking taylor expansion of N in N 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 1 into 1 11.077 * [backup-simplify]: Simplify (/ 1 1) into 1 11.077 * [taylor]: Taking taylor expansion of 1.0 in N 11.077 * [backup-simplify]: Simplify 1.0 into 1.0 11.077 * [backup-simplify]: Simplify (+ 1 0) into 1 11.078 * [backup-simplify]: Simplify (* 0 1) into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.079 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 11.079 * [backup-simplify]: Simplify 1 into 1 11.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.081 * [backup-simplify]: Simplify (+ 0 0) into 0 11.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 11.083 * [backup-simplify]: Simplify 1.0 into 1.0 11.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.085 * [backup-simplify]: Simplify (+ 0 0) into 0 11.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 11.086 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.087 * [backup-simplify]: Simplify (+ 0 0) into 0 11.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 11.089 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.090 * [backup-simplify]: Simplify (+ 0 0) into 0 11.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 11.091 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.093 * [backup-simplify]: Simplify (+ 0 0) into 0 11.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 11.095 * [backup-simplify]: Simplify 0 into 0 11.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.096 * [backup-simplify]: Simplify (+ 0 0) into 0 11.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 11.098 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.099 * [backup-simplify]: Simplify (+ 0 0) into 0 11.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 11.101 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 11.102 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 11.102 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 11.102 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 11.102 * [taylor]: Taking taylor expansion of -1 in N 11.102 * [backup-simplify]: Simplify -1 into -1 11.102 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 11.102 * [taylor]: Taking taylor expansion of N in N 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 1 into 1 11.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.102 * [taylor]: Taking taylor expansion of 1.0 in N 11.102 * [backup-simplify]: Simplify 1.0 into 1.0 11.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.102 * [taylor]: Taking taylor expansion of N in N 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 1 into 1 11.103 * [backup-simplify]: Simplify (/ 1 1) into 1 11.103 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 11.103 * [taylor]: Taking taylor expansion of -1 in N 11.103 * [backup-simplify]: Simplify -1 into -1 11.103 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 11.103 * [taylor]: Taking taylor expansion of N in N 11.103 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.103 * [taylor]: Taking taylor expansion of 1.0 in N 11.103 * [backup-simplify]: Simplify 1.0 into 1.0 11.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.103 * [taylor]: Taking taylor expansion of N in N 11.103 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify 1 into 1 11.104 * [backup-simplify]: Simplify (/ 1 1) into 1 11.104 * [backup-simplify]: Simplify (- 1) into -1 11.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.105 * [backup-simplify]: Simplify (* 0 -1) into 0 11.105 * [backup-simplify]: Simplify (* -1 0) into 0 11.105 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.106 * [backup-simplify]: Simplify (- 0) into 0 11.107 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.107 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 11.108 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 11.108 * [backup-simplify]: Simplify 1 into 1 11.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.109 * [backup-simplify]: Simplify (- 0) into 0 11.109 * [backup-simplify]: Simplify (+ 0 0) into 0 11.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 11.115 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 11.115 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.116 * [backup-simplify]: Simplify (- 0) into 0 11.116 * [backup-simplify]: Simplify (+ 0 0) into 0 11.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 11.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.119 * [backup-simplify]: Simplify (- 0) into 0 11.119 * [backup-simplify]: Simplify (+ 0 0) into 0 11.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 11.121 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.122 * [backup-simplify]: Simplify (- 0) into 0 11.122 * [backup-simplify]: Simplify (+ 0 0) into 0 11.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 11.125 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 11.125 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.126 * [backup-simplify]: Simplify (- 0) into 0 11.126 * [backup-simplify]: Simplify (+ 0 0) into 0 11.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 11.131 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 11.131 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.132 * [backup-simplify]: Simplify (- 0) into 0 11.133 * [backup-simplify]: Simplify (+ 0 0) into 0 11.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 11.135 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 11.135 * [backup-simplify]: Simplify 0 into 0 11.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.137 * [backup-simplify]: Simplify (- 0) into 0 11.137 * [backup-simplify]: Simplify (+ 0 0) into 0 11.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 11.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 11.141 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 11.142 * * * [progress]: simplifying candidates 11.144 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 11.145 * * [simplify]: iteration 0: 112 enodes 11.221 * * [simplify]: iteration 1: 253 enodes 11.392 * * [simplify]: iteration 2: 621 enodes 12.106 * * [simplify]: iteration 3: 2308 enodes 13.807 * * [simplify]: iteration complete: 5001 enodes 13.807 * * [simplify]: Extracting #0: cost 67 inf + 0 13.809 * * [simplify]: Extracting #1: cost 602 inf + 2 13.823 * * [simplify]: Extracting #2: cost 1435 inf + 5949 13.856 * * [simplify]: Extracting #3: cost 1059 inf + 79814 13.951 * * [simplify]: Extracting #4: cost 217 inf + 226303 14.045 * * [simplify]: Extracting #5: cost 37 inf + 271774 14.169 * * [simplify]: Extracting #6: cost 0 inf + 284096 14.269 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (log (/ (+ 1.0 N) N)) (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ N 1.0)) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (fma 1.0 (- 1.0 N) (* N N))) (* N (- N 1.0)) (fma N 1.0 (- (log 1.0) (fma (/ N 1.0) (* (/ N 1.0) 1/2) (log N)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 14.275 * * * [progress]: adding candidates to table 14.675 * * [progress]: iteration 4 / 4 14.675 * * * [progress]: picking best candidate 14.682 * * * * [pick]: Picked # 14.682 * * * [progress]: localizing error 14.732 * * * [progress]: generating rewritten candidates 14.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 14.744 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 14.765 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 14.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 14.827 * * * [progress]: generating series expansions 14.828 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 14.828 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 14.828 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 14.828 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 14.828 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 14.828 * [taylor]: Taking taylor expansion of N in N 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify 1 into 1 14.828 * [taylor]: Taking taylor expansion of 1.0 in N 14.828 * [backup-simplify]: Simplify 1.0 into 1.0 14.830 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.831 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.831 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 14.831 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 14.831 * [taylor]: Taking taylor expansion of N in N 14.831 * [backup-simplify]: Simplify 0 into 0 14.831 * [backup-simplify]: Simplify 1 into 1 14.831 * [taylor]: Taking taylor expansion of 1.0 in N 14.831 * [backup-simplify]: Simplify 1.0 into 1.0 14.832 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.832 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.833 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.833 * [backup-simplify]: Simplify (+ 1 0) into 1 14.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 14.836 * [backup-simplify]: Simplify 1.0 into 1.0 14.837 * [backup-simplify]: Simplify (+ 0 0) into 0 14.846 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 14.847 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 14.849 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 14.849 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 14.849 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 14.849 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 14.849 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 14.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.849 * [taylor]: Taking taylor expansion of N in N 14.849 * [backup-simplify]: Simplify 0 into 0 14.849 * [backup-simplify]: Simplify 1 into 1 14.849 * [backup-simplify]: Simplify (/ 1 1) into 1 14.850 * [taylor]: Taking taylor expansion of 1.0 in N 14.850 * [backup-simplify]: Simplify 1.0 into 1.0 14.850 * [backup-simplify]: Simplify (+ 1 0) into 1 14.850 * [backup-simplify]: Simplify (log 1) into 0 14.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 14.850 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 14.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.850 * [taylor]: Taking taylor expansion of N in N 14.851 * [backup-simplify]: Simplify 0 into 0 14.851 * [backup-simplify]: Simplify 1 into 1 14.851 * [backup-simplify]: Simplify (/ 1 1) into 1 14.851 * [taylor]: Taking taylor expansion of 1.0 in N 14.851 * [backup-simplify]: Simplify 1.0 into 1.0 14.851 * [backup-simplify]: Simplify (+ 1 0) into 1 14.852 * [backup-simplify]: Simplify (log 1) into 0 14.852 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 14.852 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 14.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.854 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 14.860 * [backup-simplify]: Simplify 1.0 into 1.0 14.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.862 * [backup-simplify]: Simplify (+ 0 0) into 0 14.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 14.874 * [backup-simplify]: Simplify -0.5 into -0.5 14.874 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 14.874 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 14.874 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 14.874 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 14.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 14.874 * [taylor]: Taking taylor expansion of 1.0 in N 14.875 * [backup-simplify]: Simplify 1.0 into 1.0 14.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.875 * [taylor]: Taking taylor expansion of N in N 14.875 * [backup-simplify]: Simplify 0 into 0 14.875 * [backup-simplify]: Simplify 1 into 1 14.875 * [backup-simplify]: Simplify (/ 1 1) into 1 14.876 * [backup-simplify]: Simplify (- 1) into -1 14.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.876 * [backup-simplify]: Simplify (log -1) into (log -1) 14.876 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 14.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 14.877 * [taylor]: Taking taylor expansion of 1.0 in N 14.877 * [backup-simplify]: Simplify 1.0 into 1.0 14.877 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.877 * [taylor]: Taking taylor expansion of N in N 14.877 * [backup-simplify]: Simplify 0 into 0 14.877 * [backup-simplify]: Simplify 1 into 1 14.877 * [backup-simplify]: Simplify (/ 1 1) into 1 14.877 * [backup-simplify]: Simplify (- 1) into -1 14.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.878 * [backup-simplify]: Simplify (log -1) into (log -1) 14.879 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 14.880 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 14.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.881 * [backup-simplify]: Simplify (- 0) into 0 14.881 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 14.893 * [backup-simplify]: Simplify -1.0 into -1.0 14.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.894 * [backup-simplify]: Simplify (- 0) into 0 14.895 * [backup-simplify]: Simplify (+ 0 0) into 0 14.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 14.903 * [backup-simplify]: Simplify -0.5 into -0.5 14.904 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 14.904 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 14.904 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 14.904 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 14.904 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 14.904 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 14.904 * [taylor]: Taking taylor expansion of N in N 14.904 * [backup-simplify]: Simplify 0 into 0 14.904 * [backup-simplify]: Simplify 1 into 1 14.904 * [taylor]: Taking taylor expansion of 1.0 in N 14.905 * [backup-simplify]: Simplify 1.0 into 1.0 14.905 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.905 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.905 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 14.905 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 14.905 * [taylor]: Taking taylor expansion of N in N 14.905 * [backup-simplify]: Simplify 0 into 0 14.905 * [backup-simplify]: Simplify 1 into 1 14.905 * [taylor]: Taking taylor expansion of 1.0 in N 14.905 * [backup-simplify]: Simplify 1.0 into 1.0 14.906 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.906 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.907 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.907 * [backup-simplify]: Simplify (+ 1 0) into 1 14.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 14.913 * [backup-simplify]: Simplify 1.0 into 1.0 14.914 * [backup-simplify]: Simplify (+ 0 0) into 0 14.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 14.925 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 14.927 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 14.927 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 14.927 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 14.927 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 14.927 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 14.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.927 * [taylor]: Taking taylor expansion of N in N 14.927 * [backup-simplify]: Simplify 0 into 0 14.928 * [backup-simplify]: Simplify 1 into 1 14.928 * [backup-simplify]: Simplify (/ 1 1) into 1 14.928 * [taylor]: Taking taylor expansion of 1.0 in N 14.928 * [backup-simplify]: Simplify 1.0 into 1.0 14.928 * [backup-simplify]: Simplify (+ 1 0) into 1 14.929 * [backup-simplify]: Simplify (log 1) into 0 14.929 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 14.929 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 14.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.929 * [taylor]: Taking taylor expansion of N in N 14.929 * [backup-simplify]: Simplify 0 into 0 14.929 * [backup-simplify]: Simplify 1 into 1 14.929 * [backup-simplify]: Simplify (/ 1 1) into 1 14.929 * [taylor]: Taking taylor expansion of 1.0 in N 14.929 * [backup-simplify]: Simplify 1.0 into 1.0 14.930 * [backup-simplify]: Simplify (+ 1 0) into 1 14.930 * [backup-simplify]: Simplify (log 1) into 0 14.931 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 14.931 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 14.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.932 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 14.938 * [backup-simplify]: Simplify 1.0 into 1.0 14.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.939 * [backup-simplify]: Simplify (+ 0 0) into 0 14.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 14.948 * [backup-simplify]: Simplify -0.5 into -0.5 14.949 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 14.949 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 14.949 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 14.949 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 14.949 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 14.949 * [taylor]: Taking taylor expansion of 1.0 in N 14.949 * [backup-simplify]: Simplify 1.0 into 1.0 14.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.949 * [taylor]: Taking taylor expansion of N in N 14.949 * [backup-simplify]: Simplify 0 into 0 14.949 * [backup-simplify]: Simplify 1 into 1 14.949 * [backup-simplify]: Simplify (/ 1 1) into 1 14.950 * [backup-simplify]: Simplify (- 1) into -1 14.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.951 * [backup-simplify]: Simplify (log -1) into (log -1) 14.951 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 14.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 14.951 * [taylor]: Taking taylor expansion of 1.0 in N 14.951 * [backup-simplify]: Simplify 1.0 into 1.0 14.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.951 * [taylor]: Taking taylor expansion of N in N 14.951 * [backup-simplify]: Simplify 0 into 0 14.951 * [backup-simplify]: Simplify 1 into 1 14.951 * [backup-simplify]: Simplify (/ 1 1) into 1 14.952 * [backup-simplify]: Simplify (- 1) into -1 14.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.952 * [backup-simplify]: Simplify (log -1) into (log -1) 14.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 14.953 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 14.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.954 * [backup-simplify]: Simplify (- 0) into 0 14.954 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 14.958 * [backup-simplify]: Simplify -1.0 into -1.0 14.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.959 * [backup-simplify]: Simplify (- 0) into 0 14.959 * [backup-simplify]: Simplify (+ 0 0) into 0 14.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 14.971 * [backup-simplify]: Simplify -0.5 into -0.5 14.972 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 14.972 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 14.973 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 14.973 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 14.973 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 14.973 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 14.973 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 14.973 * [taylor]: Taking taylor expansion of N in N 14.973 * [backup-simplify]: Simplify 0 into 0 14.973 * [backup-simplify]: Simplify 1 into 1 14.973 * [taylor]: Taking taylor expansion of 1.0 in N 14.973 * [backup-simplify]: Simplify 1.0 into 1.0 14.974 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.974 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.974 * [taylor]: Taking taylor expansion of (log N) in N 14.975 * [taylor]: Taking taylor expansion of N in N 14.975 * [backup-simplify]: Simplify 0 into 0 14.975 * [backup-simplify]: Simplify 1 into 1 14.975 * [backup-simplify]: Simplify (log 1) into 0 14.975 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 14.975 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 14.975 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 14.975 * [taylor]: Taking taylor expansion of N in N 14.975 * [backup-simplify]: Simplify 0 into 0 14.975 * [backup-simplify]: Simplify 1 into 1 14.975 * [taylor]: Taking taylor expansion of 1.0 in N 14.975 * [backup-simplify]: Simplify 1.0 into 1.0 14.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.977 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 14.977 * [taylor]: Taking taylor expansion of (log N) in N 14.977 * [taylor]: Taking taylor expansion of N in N 14.977 * [backup-simplify]: Simplify 0 into 0 14.977 * [backup-simplify]: Simplify 1 into 1 14.977 * [backup-simplify]: Simplify (log 1) into 0 14.978 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.978 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 14.978 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 14.979 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 14.979 * [backup-simplify]: Simplify (+ 1 0) into 1 14.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 14.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.987 * [backup-simplify]: Simplify (- 0) into 0 14.987 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.987 * [backup-simplify]: Simplify 1.0 into 1.0 14.988 * [backup-simplify]: Simplify (+ 0 0) into 0 14.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 15.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.006 * [backup-simplify]: Simplify (- 0) into 0 15.008 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 15.011 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 15.013 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 15.013 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 15.013 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 15.013 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 15.013 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 15.013 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.013 * [taylor]: Taking taylor expansion of N in N 15.013 * [backup-simplify]: Simplify 0 into 0 15.013 * [backup-simplify]: Simplify 1 into 1 15.014 * [backup-simplify]: Simplify (/ 1 1) into 1 15.014 * [taylor]: Taking taylor expansion of 1.0 in N 15.014 * [backup-simplify]: Simplify 1.0 into 1.0 15.014 * [backup-simplify]: Simplify (+ 1 0) into 1 15.015 * [backup-simplify]: Simplify (log 1) into 0 15.015 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 15.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.015 * [taylor]: Taking taylor expansion of N in N 15.015 * [backup-simplify]: Simplify 0 into 0 15.015 * [backup-simplify]: Simplify 1 into 1 15.015 * [backup-simplify]: Simplify (/ 1 1) into 1 15.015 * [backup-simplify]: Simplify (log 1) into 0 15.015 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 15.016 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 15.016 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.016 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.016 * [taylor]: Taking taylor expansion of N in N 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [backup-simplify]: Simplify 1 into 1 15.016 * [backup-simplify]: Simplify (/ 1 1) into 1 15.016 * [taylor]: Taking taylor expansion of 1.0 in N 15.016 * [backup-simplify]: Simplify 1.0 into 1.0 15.016 * [backup-simplify]: Simplify (+ 1 0) into 1 15.017 * [backup-simplify]: Simplify (log 1) into 0 15.017 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 15.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.017 * [taylor]: Taking taylor expansion of N in N 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 1 into 1 15.017 * [backup-simplify]: Simplify (/ 1 1) into 1 15.018 * [backup-simplify]: Simplify (log 1) into 0 15.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 15.019 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 15.019 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 15.019 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 15.019 * [backup-simplify]: Simplify 0 into 0 15.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.020 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 15.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.028 * [backup-simplify]: Simplify (- 0) into 0 15.029 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.029 * [backup-simplify]: Simplify 1.0 into 1.0 15.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.030 * [backup-simplify]: Simplify (+ 0 0) into 0 15.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 15.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.054 * [backup-simplify]: Simplify (- 0) into 0 15.055 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 15.055 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.056 * [backup-simplify]: Simplify (+ 0 0) into 0 15.076 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 15.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.083 * [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 15.084 * [backup-simplify]: Simplify (- 0) into 0 15.084 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.084 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.085 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 15.086 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 15.086 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 15.086 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 15.086 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 15.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.086 * [taylor]: Taking taylor expansion of 1.0 in N 15.086 * [backup-simplify]: Simplify 1.0 into 1.0 15.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.086 * [taylor]: Taking taylor expansion of N in N 15.086 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify 1 into 1 15.086 * [backup-simplify]: Simplify (/ 1 1) into 1 15.087 * [backup-simplify]: Simplify (- 1) into -1 15.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.087 * [backup-simplify]: Simplify (log -1) into (log -1) 15.087 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 15.087 * [taylor]: Taking taylor expansion of (/ -1 N) in N 15.087 * [taylor]: Taking taylor expansion of -1 in N 15.088 * [backup-simplify]: Simplify -1 into -1 15.088 * [taylor]: Taking taylor expansion of N in N 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify 1 into 1 15.088 * [backup-simplify]: Simplify (/ -1 1) into -1 15.088 * [backup-simplify]: Simplify (log -1) into (log -1) 15.088 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 15.088 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 15.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.089 * [taylor]: Taking taylor expansion of 1.0 in N 15.089 * [backup-simplify]: Simplify 1.0 into 1.0 15.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.089 * [taylor]: Taking taylor expansion of N in N 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify 1 into 1 15.089 * [backup-simplify]: Simplify (/ 1 1) into 1 15.089 * [backup-simplify]: Simplify (- 1) into -1 15.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.090 * [backup-simplify]: Simplify (log -1) into (log -1) 15.090 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 15.090 * [taylor]: Taking taylor expansion of (/ -1 N) in N 15.090 * [taylor]: Taking taylor expansion of -1 in N 15.090 * [backup-simplify]: Simplify -1 into -1 15.090 * [taylor]: Taking taylor expansion of N in N 15.090 * [backup-simplify]: Simplify 0 into 0 15.090 * [backup-simplify]: Simplify 1 into 1 15.091 * [backup-simplify]: Simplify (/ -1 1) into -1 15.091 * [backup-simplify]: Simplify (log -1) into (log -1) 15.092 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 15.093 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 15.093 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 15.094 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 15.094 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.095 * [backup-simplify]: Simplify (- 0) into 0 15.096 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 15.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.105 * [backup-simplify]: Simplify (- 0) into 0 15.106 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 15.106 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.107 * [backup-simplify]: Simplify (- 0) into 0 15.108 * [backup-simplify]: Simplify (+ 0 0) into 0 15.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 15.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.125 * [backup-simplify]: Simplify (- 0) into 0 15.125 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 15.125 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.127 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify (+ 0 0) into 0 15.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 15.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.153 * [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 15.154 * [backup-simplify]: Simplify (- 0) into 0 15.155 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 15.155 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 15.157 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 15.157 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 15.157 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 15.157 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 15.157 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 15.158 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 15.158 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.158 * [taylor]: Taking taylor expansion of N in N 15.158 * [backup-simplify]: Simplify 0 into 0 15.158 * [backup-simplify]: Simplify 1 into 1 15.158 * [taylor]: Taking taylor expansion of 1.0 in N 15.158 * [backup-simplify]: Simplify 1.0 into 1.0 15.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.159 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.159 * [taylor]: Taking taylor expansion of (log N) in N 15.159 * [taylor]: Taking taylor expansion of N in N 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify 1 into 1 15.159 * [backup-simplify]: Simplify (log 1) into 0 15.159 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 15.159 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 15.159 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.159 * [taylor]: Taking taylor expansion of N in N 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify 1 into 1 15.159 * [taylor]: Taking taylor expansion of 1.0 in N 15.159 * [backup-simplify]: Simplify 1.0 into 1.0 15.160 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.160 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.160 * [taylor]: Taking taylor expansion of (log N) in N 15.160 * [taylor]: Taking taylor expansion of N in N 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify 1 into 1 15.161 * [backup-simplify]: Simplify (log 1) into 0 15.161 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 15.161 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 15.162 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 15.162 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 15.163 * [backup-simplify]: Simplify (+ 1 0) into 1 15.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 15.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.171 * [backup-simplify]: Simplify (- 0) into 0 15.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.171 * [backup-simplify]: Simplify 1.0 into 1.0 15.172 * [backup-simplify]: Simplify (+ 0 0) into 0 15.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 15.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.186 * [backup-simplify]: Simplify (- 0) into 0 15.188 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 15.191 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 15.198 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 15.198 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 15.198 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 15.198 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 15.198 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 15.198 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.198 * [taylor]: Taking taylor expansion of N in N 15.198 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify 1 into 1 15.199 * [backup-simplify]: Simplify (/ 1 1) into 1 15.199 * [taylor]: Taking taylor expansion of 1.0 in N 15.199 * [backup-simplify]: Simplify 1.0 into 1.0 15.199 * [backup-simplify]: Simplify (+ 1 0) into 1 15.200 * [backup-simplify]: Simplify (log 1) into 0 15.200 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 15.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.200 * [taylor]: Taking taylor expansion of N in N 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 1 into 1 15.200 * [backup-simplify]: Simplify (/ 1 1) into 1 15.201 * [backup-simplify]: Simplify (log 1) into 0 15.201 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 15.201 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 15.201 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.201 * [taylor]: Taking taylor expansion of N in N 15.201 * [backup-simplify]: Simplify 0 into 0 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [backup-simplify]: Simplify (/ 1 1) into 1 15.201 * [taylor]: Taking taylor expansion of 1.0 in N 15.201 * [backup-simplify]: Simplify 1.0 into 1.0 15.202 * [backup-simplify]: Simplify (+ 1 0) into 1 15.202 * [backup-simplify]: Simplify (log 1) into 0 15.202 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 15.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.202 * [taylor]: Taking taylor expansion of N in N 15.202 * [backup-simplify]: Simplify 0 into 0 15.202 * [backup-simplify]: Simplify 1 into 1 15.203 * [backup-simplify]: Simplify (/ 1 1) into 1 15.203 * [backup-simplify]: Simplify (log 1) into 0 15.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 15.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 15.204 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 15.204 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 15.204 * [backup-simplify]: Simplify 0 into 0 15.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.205 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 15.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.214 * [backup-simplify]: Simplify (- 0) into 0 15.215 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.215 * [backup-simplify]: Simplify 1.0 into 1.0 15.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.217 * [backup-simplify]: Simplify (+ 0 0) into 0 15.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 15.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.234 * [backup-simplify]: Simplify (- 0) into 0 15.235 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 15.236 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.238 * [backup-simplify]: Simplify (+ 0 0) into 0 15.258 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 15.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.264 * [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 15.265 * [backup-simplify]: Simplify (- 0) into 0 15.266 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.266 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.267 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 15.268 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 15.268 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 15.268 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 15.268 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 15.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.268 * [taylor]: Taking taylor expansion of 1.0 in N 15.268 * [backup-simplify]: Simplify 1.0 into 1.0 15.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.268 * [taylor]: Taking taylor expansion of N in N 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 1 into 1 15.269 * [backup-simplify]: Simplify (/ 1 1) into 1 15.269 * [backup-simplify]: Simplify (- 1) into -1 15.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.270 * [backup-simplify]: Simplify (log -1) into (log -1) 15.270 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 15.270 * [taylor]: Taking taylor expansion of (/ -1 N) in N 15.270 * [taylor]: Taking taylor expansion of -1 in N 15.270 * [backup-simplify]: Simplify -1 into -1 15.270 * [taylor]: Taking taylor expansion of N in N 15.270 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify 1 into 1 15.271 * [backup-simplify]: Simplify (/ -1 1) into -1 15.271 * [backup-simplify]: Simplify (log -1) into (log -1) 15.271 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 15.271 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 15.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.271 * [taylor]: Taking taylor expansion of 1.0 in N 15.271 * [backup-simplify]: Simplify 1.0 into 1.0 15.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.271 * [taylor]: Taking taylor expansion of N in N 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.272 * [backup-simplify]: Simplify (/ 1 1) into 1 15.272 * [backup-simplify]: Simplify (- 1) into -1 15.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.273 * [backup-simplify]: Simplify (log -1) into (log -1) 15.273 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 15.273 * [taylor]: Taking taylor expansion of (/ -1 N) in N 15.273 * [taylor]: Taking taylor expansion of -1 in N 15.273 * [backup-simplify]: Simplify -1 into -1 15.273 * [taylor]: Taking taylor expansion of N in N 15.273 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify 1 into 1 15.273 * [backup-simplify]: Simplify (/ -1 1) into -1 15.274 * [backup-simplify]: Simplify (log -1) into (log -1) 15.275 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 15.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 15.276 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 15.277 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.279 * [backup-simplify]: Simplify (- 0) into 0 15.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 15.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.290 * [backup-simplify]: Simplify (- 0) into 0 15.290 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 15.291 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.292 * [backup-simplify]: Simplify (- 0) into 0 15.293 * [backup-simplify]: Simplify (+ 0 0) into 0 15.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 15.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.311 * [backup-simplify]: Simplify (- 0) into 0 15.311 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 15.312 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.313 * [backup-simplify]: Simplify (- 0) into 0 15.314 * [backup-simplify]: Simplify (+ 0 0) into 0 15.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 15.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.346 * [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 15.346 * [backup-simplify]: Simplify (- 0) into 0 15.347 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 15.347 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 15.349 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 15.349 * * * [progress]: simplifying candidates 15.354 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 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0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) 19.402 * * * [progress]: adding candidates to table 20.223 * [progress]: [Phase 3 of 3] Extracting. 20.223 * * [regime]: Finding splitpoints for: (# # #) 20.225 * * * [regime-changes]: Trying 1 branch expressions: (N) 20.226 * * * * [regimes]: Trying to branch on N from (# # #) 20.297 * * * [regime]: Found split indices: #