0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.131 * * * [progress]: [2/2] Setting up program. 0.134 * [progress]: [Phase 2 of 3] Improving. 0.134 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.134 * [simplify]: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) 0.134 * * [simplify]: iteration 1: (9 enodes) 0.137 * * [simplify]: iteration 2: (40 enodes) 0.149 * * [simplify]: iteration 3: (78 enodes) 0.176 * * [simplify]: iteration 4: (124 enodes) 0.201 * * [simplify]: iteration 5: (191 enodes) 0.281 * * [simplify]: iteration 6: (363 enodes) 0.353 * * [simplify]: iteration 7: (496 enodes) 0.542 * * [simplify]: iteration 8: (732 enodes) 1.044 * * [simplify]: iteration 9: (1202 enodes) 2.150 * * [simplify]: Extracting #0: cost 1 inf + 0 2.150 * * [simplify]: Extracting #1: cost 56 inf + 0 2.151 * * [simplify]: Extracting #2: cost 145 inf + 4 2.153 * * [simplify]: Extracting #3: cost 118 inf + 3671 2.162 * * [simplify]: Extracting #4: cost 15 inf + 27144 2.185 * * [simplify]: Extracting #5: cost 0 inf + 31233 2.205 * [simplify]: Simplified to (fma (- (log1p n) (log n)) n (+ (log1p n) -1)) 2.219 * * [progress]: iteration 1 / 4 2.219 * * * [progress]: picking best candidate 2.228 * * * * [pick]: Picked # 2.228 * * * [progress]: localizing error 2.262 * * * [progress]: generating rewritten candidates 2.262 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.274 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.274 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1) 2.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.277 * * * [progress]: generating series expansions 2.277 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.277 * [backup-simplify]: Simplify (- (log1p n) (log n)) into (- (log1p n) (log n)) 2.277 * [approximate]: Taking taylor expansion of (- (log1p n) (log n)) in (n) around 0 2.277 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 2.277 * [taylor]: Taking taylor expansion of (log1p n) in n 2.277 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.278 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.278 * [taylor]: Taking taylor expansion of 1 in n 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of n in n 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (+ 1 0) into 1 2.279 * [backup-simplify]: Simplify (log 1) into 0 2.279 * [taylor]: Taking taylor expansion of (log n) in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (log 1) into 0 2.279 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 2.279 * [taylor]: Taking taylor expansion of (log1p n) in n 2.279 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.279 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.279 * [taylor]: Taking taylor expansion of 1 in n 2.279 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of n in n 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (+ 1 0) into 1 2.280 * [backup-simplify]: Simplify (log 1) into 0 2.280 * [taylor]: Taking taylor expansion of (log n) in n 2.280 * [taylor]: Taking taylor expansion of n in n 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (log 1) into 0 2.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.281 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.282 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 2.282 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.282 * [backup-simplify]: Simplify (+ 0 1) into 1 2.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [backup-simplify]: Simplify (+ 1 0) into 1 2.284 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.288 * [backup-simplify]: Simplify (- 0) into 0 2.289 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.289 * [backup-simplify]: Simplify -1/2 into -1/2 2.289 * [backup-simplify]: Simplify (+ (* -1/2 (pow n 2)) (+ (* 1 n) (- (log n)))) into (- n (+ (log n) (* 1/2 (pow n 2)))) 2.289 * [backup-simplify]: Simplify (- (log1p (/ 1 n)) (log (/ 1 n))) into (- (log1p (/ 1 n)) (log (/ 1 n))) 2.289 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in (n) around 0 2.289 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 2.289 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.289 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.289 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.289 * [taylor]: Taking taylor expansion of 1 in n 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [backup-simplify]: Simplify (+ 0 1) into 1 2.290 * [backup-simplify]: Simplify (log 1) into 0 2.290 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.290 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [backup-simplify]: Simplify (log 1) into 0 2.290 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 2.290 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.290 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.290 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.290 * [taylor]: Taking taylor expansion of 1 in n 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [backup-simplify]: Simplify (+ 0 1) into 1 2.291 * [backup-simplify]: Simplify (log 1) into 0 2.291 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.291 * [taylor]: Taking taylor expansion of n in n 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [backup-simplify]: Simplify (log 1) into 0 2.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.292 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 2.293 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ 1 0) into 1 2.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 1 0) into 1 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.301 * [backup-simplify]: Simplify -1/2 into -1/2 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [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 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.314 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.314 * [backup-simplify]: Simplify 1/3 into 1/3 2.315 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 n) 3)) (+ (* -1/2 (pow (/ 1 n) 2)) (* 1 (/ 1 n)))) into (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) 2.315 * [backup-simplify]: Simplify (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) into (- (log1p (/ -1 n)) (log (/ -1 n))) 2.315 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in (n) around 0 2.315 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 2.315 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.315 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.315 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.315 * [taylor]: Taking taylor expansion of 1 in n 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.315 * [taylor]: Taking taylor expansion of -1 in n 2.315 * [backup-simplify]: Simplify -1 into -1 2.315 * [taylor]: Taking taylor expansion of n in n 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ -1 1) into -1 2.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.317 * [backup-simplify]: Simplify (log -1) into (log -1) 2.317 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.317 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.317 * [taylor]: Taking taylor expansion of -1 in n 2.317 * [backup-simplify]: Simplify -1 into -1 2.317 * [taylor]: Taking taylor expansion of n in n 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ -1 1) into -1 2.318 * [backup-simplify]: Simplify (log -1) into (log -1) 2.318 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 2.318 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.318 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.318 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.318 * [taylor]: Taking taylor expansion of 1 in n 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.318 * [taylor]: Taking taylor expansion of -1 in n 2.318 * [backup-simplify]: Simplify -1 into -1 2.318 * [taylor]: Taking taylor expansion of n in n 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ -1 1) into -1 2.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.320 * [backup-simplify]: Simplify (log -1) into (log -1) 2.320 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.320 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.320 * [taylor]: Taking taylor expansion of -1 in n 2.320 * [backup-simplify]: Simplify -1 into -1 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (/ -1 1) into -1 2.321 * [backup-simplify]: Simplify (log -1) into (log -1) 2.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.323 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 2.324 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 1 0) into 1 2.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.330 * [backup-simplify]: Simplify (+ -1 0) into -1 2.330 * [backup-simplify]: Simplify -1 into -1 2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.339 * [backup-simplify]: Simplify (- 0) into 0 2.339 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.339 * [backup-simplify]: Simplify -1/2 into -1/2 2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [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 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.355 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.355 * [backup-simplify]: Simplify -1/3 into -1/3 2.356 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- n)) 3)) (+ (* -1/2 (pow (/ 1 (- n)) 2)) (* -1 (/ 1 (- n))))) into (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) 2.356 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.356 * [backup-simplify]: Simplify (fma (- (log1p n) (log n)) n (+ (log1p n) -1)) into (fma (- (log1p n) (log n)) n (- (log1p n) 1)) 2.356 * [approximate]: Taking taylor expansion of (fma (- (log1p n) (log n)) n (- (log1p n) 1)) in (n) around 0 2.356 * [taylor]: Taking taylor expansion of (fma (- (log1p n) (log n)) n (- (log1p n) 1)) in n 2.356 * [taylor]: Rewrote expression to (+ (* (- (log1p n) (log n)) n) (- (log1p n) 1)) 2.356 * [taylor]: Taking taylor expansion of (* (- (log1p n) (log n)) n) in n 2.356 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 2.356 * [taylor]: Taking taylor expansion of (log1p n) in n 2.356 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.356 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.356 * [taylor]: Taking taylor expansion of 1 in n 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of n in n 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (+ 1 0) into 1 2.357 * [backup-simplify]: Simplify (log 1) into 0 2.357 * [taylor]: Taking taylor expansion of (log n) in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (log 1) into 0 2.358 * [taylor]: Taking taylor expansion of n in n 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [taylor]: Taking taylor expansion of (- (log1p n) 1) in n 2.358 * [taylor]: Taking taylor expansion of (log1p n) in n 2.358 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.358 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.358 * [taylor]: Taking taylor expansion of 1 in n 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [taylor]: Taking taylor expansion of n in n 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (+ 1 0) into 1 2.358 * [backup-simplify]: Simplify (log 1) into 0 2.358 * [taylor]: Taking taylor expansion of 1 in n 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [taylor]: Taking taylor expansion of (fma (- (log1p n) (log n)) n (- (log1p n) 1)) in n 2.358 * [taylor]: Rewrote expression to (+ (* (- (log1p n) (log n)) n) (- (log1p n) 1)) 2.358 * [taylor]: Taking taylor expansion of (* (- (log1p n) (log n)) n) in n 2.358 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 2.358 * [taylor]: Taking taylor expansion of (log1p n) in n 2.358 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.358 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.358 * [taylor]: Taking taylor expansion of 1 in n 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [taylor]: Taking taylor expansion of n in n 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (+ 1 0) into 1 2.359 * [backup-simplify]: Simplify (log 1) into 0 2.359 * [taylor]: Taking taylor expansion of (log n) in n 2.359 * [taylor]: Taking taylor expansion of n in n 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (log 1) into 0 2.359 * [taylor]: Taking taylor expansion of n in n 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of (- (log1p n) 1) in n 2.359 * [taylor]: Taking taylor expansion of (log1p n) in n 2.359 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.359 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.359 * [taylor]: Taking taylor expansion of 1 in n 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of n in n 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (+ 1 0) into 1 2.360 * [backup-simplify]: Simplify (log 1) into 0 2.360 * [taylor]: Taking taylor expansion of 1 in n 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.361 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.361 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 2.361 * [backup-simplify]: Simplify (* (- (log n)) 0) into 0 2.361 * [backup-simplify]: Simplify (- 1) into -1 2.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.361 * [backup-simplify]: Simplify -1 into -1 2.362 * [backup-simplify]: Simplify (+ 0 1) into 1 2.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (+ 1 0) into 1 2.364 * [backup-simplify]: Simplify (+ (* (- (log n)) 1) (* 1 0)) into (- (log n)) 2.364 * [backup-simplify]: Simplify (+ 0 1) into 1 2.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.365 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 1 0) into 1 2.365 * [backup-simplify]: Simplify (+ (- (log n)) 1) into (- 1 (log n)) 2.366 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 2.366 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.370 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 1 1) (* -1/2 0))) into 1 2.370 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.372 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 2.372 * [backup-simplify]: Simplify 1/2 into 1/2 2.373 * [backup-simplify]: Simplify (+ (* 1/2 (pow n 2)) (+ (* (- 1 (log n)) n) -1)) into (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1)) 2.373 * [backup-simplify]: Simplify (fma (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n) (+ (log1p (/ 1 n)) -1)) into (fma (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n) (- (log1p (/ 1 n)) 1)) 2.373 * [approximate]: Taking taylor expansion of (fma (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n) (- (log1p (/ 1 n)) 1)) in (n) around 0 2.373 * [taylor]: Taking taylor expansion of (fma (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n) (- (log1p (/ 1 n)) 1)) in n 2.373 * [taylor]: Rewrote expression to (+ (* (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n)) (- (log1p (/ 1 n)) 1)) 2.373 * [taylor]: Taking taylor expansion of (* (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n)) in n 2.373 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 2.373 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.373 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.373 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.373 * [taylor]: Taking taylor expansion of 1 in n 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.373 * [taylor]: Taking taylor expansion of n in n 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [backup-simplify]: Simplify (+ 0 1) into 1 2.374 * [backup-simplify]: Simplify (log 1) into 0 2.374 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.374 * [taylor]: Taking taylor expansion of n in n 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (/ 1 1) into 1 2.374 * [backup-simplify]: Simplify (log 1) into 0 2.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.374 * [taylor]: Taking taylor expansion of n in n 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (/ 1 1) into 1 2.375 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) 1) in n 2.375 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.375 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.375 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.375 * [taylor]: Taking taylor expansion of 1 in n 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (/ 1 1) into 1 2.375 * [backup-simplify]: Simplify (+ 0 1) into 1 2.376 * [backup-simplify]: Simplify (log 1) into 0 2.376 * [taylor]: Taking taylor expansion of 1 in n 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [taylor]: Taking taylor expansion of (fma (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n) (- (log1p (/ 1 n)) 1)) in n 2.376 * [taylor]: Rewrote expression to (+ (* (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n)) (- (log1p (/ 1 n)) 1)) 2.376 * [taylor]: Taking taylor expansion of (* (- (log1p (/ 1 n)) (log (/ 1 n))) (/ 1 n)) in n 2.376 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 2.376 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.376 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.376 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.376 * [taylor]: Taking taylor expansion of 1 in n 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.376 * [taylor]: Taking taylor expansion of n in n 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (/ 1 1) into 1 2.376 * [backup-simplify]: Simplify (+ 0 1) into 1 2.377 * [backup-simplify]: Simplify (log 1) into 0 2.377 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.377 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.377 * [taylor]: Taking taylor expansion of n in n 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (/ 1 1) into 1 2.377 * [backup-simplify]: Simplify (log 1) into 0 2.377 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.377 * [taylor]: Taking taylor expansion of n in n 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (/ 1 1) into 1 2.377 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) 1) in n 2.377 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.378 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.378 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.378 * [taylor]: Taking taylor expansion of 1 in n 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [backup-simplify]: Simplify (+ 0 1) into 1 2.378 * [backup-simplify]: Simplify (log 1) into 0 2.378 * [taylor]: Taking taylor expansion of 1 in n 2.378 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.379 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 2.379 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 2.379 * [backup-simplify]: Simplify (* 0 1) into 0 2.380 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ 1 0) into 1 2.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.383 * [backup-simplify]: Simplify (- 0) into 0 2.383 * [backup-simplify]: Simplify (+ 1 0) into 1 2.384 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1 2.384 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.384 * [backup-simplify]: Simplify (- 1) into -1 2.384 * [backup-simplify]: Simplify (+ (- (log n)) -1) into (- (+ (log n) 1)) 2.384 * [backup-simplify]: Simplify (+ 1 (- (+ (log n) 1))) into (- (log n)) 2.384 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.390 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* -1/2 1))) into -1/2 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ 1 0) into 1 2.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 1 0) into 1 2.395 * [backup-simplify]: Simplify (+ -1/2 1) into 1/2 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [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 2.409 * [backup-simplify]: Simplify (- 0) into 0 2.410 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* -1/2 0) (* 1/3 1)))) into 1/3 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ 0 0) into 0 2.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.417 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.417 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 2.417 * [backup-simplify]: Simplify -1/6 into -1/6 2.418 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 n) 2)) (+ (* 1/2 (/ 1 n)) (- (log (/ 1 n))))) into (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) 2.418 * [backup-simplify]: Simplify (fma (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) (/ 1 (- n)) (+ (log1p (/ 1 (- n))) -1)) into (fma (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n) (- (log1p (/ -1 n)) 1)) 2.418 * [approximate]: Taking taylor expansion of (fma (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n) (- (log1p (/ -1 n)) 1)) in (n) around 0 2.418 * [taylor]: Taking taylor expansion of (fma (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n) (- (log1p (/ -1 n)) 1)) in n 2.418 * [taylor]: Rewrote expression to (+ (* (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n)) (- (log1p (/ -1 n)) 1)) 2.418 * [taylor]: Taking taylor expansion of (* (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n)) in n 2.418 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 2.418 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.418 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.418 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.418 * [taylor]: Taking taylor expansion of 1 in n 2.418 * [backup-simplify]: Simplify 1 into 1 2.418 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.418 * [taylor]: Taking taylor expansion of -1 in n 2.418 * [backup-simplify]: Simplify -1 into -1 2.418 * [taylor]: Taking taylor expansion of n in n 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (/ -1 1) into -1 2.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.420 * [backup-simplify]: Simplify (log -1) into (log -1) 2.420 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.420 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.420 * [taylor]: Taking taylor expansion of -1 in n 2.420 * [backup-simplify]: Simplify -1 into -1 2.420 * [taylor]: Taking taylor expansion of n in n 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (/ -1 1) into -1 2.421 * [backup-simplify]: Simplify (log -1) into (log -1) 2.421 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.421 * [taylor]: Taking taylor expansion of -1 in n 2.421 * [backup-simplify]: Simplify -1 into -1 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (/ -1 1) into -1 2.421 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) 1) in n 2.421 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.422 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.422 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.422 * [taylor]: Taking taylor expansion of 1 in n 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.422 * [taylor]: Taking taylor expansion of -1 in n 2.422 * [backup-simplify]: Simplify -1 into -1 2.422 * [taylor]: Taking taylor expansion of n in n 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (/ -1 1) into -1 2.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.423 * [backup-simplify]: Simplify (log -1) into (log -1) 2.423 * [taylor]: Taking taylor expansion of 1 in n 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of (fma (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n) (- (log1p (/ -1 n)) 1)) in n 2.423 * [taylor]: Rewrote expression to (+ (* (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n)) (- (log1p (/ -1 n)) 1)) 2.423 * [taylor]: Taking taylor expansion of (* (- (log1p (/ -1 n)) (log (/ -1 n))) (/ -1 n)) in n 2.423 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 2.423 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.423 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.423 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.423 * [taylor]: Taking taylor expansion of 1 in n 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.423 * [taylor]: Taking taylor expansion of -1 in n 2.424 * [backup-simplify]: Simplify -1 into -1 2.424 * [taylor]: Taking taylor expansion of n in n 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ -1 1) into -1 2.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.425 * [backup-simplify]: Simplify (log -1) into (log -1) 2.425 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.425 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.425 * [taylor]: Taking taylor expansion of -1 in n 2.425 * [backup-simplify]: Simplify -1 into -1 2.425 * [taylor]: Taking taylor expansion of n in n 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ -1 1) into -1 2.426 * [backup-simplify]: Simplify (log -1) into (log -1) 2.426 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.426 * [taylor]: Taking taylor expansion of -1 in n 2.426 * [backup-simplify]: Simplify -1 into -1 2.426 * [taylor]: Taking taylor expansion of n in n 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ -1 1) into -1 2.427 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) 1) in n 2.427 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.427 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.427 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.427 * [taylor]: Taking taylor expansion of 1 in n 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.427 * [taylor]: Taking taylor expansion of -1 in n 2.427 * [backup-simplify]: Simplify -1 into -1 2.427 * [taylor]: Taking taylor expansion of n in n 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ -1 1) into -1 2.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.428 * [backup-simplify]: Simplify (log -1) into (log -1) 2.428 * [taylor]: Taking taylor expansion of 1 in n 2.428 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.430 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 2.431 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 2.432 * [backup-simplify]: Simplify (* 0 -1) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (+ 1 0) into 1 2.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ -1 0) into -1 2.445 * [backup-simplify]: Simplify (+ (* 0 0) (* -1 -1)) into 1 2.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.446 * [backup-simplify]: Simplify (- 1) into -1 2.447 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) -1) into (- (log -1) (+ 1 (log n))) 2.447 * [backup-simplify]: Simplify (+ 1 (- (log -1) (+ 1 (log n)))) into (- (log -1) (log n)) 2.448 * [backup-simplify]: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) 2.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.458 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (* -1/2 -1))) into 1/2 2.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (+ 1 0) into 1 2.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.462 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ -1 0) into -1 2.462 * [backup-simplify]: Simplify (+ 1/2 -1) into -1/2 2.462 * [backup-simplify]: Simplify -1/2 into -1/2 2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.467 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 2.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [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 2.470 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* -1/2 0) (* -1/3 -1)))) into 1/3 2.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.474 * [backup-simplify]: Simplify (- 0) into 0 2.474 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.475 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 2.475 * [backup-simplify]: Simplify -1/6 into -1/6 2.475 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- n)) 2)) (+ (* -1/2 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) 2.475 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1) 2.476 * [backup-simplify]: Simplify (log1p n) into (log1p n) 2.476 * [approximate]: Taking taylor expansion of (log1p n) in (n) around 0 2.476 * [taylor]: Taking taylor expansion of (log1p n) in n 2.476 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.476 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.476 * [taylor]: Taking taylor expansion of 1 in n 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [taylor]: Taking taylor expansion of n in n 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (+ 1 0) into 1 2.476 * [backup-simplify]: Simplify (log 1) into 0 2.476 * [taylor]: Taking taylor expansion of (log1p n) in n 2.476 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.476 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.476 * [taylor]: Taking taylor expansion of 1 in n 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [taylor]: Taking taylor expansion of n in n 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (+ 1 0) into 1 2.477 * [backup-simplify]: Simplify (log 1) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (+ 0 1) into 1 2.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.480 * [backup-simplify]: Simplify -1/2 into -1/2 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.483 * [backup-simplify]: Simplify 1/3 into 1/3 2.483 * [backup-simplify]: Simplify (+ (* 1/3 (pow n 3)) (+ (* -1/2 (pow n 2)) (* 1 n))) into (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))) 2.483 * [backup-simplify]: Simplify (log1p (/ 1 n)) into (log1p (/ 1 n)) 2.483 * [approximate]: Taking taylor expansion of (log1p (/ 1 n)) in (n) around 0 2.483 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.483 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.483 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.483 * [taylor]: Taking taylor expansion of 1 in n 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.483 * [taylor]: Taking taylor expansion of n in n 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [backup-simplify]: Simplify (+ 0 1) into 1 2.484 * [backup-simplify]: Simplify (log 1) into 0 2.484 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.484 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.484 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.484 * [taylor]: Taking taylor expansion of 1 in n 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.484 * [taylor]: Taking taylor expansion of n in n 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (/ 1 1) into 1 2.485 * [backup-simplify]: Simplify (+ 0 1) into 1 2.485 * [backup-simplify]: Simplify (log 1) into 0 2.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.485 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (+ 1 0) into 1 2.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.489 * [backup-simplify]: Simplify -1/2 into -1/2 2.489 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 n) 2)) (+ (* 1 (/ 1 n)) (- (log (/ 1 n))))) into (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))) 2.489 * [backup-simplify]: Simplify (log1p (/ 1 (- n))) into (log1p (/ -1 n)) 2.489 * [approximate]: Taking taylor expansion of (log1p (/ -1 n)) in (n) around 0 2.489 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.489 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.489 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.490 * [taylor]: Taking taylor expansion of 1 in n 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.490 * [taylor]: Taking taylor expansion of -1 in n 2.490 * [backup-simplify]: Simplify -1 into -1 2.490 * [taylor]: Taking taylor expansion of n in n 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (/ -1 1) into -1 2.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.490 * [backup-simplify]: Simplify (log -1) into (log -1) 2.490 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.490 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.491 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.491 * [taylor]: Taking taylor expansion of 1 in n 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.491 * [taylor]: Taking taylor expansion of -1 in n 2.491 * [backup-simplify]: Simplify -1 into -1 2.491 * [taylor]: Taking taylor expansion of n in n 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (/ -1 1) into -1 2.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.491 * [backup-simplify]: Simplify (log -1) into (log -1) 2.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.492 * [backup-simplify]: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) 2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ 1 0) into 1 2.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.494 * [backup-simplify]: Simplify -1 into -1 2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.499 * [backup-simplify]: Simplify -1/2 into -1/2 2.499 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- n)) 2)) (+ (* -1 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) 2.500 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.500 * [backup-simplify]: Simplify (log1p n) into (log1p n) 2.500 * [approximate]: Taking taylor expansion of (log1p n) in (n) around 0 2.500 * [taylor]: Taking taylor expansion of (log1p n) in n 2.500 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.500 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.500 * [taylor]: Taking taylor expansion of 1 in n 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [taylor]: Taking taylor expansion of n in n 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (+ 1 0) into 1 2.501 * [backup-simplify]: Simplify (log 1) into 0 2.501 * [taylor]: Taking taylor expansion of (log1p n) in n 2.501 * [taylor]: Rewrote expression to (log (+ 1 n)) 2.501 * [taylor]: Taking taylor expansion of (+ 1 n) in n 2.501 * [taylor]: Taking taylor expansion of 1 in n 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [taylor]: Taking taylor expansion of n in n 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (+ 1 0) into 1 2.502 * [backup-simplify]: Simplify (log 1) into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (+ 0 1) into 1 2.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.507 * [backup-simplify]: Simplify -1/2 into -1/2 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.512 * [backup-simplify]: Simplify 1/3 into 1/3 2.513 * [backup-simplify]: Simplify (+ (* 1/3 (pow n 3)) (+ (* -1/2 (pow n 2)) (* 1 n))) into (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))) 2.513 * [backup-simplify]: Simplify (log1p (/ 1 n)) into (log1p (/ 1 n)) 2.513 * [approximate]: Taking taylor expansion of (log1p (/ 1 n)) in (n) around 0 2.513 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.513 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.513 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.513 * [taylor]: Taking taylor expansion of 1 in n 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.513 * [taylor]: Taking taylor expansion of n in n 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [backup-simplify]: Simplify (+ 0 1) into 1 2.514 * [backup-simplify]: Simplify (log 1) into 0 2.514 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 2.515 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 2.515 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 2.515 * [taylor]: Taking taylor expansion of 1 in n 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.515 * [taylor]: Taking taylor expansion of n in n 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (/ 1 1) into 1 2.516 * [backup-simplify]: Simplify (+ 0 1) into 1 2.516 * [backup-simplify]: Simplify (log 1) into 0 2.516 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.517 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify (+ 1 0) into 1 2.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.519 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.523 * [backup-simplify]: Simplify -1/2 into -1/2 2.523 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 n) 2)) (+ (* 1 (/ 1 n)) (- (log (/ 1 n))))) into (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))) 2.524 * [backup-simplify]: Simplify (log1p (/ 1 (- n))) into (log1p (/ -1 n)) 2.524 * [approximate]: Taking taylor expansion of (log1p (/ -1 n)) in (n) around 0 2.524 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.524 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.524 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.524 * [taylor]: Taking taylor expansion of 1 in n 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.524 * [taylor]: Taking taylor expansion of -1 in n 2.524 * [backup-simplify]: Simplify -1 into -1 2.524 * [taylor]: Taking taylor expansion of n in n 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (/ -1 1) into -1 2.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.526 * [backup-simplify]: Simplify (log -1) into (log -1) 2.526 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 2.526 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 2.526 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 2.526 * [taylor]: Taking taylor expansion of 1 in n 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.526 * [taylor]: Taking taylor expansion of -1 in n 2.526 * [backup-simplify]: Simplify -1 into -1 2.526 * [taylor]: Taking taylor expansion of n in n 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [backup-simplify]: Simplify (/ -1 1) into -1 2.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.527 * [backup-simplify]: Simplify (log -1) into (log -1) 2.528 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.528 * [backup-simplify]: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (+ 1 0) into 1 2.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.531 * [backup-simplify]: Simplify -1 into -1 2.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.536 * [backup-simplify]: Simplify -1/2 into -1/2 2.537 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- n)) 2)) (+ (* -1 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) 2.537 * * * [progress]: simplifying candidates 2.537 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 2.537 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 16 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 2.538 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 2.539 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 2.539 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 2.539 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 2.539 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 2.539 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 2.539 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 37 / 84 ] simplifiying candidate #real (real->posit16 (- (log1p n) (log n)))) n (+ (log1p n) -1)))> 2.540 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 2.540 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 48 / 84 ] simplifiying candidate #real (real->posit16 (fma (- (log1p n) (log n)) n (+ (log1p n) -1)))))> 2.541 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 2.541 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 60 / 84 ] simplifiying candidate #real (real->posit16 (log1p n))) -1)))> 2.542 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 71 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 72 / 84 ] simplifiying candidate #real (real->posit16 (log1p n))) (log n)) n (+ (log1p n) -1)))> 2.542 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 2.542 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 2.543 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 2.544 * [simplify]: Simplifying (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (log n) 1))), (fma (- (log n)) 1 (* (log n) 1)), (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (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 (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (sqrt (log n)) (sqrt (log n))))), (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))), (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (log n) 1))), (fma (- (log n)) 1 (* (log n) 1)), (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (log n) 1))), (fma (- (log n)) 1 (* (log n) 1)), (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (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 (log1p n)) (sqrt (log1p n)) (- (* (sqrt (log n)) (sqrt (log n))))), (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))), (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (log n) 1))), (fma (- (log n)) 1 (* (log n) 1)), (fma 1 (log1p n) (- (* (log n) 1))), (fma (- (log n)) 1 (* (log n) 1)), (fma 1 (log1p n) (- (* (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 (log1p n) (- (* (sqrt (log n)) (sqrt (log n))))), (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))), (fma 1 (log1p n) (- (* (log n) 1))), (fma (- (log n)) 1 (* (log n) 1)), (expm1 (- (log1p n) (log n))), (log1p (- (log1p n) (log n))), (- (log n)), (- (log n)), (- (log n)), (/ (+ 1 n) n), (/ (exp (log1p n)) n), (log (- (log1p n) (log n))), (exp (- (log1p n) (log n))), (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))), (cbrt (- (log1p n) (log n))), (* (* (- (log1p n) (log n)) (- (log1p n) (log n))) (- (log1p n) (log n))), (sqrt (- (log1p n) (log n))), (sqrt (- (log1p n) (log n))), (- (pow (log1p n) 3) (pow (log n) 3)), (+ (* (log1p n) (log1p n)) (+ (* (log n) (log n)) (* (log1p n) (log n)))), (- (log n)), (- (* (log1p n) (log1p n)) (* (log n) (log n))), (+ (log1p n) (log n)), (+ (sqrt (log1p n)) (sqrt (log n))), (- (sqrt (log1p n)) (sqrt (log n))), (- (log1p n) (log n)), (- (log1p n) (log n)), (- (log1p n) (log (* (cbrt n) (cbrt n)))), (- (log1p n) (log (sqrt n))), (- (log1p n) (log 1)), (- (log n)), (real->posit16 (- (log1p n) (log n))), (expm1 (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (log1p (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (* (- (log1p n) (log n)) n), (log (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (exp (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (* (cbrt (fma (- (log1p n) (log n)) n (+ (log1p n) -1))) (cbrt (fma (- (log1p n) (log n)) n (+ (log1p n) -1)))), (cbrt (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (* (* (fma (- (log1p n) (log n)) n (+ (log1p n) -1)) (fma (- (log1p n) (log n)) n (+ (log1p n) -1))) (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (sqrt (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (sqrt (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (real->posit16 (fma (- (log1p n) (log n)) n (+ (log1p n) -1))), (+ 1 n), (expm1 (log1p n)), (log1p (log1p n)), (log (log1p n)), (exp (log1p n)), (* (cbrt (log1p n)) (cbrt (log1p n))), (cbrt (log1p n)), (* (* (log1p n) (log1p n)) (log1p n)), (sqrt (log1p n)), (sqrt (log1p n)), (real->posit16 (log1p n)), (+ 1 n), (expm1 (log1p n)), (log1p (log1p n)), (log (log1p n)), (exp (log1p n)), (* (cbrt (log1p n)) (cbrt (log1p n))), (cbrt (log1p n)), (* (* (log1p n) (log1p n)) (log1p n)), (sqrt (log1p n)), (sqrt (log1p n)), (real->posit16 (log1p n)), (- n (+ (log n) (* 1/2 (pow n 2)))), (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))), (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))), (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1)), (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))), (- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))), (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))), (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))), (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))), (- (+ n (* 1/3 (pow n 3))) (* 1/2 (pow n 2))), (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ 1 n)))), (- (+ (log -1) (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n)))) 2.546 * * [simplify]: iteration 1: (126 enodes) 2.607 * * [simplify]: iteration 2: (506 enodes) 2.794 * * [simplify]: iteration 3: (934 enodes) 3.182 * * [simplify]: Extracting #0: cost 51 inf + 0 3.183 * * [simplify]: Extracting #1: cost 307 inf + 1 3.186 * * [simplify]: Extracting #2: cost 532 inf + 6392 3.195 * * [simplify]: Extracting #3: cost 336 inf + 50981 3.214 * * [simplify]: Extracting #4: cost 43 inf + 129847 3.250 * * [simplify]: Extracting #5: cost 2 inf + 141511 3.294 * * [simplify]: Extracting #6: cost 0 inf + 142181 3.328 * [simplify]: Simplified to (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)), (* (log n) 0), (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)), (* (log n) 0), (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)), (* (log n) 0), (- (* (cbrt (log1p n)) (* (cbrt (log1p n)) (cbrt (log1p n)))) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (- (log1p n) (log n)), (* (log n) 0), (expm1 (- (log1p n) (log n))), (log1p (- (log1p n) (log n))), (- (log n)), (- (log n)), (- (log n)), (/ (+ 1 n) n), (/ (exp (log1p n)) n), (log (- (log1p n) (log n))), (/ (exp (log1p n)) n), (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))), (cbrt (- (log1p n) (log n))), (* (* (- (log1p n) (log n)) (- (log1p n) (log n))) (- (log1p n) (log n))), (sqrt (- (log1p n) (log n))), (sqrt (- (log1p n) (log n))), (- (* (* (log1p n) (log1p n)) (log1p n)) (* (* (log n) (log n)) (log n))), (fma (log n) (+ (log n) (log1p n)) (* (log1p n) (log1p n))), (- (log n)), (- (* (log1p n) (log1p n)) (* (log n) (log n))), (+ (log n) (log1p n)), (+ (sqrt (log n)) (sqrt (log1p n))), (- (sqrt (log1p n)) (sqrt (log n))), (- (log1p n) (log n)), (- (log1p n) (log n)), (- (- (log1p n) (log (cbrt n))) (log (cbrt n))), (- (log1p n) (log (sqrt n))), (log1p n), (- (log n)), (real->posit16 (- (log1p n) (log n))), (expm1 (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (log1p (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (* (- (log1p n) (log n)) n), (log (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (exp (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (* (cbrt (+ (log1p n) (fma n (- (log1p n) (log n)) -1))) (cbrt (+ (log1p n) (fma n (- (log1p n) (log n)) -1)))), (cbrt (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (* (+ (log1p n) (fma n (- (log1p n) (log n)) -1)) (* (+ (log1p n) (fma n (- (log1p n) (log n)) -1)) (+ (log1p n) (fma n (- (log1p n) (log n)) -1)))), (sqrt (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (sqrt (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (real->posit16 (+ (log1p n) (fma n (- (log1p n) (log n)) -1))), (+ 1 n), n, (log1p (log1p n)), (log (log1p n)), (exp (log1p n)), (* (cbrt (log1p n)) (cbrt (log1p n))), (cbrt (log1p n)), (* (* (log1p n) (log1p n)) (log1p n)), (sqrt (log1p n)), (sqrt (log1p n)), (real->posit16 (log1p n)), (+ 1 n), n, (log1p (log1p n)), (log (log1p n)), (exp (log1p n)), (* (cbrt (log1p n)) (cbrt (log1p n))), (cbrt (log1p n)), (* (* (log1p n) (log1p n)) (log1p n)), (sqrt (log1p n)), (sqrt (log1p n)), (real->posit16 (log1p n)), (- n (fma 1/2 (* n n) (log n))), (- (fma (/ (/ 1 n) (* n n)) 1/3 (/ 1 n)) (/ 1/2 (* n n))), (- (fma (/ (/ 1 n) (* n n)) 1/3 (/ 1 n)) (/ 1/2 (* n n))), (- (fma 1/2 (* n n) n) (fma (log n) n 1)), (+ (+ (/ 1/2 n) (/ -1/6 (* n n))) (log n)), (- (- (/ 1/2 n) (log (/ -1 n))) (- (/ (/ 1/6 n) n) (log -1))), (fma (* n n) -1/2 (fma 1/3 (* (* n n) n) n)), (+ (/ 1 n) (+ (log n) (/ -1/2 (* n n)))), (+ (+ (/ 1 n) (- (log -1) (- (log -1) (log n)))) (/ -1/2 (* n n))), (fma (* n n) -1/2 (fma 1/3 (* (* n n) n) n)), (+ (/ 1 n) (+ (log n) (/ -1/2 (* n n)))), (+ (+ (/ 1 n) (- (log -1) (- (log -1) (log n)))) (/ -1/2 (* n n))) 3.333 * * * [progress]: adding candidates to table 3.975 * * [progress]: iteration 2 / 4 3.975 * * * [progress]: picking best candidate 3.979 * * * * [pick]: Picked # 3.979 * * * [progress]: localizing error 3.994 * * * [progress]: generating rewritten candidates 3.994 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 4.001 * * * [progress]: generating series expansions 4.001 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 4.001 * [backup-simplify]: Simplify (/ -1/6 (* n n)) into (/ -1/6 (pow n 2)) 4.001 * [approximate]: Taking taylor expansion of (/ -1/6 (pow n 2)) in (n) around 0 4.001 * [taylor]: Taking taylor expansion of (/ -1/6 (pow n 2)) in n 4.001 * [taylor]: Taking taylor expansion of -1/6 in n 4.001 * [backup-simplify]: Simplify -1/6 into -1/6 4.001 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.001 * [taylor]: Taking taylor expansion of n in n 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 4.002 * [taylor]: Taking taylor expansion of (/ -1/6 (pow n 2)) in n 4.002 * [taylor]: Taking taylor expansion of -1/6 in n 4.002 * [backup-simplify]: Simplify -1/6 into -1/6 4.002 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.002 * [taylor]: Taking taylor expansion of n in n 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 4.003 * [backup-simplify]: Simplify -1/6 into -1/6 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 n) 2)) into (/ -1/6 (pow n 2)) 4.012 * [backup-simplify]: Simplify (/ -1/6 (* (/ 1 n) (/ 1 n))) into (* -1/6 (pow n 2)) 4.012 * [approximate]: Taking taylor expansion of (* -1/6 (pow n 2)) in (n) around 0 4.012 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 4.012 * [taylor]: Taking taylor expansion of -1/6 in n 4.012 * [backup-simplify]: Simplify -1/6 into -1/6 4.012 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.012 * [taylor]: Taking taylor expansion of n in n 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 4.012 * [taylor]: Taking taylor expansion of -1/6 in n 4.012 * [backup-simplify]: Simplify -1/6 into -1/6 4.012 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.012 * [taylor]: Taking taylor expansion of n in n 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (* -1/6 1) into -1/6 4.012 * [backup-simplify]: Simplify -1/6 into -1/6 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (+ (* -1/6 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.014 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 1))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.017 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.019 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.021 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 n) 2)) into (/ -1/6 (pow n 2)) 4.021 * [backup-simplify]: Simplify (/ -1/6 (* (/ 1 (- n)) (/ 1 (- n)))) into (* -1/6 (pow n 2)) 4.021 * [approximate]: Taking taylor expansion of (* -1/6 (pow n 2)) in (n) around 0 4.021 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 4.021 * [taylor]: Taking taylor expansion of -1/6 in n 4.021 * [backup-simplify]: Simplify -1/6 into -1/6 4.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.021 * [taylor]: Taking taylor expansion of n in n 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 4.021 * [taylor]: Taking taylor expansion of -1/6 in n 4.021 * [backup-simplify]: Simplify -1/6 into -1/6 4.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.021 * [taylor]: Taking taylor expansion of n in n 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.022 * [backup-simplify]: Simplify (* -1/6 1) into -1/6 4.022 * [backup-simplify]: Simplify -1/6 into -1/6 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.023 * [backup-simplify]: Simplify (+ (* -1/6 0) (* 0 1)) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.024 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 1))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.027 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.029 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.030 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 (- n)) 2)) into (/ -1/6 (pow n 2)) 4.031 * * * [progress]: simplifying candidates 4.031 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #real (real->posit16 (/ -1/6 (* n n))))) (log n)))> 4.031 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 4.031 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 4.032 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 4.032 * [simplify]: Simplifying (expm1 (/ -1/6 (* n n))), (log1p (/ -1/6 (* n n))), (- (log -1/6) (+ (log n) (log n))), (- (log -1/6) (log (* n n))), (log (/ -1/6 (* n n))), (exp (/ -1/6 (* n n))), (/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) n) (* (* n n) n))), (/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) (* n n)) (* n n))), (* (cbrt (/ -1/6 (* n n))) (cbrt (/ -1/6 (* n n)))), (cbrt (/ -1/6 (* n n))), (* (* (/ -1/6 (* n n)) (/ -1/6 (* n n))) (/ -1/6 (* n n))), (sqrt (/ -1/6 (* n n))), (sqrt (/ -1/6 (* n n))), (- -1/6), (- (* n n)), (/ (* (cbrt -1/6) (cbrt -1/6)) n), (/ (cbrt -1/6) n), (/ (sqrt -1/6) n), (/ (sqrt -1/6) n), (/ 1 n), (/ -1/6 n), (/ 1 (* n n)), (/ (* n n) -1/6), (/ -1/6 n), (/ (* n n) (cbrt -1/6)), (/ (* n n) (sqrt -1/6)), (/ (* n n) -1/6), (real->posit16 (/ -1/6 (* n n))), (/ -1/6 (pow n 2)), (/ -1/6 (pow n 2)), (/ -1/6 (pow n 2)) 4.032 * * [simplify]: iteration 1: (46 enodes) 4.047 * * [simplify]: iteration 2: (180 enodes) 4.086 * * [simplify]: iteration 3: (341 enodes) 4.201 * * [simplify]: iteration 4: (704 enodes) 4.601 * * [simplify]: iteration 5: (1400 enodes) 6.028 * * [simplify]: Extracting #0: cost 21 inf + 0 6.028 * * [simplify]: Extracting #1: cost 183 inf + 1 6.030 * * [simplify]: Extracting #2: cost 333 inf + 4225 6.037 * * [simplify]: Extracting #3: cost 197 inf + 26609 6.049 * * [simplify]: Extracting #4: cost 36 inf + 72510 6.064 * * [simplify]: Extracting #5: cost 0 inf + 85558 6.092 * [simplify]: Simplified to (expm1 (/ (/ -1/6 n) n)), (log1p (/ (/ -1/6 n) n)), (log (/ (/ -1/6 n) n)), (log (/ (/ -1/6 n) n)), (log (/ (/ -1/6 n) n)), (exp (/ (/ -1/6 n) n)), (/ -1/216 (* (* (* n n) n) (* (* n n) n))), (/ -1/216 (* (* (* n n) n) (* (* n n) n))), (* (cbrt (/ (/ -1/6 n) n)) (cbrt (/ (/ -1/6 n) n))), (cbrt (/ (/ -1/6 n) n)), (/ -1/216 (* (* (* n n) n) (* (* n n) n))), (sqrt (/ (/ -1/6 n) n)), (sqrt (/ (/ -1/6 n) n)), 1/6, (* (- n) n), (/ (cbrt -1/6) (/ n (cbrt -1/6))), (/ (cbrt -1/6) n), (/ (sqrt -1/6) n), (/ (sqrt -1/6) n), (/ 1 n), (/ -1/6 n), (/ 1 (* n n)), (* n (/ n -1/6)), (/ -1/6 n), (/ n (/ (cbrt -1/6) n)), (* n (/ n (sqrt -1/6))), (* n (/ n -1/6)), (real->posit16 (/ (/ -1/6 n) n)), (/ (/ -1/6 n) n), (/ (/ -1/6 n) n), (/ (/ -1/6 n) n) 6.094 * * * [progress]: adding candidates to table 6.241 * [progress]: [Phase 3 of 3] Extracting. 6.243 * [simplify]: Simplifying (+ (+ (/ 1/2 n) (/ -1/6 (* n n))) (log n)) 6.243 * * [simplify]: iteration 1: (9 enodes) 6.244 * * [simplify]: iteration 2: (11 enodes) 6.244 * * [simplify]: Extracting #0: cost 1 inf + 0 6.244 * * [simplify]: Extracting #1: cost 3 inf + 0 6.244 * * [simplify]: Extracting #2: cost 6 inf + 0 6.244 * * [simplify]: Extracting #3: cost 7 inf + 72 6.244 * * [simplify]: Extracting #4: cost 3 inf + 197 6.244 * * [simplify]: Extracting #5: cost 0 inf + 675 6.244 * [simplify]: Simplified to (+ (log n) (+ (/ -1/6 (* n n)) (/ 1/2 n))) 12.817 * [regime-testing]: Baseline error score: 0 12.822 * [regime-testing]: Oracle error score: 0 12.822 * [regime-testing]: End program error score: 0 12.890 * [regime-testing]: Target error score: 0