0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.138 * * * [progress]: [2/2] Setting up program. 0.141 * [progress]: [Phase 2 of 3] Improving. 0.141 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.141 * [simplify]: Simplifying: (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) 0.141 * * [simplify]: iteration 1: (9 enodes) 0.144 * * [simplify]: iteration 2: (40 enodes) 0.151 * * [simplify]: iteration 3: (78 enodes) 0.165 * * [simplify]: iteration 4: (121 enodes) 0.184 * * [simplify]: iteration 5: (188 enodes) 0.290 * * [simplify]: iteration 6: (358 enodes) 0.408 * * [simplify]: iteration 7: (491 enodes) 0.618 * * [simplify]: iteration 8: (727 enodes) 1.075 * * [simplify]: iteration 9: (1156 enodes) 2.067 * * [simplify]: iteration 10: (1931 enodes) 4.324 * * [simplify]: Extracting #0: cost 1 inf + 0 4.324 * * [simplify]: Extracting #1: cost 51 inf + 0 4.327 * * [simplify]: Extracting #2: cost 191 inf + 117 4.333 * * [simplify]: Extracting #3: cost 104 inf + 13794 4.348 * * [simplify]: Extracting #4: cost 7 inf + 37226 4.360 * * [simplify]: Extracting #5: cost 0 inf + 38841 4.385 * [simplify]: Simplified to: (- (fma n (- (log1p n) (log n)) (log1p n)) 1) 4.399 * * [progress]: iteration 1 / 4 4.399 * * * [progress]: picking best candidate 4.404 * * * * [pick]: Picked # 4.404 * * * [progress]: localizing error 4.436 * * * [progress]: generating rewritten candidates 4.436 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 4.444 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.445 * * * [progress]: generating series expansions 4.445 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 4.445 * [backup-simplify]: Simplify (- (log1p n) (log n)) into (- (log1p n) (log n)) 4.445 * [approximate]: Taking taylor expansion of (- (log1p n) (log n)) in (n) around 0 4.445 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.445 * [taylor]: Taking taylor expansion of (log1p n) in n 4.446 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.446 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.446 * [taylor]: Taking taylor expansion of 1 in n 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [taylor]: Taking taylor expansion of n in n 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (+ 1 0) into 1 4.447 * [backup-simplify]: Simplify (log 1) into 0 4.447 * [taylor]: Taking taylor expansion of (log n) in n 4.447 * [taylor]: Taking taylor expansion of n in n 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (log 1) into 0 4.447 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.447 * [taylor]: Taking taylor expansion of (log1p n) in n 4.447 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.447 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.447 * [taylor]: Taking taylor expansion of 1 in n 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [taylor]: Taking taylor expansion of n in n 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (+ 1 0) into 1 4.448 * [backup-simplify]: Simplify (log 1) into 0 4.448 * [taylor]: Taking taylor expansion of (log n) in n 4.448 * [taylor]: Taking taylor expansion of n in n 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (log 1) into 0 4.449 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.449 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.449 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 4.449 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.449 * [backup-simplify]: Simplify (+ 0 1) into 1 4.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.451 * [backup-simplify]: Simplify (- 0) into 0 4.451 * [backup-simplify]: Simplify (+ 1 0) into 1 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (+ 0 0) into 0 4.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.455 * [backup-simplify]: Simplify (- 0) into 0 4.455 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.455 * [backup-simplify]: Simplify -1/2 into -1/2 4.455 * [backup-simplify]: Simplify (+ (* -1/2 (pow n 2)) (+ (* 1 n) (- (log n)))) into (- n (+ (log n) (* 1/2 (pow n 2)))) 4.455 * [backup-simplify]: Simplify (- (log1p (/ 1 n)) (log (/ 1 n))) into (- (log1p (/ 1 n)) (log (/ 1 n))) 4.455 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in (n) around 0 4.455 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.455 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.455 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.455 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.455 * [taylor]: Taking taylor expansion of 1 in n 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [backup-simplify]: Simplify (+ 0 1) into 1 4.456 * [backup-simplify]: Simplify (log 1) into 0 4.456 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ 1 1) into 1 4.457 * [backup-simplify]: Simplify (log 1) into 0 4.457 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.457 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.457 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.457 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.457 * [taylor]: Taking taylor expansion of 1 in n 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.457 * [taylor]: Taking taylor expansion of n in n 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ 1 1) into 1 4.458 * [backup-simplify]: Simplify (+ 0 1) into 1 4.458 * [backup-simplify]: Simplify (log 1) into 0 4.458 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.458 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.458 * [taylor]: Taking taylor expansion of n in n 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [backup-simplify]: Simplify (/ 1 1) into 1 4.458 * [backup-simplify]: Simplify (log 1) into 0 4.459 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.459 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.459 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 4.459 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (+ 1 0) into 1 4.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.462 * [backup-simplify]: Simplify (- 0) into 0 4.463 * [backup-simplify]: Simplify (+ 1 0) into 1 4.463 * [backup-simplify]: Simplify 1 into 1 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.467 * [backup-simplify]: Simplify (- 0) into 0 4.468 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.468 * [backup-simplify]: Simplify -1/2 into -1/2 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.471 * [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 4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.474 * [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 4.475 * [backup-simplify]: Simplify (- 0) into 0 4.475 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.475 * [backup-simplify]: Simplify 1/3 into 1/3 4.475 * [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)))) 4.475 * [backup-simplify]: Simplify (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) into (- (log1p (/ -1 n)) (log (/ -1 n))) 4.475 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in (n) around 0 4.475 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.475 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.475 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.475 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.475 * [taylor]: Taking taylor expansion of 1 in n 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.475 * [taylor]: Taking taylor expansion of -1 in n 4.475 * [backup-simplify]: Simplify -1 into -1 4.475 * [taylor]: Taking taylor expansion of n in n 4.475 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (/ -1 1) into -1 4.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.476 * [backup-simplify]: Simplify (log -1) into (log -1) 4.476 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.476 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.477 * [taylor]: Taking taylor expansion of -1 in n 4.477 * [backup-simplify]: Simplify -1 into -1 4.477 * [taylor]: Taking taylor expansion of n in n 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [backup-simplify]: Simplify (/ -1 1) into -1 4.477 * [backup-simplify]: Simplify (log -1) into (log -1) 4.477 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.477 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.477 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.477 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.477 * [taylor]: Taking taylor expansion of 1 in n 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.477 * [taylor]: Taking taylor expansion of -1 in n 4.477 * [backup-simplify]: Simplify -1 into -1 4.477 * [taylor]: Taking taylor expansion of n in n 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (/ -1 1) into -1 4.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.478 * [backup-simplify]: Simplify (log -1) into (log -1) 4.478 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.478 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.478 * [taylor]: Taking taylor expansion of -1 in n 4.478 * [backup-simplify]: Simplify -1 into -1 4.478 * [taylor]: Taking taylor expansion of n in n 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (/ -1 1) into -1 4.479 * [backup-simplify]: Simplify (log -1) into (log -1) 4.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.480 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 4.481 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.482 * [backup-simplify]: Simplify (+ 1 0) into 1 4.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.484 * [backup-simplify]: Simplify (- 0) into 0 4.484 * [backup-simplify]: Simplify (+ -1 0) into -1 4.484 * [backup-simplify]: Simplify -1 into -1 4.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ 0 0) into 0 4.486 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.489 * [backup-simplify]: Simplify (- 0) into 0 4.489 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.489 * [backup-simplify]: Simplify -1/2 into -1/2 4.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (+ 0 0) into 0 4.497 * [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 4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [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 4.501 * [backup-simplify]: Simplify (- 0) into 0 4.501 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.501 * [backup-simplify]: Simplify -1/3 into -1/3 4.501 * [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)))) 4.501 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.502 * [backup-simplify]: Simplify (fma n (- (log1p n) (log n)) (log1p n)) into (fma n (- (log1p n) (log n)) (log1p n)) 4.502 * [approximate]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in (n) around 0 4.502 * [taylor]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in n 4.502 * [taylor]: Rewrote expression to (+ (* n (- (log1p n) (log n))) (log1p n)) 4.502 * [taylor]: Taking taylor expansion of (* n (- (log1p n) (log n))) in n 4.502 * [taylor]: Taking taylor expansion of n in n 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.502 * [taylor]: Taking taylor expansion of (log1p n) in n 4.502 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.502 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.502 * [taylor]: Taking taylor expansion of 1 in n 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [taylor]: Taking taylor expansion of n in n 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [backup-simplify]: Simplify (+ 1 0) into 1 4.502 * [backup-simplify]: Simplify (log 1) into 0 4.502 * [taylor]: Taking taylor expansion of (log n) in n 4.502 * [taylor]: Taking taylor expansion of n in n 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (log 1) into 0 4.503 * [taylor]: Taking taylor expansion of (log1p n) in n 4.503 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.503 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.503 * [taylor]: Taking taylor expansion of 1 in n 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [taylor]: Taking taylor expansion of n in n 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (+ 1 0) into 1 4.503 * [backup-simplify]: Simplify (log 1) into 0 4.503 * [taylor]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in n 4.503 * [taylor]: Rewrote expression to (+ (* n (- (log1p n) (log n))) (log1p n)) 4.503 * [taylor]: Taking taylor expansion of (* n (- (log1p n) (log n))) in n 4.503 * [taylor]: Taking taylor expansion of n in n 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.504 * [taylor]: Taking taylor expansion of (log1p n) in n 4.504 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.504 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.504 * [taylor]: Taking taylor expansion of 1 in n 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [taylor]: Taking taylor expansion of n in n 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (+ 1 0) into 1 4.504 * [backup-simplify]: Simplify (log 1) into 0 4.504 * [taylor]: Taking taylor expansion of (log n) in n 4.504 * [taylor]: Taking taylor expansion of n in n 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.505 * [backup-simplify]: Simplify (log 1) into 0 4.505 * [taylor]: Taking taylor expansion of (log1p n) in n 4.505 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.505 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.505 * [taylor]: Taking taylor expansion of 1 in n 4.505 * [backup-simplify]: Simplify 1 into 1 4.505 * [taylor]: Taking taylor expansion of n in n 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify 1 into 1 4.505 * [backup-simplify]: Simplify (+ 1 0) into 1 4.505 * [backup-simplify]: Simplify (log 1) into 0 4.506 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.506 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.506 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 4.506 * [backup-simplify]: Simplify (* 0 (- (log n))) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (+ 0 1) into 1 4.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.508 * [backup-simplify]: Simplify (- 0) into 0 4.508 * [backup-simplify]: Simplify (+ 1 0) into 1 4.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- (log n)))) into (- (log n)) 4.509 * [backup-simplify]: Simplify (+ 0 1) into 1 4.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.510 * [backup-simplify]: Simplify (+ (- (log n)) 1) into (- 1 (log n)) 4.510 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 4.510 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.514 * [backup-simplify]: Simplify (- 0) into 0 4.514 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.515 * [backup-simplify]: Simplify (+ (* 0 -1/2) (+ (* 1 1) (* 0 (- (log n))))) into 1 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.517 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 4.517 * [backup-simplify]: Simplify 1/2 into 1/2 4.517 * [backup-simplify]: Simplify (+ 0 0) into 0 4.520 * [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 4.524 * [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 4.525 * [backup-simplify]: Simplify (- 0) into 0 4.525 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.526 * [backup-simplify]: Simplify (+ (* 0 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log n)))))) into (- 1/2) 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.532 * [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 4.532 * [backup-simplify]: Simplify (+ (- 1/2) 1/3) into -1/6 4.533 * [backup-simplify]: Simplify -1/6 into -1/6 4.533 * [backup-simplify]: Simplify (+ (* -1/6 (pow n 3)) (+ (* 1/2 (pow n 2)) (* (- 1 (log n)) n))) into (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) (* 1/6 (pow n 3)))) 4.534 * [backup-simplify]: Simplify (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) into (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) 4.534 * [approximate]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in (n) around 0 4.534 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in n 4.534 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (log1p (/ 1 n))) 4.534 * [taylor]: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) in n 4.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.534 * [taylor]: Taking taylor expansion of n in n 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.534 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.534 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.534 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.534 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.535 * [taylor]: Taking taylor expansion of 1 in n 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.535 * [taylor]: Taking taylor expansion of n in n 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [backup-simplify]: Simplify (/ 1 1) into 1 4.535 * [backup-simplify]: Simplify (+ 0 1) into 1 4.536 * [backup-simplify]: Simplify (log 1) into 0 4.536 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.536 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.536 * [taylor]: Taking taylor expansion of n in n 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.536 * [backup-simplify]: Simplify (/ 1 1) into 1 4.537 * [backup-simplify]: Simplify (log 1) into 0 4.537 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.537 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.537 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.537 * [taylor]: Taking taylor expansion of 1 in n 4.537 * [backup-simplify]: Simplify 1 into 1 4.537 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.537 * [taylor]: Taking taylor expansion of n in n 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 1 into 1 4.537 * [backup-simplify]: Simplify (/ 1 1) into 1 4.538 * [backup-simplify]: Simplify (+ 0 1) into 1 4.538 * [backup-simplify]: Simplify (log 1) into 0 4.538 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in n 4.538 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (log1p (/ 1 n))) 4.538 * [taylor]: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) in n 4.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.538 * [taylor]: Taking taylor expansion of n in n 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.539 * [backup-simplify]: Simplify (/ 1 1) into 1 4.539 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.539 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.539 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.539 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.539 * [taylor]: Taking taylor expansion of 1 in n 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.539 * [taylor]: Taking taylor expansion of n in n 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [backup-simplify]: Simplify (/ 1 1) into 1 4.540 * [backup-simplify]: Simplify (+ 0 1) into 1 4.540 * [backup-simplify]: Simplify (log 1) into 0 4.540 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.540 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.540 * [taylor]: Taking taylor expansion of n in n 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify (/ 1 1) into 1 4.541 * [backup-simplify]: Simplify (log 1) into 0 4.541 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.541 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.541 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.541 * [taylor]: Taking taylor expansion of 1 in n 4.541 * [backup-simplify]: Simplify 1 into 1 4.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.541 * [taylor]: Taking taylor expansion of n in n 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (/ 1 1) into 1 4.542 * [backup-simplify]: Simplify (+ 0 1) into 1 4.543 * [backup-simplify]: Simplify (log 1) into 0 4.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.544 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 4.544 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 4.544 * [backup-simplify]: Simplify (* 1 0) into 0 4.545 * [backup-simplify]: Simplify (+ 0 0) into 0 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ 1 0) into 1 4.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.549 * [backup-simplify]: Simplify (- 0) into 0 4.550 * [backup-simplify]: Simplify (+ 1 0) into 1 4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 4.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.552 * [backup-simplify]: Simplify (+ 1 (- (log n))) into (- 1 (log n)) 4.552 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.557 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 1) (* 0 0))) into -1/2 4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.559 * [backup-simplify]: Simplify (+ 1 0) into 1 4.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.560 * [backup-simplify]: Simplify (+ -1/2 1) into 1/2 4.560 * [backup-simplify]: Simplify 1/2 into 1/2 4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.561 * [backup-simplify]: Simplify (+ 0 0) into 0 4.564 * [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 4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.567 * [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 4.568 * [backup-simplify]: Simplify (- 0) into 0 4.568 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.569 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/3 4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.570 * [backup-simplify]: Simplify (+ 0 0) into 0 4.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.572 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 4.572 * [backup-simplify]: Simplify -1/6 into -1/6 4.572 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 n) 2)) (+ (* 1/2 (/ 1 n)) (- 1 (log (/ 1 n))))) into (- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) 4.572 * [backup-simplify]: Simplify (fma (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) (log1p (/ 1 (- n)))) into (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) 4.572 * [approximate]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in (n) around 0 4.572 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in n 4.572 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) (log1p (/ -1 n))) 4.572 * [taylor]: Taking taylor expansion of (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) in n 4.572 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.573 * [taylor]: Taking taylor expansion of -1 in n 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of n in n 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.573 * [backup-simplify]: Simplify (/ -1 1) into -1 4.573 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.573 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.573 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.573 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.573 * [taylor]: Taking taylor expansion of 1 in n 4.573 * [backup-simplify]: Simplify 1 into 1 4.573 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.573 * [taylor]: Taking taylor expansion of -1 in n 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of n in n 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.573 * [backup-simplify]: Simplify (/ -1 1) into -1 4.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.574 * [backup-simplify]: Simplify (log -1) into (log -1) 4.574 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.574 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.574 * [taylor]: Taking taylor expansion of -1 in n 4.574 * [backup-simplify]: Simplify -1 into -1 4.574 * [taylor]: Taking taylor expansion of n in n 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (/ -1 1) into -1 4.575 * [backup-simplify]: Simplify (log -1) into (log -1) 4.575 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.575 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.575 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.575 * [taylor]: Taking taylor expansion of 1 in n 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.575 * [taylor]: Taking taylor expansion of -1 in n 4.575 * [backup-simplify]: Simplify -1 into -1 4.575 * [taylor]: Taking taylor expansion of n in n 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (/ -1 1) into -1 4.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.576 * [backup-simplify]: Simplify (log -1) into (log -1) 4.576 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in n 4.576 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) (log1p (/ -1 n))) 4.576 * [taylor]: Taking taylor expansion of (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) in n 4.576 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.576 * [taylor]: Taking taylor expansion of -1 in n 4.576 * [backup-simplify]: Simplify -1 into -1 4.576 * [taylor]: Taking taylor expansion of n in n 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (/ -1 1) into -1 4.576 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.576 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.576 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.576 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.576 * [taylor]: Taking taylor expansion of 1 in n 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.576 * [taylor]: Taking taylor expansion of -1 in n 4.576 * [backup-simplify]: Simplify -1 into -1 4.576 * [taylor]: Taking taylor expansion of n in n 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (/ -1 1) into -1 4.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.577 * [backup-simplify]: Simplify (log -1) into (log -1) 4.577 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.577 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.577 * [taylor]: Taking taylor expansion of -1 in n 4.577 * [backup-simplify]: Simplify -1 into -1 4.577 * [taylor]: Taking taylor expansion of n in n 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (/ -1 1) into -1 4.578 * [backup-simplify]: Simplify (log -1) into (log -1) 4.578 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.578 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.578 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.578 * [taylor]: Taking taylor expansion of 1 in n 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.578 * [taylor]: Taking taylor expansion of -1 in n 4.578 * [backup-simplify]: Simplify -1 into -1 4.578 * [taylor]: Taking taylor expansion of n in n 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ -1 1) into -1 4.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.579 * [backup-simplify]: Simplify (log -1) into (log -1) 4.579 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.580 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 4.581 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 4.581 * [backup-simplify]: Simplify (* -1 0) into 0 4.581 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (+ 1 0) into 1 4.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.585 * [backup-simplify]: Simplify (- 0) into 0 4.585 * [backup-simplify]: Simplify (+ -1 0) into -1 4.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.587 * [backup-simplify]: Simplify (+ 1 (- (log -1) (log n))) into (- (+ (log -1) 1) (log n)) 4.587 * [backup-simplify]: Simplify (- (+ (log -1) 1) (log n)) into (- (+ (log -1) 1) (log n)) 4.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.592 * [backup-simplify]: Simplify (- 0) into 0 4.592 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (+ (* -1 -1/2) (+ (* 0 -1) (* 0 0))) into 1/2 4.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (+ 1 0) into 1 4.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.595 * [backup-simplify]: Simplify (+ 1/2 -1) into -1/2 4.595 * [backup-simplify]: Simplify -1/2 into -1/2 4.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (+ 0 0) into 0 4.601 * [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 4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [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 4.605 * [backup-simplify]: Simplify (- 0) into 0 4.605 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 0)))) into 1/3 4.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (+ 0 0) into 0 4.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.609 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 4.609 * [backup-simplify]: Simplify -1/6 into -1/6 4.610 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- n)) 2)) (+ (* -1/2 (/ 1 (- n))) (- (+ (log -1) 1) (log (/ 1 (- n)))))) into (- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) 4.610 * * * [progress]: simplifying candidates 4.610 * * * * [progress]: [ 1 / 54 ] simplifiying candidate # 4.610 * * * * [progress]: [ 2 / 54 ] simplifiying candidate # 4.610 * * * * [progress]: [ 3 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 4 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 5 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 6 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 7 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 8 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 9 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 10 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 11 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 12 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 13 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 14 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 15 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 16 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 17 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 18 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 19 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 20 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 21 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 22 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 23 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 24 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 25 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 26 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 27 / 54 ] simplifiying candidate # 4.611 * * * * [progress]: [ 28 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 29 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 30 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 31 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 32 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 33 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 34 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 35 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 36 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 37 / 54 ] simplifiying candidate #real (real->posit16 (- (log1p n) (log n)))) (log1p n)) 1))> 4.612 * * * * [progress]: [ 38 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 39 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 40 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 41 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 42 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 43 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 44 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 45 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 46 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 47 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 48 / 54 ] simplifiying candidate #real (real->posit16 (fma n (- (log1p n) (log n)) (log1p n)))) 1))> 4.612 * * * * [progress]: [ 49 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 50 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 51 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 52 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 53 / 54 ] simplifiying candidate # 4.612 * * * * [progress]: [ 54 / 54 ] simplifiying candidate # 4.613 * [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 n (- (log1p n) (log n)) (log1p n))) (log1p (fma n (- (log1p n) (log n)) (log1p n))) (* n (- (log1p n) (log n))) (log (fma n (- (log1p n) (log n)) (log1p n))) (exp (fma n (- (log1p n) (log n)) (log1p n))) (* (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (cbrt (fma n (- (log1p n) (log n)) (log1p n)))) (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (* (* (fma n (- (log1p n) (log n)) (log1p n)) (fma n (- (log1p n) (log n)) (log1p n))) (fma n (- (log1p n) (log n)) (log1p n))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (real->posit16 (fma n (- (log1p n) (log n)) (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)) (* 1/6 (pow n 3)))) (- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) (- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) 4.614 * * [simplify]: iteration 1: (114 enodes) 4.674 * * [simplify]: iteration 2: (462 enodes) 4.850 * * [simplify]: iteration 3: (850 enodes) 5.326 * * [simplify]: iteration 4: (1982 enodes) 8.065 * * [simplify]: Extracting #0: cost 37 inf + 0 8.067 * * [simplify]: Extracting #1: cost 412 inf + 1 8.081 * * [simplify]: Extracting #2: cost 1227 inf + 13638 8.131 * * [simplify]: Extracting #3: cost 898 inf + 117811 8.228 * * [simplify]: Extracting #4: cost 285 inf + 315867 8.363 * * [simplify]: Extracting #5: cost 13 inf + 411765 8.471 * * [simplify]: Extracting #6: cost 0 inf + 416931 8.582 * [simplify]: Simplified to: (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p n) (log n)) 0 (- (log1p 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)) (* (+ (log n) (log1p n)) (- (log1p 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 (fma n (- (log1p n) (log n)) (log1p n))) (log1p (fma n (- (log1p n) (log n)) (log1p n))) (* (- (log1p n) (log n)) n) (log (fma n (- (log1p n) (log n)) (log1p n))) (exp (fma n (- (log1p n) (log n)) (log1p n))) (* (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (cbrt (fma n (- (log1p n) (log n)) (log1p n)))) (cbrt (fma n (- (log1p n) (log n)) (log1p n))) (* (fma n (- (log1p n) (log n)) (log1p n)) (* (fma n (- (log1p n) (log n)) (log1p n)) (fma n (- (log1p n) (log n)) (log1p n)))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (sqrt (fma n (- (log1p n) (log n)) (log1p n))) (real->posit16 (fma n (- (log1p n) (log n)) (log1p n))) (- n (fma 1/2 (* n n) (log n))) (- (+ (/ 1 n) (/ 1/3 (* (* n n) n))) (/ 1/2 (* n n))) (- (+ (/ 1 n) (/ 1/3 (* (* n n) n))) (/ 1/2 (* n n))) (+ n (* n (- (* 1/2 n) (fma n (* 1/6 n) (log n))))) (+ (+ 1 (/ -1/6 (* n n))) (+ (/ 1/2 n) (log n))) (- (+ (+ (+ (/ -1/6 (* n n)) (log -1)) 1) (/ 1/2 n)) (log (/ -1 n))) 8.586 * * * [progress]: adding candidates to table 9.106 * * [progress]: iteration 2 / 4 9.106 * * * [progress]: picking best candidate 9.111 * * * * [pick]: Picked # 9.111 * * * [progress]: localizing error 9.153 * * * [progress]: generating rewritten candidates 9.153 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 9.166 * * * [progress]: generating series expansions 9.166 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 9.166 * [backup-simplify]: Simplify (/ -1/6 (* n n)) into (/ -1/6 (pow n 2)) 9.166 * [approximate]: Taking taylor expansion of (/ -1/6 (pow n 2)) in (n) around 0 9.166 * [taylor]: Taking taylor expansion of (/ -1/6 (pow n 2)) in n 9.166 * [taylor]: Taking taylor expansion of -1/6 in n 9.166 * [backup-simplify]: Simplify -1/6 into -1/6 9.166 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.166 * [taylor]: Taking taylor expansion of n in n 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.168 * [backup-simplify]: Simplify (* 1 1) into 1 9.168 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 9.168 * [taylor]: Taking taylor expansion of (/ -1/6 (pow n 2)) in n 9.168 * [taylor]: Taking taylor expansion of -1/6 in n 9.168 * [backup-simplify]: Simplify -1/6 into -1/6 9.168 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.168 * [taylor]: Taking taylor expansion of n in n 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (* 1 1) into 1 9.169 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 9.169 * [backup-simplify]: Simplify -1/6 into -1/6 9.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.173 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.178 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.183 * [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 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 n) 2)) into (/ -1/6 (pow n 2)) 9.183 * [backup-simplify]: Simplify (/ -1/6 (* (/ 1 n) (/ 1 n))) into (* -1/6 (pow n 2)) 9.183 * [approximate]: Taking taylor expansion of (* -1/6 (pow n 2)) in (n) around 0 9.184 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 9.184 * [taylor]: Taking taylor expansion of -1/6 in n 9.184 * [backup-simplify]: Simplify -1/6 into -1/6 9.184 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.184 * [taylor]: Taking taylor expansion of n in n 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 9.184 * [taylor]: Taking taylor expansion of -1/6 in n 9.184 * [backup-simplify]: Simplify -1/6 into -1/6 9.184 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.184 * [taylor]: Taking taylor expansion of n in n 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [backup-simplify]: Simplify (* 1 1) into 1 9.185 * [backup-simplify]: Simplify (* -1/6 1) into -1/6 9.185 * [backup-simplify]: Simplify -1/6 into -1/6 9.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.186 * [backup-simplify]: Simplify (+ (* -1/6 0) (* 0 1)) into 0 9.186 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.190 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.191 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.191 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.193 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.194 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 n) 2)) into (/ -1/6 (pow n 2)) 9.195 * [backup-simplify]: Simplify (/ -1/6 (* (/ 1 (- n)) (/ 1 (- n)))) into (* -1/6 (pow n 2)) 9.195 * [approximate]: Taking taylor expansion of (* -1/6 (pow n 2)) in (n) around 0 9.195 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 9.195 * [taylor]: Taking taylor expansion of -1/6 in n 9.195 * [backup-simplify]: Simplify -1/6 into -1/6 9.195 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.195 * [taylor]: Taking taylor expansion of n in n 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 9.195 * [taylor]: Taking taylor expansion of -1/6 in n 9.195 * [backup-simplify]: Simplify -1/6 into -1/6 9.195 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.195 * [taylor]: Taking taylor expansion of n in n 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (* 1 1) into 1 9.195 * [backup-simplify]: Simplify (* -1/6 1) into -1/6 9.195 * [backup-simplify]: Simplify -1/6 into -1/6 9.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.196 * [backup-simplify]: Simplify (+ (* -1/6 0) (* 0 1)) into 0 9.196 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.197 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 1))) into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.200 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.202 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.204 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 (- n)) 2)) into (/ -1/6 (pow n 2)) 9.204 * * * [progress]: simplifying candidates 9.204 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 9.204 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 9.205 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 9.205 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 9.205 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 9.205 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #real (real->posit16 (/ -1/6 (* n n))))) (+ (/ 1/2 n) (log n))) 1))> 9.205 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 9.205 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 9.205 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 9.205 * [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)) 9.205 * * [simplify]: iteration 1: (46 enodes) 9.226 * * [simplify]: iteration 2: (180 enodes) 9.292 * * [simplify]: iteration 3: (336 enodes) 9.418 * * [simplify]: iteration 4: (594 enodes) 9.719 * * [simplify]: iteration 5: (974 enodes) 10.405 * * [simplify]: iteration 6: (1345 enodes) 11.707 * * [simplify]: Extracting #0: cost 21 inf + 0 11.707 * * [simplify]: Extracting #1: cost 206 inf + 1 11.711 * * [simplify]: Extracting #2: cost 395 inf + 2855 11.717 * * [simplify]: Extracting #3: cost 283 inf + 19247 11.729 * * [simplify]: Extracting #4: cost 73 inf + 88361 11.754 * * [simplify]: Extracting #5: cost 0 inf + 113997 11.788 * [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 (/ -1/6 n)) (/ -1/6 n) (/ n (/ (cbrt -1/6) n)) (* (/ n (sqrt -1/6)) n) (/ n (/ -1/6 n)) (real->posit16 (/ (/ -1/6 n) n)) (/ (/ -1/6 n) n) (/ (/ -1/6 n) n) (/ (/ -1/6 n) n) 11.791 * * * [progress]: adding candidates to table 12.022 * [progress]: [Phase 3 of 3] Extracting. 12.024 * [simplify]: Simplifying: (- (+ (+ 1 (/ -1/6 (* n n))) (+ (/ 1/2 n) (log n))) 1) 12.024 * * [simplify]: iteration 1: (12 enodes) 12.024 * * [simplify]: iteration 2: (17 enodes) 12.025 * * [simplify]: Extracting #0: cost 1 inf + 0 12.025 * * [simplify]: Extracting #1: cost 3 inf + 0 12.025 * * [simplify]: Extracting #2: cost 4 inf + 1 12.025 * * [simplify]: Extracting #3: cost 7 inf + 1 12.025 * * [simplify]: Extracting #4: cost 11 inf + 1 12.025 * * [simplify]: Extracting #5: cost 0 inf + 1183 12.025 * [simplify]: Simplified to: (- (+ (+ 1 (/ -1/6 (* n n))) (+ (/ 1/2 n) (log n))) 1) 18.448 * [regime-testing]: Baseline error score: 0.004375546943367921 18.450 * [regime-testing]: Oracle error score: 0.004375546943367921 18.450 * [regime-testing]: End program error score: 0.004375546943367921 18.513 * [regime-testing]: Target error score: 0