0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.183 * * * [progress]: [2/2] Setting up program. 0.186 * [progress]: [Phase 2 of 3] Improving. 0.186 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.186 * [simplify]: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) 0.186 * * [simplify]: iteration 1: (9 enodes) 0.189 * * [simplify]: iteration 2: (40 enodes) 0.196 * * [simplify]: iteration 3: (78 enodes) 0.215 * * [simplify]: iteration 4: (121 enodes) 0.250 * * [simplify]: iteration 5: (188 enodes) 0.356 * * [simplify]: iteration 6: (358 enodes) 0.437 * * [simplify]: iteration 7: (491 enodes) 0.619 * * [simplify]: iteration 8: (727 enodes) 1.027 * * [simplify]: iteration 9: (1156 enodes) 2.080 * * [simplify]: iteration 10: (1931 enodes) 4.313 * * [simplify]: Extracting #0: cost 1 inf + 0 4.313 * * [simplify]: Extracting #1: cost 51 inf + 0 4.315 * * [simplify]: Extracting #2: cost 191 inf + 117 4.318 * * [simplify]: Extracting #3: cost 104 inf + 13794 4.343 * * [simplify]: Extracting #4: cost 7 inf + 37226 4.367 * * [simplify]: Extracting #5: cost 0 inf + 38841 4.387 * [simplify]: Simplified to (- (fma n (- (log1p n) (log n)) (log1p n)) 1) 4.394 * * [progress]: iteration 1 / 4 4.394 * * * [progress]: picking best candidate 4.396 * * * * [pick]: Picked # 4.396 * * * [progress]: localizing error 4.411 * * * [progress]: generating rewritten candidates 4.411 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 4.417 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.418 * * * [progress]: generating series expansions 4.418 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 4.418 * [backup-simplify]: Simplify (- (log1p n) (log n)) into (- (log1p n) (log n)) 4.418 * [approximate]: Taking taylor expansion of (- (log1p n) (log n)) in (n) around 0 4.418 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.418 * [taylor]: Taking taylor expansion of (log1p n) in n 4.418 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.418 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.418 * [taylor]: Taking taylor expansion of 1 in n 4.418 * [backup-simplify]: Simplify 1 into 1 4.418 * [taylor]: Taking taylor expansion of n in n 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (+ 1 0) into 1 4.419 * [backup-simplify]: Simplify (log 1) into 0 4.419 * [taylor]: Taking taylor expansion of (log n) in n 4.419 * [taylor]: Taking taylor expansion of n in n 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (log 1) into 0 4.419 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.419 * [taylor]: Taking taylor expansion of (log1p n) in n 4.419 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.419 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.419 * [taylor]: Taking taylor expansion of 1 in n 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [taylor]: Taking taylor expansion of n in n 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (+ 1 0) into 1 4.420 * [backup-simplify]: Simplify (log 1) into 0 4.420 * [taylor]: Taking taylor expansion of (log n) in n 4.420 * [taylor]: Taking taylor expansion of n in n 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (log 1) into 0 4.421 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.421 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.421 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 4.421 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.421 * [backup-simplify]: Simplify (+ 0 1) into 1 4.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.423 * [backup-simplify]: Simplify (- 0) into 0 4.423 * [backup-simplify]: Simplify (+ 1 0) into 1 4.423 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (+ 0 0) into 0 4.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.430 * [backup-simplify]: Simplify (- 0) into 0 4.431 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.431 * [backup-simplify]: Simplify -1/2 into -1/2 4.431 * [backup-simplify]: Simplify (+ (* -1/2 (pow n 2)) (+ (* 1 n) (- (log n)))) into (- n (+ (log n) (* 1/2 (pow n 2)))) 4.431 * [backup-simplify]: Simplify (- (log1p (/ 1 n)) (log (/ 1 n))) into (- (log1p (/ 1 n)) (log (/ 1 n))) 4.431 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in (n) around 0 4.431 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.431 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.431 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.431 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.431 * [taylor]: Taking taylor expansion of 1 in n 4.431 * [backup-simplify]: Simplify 1 into 1 4.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.431 * [taylor]: Taking taylor expansion of n in n 4.431 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify 1 into 1 4.431 * [backup-simplify]: Simplify (/ 1 1) into 1 4.432 * [backup-simplify]: Simplify (+ 0 1) into 1 4.432 * [backup-simplify]: Simplify (log 1) into 0 4.432 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.432 * [taylor]: Taking taylor expansion of n in n 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (/ 1 1) into 1 4.433 * [backup-simplify]: Simplify (log 1) into 0 4.433 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.433 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.433 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.433 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.433 * [taylor]: Taking taylor expansion of 1 in n 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.433 * [taylor]: Taking taylor expansion of n in n 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [backup-simplify]: Simplify (/ 1 1) into 1 4.433 * [backup-simplify]: Simplify (+ 0 1) into 1 4.434 * [backup-simplify]: Simplify (log 1) into 0 4.434 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.434 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.434 * [taylor]: Taking taylor expansion of n in n 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (/ 1 1) into 1 4.434 * [backup-simplify]: Simplify (log 1) into 0 4.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.435 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 4.435 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.436 * [backup-simplify]: Simplify (+ 1 0) into 1 4.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.438 * [backup-simplify]: Simplify (- 0) into 0 4.438 * [backup-simplify]: Simplify (+ 1 0) into 1 4.438 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.439 * [backup-simplify]: Simplify (+ 0 0) into 0 4.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.443 * [backup-simplify]: Simplify (- 0) into 0 4.444 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.444 * [backup-simplify]: Simplify -1/2 into -1/2 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ 0 0) into 0 4.448 * [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 4.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.451 * [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 4.452 * [backup-simplify]: Simplify (- 0) into 0 4.452 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.452 * [backup-simplify]: Simplify 1/3 into 1/3 4.452 * [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)))) 4.452 * [backup-simplify]: Simplify (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) into (- (log1p (/ -1 n)) (log (/ -1 n))) 4.453 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in (n) around 0 4.453 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.453 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.453 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.453 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.453 * [taylor]: Taking taylor expansion of 1 in n 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.453 * [taylor]: Taking taylor expansion of -1 in n 4.453 * [backup-simplify]: Simplify -1 into -1 4.453 * [taylor]: Taking taylor expansion of n in n 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [backup-simplify]: Simplify (/ -1 1) into -1 4.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.454 * [backup-simplify]: Simplify (log -1) into (log -1) 4.454 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.454 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.454 * [taylor]: Taking taylor expansion of -1 in n 4.454 * [backup-simplify]: Simplify -1 into -1 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [backup-simplify]: Simplify (/ -1 1) into -1 4.454 * [backup-simplify]: Simplify (log -1) into (log -1) 4.454 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.454 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.454 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.454 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.454 * [taylor]: Taking taylor expansion of 1 in n 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.454 * [taylor]: Taking taylor expansion of -1 in n 4.454 * [backup-simplify]: Simplify -1 into -1 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (/ -1 1) into -1 4.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.455 * [backup-simplify]: Simplify (log -1) into (log -1) 4.455 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.455 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.455 * [taylor]: Taking taylor expansion of -1 in n 4.455 * [backup-simplify]: Simplify -1 into -1 4.455 * [taylor]: Taking taylor expansion of n in n 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ -1 1) into -1 4.456 * [backup-simplify]: Simplify (log -1) into (log -1) 4.456 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.457 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 4.458 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 4.458 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.459 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.463 * [backup-simplify]: Simplify (- 0) into 0 4.464 * [backup-simplify]: Simplify (+ -1 0) into -1 4.464 * [backup-simplify]: Simplify -1 into -1 4.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.474 * [backup-simplify]: Simplify (- 0) into 0 4.474 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.474 * [backup-simplify]: Simplify -1/2 into -1/2 4.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ 0 0) into 0 4.482 * [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 4.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [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 4.489 * [backup-simplify]: Simplify (- 0) into 0 4.490 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.490 * [backup-simplify]: Simplify -1/3 into -1/3 4.490 * [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)))) 4.490 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.490 * [backup-simplify]: Simplify (fma n (- (log1p n) (log n)) (log1p n)) into (fma n (- (log1p n) (log n)) (log1p n)) 4.490 * [approximate]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in (n) around 0 4.490 * [taylor]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in n 4.490 * [taylor]: Rewrote expression to (+ (* n (- (log1p n) (log n))) (log1p n)) 4.490 * [taylor]: Taking taylor expansion of (* n (- (log1p n) (log n))) in n 4.490 * [taylor]: Taking taylor expansion of n in n 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.491 * [taylor]: Taking taylor expansion of (log1p n) in n 4.491 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.491 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.491 * [taylor]: Taking taylor expansion of 1 in n 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [taylor]: Taking taylor expansion of n in n 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (+ 1 0) into 1 4.492 * [backup-simplify]: Simplify (log 1) into 0 4.492 * [taylor]: Taking taylor expansion of (log n) in n 4.492 * [taylor]: Taking taylor expansion of n in n 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 1 into 1 4.492 * [backup-simplify]: Simplify (log 1) into 0 4.492 * [taylor]: Taking taylor expansion of (log1p n) in n 4.492 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.492 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.492 * [taylor]: Taking taylor expansion of 1 in n 4.492 * [backup-simplify]: Simplify 1 into 1 4.492 * [taylor]: Taking taylor expansion of n in n 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (+ 1 0) into 1 4.493 * [backup-simplify]: Simplify (log 1) into 0 4.493 * [taylor]: Taking taylor expansion of (fma n (- (log1p n) (log n)) (log1p n)) in n 4.493 * [taylor]: Rewrote expression to (+ (* n (- (log1p n) (log n))) (log1p n)) 4.493 * [taylor]: Taking taylor expansion of (* n (- (log1p n) (log n))) in n 4.493 * [taylor]: Taking taylor expansion of n in n 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [taylor]: Taking taylor expansion of (- (log1p n) (log n)) in n 4.494 * [taylor]: Taking taylor expansion of (log1p n) in n 4.494 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.494 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.494 * [taylor]: Taking taylor expansion of 1 in n 4.494 * [backup-simplify]: Simplify 1 into 1 4.494 * [taylor]: Taking taylor expansion of n in n 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify 1 into 1 4.494 * [backup-simplify]: Simplify (+ 1 0) into 1 4.495 * [backup-simplify]: Simplify (log 1) into 0 4.495 * [taylor]: Taking taylor expansion of (log n) in n 4.495 * [taylor]: Taking taylor expansion of n in n 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [backup-simplify]: Simplify (log 1) into 0 4.495 * [taylor]: Taking taylor expansion of (log1p n) in n 4.495 * [taylor]: Rewrote expression to (log (+ 1 n)) 4.495 * [taylor]: Taking taylor expansion of (+ 1 n) in n 4.495 * [taylor]: Taking taylor expansion of 1 in n 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [taylor]: Taking taylor expansion of n in n 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (+ 1 0) into 1 4.496 * [backup-simplify]: Simplify (log 1) into 0 4.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.497 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.497 * [backup-simplify]: Simplify (+ 0 (- (log n))) into (- (log n)) 4.497 * [backup-simplify]: Simplify (* 0 (- (log n))) into 0 4.497 * [backup-simplify]: Simplify (+ 0 0) into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (+ 0 1) into 1 4.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.501 * [backup-simplify]: Simplify (- 0) into 0 4.501 * [backup-simplify]: Simplify (+ 1 0) into 1 4.502 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- (log n)))) into (- (log n)) 4.502 * [backup-simplify]: Simplify (+ 0 1) into 1 4.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.503 * [backup-simplify]: Simplify (+ (- (log n)) 1) into (- 1 (log n)) 4.504 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.510 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.511 * [backup-simplify]: Simplify (- 0) into 0 4.511 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.512 * [backup-simplify]: Simplify (+ (* 0 -1/2) (+ (* 1 1) (* 0 (- (log n))))) into 1 4.513 * [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 4.516 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 4.516 * [backup-simplify]: Simplify 1/2 into 1/2 4.517 * [backup-simplify]: Simplify (+ 0 0) into 0 4.522 * [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 4.528 * [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 4.528 * [backup-simplify]: Simplify (- 0) into 0 4.529 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.530 * [backup-simplify]: Simplify (+ (* 0 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log n)))))) into (- 1/2) 4.531 * [backup-simplify]: Simplify (+ 0 0) into 0 4.536 * [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 4.537 * [backup-simplify]: Simplify (+ (- 1/2) 1/3) into -1/6 4.537 * [backup-simplify]: Simplify -1/6 into -1/6 4.537 * [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)))) 4.538 * [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))) 4.538 * [approximate]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in (n) around 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 4.538 * [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 4.542 * [backup-simplify]: Simplify (log 1) into 0 4.542 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (log1p (/ 1 n))) in n 4.543 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (log1p (/ 1 n))) 4.543 * [taylor]: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) in n 4.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.543 * [taylor]: Taking taylor expansion of n in n 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (/ 1 1) into 1 4.543 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n 4.543 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.543 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.543 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.543 * [taylor]: Taking taylor expansion of 1 in n 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.543 * [taylor]: Taking taylor expansion of n in n 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (/ 1 1) into 1 4.544 * [backup-simplify]: Simplify (+ 0 1) into 1 4.545 * [backup-simplify]: Simplify (log 1) into 0 4.545 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.545 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.545 * [taylor]: Taking taylor expansion of n in n 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify 1 into 1 4.545 * [backup-simplify]: Simplify (/ 1 1) into 1 4.545 * [backup-simplify]: Simplify (log 1) into 0 4.545 * [taylor]: Taking taylor expansion of (log1p (/ 1 n)) in n 4.546 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 n))) 4.546 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 n)) in n 4.546 * [taylor]: Taking taylor expansion of 1 in n 4.546 * [backup-simplify]: Simplify 1 into 1 4.546 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.546 * [taylor]: Taking taylor expansion of n in n 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 1 into 1 4.546 * [backup-simplify]: Simplify (/ 1 1) into 1 4.547 * [backup-simplify]: Simplify (+ 0 1) into 1 4.547 * [backup-simplify]: Simplify (log 1) into 0 4.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.549 * [backup-simplify]: Simplify (- (- (log n))) into (log n) 4.549 * [backup-simplify]: Simplify (+ (- (log n)) (log n)) into 0 4.549 * [backup-simplify]: Simplify (* 1 0) into 0 4.550 * [backup-simplify]: Simplify (+ 0 0) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (+ 1 0) into 1 4.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.555 * [backup-simplify]: Simplify (- 0) into 0 4.555 * [backup-simplify]: Simplify (+ 1 0) into 1 4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 4.557 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.557 * [backup-simplify]: Simplify (+ 1 (- (log n))) into (- 1 (log n)) 4.557 * [backup-simplify]: Simplify (- 1 (log n)) into (- 1 (log n)) 4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (+ 0 0) into 0 4.560 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.564 * [backup-simplify]: Simplify (- 0) into 0 4.564 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 1) (* 0 0))) into -1/2 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (+ 1 0) into 1 4.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.567 * [backup-simplify]: Simplify (+ -1/2 1) into 1/2 4.567 * [backup-simplify]: Simplify 1/2 into 1/2 4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.571 * [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 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [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 4.575 * [backup-simplify]: Simplify (- 0) into 0 4.576 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/3 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.580 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 4.580 * [backup-simplify]: Simplify -1/6 into -1/6 4.580 * [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)))) 4.580 * [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))) 4.580 * [approximate]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in (n) around 0 4.580 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in n 4.580 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) (log1p (/ -1 n))) 4.580 * [taylor]: Taking taylor expansion of (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) in n 4.580 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.580 * [taylor]: Taking taylor expansion of -1 in n 4.580 * [backup-simplify]: Simplify -1 into -1 4.580 * [taylor]: Taking taylor expansion of n in n 4.580 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ -1 1) into -1 4.581 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.581 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.581 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.581 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.581 * [taylor]: Taking taylor expansion of 1 in n 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.581 * [taylor]: Taking taylor expansion of -1 in n 4.581 * [backup-simplify]: Simplify -1 into -1 4.581 * [taylor]: Taking taylor expansion of n in n 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ -1 1) into -1 4.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.582 * [backup-simplify]: Simplify (log -1) into (log -1) 4.582 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.582 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.582 * [taylor]: Taking taylor expansion of -1 in n 4.582 * [backup-simplify]: Simplify -1 into -1 4.582 * [taylor]: Taking taylor expansion of n in n 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (/ -1 1) into -1 4.583 * [backup-simplify]: Simplify (log -1) into (log -1) 4.583 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.583 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.583 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.583 * [taylor]: Taking taylor expansion of 1 in n 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.583 * [taylor]: Taking taylor expansion of -1 in n 4.583 * [backup-simplify]: Simplify -1 into -1 4.583 * [taylor]: Taking taylor expansion of n in n 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (/ -1 1) into -1 4.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.584 * [backup-simplify]: Simplify (log -1) into (log -1) 4.584 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n))) (log1p (/ -1 n))) in n 4.584 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) (log1p (/ -1 n))) 4.584 * [taylor]: Taking taylor expansion of (* (/ -1 n) (- (log1p (/ -1 n)) (log (/ -1 n)))) in n 4.584 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.584 * [taylor]: Taking taylor expansion of -1 in n 4.584 * [backup-simplify]: Simplify -1 into -1 4.584 * [taylor]: Taking taylor expansion of n in n 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (/ -1 1) into -1 4.584 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 n)) (log (/ -1 n))) in n 4.584 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.584 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.584 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.584 * [taylor]: Taking taylor expansion of 1 in n 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.584 * [taylor]: Taking taylor expansion of -1 in n 4.584 * [backup-simplify]: Simplify -1 into -1 4.584 * [taylor]: Taking taylor expansion of n in n 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (/ -1 1) into -1 4.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.585 * [backup-simplify]: Simplify (log -1) into (log -1) 4.585 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.585 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.585 * [taylor]: Taking taylor expansion of -1 in n 4.585 * [backup-simplify]: Simplify -1 into -1 4.585 * [taylor]: Taking taylor expansion of n in n 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ -1 1) into -1 4.586 * [backup-simplify]: Simplify (log -1) into (log -1) 4.586 * [taylor]: Taking taylor expansion of (log1p (/ -1 n)) in n 4.586 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 n))) 4.586 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 n)) in n 4.586 * [taylor]: Taking taylor expansion of 1 in n 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.586 * [taylor]: Taking taylor expansion of -1 in n 4.586 * [backup-simplify]: Simplify -1 into -1 4.586 * [taylor]: Taking taylor expansion of n in n 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (/ -1 1) into -1 4.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.587 * [backup-simplify]: Simplify (log -1) into (log -1) 4.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.588 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.588 * [backup-simplify]: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) 4.588 * [backup-simplify]: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 4.589 * [backup-simplify]: Simplify (* -1 0) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.590 * [backup-simplify]: Simplify (+ 1 0) into 1 4.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.594 * [backup-simplify]: Simplify (- 0) into 0 4.595 * [backup-simplify]: Simplify (+ -1 0) into -1 4.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.597 * [backup-simplify]: Simplify (+ 1 (- (log -1) (log n))) into (- (+ (log -1) 1) (log n)) 4.598 * [backup-simplify]: Simplify (- (+ (log -1) 1) (log n)) into (- (+ (log -1) 1) (log n)) 4.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.607 * [backup-simplify]: Simplify (- 0) into 0 4.608 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ (* -1 -1/2) (+ (* 0 -1) (* 0 0))) into 1/2 4.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (+ 1 0) into 1 4.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.613 * [backup-simplify]: Simplify (+ 1/2 -1) into -1/2 4.613 * [backup-simplify]: Simplify -1/2 into -1/2 4.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (+ 0 0) into 0 4.620 * [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 4.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.627 * [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 4.627 * [backup-simplify]: Simplify (- 0) into 0 4.628 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 0)))) into 1/3 4.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.635 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.635 * [backup-simplify]: Simplify (+ 1/3 -1/2) into -1/6 4.636 * [backup-simplify]: Simplify -1/6 into -1/6 4.637 * [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)))) 4.637 * * * [progress]: simplifying candidates 4.637 * * * * [progress]: [ 1 / 54 ] simplifiying candidate # 4.637 * * * * [progress]: [ 2 / 54 ] simplifiying candidate # 4.637 * * * * [progress]: [ 3 / 54 ] simplifiying candidate # 4.637 * * * * [progress]: [ 4 / 54 ] simplifiying candidate # 4.637 * * * * [progress]: [ 5 / 54 ] simplifiying candidate # 4.637 * * * * [progress]: [ 6 / 54 ] simplifiying candidate # 4.637 * * * * [progress]: [ 7 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 8 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 9 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 10 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 11 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 12 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 13 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 14 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 15 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 16 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 17 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 18 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 19 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 20 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 21 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 22 / 54 ] simplifiying candidate # 4.638 * * * * [progress]: [ 23 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 24 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 25 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 26 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 27 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 28 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 29 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 30 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 31 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 32 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 33 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 34 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 35 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 36 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 37 / 54 ] simplifiying candidate #real (real->posit16 (- (log1p n) (log n)))) (log1p n)) 1))> 4.639 * * * * [progress]: [ 38 / 54 ] simplifiying candidate # 4.639 * * * * [progress]: [ 39 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 40 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 41 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 42 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 43 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 44 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 45 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 46 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 47 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 48 / 54 ] simplifiying candidate #real (real->posit16 (fma n (- (log1p n) (log n)) (log1p n)))) 1))> 4.640 * * * * [progress]: [ 49 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 50 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 51 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 52 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 53 / 54 ] simplifiying candidate # 4.640 * * * * [progress]: [ 54 / 54 ] simplifiying candidate # 4.642 * [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)))) 4.643 * * [simplify]: iteration 1: (114 enodes) 4.688 * * [simplify]: iteration 2: (462 enodes) 4.801 * * [simplify]: iteration 3: (850 enodes) 5.311 * * [simplify]: iteration 4: (1982 enodes) 7.962 * * [simplify]: Extracting #0: cost 37 inf + 0 7.964 * * [simplify]: Extracting #1: cost 412 inf + 1 7.979 * * [simplify]: Extracting #2: cost 1227 inf + 13638 8.011 * * [simplify]: Extracting #3: cost 898 inf + 117811 8.083 * * [simplify]: Extracting #4: cost 285 inf + 315867 8.195 * * [simplify]: Extracting #5: cost 13 inf + 411765 8.305 * * [simplify]: Extracting #6: cost 0 inf + 416931 8.408 * [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))) 8.411 * * * [progress]: adding candidates to table 8.863 * * [progress]: iteration 2 / 4 8.863 * * * [progress]: picking best candidate 8.867 * * * * [pick]: Picked # 8.868 * * * [progress]: localizing error 8.893 * * * [progress]: generating rewritten candidates 8.893 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 8.900 * * * [progress]: generating series expansions 8.901 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 8.901 * [backup-simplify]: Simplify (/ -1/6 (* n n)) into (/ -1/6 (pow n 2)) 8.901 * [approximate]: Taking taylor expansion of (/ -1/6 (pow n 2)) in (n) around 0 8.901 * [taylor]: Taking taylor expansion of (/ -1/6 (pow n 2)) in n 8.901 * [taylor]: Taking taylor expansion of -1/6 in n 8.901 * [backup-simplify]: Simplify -1/6 into -1/6 8.901 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.901 * [taylor]: Taking taylor expansion of n in n 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 1 into 1 8.901 * [backup-simplify]: Simplify (* 1 1) into 1 8.902 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 8.902 * [taylor]: Taking taylor expansion of (/ -1/6 (pow n 2)) in n 8.902 * [taylor]: Taking taylor expansion of -1/6 in n 8.902 * [backup-simplify]: Simplify -1/6 into -1/6 8.902 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.902 * [taylor]: Taking taylor expansion of n in n 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (* 1 1) into 1 8.902 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 8.902 * [backup-simplify]: Simplify -1/6 into -1/6 8.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 8.903 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.906 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.913 * [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 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 n) 2)) into (/ -1/6 (pow n 2)) 8.913 * [backup-simplify]: Simplify (/ -1/6 (* (/ 1 n) (/ 1 n))) into (* -1/6 (pow n 2)) 8.913 * [approximate]: Taking taylor expansion of (* -1/6 (pow n 2)) in (n) around 0 8.913 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 8.913 * [taylor]: Taking taylor expansion of -1/6 in n 8.913 * [backup-simplify]: Simplify -1/6 into -1/6 8.913 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.913 * [taylor]: Taking taylor expansion of n in n 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 8.914 * [taylor]: Taking taylor expansion of -1/6 in n 8.914 * [backup-simplify]: Simplify -1/6 into -1/6 8.914 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.914 * [taylor]: Taking taylor expansion of n in n 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [backup-simplify]: Simplify (* 1 1) into 1 8.915 * [backup-simplify]: Simplify (* -1/6 1) into -1/6 8.915 * [backup-simplify]: Simplify -1/6 into -1/6 8.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.916 * [backup-simplify]: Simplify (+ (* -1/6 0) (* 0 1)) into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.918 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 1))) into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.927 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.930 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.930 * [backup-simplify]: Simplify 0 into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.934 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.934 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 n) 2)) into (/ -1/6 (pow n 2)) 8.935 * [backup-simplify]: Simplify (/ -1/6 (* (/ 1 (- n)) (/ 1 (- n)))) into (* -1/6 (pow n 2)) 8.935 * [approximate]: Taking taylor expansion of (* -1/6 (pow n 2)) in (n) around 0 8.935 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 8.935 * [taylor]: Taking taylor expansion of -1/6 in n 8.935 * [backup-simplify]: Simplify -1/6 into -1/6 8.935 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.935 * [taylor]: Taking taylor expansion of n in n 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [taylor]: Taking taylor expansion of (* -1/6 (pow n 2)) in n 8.935 * [taylor]: Taking taylor expansion of -1/6 in n 8.935 * [backup-simplify]: Simplify -1/6 into -1/6 8.935 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.935 * [taylor]: Taking taylor expansion of n in n 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (* 1 1) into 1 8.936 * [backup-simplify]: Simplify (* -1/6 1) into -1/6 8.936 * [backup-simplify]: Simplify -1/6 into -1/6 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify (+ (* -1/6 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.939 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 1))) into 0 8.939 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.943 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.944 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.946 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.948 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (* -1/6 (pow (/ 1 (- n)) 2)) into (/ -1/6 (pow n 2)) 8.948 * * * [progress]: simplifying candidates 8.948 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 8.948 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #real (real->posit16 (/ -1/6 (* n n))))) (+ (/ 1/2 n) (log n))) 1))> 8.949 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 8.949 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 8.949 * [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)) 8.950 * * [simplify]: iteration 1: (46 enodes) 8.964 * * [simplify]: iteration 2: (180 enodes) 9.020 * * [simplify]: iteration 3: (336 enodes) 9.120 * * [simplify]: iteration 4: (594 enodes) 9.425 * * [simplify]: iteration 5: (974 enodes) 10.079 * * [simplify]: iteration 6: (1345 enodes) 11.750 * * [simplify]: Extracting #0: cost 21 inf + 0 11.751 * * [simplify]: Extracting #1: cost 206 inf + 1 11.754 * * [simplify]: Extracting #2: cost 395 inf + 2855 11.764 * * [simplify]: Extracting #3: cost 283 inf + 19247 11.785 * * [simplify]: Extracting #4: cost 73 inf + 88361 11.818 * * [simplify]: Extracting #5: cost 0 inf + 113997 11.857 * [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) 11.861 * * * [progress]: adding candidates to table 12.086 * [progress]: [Phase 3 of 3] Extracting. 12.091 * [simplify]: Simplifying (- (+ (+ 1 (/ -1/6 (* n n))) (+ (/ 1/2 n) (log n))) 1) 12.091 * * [simplify]: iteration 1: (12 enodes) 12.092 * * [simplify]: iteration 2: (17 enodes) 12.093 * * [simplify]: Extracting #0: cost 1 inf + 0 12.093 * * [simplify]: Extracting #1: cost 3 inf + 0 12.094 * * [simplify]: Extracting #2: cost 4 inf + 1 12.094 * * [simplify]: Extracting #3: cost 7 inf + 1 12.094 * * [simplify]: Extracting #4: cost 11 inf + 1 12.094 * * [simplify]: Extracting #5: cost 0 inf + 1183 12.094 * [simplify]: Simplified to (- (+ (+ 1 (/ -1/6 (* n n))) (+ (/ 1/2 n) (log n))) 1) 18.319 * [regime-testing]: Baseline error score: 0.003375421927740968 18.322 * [regime-testing]: Oracle error score: 0.003375421927740968 18.322 * [regime-testing]: End program error score: 0.003375421927740968 18.371 * [regime-testing]: Target error score: 0