Details

sample78.0ms

Algorithm

intervals

Results

23.0ms	49×	body	1280	valid
14.0ms	245×	body	80	nan
13.0ms	44×	body	640	valid
10.0ms	130×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	11×	body	160	valid

simplify38.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize9.0ms

Local error

Found 1 expressions with local error:

3.3b	(- (log1p N) (log N))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
5×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+`
2×	`diff-log` `distribute-lft-out--` `add-log-exp`
1×	`expm1-log1p-u` `log1p-udef` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`

Counts

1 → 37

Calls

1 calls:

Slowest

6.0ms

(- (log1p N) (log N))

series68.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

68.0ms

(- (log1p N) (log N))

simplify1.7s

Counts: 40 → 40

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (/ (+ 1 N) N))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
15×	`*-un-lft-identity`
12×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log`
3×	`distribute-lft-out`
2×	`pow1` `rem-log-exp`
1×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `div-exp` `log-pow` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

4.0ms

(log (/ (+ 1 N) N))

series60.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

60.0ms

(log (/ (+ 1 N) N))

simplify1.3s

Counts: 33 → 33

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (log1p N) (log N))
3.3b	(- (log1p N) (log N))
3.3b	(- (log1p N) (log N))
0.3b	(cbrt (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
36×	`prod-diff`
31×	`add-cube-cbrt`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`cbrt-div`
16×	`pow1`
14×	`associate-*l/`
12×	`log-pow`
9×	`log-prod` `fma-neg` `associate--r+`
8×	`associate-*r/`
7×	`add-log-exp`
6×	`diff-log` `distribute-lft-out--`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`log1p-udef` `sub-neg` `difference-of-squares`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 150

Calls

4 calls:

Slowest

45.0ms	(cbrt (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))))
16.0ms	(- (log1p N) (log N))
9.0ms	(- (log1p N) (log N))
6.0ms	(- (log1p N) (log N))

series251.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(- (log1p N) (log N))
63.0ms	(- (log1p N) (log N))
63.0ms	(- (log1p N) (log N))
62.0ms	(cbrt (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))))

simplify3.8s

Counts: 162 → 162

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (log1p N) (log N))
3.3b	(- (log1p N) (log N))
3.3b	(- (log1p N) (log N))
1.0b	(pow (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) 1/3)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`pow1` `prod-diff`
32×	`add-cube-cbrt`
12×	`pow-pow` `log-pow`
10×	`add-exp-log`
9×	`log-prod` `fma-neg` `associate--r+`
7×	`add-log-exp`
6×	`pow-plus` `diff-log` `pow-prod-up` `distribute-lft-out--`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `log1p-udef` `sub-neg` `flip3--` `pow-prod-down` `pow-exp` `prod-exp` `flip--` `difference-of-squares`
2×	`pow2` `pow-sqr`
1×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow3` `sqr-pow`

Counts

4 → 143

Calls

4 calls:

Slowest

83.0ms	(pow (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) 1/3)
11.0ms	(- (log1p N) (log N))
11.0ms	(- (log1p N) (log N))
7.0ms	(- (log1p N) (log N))

series339.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(pow (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) 1/3)
93.0ms	(- (log1p N) (log N))
77.0ms	(- (log1p N) (log N))
65.0ms	(- (log1p N) (log N))

simplify1.0s

Counts: 155 → 155

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes35.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.8b

bsearch34.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	1813×	body	1280	valid
1.0s	7827×	body	80	nan
531.0ms	1265×	body	640	valid
375.0ms	4006×	body	80	valid
149.0ms	601×	body	320	valid
49.0ms	315×	body	160	valid