Details

sample110.0ms

Algorithm

intervals

Results

37.0ms	54×	body	1280	valid
17.0ms	36×	body	640	valid
16.0ms	137×	body	80	valid
16.0ms	209×	body	80	nan
6.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize18.0ms

Local error

Found 1 expressions with local error:

3.0b	(- (log1p N) (log N))

rewrite13.0ms

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

12.0ms

(- (log1p N) (log N))

series91.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

90.0ms

(- (log1p N) (log N))

simplify493.0ms

Counts: 55 → 40

prune298.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

3.1b	(log (/ (+ 1 N) N))
0.0b	(/ (+ 1 N) N)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`expm1-log1p-u` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 66

Calls

2 calls:

Slowest

13.0ms	(/ (+ 1 N) N)
5.0ms	(log (/ (+ 1 N) N))

series131.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

69.0ms	(log (/ (+ 1 N) N))
62.0ms	(/ (+ 1 N) N)

simplify511.0ms

Counts: 100 → 72

prune490.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (/ (+ 1 N) N))
3.1b	(log (/ (+ 1 N) N))
0.3b	(* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))))
0.1b	(sqrt (log (/ (+ 1 N) N)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
32×	`log-prod`
30×	`sqrt-prod`
29×	`pow1` `add-cube-cbrt`
24×	`times-frac`
12×	`add-exp-log`
11×	`swap-sqr`
9×	`sqrt-pow1` `pow1/2` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `distribute-lft-out`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`log-div` `div-exp` `div-inv`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

Slowest

27.0ms	(* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))))
15.0ms	(sqrt (log (/ (+ 1 N) N)))
8.0ms	(log (/ (+ 1 N) N))
7.0ms	(log (/ (+ 1 N) N))

series272.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(sqrt (log (/ (+ 1 N) N)))
59.0ms	(log (/ (+ 1 N) N))
57.0ms	(log (/ (+ 1 N) N))
48.0ms	(* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))))

simplify782.0ms

Counts: 190 → 146

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

13.6b	(fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))
0.1b	(/ (/ 1 N) N)
0.1b	(/ (/ 1 N) N)
0.1b	(/ (/ (/ 1 N) N) N)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

543×	`times-frac`
272×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
69×	`associate-/l*`
37×	`add-exp-log`
27×	`div-inv`
23×	`add-cbrt-cube` `div-exp`
15×	`pow1`
12×	`cbrt-undiv`
9×	`associate-/r*`
8×	`pow-div`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow` `associate-/l/`
1×	`fma-udef`

Counts

4 → 364

Calls

4 calls:

Slowest

12.0ms	(/ (/ (/ 1 N) N) N)
8.0ms	(/ (/ 1 N) N)
7.0ms	(/ (/ 1 N) N)
0.0ms	(fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

45.0ms	(fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))
39.0ms	(/ (/ (/ 1 N) N) N)
25.0ms	(/ (/ 1 N) N)
18.0ms	(/ (/ 1 N) N)

simplify617.0ms

Counts: 586 → 376

prune3.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.1b

bsearch40.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	1684×	body	1280	valid
1.0s	7809×	body	80	nan
501.0ms	1275×	body	640	valid
433.0ms	4113×	body	80	valid
154.0ms	619×	body	320	valid
49.0ms	309×	body	160	valid