Details

sample288.0ms

Algorithm

intervals

Results

165.0ms	106×	body	1280	valid
79.0ms	93×	body	640	valid
13.0ms	27×	body	320	valid
10.0ms	256×	pre	80	true
5.0ms	18×	body	160	valid
2.0ms	12×	body	80	valid

simplify26.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize15.0ms

Local error

Found 3 expressions with local error:

5.3b	(log (+ 1 x))
5.3b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log (+ 1 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

Slowest

16.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
4.0ms	(log (- 1 x))
3.0ms	(log (+ 1 x))

series160.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
47.0ms	(log (- 1 x))
23.0ms	(log (+ 1 x))

simplify1.3s

Counts: 82 → 82

prune744.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ -1 (* (* x x) -1/2)) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`diff-log`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 17

Calls

1 calls:

Slowest

38.0ms

(- (+ -1 (* (* x x) -1/2)) x)

series21.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

21.0ms

(- (+ -1 (* (* x x) -1/2)) x)

simplify2.2s

Counts: 20 → 20

prune170.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (+ (* x x) (- 1 x)))
5.3b	(log (- 1 x))
1.8b	(log (+ (* (* x x) x) 1))
0.1b	(* (* x x) x)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
12×	`add-sqr-sqrt` `log-prod` `add-exp-log`
11×	`*-un-lft-identity`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`log-div` `pow-plus` `pow-prod-up`
4×	`insert-posit16` `add-log-exp`
3×	`rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`pow2` `flip3-+` `pow-sqr` `flip-+` `difference-of-squares`
1×	`flip3--` `associate-l` `pow3` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

Slowest

34.0ms	(log (+ (* (* x x) x) 1))
16.0ms	(* (* x x) x)
13.0ms	(log (+ (* x x) (- 1 x)))
4.0ms	(log (- 1 x))

series620.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

488.0ms	(log (+ (* (* x x) x) 1))
47.0ms	(log (- 1 x))
43.0ms	(log (+ (* x x) (- 1 x)))
42.0ms	(* (* x x) x)

simplify1.1s

Counts: 89 → 89

prune793.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (+ 1 x))
5.3b	(log (+ 1 x))
2.4b	(log (- 1 (* x x)))
0.0b	(- (log (- 1 (* x x))) (log (+ 1 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`pow1`
10×	`log-div`
9×	`add-cube-cbrt`
7×	`add-exp-log` `log-pow`
5×	`associate--l+` `difference-of-squares`
4×	`add-cbrt-cube` `insert-posit16` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`flip3-+` `flip3--` `rem-log-exp` `flip-+` `flip--` `distribute-lft-out`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 80

Calls

4 calls:

Slowest

17.0ms	(- (log (- 1 (* x x))) (log (+ 1 x)))
3.0ms	(log (+ 1 x))
3.0ms	(log (- 1 (* x x)))
3.0ms	(log (+ 1 x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(log (- 1 (* x x)))
80.0ms	(- (log (- 1 (* x x))) (log (+ 1 x)))
40.0ms	(log (+ 1 x))
34.0ms	(log (+ 1 x))

simplify894.0ms

Counts: 92 → 92

prune755.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample9.5s

Algorithm

intervals

Results

5.9s	3406×	body	1280	valid
2.2s	2502×	body	640	valid
684.0ms	1255×	body	320	valid
331.0ms	8000×	pre	80	true
201.0ms	615×	body	160	valid
28.0ms	222×	body	80	valid