Details

sample268.0ms

Algorithm

intervals

Results

159.0ms	110×	body	1280	valid
61.0ms	80×	body	640	valid
17.0ms	42×	body	320	valid
11.0ms	256×	pre	80	true
5.0ms	20×	body	160	valid
0.0ms	4×	body	80	valid

simplify18.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize39.0ms

Local error

Found 3 expressions with local error:

5.7b	(log (+ 1 x))
5.4b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log (+ 1 x)))

rewrite41.0ms

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

26.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
5.0ms	(log (+ 1 x))

series143.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
30.0ms	(log (- 1 x))
25.0ms	(log (+ 1 x))

simplify1.4s

Counts: 82 → 82

prune767.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`diff-log` `insert-posit16`
1×	`sum-log` `sub-neg` `flip3--` `associate-l` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

Slowest

32.0ms	(- (+ -1 (* (* x x) -1/2)) x)
17.0ms	(* (* x x) -1/2)

series74.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

51.0ms	(* (* x x) -1/2)
23.0ms	(- (+ -1 (* (* x x) -1/2)) x)

simplify729.0ms

Counts: 43 → 43

prune259.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

Slowest

20.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

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

simplify1.6s

Counts: 23 → 23

prune120.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.3s	3416×	body	1280	valid
2.1s	2486×	body	640	valid
1.1s	1253×	body	320	valid
322.0ms	8000×	pre	80	true
168.0ms	636×	body	160	valid
24.0ms	209×	body	80	valid