Details

sample66.0ms

Algorithm

intervals

Results

40.0ms	81×	body	1280	valid
9.0ms	40×	body	640	valid
3.0ms	106×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	66×	body	80	nan
1.0ms	10×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize4.0ms

Local error

Found 1 expressions with local error:

3.1b	(log (+ 1.0 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(log (+ 1.0 x))

simplify35.0ms

Counts: 18 → 18

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

59.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify122.0ms

Counts: 19 → 19

prune53.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.1b	(log (sqrt (+ 1.0 x)))
3.1b	(log (sqrt (+ 1.0 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

7.0ms	(sqrt (+ 1.0 x))
7.0ms	(sqrt (+ 1.0 x))
7.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ 1.0 x))
35.0ms	(sqrt (+ 1.0 x))
79.0ms	(log (sqrt (+ 1.0 x)))
85.0ms	(log (sqrt (+ 1.0 x)))

simplify56.0ms

Counts: 84 → 84

prune194.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (sqrt (+ 1.0 x)))
3.1b	(log (sqrt (+ 1.0 x)))
3.1b	(log (sqrt (+ 1.0 x)))
3.1b	(log (sqrt (+ 1.0 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
20×	`*-un-lft-identity`
16×	`sqrt-prod`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-pow`
8×	`add-exp-log` `log-div` `sqrt-div`
4×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 80

Calls

4 calls:

6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))
10.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (sqrt (+ 1.0 x)))
85.0ms	(log (sqrt (+ 1.0 x)))
86.0ms	(log (sqrt (+ 1.0 x)))
85.0ms	(log (sqrt (+ 1.0 x)))

simplify40.0ms

Counts: 92 → 92

prune236.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes107.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 22.1b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	2252×	body	1280	valid
389.0ms	1623×	body	640	valid
125.0ms	824×	body	320	valid
75.0ms	2878×	body	80	valid
45.0ms	2605×	body	80	nan
29.0ms	423×	body	160	valid