Details

sample71.0ms

Algorithm

intervals

Results

38.0ms	72×	body	1280	valid
14.0ms	55×	body	640	valid
3.0ms	22×	body	320	valid
3.0ms	82×	body	80	valid
3.0ms	25×	body	160	valid
3.0ms	82×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.4b

localize3.0ms

Local error

Found 1 expressions with local error:

5.8b	(log (+ 1.0 x))

rewrite3.0ms

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:

3.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite28.0ms

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:

28.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify122.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	181	252
1	733	234
2	4310	223
3	5001	223

prune48.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
5.9b	(log (sqrt (+ 1.0 x)))
5.9b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms

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:

4.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (+ 1.0 x))
36.0ms	(sqrt (+ 1.0 x))
82.0ms	(log (sqrt (+ 1.0 x)))
81.0ms	(log (sqrt (+ 1.0 x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	176	482
1	484	436
2	1819	418
3	5002	406

prune176.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))))
2.5b	(log (sqrt (- (* 1.0 1.0) (* x x))))
5.8b	(log (sqrt (- 1.0 x)))
5.9b	(log (sqrt (+ 1.0 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
24×	`*-un-lft-identity`
22×	`sqrt-prod`
20×	`add-sqr-sqrt`
17×	`log-pow`
16×	`pow1`
14×	`add-cube-cbrt`
10×	`log-div` `sqrt-div`
8×	`associate--r+` `distribute-lft-out--`
7×	`add-exp-log` `associate--l+`
5×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

16.0ms	(- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))))
4.0ms	(log (sqrt (- (* 1.0 1.0) (* x x))))
3.0ms	(log (sqrt (- 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))))
191.0ms	(log (sqrt (- (* 1.0 1.0) (* x x))))
84.0ms	(log (sqrt (- 1.0 x)))
86.0ms	(log (sqrt (+ 1.0 x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	475	1013
1	1366	949
2	5002	900

prune310.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	2286×	body	1280	valid
448.0ms	1690×	body	640	valid
130.0ms	870×	body	320	valid
110.0ms	2717×	body	80	valid
76.0ms	2688×	body	80	nan
45.0ms	437×	body	160	valid