Details

sample71.0ms

Algorithm

intervals

Results

38.0ms	72×	body	1280	valid
14.0ms	55×	body	640	valid
3.0ms	82×	body	80	valid
3.0ms	22×	body	320	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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune44.0ms

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify123.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	47	115
1	148	97
2	551	97
3	3494	94
4	5001	94

prune41.0ms

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×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

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)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ 1.0 x))
39.0ms	(sqrt (+ 1.0 x))
81.0ms	(log (sqrt (+ 1.0 x)))
82.0ms	(log (sqrt (+ 1.0 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	187	510
1	521	462
2	1993	440
3	5002	428

prune197.0ms

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)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

56×	`log-pow`
42×	`pow1`
37×	`log-prod` `*-un-lft-identity`
36×	`prod-diff`
33×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
22×	`sqrt-prod`
18×	`sqrt-pow1` `pow1/2`
10×	`log-div` `sqrt-div`
8×	`associate--r+` `distribute-lft-out--`
7×	`add-exp-log` `associate--l+`
6×	`fma-neg`
5×	`flip3--` `flip--` `difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 149

Calls

4 calls:

14.0ms	(- (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)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))))
195.0ms	(log (sqrt (- (* 1.0 1.0) (* x x))))
85.0ms	(log (sqrt (- 1.0 x)))
84.0ms	(log (sqrt (+ 1.0 x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	604	2058
1	1833	1491
2	5001	1466

prune380.0ms

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	18	10
1	18	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	2286×	body	1280	valid
442.0ms	1690×	body	640	valid
129.0ms	870×	body	320	valid
111.0ms	2717×	body	80	valid
78.0ms	2688×	body	80	nan
43.0ms	437×	body	160	valid