Details

sample0.0hr

Algorithm

intervals

Results

0.0hr

256×

body

valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	10	4
1	20	4
2	49	4
3	144	4
4	473	4
5	2128	4
6	5002	4

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 27.8b

Counts

2 → 1

localize0.0hr

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2.0) (pow x 2.0))
26.7b	(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
32×	`unpow-prod-down`
24×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
18×	`distribute-rgt-out`
14×	`distribute-lft-out`
8×	`sqr-pow`
4×	`distribute-lft1-in` `distribute-rgt1-in` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `flip3-+` `count-2` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 68

Calls

2 calls:

0.0hr	(+ (pow x 2.0) (pow x 2.0))
0.0hr	(sqrt (+ (pow x 2.0) (pow x 2.0)))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(+ (pow x 2.0) (pow x 2.0))
0.0hr	(sqrt (+ (pow x 2.0) (pow x 2.0)))

simplify0.0hr

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	149	334
1	494	319
2	3175	309
3	5001	308

prune0.0hr

Filtered

74 candidates to 44 candidates (40.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	9	75

Merged error: 0.1b

Counts

75 → 9

localize0.0hr

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
15.7b	(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`sqrt-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `pow1/3`
2×	`unpow-prod-down` `sqr-pow`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 50

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify0.0hr

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	149	281
1	307	265
2	752	231
3	2300	225
4	5002	225

prune0.0hr

Filtered

62 candidates to 51 candidates (17.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	60	11	71

Merged error: 0.1b

Counts

71 → 11

localize0.0hr

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt x) 2.0)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

0.0hr	(pow (cbrt x) 2.0)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(pow (cbrt x) 2.0)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

simplify0.0hr

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	139	258
1	370	242
2	1180	204
3	5001	199

prune0.0hr

Filtered

66 candidates to 49 candidates (25.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	64	13	77

Merged error: 0.1b

Counts

77 → 13

localize0.0hr

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

simplify0.0hr

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (0.0hr)

Iter	Nodes	Cost
0	59	204
1	101	188
2	205	148
3	559	144
4	2708	128
5	5002	128

prune0.0hr

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	55	14	69

Merged error: 0.1b

Counts

69 → 14

regimes0.0hr

Accuracy

78.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 1.5b

bsearch0.0hr

Steps

Iters	Range		Point
8	-1.2128248765666837e-307	1.6736278863314654e-306	-1.7415863520255e-310

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	20	13
1	26	13
2	26	13

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr

8002×

body

valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling