Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	11	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 17.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

16.8b

(cbrt (/ g (* 2.0 a)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

3.0ms

(cbrt (/ g (* 2.0 a)))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(cbrt (/ g (* 2.0 a)))

simplify162.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (36.0ms)

Iter	Nodes	Cost
0	96	122
1	156	113
2	356	111
3	986	109
4	4792	105
5	5001	105

prune60.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	13	8	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	9	22

Merged error: 2.6b

Counts

22 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt g)
0.6b	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))
4.3b	(cbrt (/ (cbrt g) a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `div-inv`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt g)
1.0ms	(cbrt g)
4.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))
3.0ms	(cbrt (/ (cbrt g) a))

series862.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt g)
179.0ms	(cbrt g)
321.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))
176.0ms	(cbrt (/ (cbrt g) a))

simplify74.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	235	521
1	594	497
2	2360	485
3	5001	475

prune502.0ms

Filtered

89 candidates to 76 candidates (85.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	73	16	89
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	76	22	98

Merged error: 0.1b

Counts

98 → 22

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt g)
0.6b	(cbrt (cbrt g))
0.6b	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`times-frac`
1×	`cbrt-div` `div-inv`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt g)
1.0ms	(cbrt g)
2.0ms	(cbrt (cbrt g))
4.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))

series928.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt g)
182.0ms	(cbrt g)
249.0ms	(cbrt (cbrt g))
315.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	135	324
1	295	302
2	1063	292
3	5001	286

prune265.0ms

Filtered

72 candidates to 63 candidates (87.5%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	2	17	19
Picked	0	1	1
Done	0	2	2
Total	69	25	94

Merged error: 0.1b

Counts

94 → 25

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt g)
0.6b	(cbrt (cbrt g))
0.6b	(cbrt (* (cbrt g) (cbrt g)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt g)
1.0ms	(cbrt g)
2.0ms	(cbrt (cbrt g))
4.0ms	(cbrt (* (cbrt g) (cbrt g)))

series884.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt g)
182.0ms	(cbrt g)
251.0ms	(cbrt (cbrt g))
267.0ms	(cbrt (* (cbrt g) (cbrt g)))

simplify108.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	112	239
1	242	219
2	759	209
3	3150	209
4	5002	204

prune209.0ms

Filtered

65 candidates to 58 candidates (89.2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	2	19	21
Picked	1	0	1
Done	0	3	3
Total	64	26	90

Merged error: 0.1b

Counts

90 → 26

regimes490.0ms

Accuracy

0% (1.0b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

end0.0ms

sample339.0ms

Algorithm

intervals

Results

202.0ms

8000×

body

valid