Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	232×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	38	3
3	45	3
4	51	3
5	57	3
6	59	3
7	59	3

prune1.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

3.0ms

(- x (* (/ 3.0 8.0) y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (* (/ 3.0 8.0) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	107	129
1	372	112
2	1541	111
3	5002	94

prune41.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.1b

Counts

24 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

8.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
274.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
264.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
256.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	244	1068
1	767	1003
2	2875	944
3	5002	915

prune275.0ms

Filtered

107 candidates to 83 candidates (77.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	10	110

Merged error: 0.0b

Counts

110 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
268.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
269.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify113.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	199	746
1	500	704
2	1579	696
3	4949	668
4	5001	668

prune299.0ms

Filtered

81 candidates to 77 candidates (95.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	80	11	91

Merged error: 0.0b

Counts

91 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`cbrt-div`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
292.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
317.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify108.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	199	688
1	500	648
2	1579	640
3	4949	612
4	5001	612

prune295.0ms

Filtered

78 candidates to 74 candidates (94.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	7	7
Picked	0	1	1
Done	1	2	3
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample321.0ms

Algorithm

intervals

Results

144.0ms	7347×	body	80	valid
19.0ms	229×	body	1280	valid
11.0ms	108×	body	2560	valid
11.0ms	162×	body	640	valid
5.0ms	110×	body	320	valid
2.0ms	44×	body	160	valid