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

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	34	3
3	41	3
4	47	3
5	50	3
6	50	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))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

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))

simplify90.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	80	79
1	258	72
2	1053	72
3	3864	72
4	5002	72

prune25.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.1b

Counts

16 → 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×	`frac-times` `add-cbrt-cube` `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 → 87

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:

230.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
257.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
262.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
257.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	237	1018
1	740	953
2	2721	895
3	5002	874

prune226.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

localize12.0ms

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))))

rewrite14.0ms

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` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(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:

266.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
261.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify106.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 4 (98.0ms)

Iter	Nodes	Cost
0	192	700
1	476	658
2	1445	650
3	4605	630
4	5001	620

prune249.0ms

Filtered

73 candidates to 62 candidates (84.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	72	11	83

Merged error: 0.0b

Counts

83 → 11

localize16.0ms

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))))

rewrite11.0ms

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` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 58

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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
264.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
265.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
256.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify112.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	192	644
1	476	604
2	1445	596
3	4605	576
4	5001	568

prune243.0ms

Filtered

70 candidates to 60 candidates (85.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	7	7
Picked	0	1	1
Done	1	2	3
Total	70	11	81

Merged error: 0.0b

Counts

81 → 11

regimes157.0ms

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

sample313.0ms

Algorithm

intervals

Results

137.0ms	7347×	body	80	valid
18.0ms	229×	body	1280	valid
10.0ms	108×	body	2560	valid
10.0ms	162×	body	640	valid
5.0ms	110×	body	320	valid
1.0ms	44×	body	160	valid