Details

analyze593.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	51×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x y) z)
12.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
15.0ms	(+ (* (+ (* x y) z) y) t)
9.0ms	(* (+ (* x y) z) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune71.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
5.8b	(cbrt (* y (+ (* x y) z)))
5.8b	(cbrt (* y (+ (* x y) z)))
5.8b	(cbrt (* y (+ (* x y) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
41.0ms	(cbrt (* y (+ (* x y) z)))
37.0ms	(cbrt (* y (+ (* x y) z)))
38.0ms	(cbrt (* y (+ (* x y) z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4905	1020
1	4905	1020

prune122.0ms

Filtered

71 candidates to 84 candidates (-18.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* y x) z))
0.6b	(cbrt y)
5.8b	(cbrt (* y (+ (* x y) z)))
5.8b	(cbrt (* y (+ (* x y) z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt (+ (* y x) z))
1.0ms	(cbrt y)
5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (* y x) z))
22.0ms	(cbrt y)
39.0ms	(cbrt (* y (+ (* x y) z)))
37.0ms	(cbrt (* y (+ (* x y) z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5765	501

prune86.0ms

Filtered

52 candidates to 58 candidates (-11.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* y x) z))
0.6b	(cbrt y)
5.8b	(cbrt (* y (+ (* x y) z)))
5.8b	(cbrt (* y (+ (* y x) z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt (+ (* y x) z))
1.0ms	(cbrt y)
5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* y x) z)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* y x) z))
23.0ms	(cbrt y)
37.0ms	(cbrt (* y (+ (* x y) z)))
39.0ms	(cbrt (* y (+ (* y x) z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5765	501

prune67.0ms

Filtered

51 candidates to 58 candidates (-13.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

regimes409.0ms

Accuracy

0% (0.0b 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 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample542.0ms

Algorithm

intervals

Results

245.0ms	8000×	body	80	valid
52.0ms	1814×	body	80	invalid

Details

analyze593.0ms

sample20.0ms

simplify3.0ms

prune6.0ms

localize7.0ms

rewrite23.0ms

series29.0ms

simplify39.0ms

prune71.0ms

localize11.0ms

rewrite26.0ms

series167.0ms

simplify46.0ms

prune122.0ms

localize17.0ms

rewrite16.0ms

series130.0ms

simplify43.0ms

prune86.0ms

localize20.0ms

rewrite16.0ms

series130.0ms

simplify42.0ms

prune67.0ms

regimes409.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample542.0ms

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