Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	125×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune9.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

10.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.0ms	(+ (* x y) (* z t))

series28.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ (* x y) (* z t)) (* a b))
10.0ms	(+ (* x y) (* z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	369

prune46.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

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:

11.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
35.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4917	1443
1	4917	1443

prune118.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4995	812
1	4995	812

prune89.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (cbrt (cbrt (+ (* x y) (* z t)))) 4)
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow (cbrt (cbrt (+ (* x y) (* z t)))) 4)
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (cbrt (cbrt (+ (* x y) (* z t)))) 4)
34.0ms	(cbrt (+ (* x y) (* z t)))
38.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4888	985
1	4888	985

prune121.0ms

Filtered

61 candidates to 75 candidates (-23.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

regimes840.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms

sample854.0ms

Algorithm

intervals

Results

300.0ms	8000×	body	80	valid
155.0ms	3955×	body	80	invalid

Details

analyze1.2s

sample31.0ms

simplify3.0ms

prune9.0ms

localize9.0ms

rewrite14.0ms

series28.0ms

simplify42.0ms

prune46.0ms

localize13.0ms

rewrite24.0ms

series154.0ms

simplify47.0ms

prune118.0ms

localize18.0ms

rewrite16.0ms

series144.0ms

simplify51.0ms

prune89.0ms

localize21.0ms

rewrite18.0ms

series178.0ms

simplify56.0ms

prune121.0ms

regimes840.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample854.0ms

Profiling