Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample46.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
8.0ms	168×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune11.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

4.0ms	(+ (* x y) (* z t))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series135.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* x y) (* z t))
107.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4895	677
1	4895	677

prune78.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.6b	(cbrt (+ (* x y) (* z t)))
2.6b	(cbrt (+ (* x y) (* z t)))
2.6b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

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:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
34.0ms	(cbrt (+ (* x y) (* z t)))
36.0ms	(cbrt (+ (* x y) (* z t)))
34.0ms	(cbrt (+ (* x y) (* z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4917	1443
1	4917	1443

prune132.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (+ (* x y) (* z t)))
2.6b	(cbrt (+ (* x y) (* z t)))
2.6b	(cbrt (+ (* x y) (* z t)))
2.6b	(cbrt (+ (* x y) (* z t)))

rewrite17.0ms

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

series137.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ (* x y) (* z t)))
36.0ms	(cbrt (+ (* x y) (* z t)))
34.0ms	(cbrt (+ (* x y) (* z t)))
34.0ms	(cbrt (+ (* x y) (* z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	812
1	4995	812

prune104.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

rewrite43.0ms

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:

7.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
7.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
9.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
18.0ms	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
49.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
47.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
72.0ms	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4880	2544
1	4880	2544

prune105.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

regimes1.5s

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	22	15
1	22	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

412.0ms	8000×	body	80	valid
278.0ms	5512×	body	80	invalid

Details

analyze1.6s

sample46.0ms

simplify9.0ms

prune11.0ms

localize12.0ms

rewrite19.0ms

series135.0ms

simplify41.0ms

prune78.0ms

localize15.0ms

rewrite23.0ms

series149.0ms

simplify46.0ms

prune132.0ms

localize21.0ms

rewrite17.0ms

series137.0ms

simplify49.0ms

prune104.0ms

localize16.0ms

rewrite43.0ms

series215.0ms

simplify55.0ms

prune105.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling