Details

analyze1.5s

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

sample133.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune17.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series125.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ (* x y) (* z t)) (* a b))
107.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify38.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4983	536
1	4983	536

prune42.0ms

Filtered

25 candidates to 33 candidates (-32.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0.0b

Counts

34 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite32.0ms

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:

14.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
50.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
52.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4947	2087
1	4947	2087

prune127.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
1.2b	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)
1.2b	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)
1.2b	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
9.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)
8.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)
8.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)

series528.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
159.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)
159.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)
160.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)

simplify60.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4917	1630
1	4917	1630

prune179.0ms

Filtered

62 candidates to 97 candidates (-56.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite23.0ms

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:

6.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
53.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
51.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5284	1120

prune78.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

regimes1.4s

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 (1.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

365.0ms

8000×

body

valid

Details

analyze1.5s

sample133.0ms

simplify5.0ms

prune17.0ms

localize15.0ms

rewrite15.0ms

series125.0ms

simplify38.0ms

prune42.0ms

localize16.0ms

rewrite32.0ms

series252.0ms

simplify54.0ms

prune127.0ms

localize29.0ms

rewrite33.0ms

series528.0ms

simplify60.0ms

prune179.0ms

localize20.0ms

rewrite23.0ms

series209.0ms

simplify43.0ms

prune78.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling