Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample65.0ms

Algorithm

intervals

Results

38.0ms	78×	body	1280	valid
14.0ms	62×	body	640	valid
2.0ms	80×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	18×	body	160	valid

simplify206.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	2137	4
1	2137	4

prune3.0ms

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: 41.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify34.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	142
1	4984	142

prune44.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 1.0 (* (/ x (* 1.0 1.0)) -1/2)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* (/ x (* 1.0 1.0)) -1/2)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (+ 1.0 (* (/ x (* 1.0 1.0)) -1/2)))

simplify37.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4953	306
1	4953	306

prune53.0ms

Filtered

19 candidates to 25 candidates (-31.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	24	5	29

Merged error: 0.1b

Counts

29 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* x (/ -1/2 (* 1.0 1.0)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+ (* x 1.0) (* x (* x (/ -1/2 (* 1.0 1.0)))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* x 1.0) (* x (* x (/ -1/2 (* 1.0 1.0)))))

simplify37.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4953	212
1	4953	212

prune36.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	15	5	20

Merged error: 0.1b

Counts

20 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
23.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5501	356

prune103.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

regimes118.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	26
1	58	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2218×	body	1280	valid
382.0ms	1668×	body	640	valid
109.0ms	858×	body	320	valid
85.0ms	2835×	body	80	valid
30.0ms	421×	body	160	valid

Details

analyze3.0ms

sample65.0ms

simplify206.0ms

prune3.0ms

localize3.0ms

rewrite3.0ms

series3.0ms

simplify34.0ms

prune44.0ms

localize8.0ms

rewrite6.0ms

series6.0ms

simplify37.0ms

prune53.0ms

localize9.0ms

rewrite5.0ms

series7.0ms

simplify37.0ms

prune36.0ms

localize12.0ms

rewrite10.0ms

series90.0ms

simplify51.0ms

prune103.0ms

regimes118.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling