Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	10	3
2	10	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 28.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.3b

(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(sqrt (* (* 2.0 x) x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(sqrt (* (* 2.0 x) x))

simplify98.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	33	45
1	60	43
2	86	43
3	100	43
4	119	43
5	173	43
6	600	43
7	1831	43
8	5001	43

prune39.0ms

Filtered

15 candidates to 11 candidates (26.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Merged error: 0.2b

Counts

16 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (* (* 2.0 x) x)))
27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
9×	`sqrt-pow1` `pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `cbrt-prod` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`pow1/2`
1×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

4.0ms	(cbrt (sqrt (* (* 2.0 x) x)))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))

series409.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt (sqrt (* (* 2.0 x) x)))
44.0ms	(sqrt (* (* 2.0 x) x))
39.0ms	(sqrt (* (* 2.0 x) x))
44.0ms	(sqrt (* (* 2.0 x) x))

simplify68.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 5 (59.0ms)

Iter	Nodes	Cost
0	84	240
1	151	224
2	270	218
3	679	218
4	2221	216
5	5001	212

prune137.0ms

Filtered

60 candidates to 45 candidates (25.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	58	8	66

Merged error: 0.2b

Counts

66 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
12×	`sqrt-pow1` `pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

3.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))

series167.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (* (* 2.0 x) x))
44.0ms	(sqrt (* (* 2.0 x) x))
44.0ms	(sqrt (* (* 2.0 x) x))
40.0ms	(sqrt (* (* 2.0 x) x))

simplify101.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	33	180
1	60	172
2	86	172
3	100	172
4	119	172
5	173	172
6	600	172
7	1831	172
8	5001	172

prune169.0ms

Filtered

60 candidates to 44 candidates (26.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	60	8	68

Merged error: 0.2b

Counts

68 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

5.5b	(exp (log (sqrt (* (* 2.0 x) x))))
27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))
27.3b	(sqrt (* (* 2.0 x) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
12×	`sqrt-pow1` `pow-prod-down`
8×	`exp-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`log-pow`
4×	`add-exp-log` `log-prod` `pow1/2` `exp-sum` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
1×	`rem-exp-log`

Counts

4 → 56

Calls

4 calls:

5.0ms	(exp (log (sqrt (* (* 2.0 x) x))))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(exp (log (sqrt (* (* 2.0 x) x))))
44.0ms	(sqrt (* (* 2.0 x) x))
40.0ms	(sqrt (* (* 2.0 x) x))
44.0ms	(sqrt (* (* 2.0 x) x))

simplify79.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 5 (13.0ms)

Iter	Nodes	Cost
0	70	226
1	115	218
2	156	208
3	205	198
4	334	198
5	735	194
6	2315	194
7	5001	194

prune160.0ms

Filtered

68 candidates to 47 candidates (30.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0.2b

Counts

76 → 8

regimes228.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 30.4b

bsearch40.0ms

Steps

Iters	Range		Point
10	-2.3277859518990383e-296	1.2144667589559522e-305	-2.95546278909946e-310

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	24	7
2	24	7

end0.0ms

sample287.0ms

Algorithm

intervals

Results

169.0ms

8004×

body

valid

Details

sample16.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite4.0ms

series40.0ms

simplify98.0ms

prune39.0ms

localize8.0ms

rewrite16.0ms

series409.0ms

simplify68.0ms

prune137.0ms

localize14.0ms

rewrite16.0ms

series167.0ms

simplify101.0ms

prune169.0ms

localize14.0ms

rewrite18.0ms

series168.0ms

simplify79.0ms

prune160.0ms

regimes228.0ms

bsearch40.0ms

simplify1.0ms

end0.0ms

sample287.0ms

Profiling