Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 30.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

28.1b

(sqrt (+ (* x x) (* y y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(sqrt (+ (* x x) (* y y)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(sqrt (+ (* x x) (* y y)))

simplify139.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 5 (135.0ms)

Iter	Nodes	Cost
0	89	100
1	215	97
2	503	97
3	1265	97
4	4227	97
5	5002	96

prune39.0ms

Filtered

18 candidates to 15 candidates (83.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 7.0b

Counts

19 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

5.7b	(exp (log (sqrt (+ (* x x) (* y y)))))
28.1b	(sqrt (+ (* x x) (* y y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `log-prod` `exp-prod` `*-un-lft-identity` `exp-sum` `sqrt-prod`
5×	`pow1`
4×	`sqrt-div`
3×	`log-pow`
2×	`add-exp-log` `log-div` `sqrt-pow1` `flip3-+` `pow1/2` `exp-diff` `add-cbrt-cube` `flip-+` `add-log-exp`
1×	`rem-sqrt-square` `rem-exp-log`

Counts

2 → 37

Calls

2 calls:

5.0ms	(exp (log (sqrt (+ (* x x) (* y y)))))
4.0ms	(sqrt (+ (* x x) (* y y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(exp (log (sqrt (+ (* x x) (* y y)))))
37.0ms	(sqrt (+ (* x x) (* y y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 5 (140.0ms)

Iter	Nodes	Cost
0	136	253
1	280	247
2	583	238
3	1387	232
4	4698	232
5	5001	228

prune72.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	41	7	48

Merged error: 7.0b

Counts

48 → 7

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	2	2
Total	7	7

Merged error: 7.0b

Counts

7 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b	(exp (log (* -1 x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

3.0ms

(exp (log (* -1 x)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(exp (log (* -1 x)))

simplify24.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	34	50
1	87	42
2	275	42
3	866	42
4	5001	42

prune18.0ms

Filtered

17 candidates to 9 candidates (52.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	14	10	24

Merged error: 7.0b

Counts

24 → 10

Details

sample14.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series34.0ms

simplify139.0ms

prune39.0ms

localize9.0ms

rewrite9.0ms

series71.0ms

simplify144.0ms

prune72.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune5.0ms

localize7.0ms

rewrite4.0ms

series13.0ms

simplify24.0ms

prune18.0ms

regimes287.0ms

bsearch2.0ms

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