Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	25	6
2	31	6
3	32	6
4	32	6

prune3.0ms

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: 37.5b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

34.8b

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`distribute-lft-out`
14×	`sqrt-prod`
13×	`add-sqr-sqrt` `associate-l`
5×	`hypot-def`
4×	`swap-sqr`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `*-commutative` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

34.0ms

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

series129.0ms

Counts

1 → 3

Calls

1 calls:

129.0ms

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

simplify157.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	99	221
1	313	213
2	1138	213
3	4677	213
4	5001	213

prune78.0ms

Filtered

36 candidates to 20 candidates (55.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	4	37

Merged error: 13.4b

Counts

37 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

29.2b

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
26×	`hypot-def`
14×	`*-un-lft-identity`
12×	`swap-sqr`
10×	`*-commutative` `unswap-sqr`
8×	`sqrt-prod`
5×	`distribute-lft-out`
4×	`associate-l`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `+-commutative` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

22.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	101	107
1	262	102
2	655	102
3	1705	102
4	5001	102

prune103.0ms

Filtered

51 candidates to 28 candidates (54.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	54	1	55

Merged error: 0b

Counts

55 → 1

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Merged error: 0b

Counts

1 → 1

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

end0.0ms

sample407.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid