Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 37.5b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

34.8b

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series105.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify119.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	96	156
1	305	148
2	1103	148
3	4548	148
4	5001	148

prune67.0ms

Filtered

21 candidates to 19 candidates (90.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	4	22

Merged error: 13.4b

Counts

22 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

29.2b

(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` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	98	103
1	254	98
2	619	98
3	1573	98
4	5001	98

prune62.0ms

Filtered

21 candidates to 19 candidates (90.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	24	1	25

Merged error: 0b

Counts

25 → 1

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample410.0ms

Algorithm

intervals

Results

241.0ms

8000×

body

valid