Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify13.0ms

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

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: 38.8b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
36.0b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* z z))
6.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ (* x x) (* y y)) (* z z))
112.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	152	287
1	659	259
2	2778	251
3	5002	248

prune117.0ms

Filtered

42 candidates to 35 candidates (83.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 15.6b

Counts

43 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

32.7b

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

rewrite5.0ms

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)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (7.0ms)

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

prune61.0ms

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

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample513.0ms

Algorithm

intervals

Results

335.0ms

8000×

body

valid