Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify11.0ms

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: 40.1b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
37.3b	(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:

42.0ms	(+ (+ (* x x) (* y y)) (* z z))
112.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (79.0ms)

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

prune120.0ms

Filtered

42 candidates to 35 candidates (83.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 14.4b

Counts

43 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
30.0b	(sqrt (+ (* x x) (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

1.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms	(sqrt (+ (* x x) (* y y)))

series221.0ms

Counts

2 → 6

Calls

2 calls:

181.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
40.0ms	(sqrt (+ (* x x) (* y y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	114	180
1	282	163
2	660	163
3	1620	163
4	5001	163

prune93.0ms

Filtered

34 candidates to 29 candidates (85.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	37	2	39

Merged error: 0b

Counts

39 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot (hypot x y) z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `hypot-udef` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(hypot (hypot x y) z)

series203.0ms

Counts

1 → 3

Calls

1 calls:

203.0ms

(hypot (hypot x y) z)

simplify109.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	24	41
1	27	36
2	31	36
3	36	36
4	55	36
5	109	36
6	515	36
7	1689	36
8	5001	36

prune31.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Merged error: 0b

Counts

15 → 2

regimes134.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample408.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid