Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	6
1	20	6
2	22	6
3	22	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: 39.4b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

36.5b

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

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` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	90	142
1	275	137
2	951	137
3	3615	137
4	5002	137

prune44.0ms

Filtered

18 candidates to 16 candidates (88.9%)

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: 18.7b

Counts

19 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
36.5b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
36.5b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
49×	`add-sqr-sqrt`
34×	`sqrt-pow1`
28×	`pow1` `sqrt-div`
18×	`pow1/2`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
8×	`flip3-+` `flip-+`
5×	`add-exp-log` `pow-prod-down` `pow-sqr` `add-cbrt-cube`
4×	`frac-times`
3×	`add-log-exp`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 113

Calls

3 calls:

17.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
96.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
95.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	211	1240
1	854	1153
2	5002	1122

prune180.0ms

Filtered

122 candidates to 60 candidates (49.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 18.7b

Counts

127 → 5

localize1.0ms

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

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 18.7b

Counts

5 → 5

localize1.0ms

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

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 18.7b

Counts

5 → 5

regimes322.0ms

Accuracy

62.5% (7.1b remaining)

Error of 25.3b against oracle of 18.2b and baseline of 37.2b

bsearch42.0ms

Steps

Iters	Range		Point
6	6.032929379497232e+122	9.237392696154721e+123	5.834983082911053e+123
6	-6.919510691587111e+74	-4.585091278332084e+73	-3.442788364271012e+74

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample475.0ms

Algorithm

intervals

Results

317.0ms

8000×

body

valid

Details

sample18.0ms

simplify6.0ms

prune2.0ms

localize8.0ms

rewrite5.0ms

series96.0ms

simplify96.0ms

prune44.0ms

localize10.0ms

rewrite33.0ms

series287.0ms

simplify43.0ms

prune180.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune2.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes322.0ms

bsearch42.0ms

simplify1.0ms

end0.0ms

sample475.0ms

Profiling