Details

sample26.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	89×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 20.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.7b	(sqrt (+ (* x x) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+ (* x x) y)
4.0ms	(sqrt (+ (* x x) y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* x x) y)
5.0ms	(sqrt (+ (* x x) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	139	151
1	485	141
2	1555	139
3	5002	138

prune43.0ms

Filtered

32 candidates to 25 candidates (21.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0b

Counts

33 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
18.7b	(sqrt (+ (* x x) y))
18.7b	(sqrt (+ (* x x) y))
18.7b	(sqrt (+ (* x x) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`cbrt-prod`
29×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-div`
14×	`pow1`
12×	`cbrt-div`
11×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
4.0ms	(sqrt (+ (* x x) y))
4.0ms	(sqrt (+ (* x x) y))
4.0ms	(sqrt (+ (* x x) y))

series33.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
5.0ms	(sqrt (+ (* x x) y))
5.0ms	(sqrt (+ (* x x) y))
5.0ms	(sqrt (+ (* x x) y))

simplify120.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	263	1168
1	878	1118
2	3770	1040
3	5001	995

prune104.0ms

Filtered

121 candidates to 82 candidates (32.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize4.0ms

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

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0b

Counts

4 → 4

localize4.0ms

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

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0b

Counts

4 → 4

regimes320.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.4b

bsearch19.0ms

Steps

Iters	Range		Point
4	2.985810553330127e+104	5.5718342847008665e+104	5.167768076674188e+104
9	-7.956913421278466e+156	-1.066828406664963e+152	-1.3423593624296464e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample534.0ms

Algorithm

intervals

Results

208.0ms	8000×	body	80	valid
67.0ms	2711×	body	80	nan

Details

sample26.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite8.0ms

series9.0ms

simplify50.0ms

prune43.0ms

localize9.0ms

rewrite29.0ms

series33.0ms

simplify120.0ms

prune104.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune4.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes320.0ms

bsearch19.0ms

simplify1.0ms

end0.0ms

sample534.0ms

Profiling