Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	333×	body	80	valid
14.0ms	319×	body	80	nan

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	21	5
2	36	5
3	62	5
4	133	5
5	211	5
6	397	5
7	1798	5
8	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.8b	(- (* y y) (* z z))
25.6b	(sqrt (- (* y y) (* z z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

12.0ms	(* x (sqrt (- (* y y) (* z z))))
3.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* x (sqrt (- (* y y) (* z z))))
30.0ms	(- (* y y) (* z z))
48.0ms	(sqrt (- (* y y) (* z z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	187	364
1	732	340
2	3010	337
3	5002	337

prune142.0ms

Filtered

63 candidates to 46 candidates (73.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
2.8b	(- (* y y) (* z z))
25.6b	(sqrt (- (* y y) (* z z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
2×	`flip3--` `pow1/3` `sqrt-div` `flip--` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 51

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
3.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
195.0ms	(cbrt x)
30.0ms	(- (* y y) (* z z))
48.0ms	(sqrt (- (* y y) (* z z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	157	267
1	509	247
2	1683	243
3	5003	242

prune178.0ms

Filtered

63 candidates to 51 candidates (81.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize3.0ms

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

prune3.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

localize2.0ms

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)

Merged error: 0.3b

regimes357.0ms

Accuracy

98.2% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 25.7b

bsearch156.0ms

Steps

Iters	Range		Point
10	-1.5324852384261613e-256	-7.909772593041413e-268	-7.9985446061757e-268

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	3
1	14	3
2	17	3
3	17	3

end0.0ms

sample914.0ms

Algorithm

intervals

Results

264.0ms	10112×	body	80	valid
256.0ms	10157×	body	80	nan