Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	83×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune2.0ms

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: 21.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.7b	(sqrt (+ (* x x) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`fma-def`
8×	`add-cube-cbrt`
5×	`associate-l` `sqrt-prod` `hypot-def`
4×	`swap-sqr` `distribute-lft-out` `add-log-exp`
3×	`pow1` `associate-r`
2×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `*-commutative` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 54

Calls

2 calls:

9.0ms	(+ (* x x) y)
9.0ms	(sqrt (+ (* x x) y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x x) y)
45.0ms	(sqrt (+ (* x x) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	149	170
1	495	157
2	1652	147
3	5001	142

prune93.0ms

Filtered

60 candidates to 46 candidates (23.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize4.0ms

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

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

3 → 3

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0b

Counts

3 → 3

regimes97.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 20.9b

bsearch44.0ms

Steps

Iters	Range		Point
8	8.416843817856387e+101	1.8928424626778097e+105	2.64036770613704e+104
7	-2.3180075012208635e+154	-6.52330204454965e+152	-1.3282714360887295e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	30	9
2	32	9
3	32	9

end0.0ms

sample373.0ms

Algorithm

intervals

Results

157.0ms	8000×	body	80	valid
45.0ms	2704×	body	80	nan