Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	88×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

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: 19.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.5b	(sqrt (+ (* x x) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

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

series61.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (* x x) y)
43.0ms	(sqrt (+ (* x x) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	153	160
1	518	146
2	1716	138
3	5002	136

prune72.0ms

Filtered

38 candidates to 32 candidates (84.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 1/2 (/ y x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

7.0ms

(* 1/2 (/ y x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 1/2 (/ y x))

simplify67.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	166	134
1	729	124
2	2968	124
3	5001	124

prune47.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/2 (/ y x) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma 1/2 (/ y x) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	44
1	48	39
2	156	39
3	585	39
4	2784	39
5	5001	39

prune18.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Merged error: 0b

Counts

16 → 3

regimes104.0ms

Accuracy

99.8% (0.0b remaining)

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

bsearch48.0ms

Steps

Iters	Range		Point
7	1.6427673983315245e+132	3.481666186677654e+134	2.0031866696388992e+133
10	-3.3077869202130516e+162	-4.262486889663285e+150	-1.3283658121427655e+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

sample352.0ms

Algorithm

intervals

Results

147.0ms	8000×	body	80	valid
46.0ms	2671×	body	80	nan