Details

analyze230.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune3.0ms

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4.0) z))
0.2b	(.f64 (.f64 y 4.0) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

3.0ms	(-.f64 x (.f64 (.f64 y 4.0) z))
5.0ms	(.f64 (.f64 y 4.0) z)

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(-.f64 x (.f64 (.f64 y 4.0) z))
5.0ms	(.f64 (.f64 y 4.0) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5272	267

prune34.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 y (.f64 4.0 z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 y (*.f64 4.0 z)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(-.f64 x (*.f64 y (*.f64 4.0 z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4880	145
1	4880	145

prune17.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4.0) z)))
0.2b	(.f64 (.f64 y 4.0) z)
0.2b	(.f64 (.f64 y 4.0) z)
0.3b	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4.0) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4.0) z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`sqrt-div_binary64`
12×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64` `associate-l_binary64`
7×	`flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-sqr_binary64` `*-commutative_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4.0) z)))
5.0ms	(.f64 (.f64 y 4.0) z)
5.0ms	(.f64 (.f64 y 4.0) z)
10.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4.0) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4.0) z))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4.0) z)))
4.0ms	(.f64 (.f64 y 4.0) z)
4.0ms	(.f64 (.f64 y 4.0) z)
16.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4.0) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4.0) z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4955	1210
1	4955	1210

prune76.0ms

Filtered

65 candidates to 120 candidates (-84.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

end0.0ms

sample333.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
6.0ms	272×	body	80	invalid

Details

analyze230.0ms

sample14.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite9.0ms

series15.0ms

simplify63.0ms

prune34.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify85.0ms

prune17.0ms

localize7.0ms

rewrite27.0ms

series52.0ms

simplify49.0ms

prune76.0ms

regimes226.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample333.0ms

Profiling