Details

analyze126.0ms

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample24.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5291	11

prune9.0ms

Filtered

1 candidates to 1 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: 6.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

7.0b	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
1×	`-un-lft-identity_binary64` `add-log-exp_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `add-sqr-sqrt_binary64` `-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x.im x.im) (*.f64 x.re -3))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x.im x.im) (*.f64 x.re -3))

simplify38.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4885	193
1	4885	193

prune29.0ms

Filtered

10 candidates to 25 candidates (-150.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 0.1b

Counts

27 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
0.2b	(.f64 x.im (.f64 x.re -3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
5.0ms	(.f64 x.im (.f64 x.re -3))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
5.0ms	(.f64 x.im (.f64 x.re -3))

simplify45.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5212	305

prune58.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	40	10	50

Merged error: 0.0b

Counts

50 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
0.2b	(.f64 (.f64 x.im x.re) -3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
5.0ms	(.f64 (.f64 x.im x.re) -3)

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
5.0ms	(.f64 (.f64 x.im x.re) -3)

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5113	308

prune51.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	45	10	55

Merged error: 0b

Counts

55 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
0.2b	(.f64 x.im (.f64 x.im x.re))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
5.0ms	(.f64 x.im (.f64 x.im x.re))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
5.0ms	(.f64 x.im (.f64 x.im x.re))

simplify62.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5144	308

prune24.0ms

Filtered

20 candidates to 45 candidates (-125.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	45	10	55

Merged error: 0b

Counts

55 → 10

regimes179.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample553.0ms

Algorithm

intervals

Results

390.0ms	8000×	body	80	valid
20.0ms	415×	body	80	invalid

Details

analyze126.0ms

sample24.0ms

simplify144.0ms

prune9.0ms

localize8.0ms

rewrite8.0ms

series6.0ms

simplify38.0ms

prune29.0ms

localize8.0ms

rewrite14.0ms

series10.0ms

simplify45.0ms

prune58.0ms

localize8.0ms

rewrite14.0ms

series10.0ms

simplify48.0ms

prune51.0ms

localize8.0ms

rewrite14.0ms

series13.0ms

simplify62.0ms

prune24.0ms

regimes179.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample553.0ms

Profiling