Details

analyze125.0ms

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

sample22.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5291	11

prune6.0ms

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: 7.8b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

8.6b	(.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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4885	193
1	4885	193

prune19.0ms

Filtered

10 candidates to 25 candidates (-150.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.1b

Counts

27 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
4.0ms	(.f64 x.im (.f64 x.re -3))

simplify43.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5212	305

prune30.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	41	8	49

Merged error: 0.0b

Counts

49 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
4.0ms	(.f64 (.f64 x.im x.re) -3)

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5113	308

prune25.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize9.0ms

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))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
4.0ms	(.f64 x.im (.f64 x.im x.re))

simplify68.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5144	308

prune16.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	45	7	52

Merged error: 0b

Counts

52 → 7

regimes67.0ms

Accuracy

0% (0.1b 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

sample565.0ms

Algorithm

intervals

Results

399.0ms	8000×	body	80	valid
21.0ms	434×	body	80	invalid

Details

analyze125.0ms

sample22.0ms

simplify139.0ms

prune6.0ms

localize7.0ms

rewrite8.0ms

series5.0ms

simplify35.0ms

prune19.0ms

localize7.0ms

rewrite13.0ms

series8.0ms

simplify43.0ms

prune30.0ms

localize7.0ms

rewrite13.0ms

series9.0ms

simplify48.0ms

prune25.0ms

localize9.0ms

rewrite14.0ms

series9.0ms

simplify68.0ms

prune16.0ms

regimes67.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample565.0ms

Profiling