Details

analyze137.0ms

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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	11

prune8.0ms

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.2b	(.f64 (.f64 x.re x.im) 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.re (.f64 (*.f64 x.re x.im) 3))
6.0ms	(.f64 (.f64 x.re x.im) 3)

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
4.0ms	(.f64 (.f64 x.re x.im) 3)

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5058	308

prune48.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.re (.f64 x.re x.im))
0.2b	(.f64 (.f64 x.re (*.f64 x.re x.im)) 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:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4956	308
1	4956	308

prune44.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

8.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
6.0ms	(.f64 x.re (.f64 x.im 3))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5203	305

prune39.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 x.re (.f64 x.re x.im))
0.2b	(.f64 (.f64 x.re (*.f64 x.re x.im)) (sqrt.f64 3))
0.3b	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (sqrt.f64 3)) (sqrt.f64 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`associate-r_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-l_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

5.0ms	(.f64 x.re (.f64 x.re x.im))
8.0ms	(.f64 (.f64 x.re (*.f64 x.re x.im)) (sqrt.f64 3))
12.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (sqrt.f64 3)) (sqrt.f64 3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(.f64 x.re (.f64 x.re x.im))
7.0ms	(.f64 (.f64 x.re (*.f64 x.re x.im)) (sqrt.f64 3))
10.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (sqrt.f64 3)) (sqrt.f64 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5115	603

prune43.0ms

Filtered

35 candidates to 78 candidates (-122.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	78	8	86

Merged error: 0b

Counts

86 → 8

regimes100.0ms

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	21	11
1	21	11

end0.0ms

sample540.0ms

Algorithm

intervals

Results

373.0ms	8000×	body	80	valid
31.0ms	593×	body	80	invalid

Details

analyze137.0ms

sample20.0ms

simplify67.0ms

prune8.0ms

localize7.0ms

rewrite14.0ms

series11.0ms

simplify38.0ms

prune48.0ms

localize7.0ms

rewrite14.0ms

series9.0ms

simplify64.0ms

prune44.0ms

localize7.0ms

rewrite15.0ms

series8.0ms

simplify46.0ms

prune39.0ms

localize9.0ms

rewrite28.0ms

series20.0ms

simplify50.0ms

prune43.0ms

regimes100.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample540.0ms

Profiling