Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5733	9

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: 0.2b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (*.f64 i i))
0.3b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
35×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`
12×	`difference-of-squares_binary64`
10×	`pow1_binary64`
9×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64` `pow-flip_binary64`
5×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `inv-pow_binary64` `pow-sqr_binary64` `flip--_binary64` `pow2_binary64`

Counts

2 → 81

Calls

2 calls:

9.0ms	(/.f64 1 (*.f64 i i))
8.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

series6.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (*.f64 i i))
3.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

simplify56.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4850	821
1	4850	821

prune44.0ms

Filtered

50 candidates to 87 candidates (-74.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))
0.0b	(-.f64 (.f64 (.f64 i i) -1/4) (+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))
9.0ms	(-.f64 (.f64 (.f64 i i) -1/4) (+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6))))

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))
7.0ms	(-.f64 (.f64 (.f64 i i) -1/4) (+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6))))

simplify54.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5117	476

prune21.0ms

Filtered

21 candidates to 30 candidates (-42.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	30	2	32

Merged error: 0b

Counts

32 → 2

regimes14.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample577.0ms

Algorithm

intervals

Results

395.0ms	8000×	body	80	valid
84.0ms	8000×	pre	80	true

Details

analyze6.0ms

sample20.0ms

simplify50.0ms

prune6.0ms

localize5.0ms

rewrite20.0ms

series6.0ms

simplify56.0ms

prune44.0ms

localize9.0ms

rewrite15.0ms

series18.0ms

simplify54.0ms

prune21.0ms

regimes14.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample577.0ms

Profiling