Details

analyze608.0ms

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

sample62.0ms

Algorithm

intervals

Results

21.0ms	42×	body	1280	valid
12.0ms	39×	body	640	valid
7.0ms	136×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	9×	body	640	invalid
2.0ms	19×	body	160	valid
1.0ms	3×	body	1280	invalid
0.0ms	2×	body	320	invalid
0.0ms	8×	body	80	nan
0.0ms	5×	body	80	invalid
0.0ms	2×	body	160	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	9
1	4985	9

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 12.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
6.5b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
118×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
80×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
25×	`associate-/l*_binary64`
19×	`distribute-lft-out_binary64`
16×	`add-exp-log_binary64`
12×	`associate-/r/_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `div-exp_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`sqr-pow_binary64`
4×	`pow1_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-pow_binary64`

Counts

3 → 172

Calls

3 calls:

12.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
6.0ms	(/.f64 x (+.f64 x y))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

series82.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
10.0ms	(/.f64 x (+.f64 x y))
38.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4951	2646
1	4951	2646

prune159.0ms

Filtered

131 candidates to 181 candidates (-38.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0.5b

Counts

182 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `add-exp-log_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `exp-neg_binary64`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4919	265
1	4919	265

prune36.0ms

Filtered

24 candidates to 32 candidates (-33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	32	4	36

Merged error: 0.5b

Counts

36 → 4

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.5b

Counts

4 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
1.6b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
4.8b	(sqrt.f64 (/.f64 x (+.f64 x y)))
4.8b	(sqrt.f64 (/.f64 x (+.f64 x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod_binary64`
64×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
42×	`unpow-prod-down_binary64`
40×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`pow1_binary64`
8×	`associate-/r/_binary64`
6×	`pow-unpow_binary64` `pow-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64` `pow-exp_binary64` `sqrt-div_binary64`

Counts

4 → 136

Calls

4 calls:

8.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
9.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
8.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
6.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
46.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
10.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
11.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4931	1732
1	4931	1732

prune104.0ms

Filtered

104 candidates to 148 candidates (-42.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	148	4	152

Merged error: 0.5b

Counts

152 → 4

regimes102.0ms

Accuracy

93.3% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 12.5b

bsearch51.0ms

Steps

Iters	Range		Point
9	8.45334183654279e-07	0.9233158210240633	0.9135141426216564
8	-2146.2871863654054	-0.49983448522191887	-6.022737885036182

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	34
1	34	34

end0.0ms

sample1.9s

Algorithm

intervals

Results

709.0ms	1417×	body	1280	valid
369.0ms	1178×	body	640	valid
243.0ms	4404×	body	80	valid
134.0ms	666×	body	320	valid
76.0ms	261×	body	640	invalid
47.0ms	107×	body	1280	invalid
43.0ms	335×	body	160	valid
35.0ms	181×	body	320	invalid
12.0ms	95×	body	160	invalid
10.0ms	136×	body	80	invalid
9.0ms	210×	body	80	nan

Details

analyze608.0ms

sample62.0ms

simplify47.0ms

prune10.0ms

localize7.0ms

rewrite35.0ms

series82.0ms

simplify67.0ms

prune159.0ms

localize5.0ms

rewrite7.0ms

series6.0ms

simplify68.0ms

prune36.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune8.0ms

localize10.0ms

rewrite38.0ms

series116.0ms

simplify87.0ms

prune104.0ms

regimes102.0ms

bsearch51.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling