Details

analyze573.0ms

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

sample64.0ms

Algorithm

intervals

Results

27.0ms	52×	body	1280	valid
10.0ms	33×	body	640	valid
8.0ms	147×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	5×	body	1280	invalid
2.0ms	8×	body	320	invalid
1.0ms	5×	body	640	invalid
1.0ms	6×	body	160	valid
0.0ms	4×	body	160	invalid
0.0ms	10×	body	80	nan
0.0ms	3×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4985	9
1	4985	9

prune6.0ms

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: 11.0b

Counts

2 → 1

localize6.0ms

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))
5.1b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite32.0ms

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:

11.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
5.0ms	(/.f64 x (+.f64 x y))
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

series89.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
6.0ms	(/.f64 x (+.f64 x y))
46.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4951	2646
1	4951	2646

prune147.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.7b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log_binary64`
13×	`unpow-prod-down_binary64`
12×	`cbrt-div_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`pow1_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
16.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

series125.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
68.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5160	881

prune74.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.8b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod_binary64`
48×	`*-un-lft-identity_binary64` `log-prod_binary64`
42×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
10.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt.f64 (+.f64 x y))
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
21.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5092	1207

prune104.0ms

Filtered

88 candidates to 107 candidates (-21.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4919	265
1	4919	265

prune27.0ms

Filtered

24 candidates to 32 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Merged error: 0b

Counts

35 → 5

regimes108.0ms

Accuracy

98.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.9b

bsearch72.0ms

Steps

Iters	Range		Point
10	8.537120949482327e-07	104721.38425127674	656.9668403360257
8	-2.0737225781697043e+49	-6.13652674095655e+44	-4.230496892314292e+47

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	39
1	37	39

end0.0ms

sample1.9s

Algorithm

intervals

Results

694.0ms	1408×	body	1280	valid
354.0ms	1182×	body	640	valid
238.0ms	4413×	body	80	valid
128.0ms	638×	body	320	valid
69.0ms	239×	body	640	invalid
53.0ms	121×	body	1280	invalid
45.0ms	359×	body	160	valid
34.0ms	180×	body	320	invalid
14.0ms	115×	body	160	invalid
8.0ms	147×	body	80	invalid
8.0ms	191×	body	80	nan

Details

analyze573.0ms

sample64.0ms

simplify41.0ms

prune6.0ms

localize6.0ms

rewrite32.0ms

series89.0ms

simplify63.0ms

prune147.0ms

localize15.0ms

rewrite23.0ms

series125.0ms

simplify39.0ms

prune74.0ms

localize14.0ms

rewrite20.0ms

series92.0ms

simplify52.0ms

prune104.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify63.0ms

prune27.0ms

regimes108.0ms

bsearch72.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling