Details

analyze595.0ms

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

25.0ms	48×	body	1280	valid
8.0ms	145×	body	80	valid
8.0ms	25×	body	640	valid
5.0ms	25×	body	320	valid
2.0ms	11×	body	320	invalid
2.0ms	13×	body	160	valid
1.0ms	5×	body	640	invalid
1.0ms	3×	body	1280	invalid
0.0ms	2×	body	160	invalid
0.0ms	4×	body	80	invalid
0.0ms	2×	body	80	nan

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

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: 10.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
5.8b	(pow (/ x (+ x y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

5.0ms	(/ x (+ x y))
10.0ms	(/ (pow (/ x (+ x y)) x) x)
6.0ms	(pow (/ x (+ x y)) x)

series48.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ x (+ x y))
21.0ms	(/ (pow (/ x (+ x y)) x) x)
19.0ms	(pow (/ x (+ x y)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5011	2849

prune204.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	173	8	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	8	182

Merged error: 0.8b

Counts

182 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ x (pow (/ x (+ x y)) x)))
0.0b	(/ x (+ x y))
5.8b	(pow (/ x (+ x y)) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

642×	`times-frac`
378×	`*-un-lft-identity`
292×	`add-sqr-sqrt` `add-cube-cbrt`
234×	`unpow-prod-down`
74×	`associate-/r*`
43×	`distribute-lft-out`
40×	`add-exp-log`
29×	`associate-/r/`
27×	`div-exp`
19×	`div-inv`
14×	`flip3-+` `flip-+`
13×	`sqr-pow`
10×	`add-cbrt-cube`
8×	`pow-exp`
6×	`associate-/l*`
5×	`pow1` `rec-exp` `1-exp`
4×	`cbrt-undiv` `pow-to-exp`
3×	`pow-unpow` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `pow-pow` `inv-pow`

Counts

3 → 379

Calls

3 calls:

21.0ms	(/ 1 (/ x (pow (/ x (+ x y)) x)))
5.0ms	(/ x (+ x y))
9.0ms	(pow (/ x (+ x y)) x)

series49.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1 (/ x (pow (/ x (+ x y)) x)))
5.0ms	(/ x (+ x y))
23.0ms	(pow (/ x (+ x y)) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

388 → 388

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	7509
1	4974	7509

prune350.0ms

Filtered

223 candidates to 388 candidates (-74.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	387	1	388
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	389	7	396

Merged error: 0.8b

Counts

396 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
5.7b	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`unpow-prod-down`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
24.0ms	(cbrt x)
22.0ms	(cbrt x)
168.0ms	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4899	649
1	4899	649

prune123.0ms

Filtered

56 candidates to 76 candidates (-35.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Merged error: 0.8b

Counts

83 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
5.7b	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))
11.8b	(log (exp (cbrt x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`unpow-prod-down`
17×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log` `log-pow`
6×	`pow1` `exp-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod` `distribute-lft-out`
2×	`pow1/3` `pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))
3.0ms	(log (exp (cbrt x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
167.0ms	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))
24.0ms	(log (exp (cbrt x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4892	680
1	4892	680

prune110.0ms

Filtered

61 candidates to 83 candidates (-36.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Merged error: 0.8b

Counts

88 → 5

regimes103.0ms

Accuracy

27.1% (3.6b remaining)

Error of 4.5b against oracle of 0.9b and baseline of 5.8b

bsearch76.0ms

Steps

Iters	Range		Point
10	1.916015729722628e+203	1.0470236598697225e+215	5.595107226688032e+204
8	20095875945.969254	964829748628736.0	78554065061.35825

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	39
1	26	39

end0.0ms

sample1.9s

Algorithm

intervals

Results

707.0ms	1387×	body	1280	valid
361.0ms	1174×	body	640	valid
246.0ms	4373×	body	80	valid
143.0ms	708×	body	320	valid
68.0ms	236×	body	640	invalid
51.0ms	358×	body	160	valid
44.0ms	99×	body	1280	invalid
35.0ms	182×	body	320	invalid
12.0ms	96×	body	160	invalid
10.0ms	163×	body	80	invalid
8.0ms	184×	body	80	nan

Details

analyze595.0ms

sample64.0ms

simplify35.0ms

prune10.0ms

localize6.0ms

rewrite29.0ms

series48.0ms

simplify64.0ms

prune204.0ms

localize8.0ms

rewrite62.0ms

series49.0ms

simplify87.0ms

prune350.0ms

localize11.0ms

rewrite12.0ms

series235.0ms

simplify59.0ms

prune123.0ms

localize14.0ms

rewrite14.0ms

series235.0ms

simplify58.0ms

prune110.0ms

regimes103.0ms

bsearch76.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling