Details

analyze581.0ms

Algorithm: search

sample66.0ms

Algorithm

intervals

Results

22.0ms	44×	body	1280	valid
15.0ms	49×	body	640	valid
8.0ms	139×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	6×	body	640	invalid
2.0ms	4×	body	1280	invalid
1.0ms	9×	body	160	valid
1.0ms	6×	body	320	invalid
0.0ms	9×	body	80	nan
0.0ms	5×	body	80	invalid
0.0ms	2×	body	160	invalid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (7.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune7.0ms

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: 10.6b

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)
6.8b	(pow (/ x (+ x y)) x)

rewrite34.0ms

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))
14.0ms	(/ (pow (/ x (+ x y)) x) x)
7.0ms	(pow (/ x (+ x y)) x)

series42.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ x (+ x y))
20.0ms	(/ (pow (/ x (+ x y)) x) x)
17.0ms	(pow (/ x (+ x y)) x)

simplify102.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	752	1628
1	3787	1586
2	5001	1586

prune210.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	7	182

Merged error: 0.9b

Counts

182 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.5b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
17.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series124.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
29.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
35.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify96.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	1015	1704
1	3622	1621
2	5001	1580

prune191.0ms

Filtered

94 candidates to 134 candidates (-42.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	136	5	141

Merged error: 0.9b

Counts

141 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.8b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
89×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `div-exp` `rem-log-exp` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
26.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
24.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	818	1733
1	2771	1676
2	5001	1652

prune213.0ms

Filtered

109 candidates to 162 candidates (-48.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	162	5	167

Merged error: 0.9b

Counts

167 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.8b	(pow (/ x (+ x y)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`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×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

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

series86.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
24.0ms	(cbrt x)
22.0ms	(cbrt x)
18.0ms	(pow (/ x (+ x y)) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	458	502
1	1828	464
2	5002	416

prune82.0ms

Filtered

59 candidates to 78 candidates (-32.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	78	5	83

Merged error: 0.9b

Counts

83 → 5

regimes106.0ms

Accuracy

26.2% (3.7b remaining)

Error of 4.4b against oracle of 0.7b and baseline of 5.7b

bsearch279.0ms

Steps

Iters	Range		Point
6	1.2823817825781323e+141	1.372617378994625e+142	1.901500712184641e+141
10	5.063975274732568	1.1319117995390295e+18	439.68707695427577

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	21
1	32	21

end0.0ms

analyze567.0ms

Algorithm: search

sample1.9s

Algorithm

intervals

Results

690.0ms	1375×	body	1280	valid
361.0ms	1191×	body	640	valid
242.0ms	4415×	body	80	valid
137.0ms	680×	body	320	valid
73.0ms	255×	body	640	invalid
52.0ms	117×	body	1280	invalid
42.0ms	339×	body	160	valid
34.0ms	171×	body	320	invalid
13.0ms	110×	body	160	invalid
9.0ms	160×	body	80	invalid
8.0ms	188×	body	80	nan

Details

analyze581.0ms

sample66.0ms

simplify117.0ms

prune7.0ms

localize6.0ms

rewrite34.0ms

series42.0ms

simplify102.0ms

prune210.0ms

localize16.0ms

rewrite40.0ms

series124.0ms

simplify96.0ms

prune191.0ms

localize16.0ms

rewrite36.0ms

series112.0ms

simplify83.0ms

prune213.0ms

localize10.0ms

rewrite12.0ms

series86.0ms

simplify52.0ms

prune82.0ms

regimes106.0ms

bsearch279.0ms

simplify2.0ms

end0.0ms

analyze567.0ms

sample1.9s

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