Details

sample73.0ms

Algorithm

intervals

Results

20.0ms	39×	body	1280	valid
12.0ms	39×	body	640	valid
10.0ms	31×	body	320	valid
8.0ms	161×	body	80	valid
4.0ms	97×	body	80	nan
3.0ms	20×	body	160	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (6.0ms)

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

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: 10.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
5.3b	(pow (/ x (+ x y)) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	451	502
1	2027	479
2	5002	474

prune111.0ms

Filtered

72 candidates to 51 candidates (29.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 1.3b

Counts

73 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.9b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
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 → 116

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series108.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
29.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
35.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	977	1596
1	3500	1507
2	5002	1470

prune177.0ms

Filtered

128 candidates to 88 candidates (31.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Merged error: 0.6b

Counts

135 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.5b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
21.0ms	(cbrt x)
26.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
27.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	778	1627
1	2653	1569
2	5001	1544

prune195.0ms

Filtered

156 candidates to 103 candidates (34.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	156	5	161

Merged error: 0.6b

Counts

161 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x)
1.9b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
12.1b	(pow (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

193×	`cbrt-prod`
125×	`unpow-prod-down`
95×	`times-frac`
87×	`*-un-lft-identity`
69×	`add-sqr-sqrt` `add-cube-cbrt`
40×	`cbrt-div`
26×	`add-exp-log`
18×	`associate-/r/`
13×	`flip3-+` `flip-+`
10×	`pow-exp`
9×	`pow-unpow` `distribute-lft-out`
8×	`frac-times`
7×	`pow1` `div-exp`
5×	`prod-exp`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 185

Calls

4 calls:

1.0ms	(cbrt x)
16.0ms	(pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
13.0ms	(pow (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x)

series124.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
26.0ms	(pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x)
35.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
40.0ms	(pow (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1528	3390
1	5001	3313

prune290.0ms

Filtered

197 candidates to 156 candidates (20.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	197	5	202

Merged error: 0.6b

Counts

202 → 5

regimes100.0ms

Accuracy

32.9% (3.3b remaining)

Error of 4.2b against oracle of 1.0b and baseline of 5.8b

bsearch90.0ms

Steps

Iters	Range		Point
10	5.970029026018107e+191	2.6801430053133183e+203	1.703524521751446e+203
9	0.011476731613006191	7423.9342200737565	149.03604113969388

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	48
1	44	48

end0.0ms

sample2.2s

Algorithm

intervals

Results

769.0ms	1537×	body	1280	valid
447.0ms	1498×	body	640	valid
259.0ms	4796×	body	80	valid
169.0ms	831×	body	320	valid
126.0ms	3093×	body	80	nan
55.0ms	444×	body	160	valid

Details

sample73.0ms

simplify110.0ms

prune6.0ms

localize6.0ms

rewrite14.0ms

series22.0ms

simplify52.0ms

prune111.0ms

localize18.0ms

rewrite34.0ms

series108.0ms

simplify87.0ms

prune177.0ms

localize15.0ms

rewrite29.0ms

series96.0ms

simplify77.0ms

prune195.0ms

localize30.0ms

rewrite58.0ms

series124.0ms

simplify59.0ms

prune290.0ms

regimes100.0ms

bsearch90.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling