Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	40×	body	1280	valid
8.0ms	182×	body	80	valid
5.0ms	27×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	13×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 3.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.2b	(/ (* x (/ (sin y) y)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
7.0ms	(/ (* x (/ (sin y) y)) z)

series154.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune195.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.4b	(/ 1 (/ z (* x (/ (sin y) y))))
3.1b	(/ z (* x (/ (sin y) y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
8.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
9.0ms	(/ z (* x (/ (sin y) y)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
72.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
105.0ms	(/ z (* x (/ (sin y) y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	518	1041
1	2809	893
2	5001	852

prune252.0ms

Filtered

167 candidates to 103 candidates (61.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	168	9	177

Merged error: 0.0b

Counts

177 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
3.2b	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
18.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series498.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (/ (sin y) y))
143.0ms	(cbrt (/ (sin y) y))
134.0ms	(cbrt (/ (sin y) y))
93.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	364	1086
1	1468	885
2	5002	811

prune303.0ms

Filtered

118 candidates to 100 candidates (84.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(/ 1 (/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))))))
3.1b	(/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
68×	`add-exp-log`
62×	`cbrt-div`
50×	`associate-*r/`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`associate-/r/`
30×	`add-cbrt-cube`
26×	`cbrt-prod` `div-exp`
25×	`frac-times` `associate-*l/`
24×	`prod-exp`
15×	`associate-/r*`
13×	`cbrt-undiv`
12×	`cbrt-unprod`
8×	`div-inv`
6×	`associate-/l*`
5×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow1/3` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

4 → 176

Calls

4 calls:

3.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
24.0ms	(/ 1 (/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))))))
18.0ms	(/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

series495.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (/ (sin y) y))
134.0ms	(cbrt (/ (sin y) y))
98.0ms	(/ 1 (/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))))))
129.0ms	(/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	661	2638
1	2872	1959
2	5001	1742

prune315.0ms

Filtered

188 candidates to 105 candidates (55.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	189	8	197

Merged error: 0b

Counts

197 → 8

regimes260.0ms

Accuracy

91.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

297.0ms	987×	body	1280	valid
280.0ms	5852×	body	80	valid
203.0ms	982×	body	640	valid
91.0ms	579×	body	320	valid
32.0ms	318×	body	160	valid

Details

sample39.0ms

simplify11.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series154.0ms

simplify49.0ms

prune195.0ms

localize9.0ms

rewrite33.0ms

series258.0ms

simplify74.0ms

prune252.0ms

localize11.0ms

rewrite28.0ms

series498.0ms

simplify47.0ms

prune303.0ms

localize12.0ms

rewrite55.0ms

series495.0ms

simplify79.0ms

prune315.0ms

regimes260.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling