Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	182×	body	80	valid
12.0ms	40×	body	1280	valid
5.0ms	27×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	13×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)

rewrite19.0ms

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune177.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize8.0ms

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)))

rewrite29.0ms

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×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
8.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms	(/ z (* x (/ (sin y) y)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
71.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
99.0ms	(/ z (* x (/ (sin y) y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	508	1006
1	2791	859
2	5002	818

prune248.0ms

Filtered

159 candidates to 95 candidates (59.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	160	9	169

Merged error: 0.0b

Counts

169 → 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)

rewrite29.0ms

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` `div-exp` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
19.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series501.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (/ (sin y) y))
139.0ms	(cbrt (/ (sin y) y))
137.0ms	(cbrt (/ (sin y) y))
95.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	359	1034
1	1455	833
2	5001	759

prune304.0ms

Filtered

110 candidates to 92 candidates (83.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	110	9	119

Merged error: 0.0b

Counts

119 → 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)))))

rewrite53.0ms

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×	`add-log-exp`
2×	`frac-2neg` `pow1/3` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

4 → 168

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
21.0ms	(/ 1 (/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))))))
19.0ms	(/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (/ (sin y) y))
140.0ms	(cbrt (/ (sin y) y))
97.0ms	(/ 1 (/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))))))
135.0ms	(/ z (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	653	2565
1	2853	1886
2	5003	1663

prune294.0ms

Filtered

180 candidates to 97 candidates (53.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	181	8	189

Merged error: 0b

Counts

189 → 8

regimes265.0ms

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

283.0ms	987×	body	1280	valid
270.0ms	5852×	body	80	valid
207.0ms	982×	body	640	valid
79.0ms	579×	body	320	valid
31.0ms	318×	body	160	valid

Details

sample43.0ms

simplify10.0ms

prune2.0ms

localize7.0ms

rewrite19.0ms

series151.0ms

simplify46.0ms

prune177.0ms

localize8.0ms

rewrite29.0ms

series274.0ms

simplify85.0ms

prune248.0ms

localize11.0ms

rewrite29.0ms

series501.0ms

simplify47.0ms

prune304.0ms

localize12.0ms

rewrite53.0ms

series507.0ms

simplify85.0ms

prune294.0ms

regimes265.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling