Details

sample92.0ms

Algorithm

intervals

Results

32.0ms	101×	body	1280	valid
20.0ms	105×	body	640	valid
15.0ms	258×	body	80	valid
5.0ms	36×	body	320	valid
1.0ms	14×	body	160	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1781	4
8	4989	4
9	5001	4

prune3.0ms

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (sin y) y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

4.0ms

(/ (sin y) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ (sin y) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	105	143
1	343	133
2	1352	133
3	5001	133

prune50.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (sin y) (/ 1 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

9.0ms

(* (sin y) (/ 1 y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (sin y) (/ 1 y))

simplify116.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	198	189
1	859	159
2	4975	141
3	5003	141

prune46.0ms

Filtered

25 candidates to 39 candidates (-56.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	38	8	46

Merged error: 0.0b

Counts

46 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.4b	(/ 1 (/ y (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ y (sin y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	338	717
1	1539	631
2	5002	557

prune87.0ms

Filtered

58 candidates to 109 candidates (-87.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	106	11	117

Merged error: 0b

Counts

117 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))
0.4b	(/ 1 (* y (/ 1 (sin y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
16×	`prod-exp`
13×	`associate-r`
10×	`rec-exp` `1-exp`
9×	`pow1`
6×	`cbrt-undiv` `associate-/l*`
4×	`associate-/r*` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `associate-/r/` `un-div-inv` `inv-pow`
1×	`*-commutative`

Counts

3 → 107

Calls

3 calls:

3.0ms	(/ 1 (sin y))
7.0ms	(* y (/ 1 (sin y)))
7.0ms	(/ 1 (* y (/ 1 (sin y))))

series13.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1 (sin y))
5.0ms	(* y (/ 1 (sin y)))
4.0ms	(/ 1 (* y (/ 1 (sin y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	339	534
1	1564	429
2	5001	386

prune68.0ms

Filtered

55 candidates to 116 candidates (-110.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	3	4	7
Picked	0	1	1
Done	0	3	3
Total	118	9	127

Merged error: 0b

Counts

127 → 9

regimes269.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.8s

Algorithm

intervals

Results

962.0ms	2991×	body	1280	valid
512.0ms	2508×	body	640	valid
404.0ms	8473×	body	80	valid
169.0ms	1194×	body	320	valid
59.0ms	602×	body	160	valid

Details

sample92.0ms

simplify87.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series4.0ms

simplify45.0ms

prune50.0ms

localize7.0ms

rewrite10.0ms

series4.0ms

simplify116.0ms

prune46.0ms

localize10.0ms

rewrite13.0ms

series11.0ms

simplify42.0ms

prune87.0ms

localize8.0ms

rewrite20.0ms

series13.0ms

simplify43.0ms

prune68.0ms

regimes269.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

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