Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	315×	body	80	valid
0.0ms	1×	body	640	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune9.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

9.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify27.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	159	148
1	838	127
2	5002	127

prune39.0ms

Filtered

17 candidates to 28 candidates (-64.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 37.0 (+ d3 d2)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* d1 (+ 37.0 (+ d3 d2)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ 37.0 (+ d3 d2)))

simplify91.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	146	117
1	739	103
2	4443	103
3	5002	103

prune32.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ (+ d3 5.0) 32.0))
0.0b	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

8.0ms	(* d1 (+ (+ d3 5.0) 32.0))
5.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* d1 (+ (+ d3 5.0) 32.0))
8.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	237	231
1	1186	203
2	5001	201

prune47.0ms

Filtered

30 candidates to 44 candidates (-46.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Merged error: 0.0b

Counts

47 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 37.0 (+ d3 d2)))
0.0b	(sqrt (+ 37.0 (+ d3 d2)))
0.2b	(* d1 (sqrt (+ 37.0 (+ d3 d2))))
0.2b	(* (* d1 (sqrt (+ 37.0 (+ d3 d2)))) (sqrt (+ 37.0 (+ d3 d2))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ 37.0 (+ d3 d2)))
5.0ms	(sqrt (+ 37.0 (+ d3 d2)))
8.0ms	(* d1 (sqrt (+ 37.0 (+ d3 d2))))
17.0ms	(* (* d1 (sqrt (+ 37.0 (+ d3 d2)))) (sqrt (+ 37.0 (+ d3 d2))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ 37.0 (+ d3 d2)))
7.0ms	(sqrt (+ 37.0 (+ d3 d2)))
15.0ms	(* d1 (sqrt (+ 37.0 (+ d3 d2))))
7.0ms	(* (* d1 (sqrt (+ 37.0 (+ d3 d2)))) (sqrt (+ 37.0 (+ d3 d2))))

simplify47.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	364	741
1	1542	662
2	5001	644

prune127.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample638.0ms

Algorithm

intervals

Results

350.0ms	10018×	body	80	valid
3.0ms	21×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	14×	body	160	valid
1.0ms	9×	body	320	valid

Details

sample23.0ms

simplify12.0ms

prune9.0ms

localize6.0ms

rewrite10.0ms

series7.0ms

simplify27.0ms

prune39.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify91.0ms

prune32.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify41.0ms

prune47.0ms

localize8.0ms

rewrite38.0ms

series35.0ms

simplify47.0ms

prune127.0ms

regimes176.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample638.0ms

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