Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	85×	body	1280	valid
0.0hr	127×	body	80	valid
0.0hr	30×	body	640	valid
0.0hr	7×	body	320	valid
0.0hr	7×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 18.2b

Counts

2 → 1

localize0.0hr

Local error

Found 2 expressions with local error:

0.0b	(atan (+ N 1.0))
2.0b	(- (atan (+ N 1.0)) (atan N))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `flip3--` `diff-log` `diff-atan` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 22

Calls

2 calls:

0.0hr	(atan (+ N 1.0))
0.0hr	(- (atan (+ N 1.0)) (atan N))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(atan (+ N 1.0))
0.0hr	(- (atan (+ N 1.0)) (atan N))

simplify0.0hr

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	75	154
1	145	145
2	289	143
3	681	142
4	2447	142
5	5001	142

prune0.0hr

Filtered

28 candidates to 19 candidates (32.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.7b

Counts

29 → 3

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (* (+ N 1.0) N))
0.0b	(* (+ N 1.0) N)
0.7b	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

0.0hr	(+ 1 (* (+ N 1.0) N))
0.0hr	(* (+ N 1.0) N)
0.0hr	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(+ 1 (* (+ N 1.0) N))
0.0hr	(* (+ N 1.0) N)
0.0hr	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

simplify0.0hr

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	177	222
1	766	193
2	4572	193
3	5001	193

prune0.0hr

Filtered

48 candidates to 32 candidates (33.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.7b

Counts

51 → 8

localize0.0hr

Local error

Found 4 expressions with local error:

0.7b	(atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))
13.7b	(cbrt (* (+ N 1.0) N))
13.7b	(cbrt (* (+ N 1.0) N))
13.7b	(cbrt (* (+ N 1.0) N))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 40

Calls

4 calls:

0.0hr	(atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))
0.0hr	(cbrt (* (+ N 1.0) N))
0.0hr	(cbrt (* (+ N 1.0) N))
0.0hr	(cbrt (* (+ N 1.0) N))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))
0.0hr	(cbrt (* (+ N 1.0) N))
0.0hr	(cbrt (* (+ N 1.0) N))
0.0hr	(cbrt (* (+ N 1.0) N))

simplify0.0hr

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	207	623
1	572	575
2	1929	533
3	5001	525

prune0.0hr

Filtered

52 candidates to 47 candidates (9.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	52	8	60

Merged error: 0.7b

Counts

60 → 8

localize0.0hr

Local error

Found 4 expressions with local error:

0.7b	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))
0.7b	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))
12.4b	(sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
12.4b	(sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 40

Calls

4 calls:

0.0hr	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))
0.0hr	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))
0.0hr	(sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
0.0hr	(sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))
0.0hr	(atan2 1.0 (+ 1 (* (+ N 1.0) N)))
0.0hr	(sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
0.0hr	(sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))

simplify0.0hr

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	49	332
1	79	294
2	159	294
3	330	292
4	1184	292
5	5001	292

prune0.0hr

Filtered

52 candidates to 34 candidates (34.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	1	0	1
Done	0	3	3
Total	52	8	60

Merged error: 0.7b

Counts

60 → 8

regimes0.0hr

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	2884×	body	1280	valid
0.0hr	4046×	body	80	valid
0.0hr	591×	body	640	valid
0.0hr	299×	body	320	valid
0.0hr	180×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling