Details

sample347.0ms

Algorithm

intervals

Results

258.0ms	251×	body	10240	exit
39.0ms	84×	body	1280	valid
10.0ms	46×	body	640	valid
7.0ms	6×	body	2560	valid
6.0ms	183×	body	80	nan
4.0ms	89×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	14×	body	160	valid

simplify223.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3

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: 34.2b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

38.9b

(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify103.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	49
1	24	42
2	29	42
3	36	42
4	56	42
5	115	42
6	564	42
7	1838	42
8	5001	42

prune36.0ms

Filtered

10 candidates to 7 candidates (70.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	5	5	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	6	11

Merged error: 34.2b

Counts

11 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
38.9b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series25.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify87.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	55	234
1	81	206
2	103	200
3	150	194
4	295	194
5	724	194
6	2472	194
7	5001	194

prune116.0ms

Filtered

43 candidates to 23 candidates (53.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	34	9	43
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	36	13	49

Merged error: 34.2b

Counts

49 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
38.9b	(fmod (cosh c) (log1p a))
38.9b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series16.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (fmod (cosh c) (log1p a)))
2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify106.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	96	486
1	366	425
2	2218	405
3	5001	387

prune181.0ms

Filtered

88 candidates to 42 candidates (47.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	83	18	101

Merged error: 34.2b

Counts

101 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
0.1b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
38.9b	(fmod (cosh c) (log1p a))
38.9b	(fmod (cosh c) (log1p a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`sqrt-pow1` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
4.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series68.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
61.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify51.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	233	1355
1	1058	1134
2	5001	943

prune199.0ms

Filtered

137 candidates to 55 candidates (40.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	2	14	16
Picked	1	0	1
Done	1	0	1
Total	136	19	155

Merged error: 34.1b

Counts

155 → 19

regimes369.0ms

Accuracy

0% (0.0b remaining)

Error of 34.4b against oracle of 34.3b and baseline of 34.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	13	19

end0.0ms

sample10.0s

Algorithm

intervals

Results

7.6s	7551×	body	10240	exit
1.1s	2337×	body	1280	valid
345.0ms	1583×	body	640	valid
169.0ms	150×	body	2560	valid
154.0ms	5039×	body	80	nan
123.0ms	2741×	body	80	valid
104.0ms	767×	body	320	valid
42.0ms	418×	body	160	valid
6.0ms	4×	body	5120	valid