Details

sample312.0ms

Algorithm

intervals

Results

231.0ms	227×	body	10240	exit
27.0ms	61×	body	1280	valid
15.0ms	66×	body	640	valid
4.0ms	161×	body	80	nan
4.0ms	79×	body	80	valid
4.0ms	29×	body	320	valid
3.0ms	2×	body	5120	valid
2.0ms	18×	body	160	valid
2.0ms	1×	body	2560	valid

simplify215.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize10.0ms

Local error

Found 1 expressions with local error:

40.9b

(fmod (cosh c) (log1p a))

rewrite0.0ms

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:

0.0ms

(fmod (cosh c) (log1p a))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(fmod (cosh c) (log1p a))

simplify97.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 1 (2.0ms)

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

prune31.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 36.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.9b	(fmod (cosh c) (log1p a))
40.9b	(fmod (cosh c) (log1p a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

13.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify102.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	96	405
1	366	348
2	2218	328
3	5001	310

prune130.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 36.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.7b	(exp (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.9b	(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:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series26.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify80.0ms

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

prune126.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 36.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.9b	(pow E (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.9b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

3.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series71.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(pow E (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify190.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	101	324
1	290	297
2	960	293
3	4564	291
4	5001	291

prune116.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 36.2b

regimes328.0ms

Accuracy

0% (0.0b remaining)

Error of 34.8b against oracle of 34.7b and baseline of 34.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13

end0.0ms

sample10.6s

Algorithm

intervals

Results

8.0s	7959×	body	10240	exit
1.0s	2292×	body	1280	valid
348.0ms	1634×	body	640	valid
170.0ms	159×	body	2560	valid
149.0ms	5386×	body	80	nan
106.0ms	2672×	body	80	valid
101.0ms	776×	body	320	valid
45.0ms	460×	body	160	valid
11.0ms	7×	body	5120	valid