Details

sample385.0ms

Algorithm

intervals

Results

291.0ms	265×	body	10240	exit
36.0ms	74×	body	1280	valid
11.0ms	43×	body	640	valid
10.0ms	166×	body	80	nan
7.0ms	96×	body	80	valid
5.0ms	5×	body	2560	valid
4.0ms	28×	body	320	valid
1.0ms	10×	body	160	valid

simplify229.0ms

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	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize7.0ms

Local error

Found 1 expressions with local error:

37.3b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

0.0ms

(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

12 → 12

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50

prune39.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
37.3b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series25.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify89.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune137.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
37.3b	(fmod (cosh c) (log1p a))

rewrite4.0ms

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` `expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series71.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(log (fmod (cosh c) (log1p a)))
49.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify208.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	108	348
1	291	299
2	977	295
3	4952	281
4	5001	281

prune160.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (cbrt (fmod (cosh c) (log1p a))))
0.7b	(pow E (+ (* 2 (log (cbrt (fmod (cosh c) (log1p a))))) (log (cbrt (fmod (cosh c) (log1p a))))))
37.3b	(fmod (cosh c) (log1p a))
37.3b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `pow-unpow` `log-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `log-pow`
2×	`distribute-rgt-out` `pow-exp`
1×	`unpow-prod-up` `pow-to-exp` `e-exp-1` `pow-pow` `distribute-lft1-in` `pow1/3` `rem-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

1.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
4.0ms	(pow E (+ (* 2 (log (cbrt (fmod (cosh c) (log1p a))))) (log (cbrt (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series176.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
105.0ms	(pow E (+ (* 2 (log (cbrt (fmod (cosh c) (log1p a))))) (log (cbrt (fmod (cosh c) (log1p a))))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify69.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	148	626
1	429	567
2	1788	514
3	5001	405

prune228.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 32.8b

regimes390.0ms

Accuracy

0% (0.0b remaining)

Error of 34.5b against oracle of 34.5b and baseline of 34.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample11.1s

Algorithm

intervals

Results

8.3s	7867×	body	10240	exit
1.1s	2308×	body	1280	valid
405.0ms	1609×	body	640	valid
247.0ms	5256×	body	80	nan
201.0ms	2720×	body	80	valid
147.0ms	135×	body	2560	valid
128.0ms	812×	body	320	valid
56.0ms	410×	body	160	valid
11.0ms	6×	body	5120	valid