Details

sample360.0ms

Algorithm

intervals

Results

269.0ms	275×	body	10240	exit
35.0ms	71×	body	1280	valid
13.0ms	65×	body	640	valid
7.0ms	7×	body	2560	valid
5.0ms	179×	body	80	nan
3.0ms	82×	body	80	valid
3.0ms	24×	body	320	valid
1.0ms	7×	body	160	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	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: 36.0b

localize6.0ms

Local error

Found 1 expressions with local error:

40.7b

(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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(fmod (cosh c) (log1p a))

simplify95.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

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

5 alts after pruning (4 fresh and 1 done)

Merged error: 36.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
40.7b	(fmod (cosh c) (log1p a))

rewrite6.0ms

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:

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))

simplify81.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

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

prune133.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 35.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
40.7b	(fmod (cosh c) (log1p a))

rewrite6.0ms

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:

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))

series72.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(pow E (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify187.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	107	354
1	296	327
2	973	323
3	4649	321
4	5001	321

prune179.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 35.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
0.9b	(log (fmod (cosh c) (log1p a)))
40.7b	(fmod (cosh c) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow-unpow`
14×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `unpow-prod-down`
8×	`cube-prod`
7×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `pow-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`e-exp-1` `rem-log-exp` `rem-cube-cbrt`

Counts

4 → 84

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
5.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series108.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
48.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify33.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	200	631
1	712	578
2	5001	571

prune252.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 35.9b

regimes403.0ms

Accuracy

0% (0.0b remaining)

Error of 34.2b against oracle of 34.1b and baseline of 34.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.8s	7834×	body	10240	exit
1.0s	2351×	body	1280	valid
333.0ms	1566×	body	640	valid
147.0ms	137×	body	2560	valid
144.0ms	5297×	body	80	nan
111.0ms	2776×	body	80	valid
96.0ms	784×	body	320	valid
34.0ms	375×	body	160	valid
18.0ms	11×	body	5120	valid