Details

sample332.0ms

Algorithm

intervals

Results

247.0ms	237×	body	10240	exit
42.0ms	89×	body	1280	valid
10.0ms	47×	body	640	valid
5.0ms	158×	body	80	nan
4.0ms	84×	body	80	valid
3.0ms	3×	body	2560	valid
3.0ms	21×	body	320	valid
1.0ms	12×	body	160	valid

simplify221.0ms

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: 35.0b

localize6.0ms

Local error

Found 1 expressions with local error:

39.7b

(fmod (cosh c) (log1p a))

rewrite1.0ms

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:

1.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify99.0ms

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

prune43.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 35.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (fmod (cosh c) (log1p a)))
0.0b	(expm1 (log1p (fmod (cosh c) (log1p a))))
39.7b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 31

Calls

3 calls:

1.0ms	(log1p (fmod (cosh c) (log1p a)))
1.0ms	(expm1 (log1p (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series60.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(log1p (fmod (cosh c) (log1p a)))
33.0ms	(expm1 (log1p (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify114.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	47	196
1	59	170
2	66	168
3	75	168
4	108	168
5	202	168
6	757	168
7	2497	168
8	5001	168

prune102.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 35.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (exp (log (fmod (cosh c) (log1p a))))))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.4b	(log (fmod (cosh c) (log1p a)))
39.7b	(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×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`expm1-log1p` `rem-log-exp` `rem-exp-log` `expm1-udef`

Counts

4 → 51

Calls

4 calls:

1.0ms	(expm1 (log1p (exp (log (fmod (cosh c) (log1p a))))))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series59.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(expm1 (log1p (exp (log (fmod (cosh c) (log1p a))))))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify84.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	73	324
1	101	289
2	124	281
3	172	273
4	317	273
5	755	273
6	2524	273
7	5001	273

prune214.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 35.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.6b	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.4b	(log (fmod (cosh c) (log1p a)))
39.7b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`exp-prod`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 77

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
5.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series61.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
2.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify129.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	141	511
1	444	461
2	2963	456
3	5001	456

prune257.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 35.0b

regimes507.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	11

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7797×	body	10240	exit
1.1s	2349×	body	1280	valid
357.0ms	1635×	body	640	valid
173.0ms	152×	body	2560	valid
160.0ms	5291×	body	80	nan
120.0ms	2743×	body	80	valid
96.0ms	729×	body	320	valid
38.0ms	384×	body	160	valid
14.0ms	8×	body	5120	valid