Details

sample338.0ms

Algorithm

intervals

Results

255.0ms	251×	body	10240	exit
30.0ms	67×	body	1280	valid
10.0ms	49×	body	640	valid
6.0ms	6×	body	2560	valid
5.0ms	175×	body	80	nan
4.0ms	31×	body	320	valid
3.0ms	89×	body	80	valid
1.0ms	14×	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: 33.8b

localize10.0ms

Local error

Found 1 expressions with local error:

38.4b

(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:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify98.0ms

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

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))

rewrite18.0ms

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×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

15.0ms	(* (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))

series7.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify103.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	100	429
1	376	372
2	2253	352
3	5001	334

prune157.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 33.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 4)
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `sqrt-prod`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

4.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 4)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

series58.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 4)
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify53.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	123	426
1	338	399
2	1172	393
3	5001	390

prune244.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.8b

localize16.0ms

Local error

Found 4 expressions with local error:

38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 36

Calls

4 calls:

0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series9.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify98.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	228
1	26	200
2	31	200
3	38	200
4	58	200
5	117	200
6	567	200
7	1852	200
8	5001	200

prune206.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 33.8b

regimes273.0ms

Accuracy

0% (0.1b remaining)

Error of 33.9b against oracle of 33.9b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	15	27

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.8s	7718×	body	10240	exit
1.0s	2281×	body	1280	valid
332.0ms	1530×	body	640	valid
178.0ms	169×	body	2560	valid
145.0ms	5155×	body	80	nan
112.0ms	2814×	body	80	valid
101.0ms	803×	body	320	valid
37.0ms	395×	body	160	valid
13.0ms	8×	body	5120	valid