Details

sample357.0ms

Algorithm

intervals

Results

277.0ms	271×	body	10240	exit
30.0ms	69×	body	1280	valid
12.0ms	56×	body	640	valid
6.0ms	4×	body	2560	valid
6.0ms	186×	body	80	nan
4.0ms	94×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	13×	body	160	valid

simplify219.0ms

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: 32.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
37.5b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

1.0ms	(cosh c)
0.0ms	(fmod (cosh c) (log1p a))

series47.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify139.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	76	89
1	159	79
2	542	71
3	3481	69
4	5001	69

prune66.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
37.5b	(fmod (cosh c) (log1p a))
37.5b	(fmod (cosh c) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
7.0ms	(* (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))

series16.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fmod (cosh c) (log1p a)))
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

88 → 88

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	96	486
1	366	425
2	2218	405
3	5001	387

prune186.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 32.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (fmod (cosh c) (log1p a))))
0.2b	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 5)
37.5b	(fmod (cosh c) (log1p a))
37.5b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 5)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series115.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (sqrt (fmod (cosh c) (log1p a))))
69.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 5)
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify160.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (154.0ms)

Iter	Nodes	Cost
0	123	492
1	317	459
2	972	457
3	4172	451
4	5001	449

prune233.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5))
0.5b	(pow (pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5)) (sqrt 5))
37.5b	(fmod (cosh c) (log1p a))
37.5b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `pow-unpow` `sqrt-prod`
7×	`add-exp-log`
5×	`pow1` `pow-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
1×	`pow1/3`

Counts

4 → 73

Calls

4 calls:

3.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5))
6.0ms	(pow (pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5)) (sqrt 5))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series321.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5))
200.0ms	(pow (pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5)) (sqrt 5))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	226	888
1	645	850
2	2128	843
3	5001	824

prune257.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 32.9b

regimes569.0ms

Accuracy

0% (0.1b remaining)

Error of 34.5b against oracle of 34.3b and baseline of 34.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	17	17

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7827×	body	10240	exit
1.0s	2327×	body	1280	valid
348.0ms	1604×	body	640	valid
172.0ms	158×	body	2560	valid
142.0ms	5211×	body	80	nan
114.0ms	2730×	body	80	valid
102.0ms	769×	body	320	valid
39.0ms	403×	body	160	valid
15.0ms	9×	body	5120	valid