Details

sample362.0ms

Algorithm

intervals

Results

282.0ms	271×	body	10240	exit
30.0ms	69×	body	1280	valid
13.0ms	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

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: 32.9b

localize7.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def`

Counts

2 → 19

Calls

2 calls:

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

series47.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify150.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	82	99
1	173	89
2	590	81
3	3626	79
4	5001	79

prune83.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.9b

localize9.0ms

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))

rewrite10.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 84

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (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))

simplify105.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	102	520
1	378	459
2	2255	439
3	5001	421

prune224.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 60

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))

series114.0ms

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

72 → 72

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	129	534
1	323	501
2	981	499
3	4223	493
4	5001	493

prune283.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.9b

localize18.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
1×	`pow1/3`

Counts

4 → 81

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))

series310.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 5))
196.0ms	(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))

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	232	940
1	651	902
2	2137	895
3	5002	876

prune310.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 32.9b

regimes589.0ms

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

sample10.4s

Algorithm

intervals

Results

7.9s	7827×	body	10240	exit
1.0s	2327×	body	1280	valid
354.0ms	1604×	body	640	valid
174.0ms	158×	body	2560	valid
147.0ms	5211×	body	80	nan
109.0ms	2730×	body	80	valid
99.0ms	769×	body	320	valid
38.0ms	403×	body	160	valid
15.0ms	9×	body	5120	valid