Details

sample375.0ms

Algorithm

intervals

Results

286.0ms	288×	body	10240	exit
34.0ms	77×	body	1280	valid
11.0ms	53×	body	640	valid
9.0ms	34×	body	320	valid
7.0ms	7×	body	2560	valid
5.0ms	178×	body	80	nan
3.0ms	77×	body	80	valid
1.0ms	8×	body	160	valid

simplify224.0ms

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: 36.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
41.6b	(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))

series53.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify141.0ms

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

prune79.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 36.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
41.6b	(fmod (cosh c) (log1p a))
41.6b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `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` `cosh-def` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 79

Calls

4 calls:

0.0ms	(cosh c)
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))

series55.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cosh c)
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))

simplify139.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	157	471
1	581	411
2	3253	381
3	5001	363

prune219.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 36.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))))
41.6b	(fmod (cosh c) (log1p a))
41.6b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube` `unswap-sqr`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `cosh-def` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 104

Calls

4 calls:

8.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series56.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify40.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	238	686
1	921	505
2	5001	465

prune286.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 36.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cosh c))
0.0b	(cbrt (cosh c))
41.6b	(fmod (cosh c) (log1p a))
41.6b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `cosh-def` `pow1/3`

Counts

4 → 46

Calls

4 calls:

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

series308.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (cosh c))
154.0ms	(cbrt (cosh c))
2.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

simplify142.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (137.0ms)

Iter	Nodes	Cost
0	111	354
1	214	314
2	609	224
3	3242	224
4	5001	222

prune207.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 36.4b

regimes330.0ms

Accuracy

0% (0.1b 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	16	18
1	16	18

end0.0ms

sample10.1s

Algorithm

intervals

Results

7.7s	7662×	body	10240	exit
1.0s	2252×	body	1280	valid
350.0ms	1645×	body	640	valid
165.0ms	147×	body	2560	valid
139.0ms	5169×	body	80	nan
110.0ms	2774×	body	80	valid
99.0ms	774×	body	320	valid
37.0ms	400×	body	160	valid
13.0ms	8×	body	5120	valid