Details

sample349.0ms

Algorithm

intervals

Results

266.0ms	247×	body	10240	exit
31.0ms	68×	body	1280	valid
11.0ms	52×	body	640	valid
9.0ms	8×	body	2560	valid
5.0ms	42×	body	320	valid
5.0ms	185×	body	80	nan
3.0ms	73×	body	80	valid
1.0ms	13×	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: 37.3b

localize6.0ms

Local error

Found 1 expressions with local error:

42.6b

(fmod (cosh c) (log1p a))

rewrite0.0ms

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))

simplify101.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (3.0ms)

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: 37.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
42.6b	(fmod (cosh c) (log1p a))
42.6b	(fmod (cosh c) (log1p a))

rewrite10.0ms

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:

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))

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))

simplify104.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	100	429
1	376	372
2	2253	352
3	5001	335

prune155.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 37.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.2b	(log (fmod (cosh c) (log1p a)))
42.6b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

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

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify83.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune148.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 37.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))
1.2b	(log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))))
42.6b	(fmod (cosh c) (log1p a))
42.6b	(fmod (cosh c) (log1p a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
28×	`log-pow`
17×	`exp-prod`
16×	`sqrt-pow1` `pow1/2`
10×	`pow-prod-up`
7×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `log-prod` `pow-plus` `rem-log-exp`
1×	`exp-sum` `prod-exp` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

18.0ms	(exp (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))
5.0ms	(log (* (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))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))
19.0ms	(log (* (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))

simplify207.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	96	435
1	208	381
2	608	378
3	3450	378
4	5001	378

prune197.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 37.2b

regimes340.0ms

Accuracy

0% (0.0b remaining)

Error of 34.9b against oracle of 34.9b and baseline of 34.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3

end0.0ms

sample10.5s

Algorithm

intervals

Results

8.1s	7897×	body	10240	exit
1.1s	2349×	body	1280	valid
351.0ms	1633×	body	640	valid
164.0ms	5460×	body	80	nan
150.0ms	142×	body	2560	valid
110.0ms	811×	body	320	valid
110.0ms	2661×	body	80	valid
43.0ms	395×	body	160	valid
13.0ms	9×	body	5120	valid