Details

sample325.0ms

Algorithm

intervals

Results

247.0ms	241×	body	10240	exit
33.0ms	75×	body	1280	valid
11.0ms	52×	body	640	valid
5.0ms	168×	body	80	nan
4.0ms	93×	body	80	valid
3.0ms	2×	body	2560	valid
2.0ms	19×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	14×	body	160	valid

simplify216.0ms

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: 33.3b

localize6.0ms

Local error

Found 1 expressions with local error:

37.9b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

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))

simplify97.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	49
1	24	42
2	29	42
3	36	42
4	56	42
5	115	42
6	564	42
7	1838	42
8	5001	42

prune34.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.3b

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))))
37.9b	(fmod (cosh c) (log1p a))
37.9b	(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×	`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)))
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))

series15.0ms

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

prune170.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 33.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
0.1b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`sqrt-pow1` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

18.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
3.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series62.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
55.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify48.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	233	1355
1	1058	1134
2	5001	943

prune270.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 33.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (log (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)))
1.0b	(log (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`sqrt-prod`
24×	`exp-sum`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log`
4×	`pow1` `exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`cube-mult` `unpow3` `log-pow` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

4.0ms	(exp (log (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)))
3.0ms	(log (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series142.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (log (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)))
79.0ms	(log (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify118.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	206	944
1	527	849
2	2787	830
3	5001	812

prune212.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 33.2b

regimes475.0ms

Accuracy

0% (0.0b 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	17	16
1	17	16

end0.0ms

sample10.2s

Algorithm

intervals

Results

7.8s	7708×	body	10240	exit
1.0s	2313×	body	1280	valid
345.0ms	1562×	body	640	valid
154.0ms	141×	body	2560	valid
142.0ms	5194×	body	80	nan
113.0ms	2781×	body	80	valid
99.0ms	789×	body	320	valid
38.0ms	405×	body	160	valid
16.0ms	9×	body	5120	valid