Details

sample320.0ms

Algorithm

intervals

Results

239.0ms	245×	body	10240	exit
34.0ms	79×	body	1280	valid
12.0ms	55×	body	640	valid
5.0ms	179×	body	80	nan
3.0ms	2×	body	5120	valid
3.0ms	81×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	2×	body	2560	valid
1.0ms	14×	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: 35.8b

localize6.0ms

Local error

Found 1 expressions with local error:

40.4b

(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))

simplify100.0ms

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

prune32.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.4b	(fmod (cosh c) (log1p a))
40.4b	(fmod (cosh c) (log1p a))

rewrite9.0ms

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×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 63

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))

simplify105.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	96	405
1	366	348
2	2218	328
3	5001	310

prune136.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 35.8b

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)
40.4b	(fmod (cosh c) (log1p a))
40.4b	(fmod (cosh c) (log1p a))

rewrite29.0ms

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:

21.0ms	(* (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))

series64.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
57.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify54.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (39.0ms)

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

prune268.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 35.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
0.8b	(pow (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3)) (sqrt 3))
40.4b	(fmod (cosh c) (log1p a))
40.4b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
24×	`sqrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
5×	`pow-exp`
4×	`sqrt-pow1` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `sqr-pow`
2×	`pow1/2`
1×	`sqrt-pow2`

Counts

4 → 77

Calls

4 calls:

3.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
6.0ms	(pow (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3)) (sqrt 3))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series336.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
212.0ms	(pow (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3)) (sqrt 3))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	223	898
1	611	838
2	1847	838
3	5001	832

prune252.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 35.8b

regimes435.0ms

Accuracy

0% (0.1b remaining)

Error of 34.4b against oracle of 34.4b and baseline of 34.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	14	14

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.8s	7700×	body	10240	exit
1.1s	2357×	body	1280	valid
336.0ms	1534×	body	640	valid
191.0ms	173×	body	2560	valid
151.0ms	5226×	body	80	nan
114.0ms	2738×	body	80	valid
104.0ms	784×	body	320	valid
39.0ms	402×	body	160	valid
22.0ms	12×	body	5120	valid