Details

sample318.0ms

Algorithm

intervals

Results

233.0ms	236×	body	10240	exit
35.0ms	81×	body	1280	valid
10.0ms	45×	body	640	valid
7.0ms	5×	body	2560	valid
5.0ms	39×	body	320	valid
5.0ms	165×	body	80	nan
3.0ms	68×	body	80	valid
2.0ms	1×	body	5120	valid
2.0ms	17×	body	160	valid

simplify215.0ms

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: 38.7b

localize10.0ms

Local error

Found 1 expressions with local error:

43.8b

(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))

simplify96.0ms

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

prune33.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 38.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.8b	(exp (log (fmod (cosh c) (log1p a))))
43.8b	(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×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series28.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify80.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	55	234
1	81	206
2	103	200
3	150	194
4	295	194
5	724	194
6	2472	194
7	5001	194

prune111.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 38.6b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
6×	`pow1`
5×	`add-log-exp`
4×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
3×	`unpow-prod-down` `pow-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

3.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series141.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify119.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	97	662
1	260	589
2	858	583
3	3857	579
4	5002	579

prune237.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 38.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow-pow`
7×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity`
6×	`pow1`
4×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down`
1×	`pow-to-exp` `pow-unpow` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 43

Calls

4 calls:

4.0ms	(pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series139.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify70.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	93	580
1	270	528
2	795	528
3	2652	528
4	5001	528

prune184.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 38.6b

regimes498.0ms

Accuracy

0% (0.0b remaining)

Error of 33.8b against oracle of 33.8b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18

end0.0ms

sample10.4s

Algorithm

intervals

Results

8.0s	7908×	body	10240	exit
1.0s	2255×	body	1280	valid
333.0ms	1522×	body	640	valid
178.0ms	162×	body	2560	valid
149.0ms	5324×	body	80	nan
116.0ms	2828×	body	80	valid
102.0ms	805×	body	320	valid
39.0ms	415×	body	160	valid
21.0ms	13×	body	5120	valid