Details

sample1.0s

Algorithm

intervals

Results

435.0ms	235×	body	10240	exit
159.0ms	99×	body	2560	valid
57.0ms	74×	body	1280	valid
23.0ms	546×	body	80	nan
19.0ms	47×	body	640	valid
5.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	11×	body	80	valid
0.0ms	1×	body	320	nan

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5001	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.4b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cosh a)
4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series180.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cosh a)
117.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify56.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	140	331
1	420	302
2	1559	292
3	5002	292

prune167.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.6b	(log (exp (fmod (cosh a) (* a a))))
58.4b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

5.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series122.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
6.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify194.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	135	479
1	312	424
2	956	424
3	4680	420
4	5001	420

prune215.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.5b

localize17.0ms

Local error

Found 4 expressions with local error:

8.6b	(log (exp (fmod (cosh a) (* a a))))
58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series10.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify83.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	2415	212
5	5001	212

prune233.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.5b

localize22.0ms

Local error

Found 4 expressions with local error:

58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series10.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify61.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	196
1	40	168
2	92	168
3	228	168
4	1044	168
5	5001	168

prune212.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 58.5b

regimes146.0ms

Accuracy

0% (0.4b remaining)

Error of 60.1b against oracle of 59.7b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	17	31

end0.0ms

sample22.2s

Algorithm

intervals

Results

13.2s	7616×	body	10240	exit
5.0s	3103×	body	2560	valid
1.9s	2542×	body	1280	valid
703.0ms	15980×	body	80	nan
485.0ms	1248×	body	640	valid
179.0ms	649×	body	320	valid
64.0ms	329×	body	160	valid
17.0ms	8×	body	5120	nan
12.0ms	129×	body	80	valid
8.0ms	9×	body	2560	nan
5.0ms	9×	body	1280	nan
2.0ms	6×	body	640	nan
1.0ms	6×	body	320	nan
1.0ms	4×	body	160	nan