Details

sample1.0s

Algorithm

intervals

Results

496.0ms	286×	body	10240	exit
157.0ms	92×	body	2560	valid
63.0ms	87×	body	1280	valid
25.0ms	550×	body	80	nan
14.0ms	35×	body	640	valid
7.0ms	26×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	3×	body	80	valid

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	5002	6

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 48

Calls

4 calls:

0.0ms	(cosh a)
2.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series114.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cosh a)
56.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify151.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	269	492
1	996	462
2	4603	442
3	5001	442

prune210.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.6b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 59

Calls

4 calls:

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

series54.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify106.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	265	654
1	902	598
2	3697	588
3	5001	580

prune260.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.6b

localize18.0ms

Local error

Found 4 expressions with local error:

8.3b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

series148.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify162.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	61	413
1	114	342
2	274	337
3	731	331
4	3953	311
5	5001	311

prune292.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 59.6b

localize25.0ms

Local error

Found 4 expressions with local error:

59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 36

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))

series7.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	228
1	42	200
2	94	200
3	232	200
4	1067	200
5	5001	200

prune293.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 59.6b

regimes232.0ms

Accuracy

0% (0.3b remaining)

Error of 60.1b against oracle of 59.8b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	25	37

end0.0ms

sample22.8s

Algorithm

intervals

Results

13.9s	7968×	body	10240	exit
5.0s	3109×	body	2560	valid
1.8s	2530×	body	1280	valid
700.0ms	16010×	body	80	nan
487.0ms	1255×	body	640	valid
174.0ms	644×	body	320	valid
67.0ms	350×	body	160	valid
21.0ms	10×	body	5120	nan
11.0ms	112×	body	80	valid
5.0ms	10×	body	1280	nan
4.0ms	4×	body	2560	nan
3.0ms	8×	body	640	nan
2.0ms	12×	body	160	nan
1.0ms	6×	body	320	nan