Details

sample976.0ms

Algorithm

intervals

Results

422.0ms	236×	body	10240	exit
177.0ms	108×	body	2560	valid
56.0ms	77×	body	1280	valid
26.0ms	561×	body	80	nan
15.0ms	39×	body	640	valid
6.0ms	23×	body	320	valid
2.0ms	2×	body	2560	nan
2.0ms	9×	body	160	valid

simplify49.0ms

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: 62.2b

localize11.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.8b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify85.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	166
1	76	146
2	160	146
3	411	146
4	2000	146
5	5001	146

prune98.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.9b

localize12.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

0.0ms	(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))

series7.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify109.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260

prune170.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series82.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(log (acos (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))

simplify122.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 5 (116.0ms)

Iter	Nodes	Cost
0	94	499
1	137	429
2	264	429
3	672	429
4	3314	429
5	5001	427

prune239.0ms

Filtered

62 candidates to 46 candidates (74.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))
1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

0.0ms	(log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))
0.0ms	(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))

series198.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(log1p (expm1 (log (acos (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))

simplify109.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	94	469
1	131	399
2	249	399
3	631	399
4	3037	399
5	5002	399

prune232.0ms

Filtered

59 candidates to 44 candidates (74.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.9b

regimes153.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	17	39

end0.0ms

sample23.0s

Algorithm

intervals

Results

14.1s	8147×	body	10240	exit
5.1s	3187×	body	2560	valid
1.8s	2485×	body	1280	valid
686.0ms	16058×	body	80	nan
486.0ms	1240×	body	640	valid
176.0ms	643×	body	320	valid
61.0ms	323×	body	160	valid
29.0ms	14×	body	5120	nan
12.0ms	122×	body	80	valid
9.0ms	10×	body	2560	nan
5.0ms	10×	body	1280	nan
2.0ms	11×	body	320	nan
2.0ms	6×	body	640	nan
1.0ms	7×	body	160	nan