Details

analyze63.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample23.0ms

Algorithm

intervals

Results

10.0ms	233×	body	80	valid
3.0ms	11×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	80	invalid
0.0ms	1×	body	80	overflowed

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5682	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 44

Calls

3 calls:

4.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+.f64 1 (exp.f64 x))
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
9.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5082	482

prune28.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Merged error: 0b

Counts

54 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
14×	`log-prod_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`sqrt-div_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `log-div_binary64` `flip-+_binary64`
2×	`rem-log-exp_binary64` `rem-sqrt-square_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
13.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5141	712

prune44.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0b

Counts

86 → 2

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample670.0ms

Algorithm

intervals

Results

320.0ms	7272×	body	80	valid
81.0ms	273×	body	640	valid
77.0ms	138×	body	1280	valid
34.0ms	187×	body	320	valid
14.0ms	130×	body	160	valid
3.0ms	54×	body	80	invalid
0.0ms	9×	body	80	overflowed

Details

analyze63.0ms

sample23.0ms

simplify124.0ms

prune6.0ms

localize7.0ms

rewrite15.0ms

series20.0ms

simplify48.0ms

prune28.0ms

localize9.0ms

rewrite19.0ms

series34.0ms

simplify60.0ms

prune44.0ms

regimes63.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample670.0ms

Profiling