Details

analyze488.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

sample63.0ms

Algorithm

intervals

Results

33.0ms	78×	body	1280	valid
12.0ms	52×	body	640	valid
4.0ms	86×	body	80	valid
4.0ms	25×	body	320	valid
2.0ms	15×	body	160	valid

simplify655.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4819	8
1	4819	8

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 1 (exp.f64 x))
33.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4972	368
1	4972	368

prune20.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0b

Counts

35 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (pow.f64 (exp.f64 x) 3))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
4.5b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `pow-pow_binary64`
7×	`unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64` `difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-rgt-out--_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 76

Calls

4 calls:

6.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))
3.0ms	(pow.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 3)
6.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series100.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))
18.0ms	(pow.f64 (exp.f64 x) 2)
27.0ms	(pow.f64 (exp.f64 x) 3)
26.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify94.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4982	865
1	4982	865

prune65.0ms

Filtered

56 candidates to 88 candidates (-57.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Merged error: 0b

Counts

90 → 2

regimes10.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

827.0ms	2235×	body	1280	valid
391.0ms	1678×	body	640	valid
135.0ms	2862×	body	80	valid
126.0ms	808×	body	320	valid
44.0ms	417×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze488.0ms

sample63.0ms

simplify655.0ms

prune7.0ms

localize7.0ms

rewrite11.0ms

series40.0ms

simplify79.0ms

prune20.0ms

localize11.0ms

rewrite21.0ms

series100.0ms

simplify94.0ms

prune65.0ms

regimes10.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling