Details

analyze61.0ms

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
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
39×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
28×	`distribute-lft-out_binary64`
15×	`distribute-rgt-out_binary64`
12×	`associate-/r*_binary64`
5×	`count-2_binary64` `distribute-lft1-in_binary64` `distribute-rgt1-in_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 80

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

simplify61.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5602	942

prune53.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (/.f64 (+.f64 x y) 2))
0.1b	(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

591×	`times-frac_binary64`
365×	`*-un-lft-identity_binary64`
269×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
69×	`associate-/r*_binary64`
48×	`distribute-lft-out_binary64`
28×	`add-exp-log_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 322

Calls

2 calls:

8.0ms	(/.f64 y (/.f64 (+.f64 x y) 2))
16.0ms	(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 y (/.f64 (+.f64 x y) 2))
6.0ms	(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))

simplify84.0ms

Algorithm

egg-herbie

Counts

328 → 328

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4984	5052
1	4984	5052

prune219.0ms

Filtered

194 candidates to 328 candidates (-69.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	329	2	331

Merged error: 0b

Counts

331 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
0.0b	(*.f64 1/2 (/.f64 x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

3.0ms	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
7.0ms	(*.f64 1/2 (/.f64 x y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
4.0ms	(*.f64 1/2 (/.f64 x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4900	362
1	4900	362

prune37.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Merged error: 0b

Counts

51 → 2

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample326.0ms

Algorithm

intervals

Results

186.0ms	8000×	body	80	valid
4.0ms	184×	body	80	invalid

Details

analyze61.0ms

sample13.0ms

simplify6.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series6.0ms

simplify61.0ms

prune53.0ms

localize8.0ms

rewrite49.0ms

series13.0ms

simplify84.0ms

prune219.0ms

localize5.0ms

rewrite12.0ms

series8.0ms

simplify62.0ms

prune37.0ms

regimes91.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample326.0ms

Profiling