Details

analyze57.0ms

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

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune2.0ms

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

localize4.0ms

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))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5602	942

prune49.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
0.2b	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
0.2b	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
0.8b	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

695×	`*-un-lft-identity_binary64`
510×	`cbrt-prod_binary64`
462×	`times-frac_binary64`
343×	`add-sqr-sqrt_binary64`
271×	`add-cube-cbrt_binary64`
252×	`distribute-lft-out_binary64`
117×	`swap-sqr_binary64`
108×	`distribute-rgt-out_binary64`
57×	`associate-r_binary64` `associate-l_binary64`
44×	`distribute-lft1-in_binary64` `distribute-rgt1-in_binary64`
32×	`count-2_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 450

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
9.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
9.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
67.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
41.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
43.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))
66.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))

simplify91.0ms

Algorithm

egg-herbie

Counts

462 → 462

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5289	8605

prune226.0ms

Filtered

232 candidates to 462 candidates (-99.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	462	0	462
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	462	2	464

Merged error: 0b

Counts

464 → 2

regimes90.0ms

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	6	7
1	6	7

end0.0ms

sample299.0ms

Algorithm

intervals

Results

171.0ms	8000×	body	80	valid
4.0ms	218×	body	80	invalid

Details

analyze57.0ms

sample12.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite13.0ms

series6.0ms

simplify60.0ms

prune49.0ms

localize9.0ms

rewrite136.0ms

series193.0ms

simplify91.0ms

prune226.0ms

regimes90.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample299.0ms

Profiling