Details

analyze40.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

sample12.0ms (1.3%)

Algorithm

1×

intervals

Results

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

simplify5.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune5.0ms (0.5%)

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

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt.f64 (+.f64 x y))

series9.0ms (1%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(sqrt.f64 (+.f64 x y))

simplify32.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5079	150

prune26.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

localize6.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
0.3b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite22.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
16×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
8×	`cbrt-div_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `flip-+_binary64` `sqrt-div_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
4.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series174.0ms (18.8%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
40.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
37.0ms	(cbrt.f64 (+.f64 x y))
35.0ms	(cbrt.f64 (+.f64 x y))

simplify61.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4886	922
1	4886	922

prune88.0ms (9.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0b

Counts

92 → 2

regimes139.0ms (15%)

Accuracy

Total 0.0b remaining (32%)

Threshold costs 0.0b (32%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample298.0ms (32.2%)

Algorithm

1×

intervals

Results

165.0ms	8000×	body	80	valid
5.0ms	288×	body	80	nan

Details

analyze40.0ms (4.3%)

sample12.0ms (1.3%)

simplify5.0ms (0.5%)

prune5.0ms (0.5%)

localize3.0ms (0.3%)

rewrite4.0ms (0.4%)

series9.0ms (1%)

simplify32.0ms (3.4%)

prune26.0ms (2.8%)

localize6.0ms (0.7%)

rewrite22.0ms (2.4%)

series174.0ms (18.8%)

simplify61.0ms (6.5%)

prune88.0ms (9.5%)

regimes139.0ms (15%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample298.0ms (32.2%)

Profiling