Details

analyze40.0ms (2.9%)

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

Compiler

Compiled 5 to 5 computations (0% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	7×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify99.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune2.0ms (0.2%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `sqrt-prod_binary64_776`
3×	`add-sqr-sqrt_binary64_782`
2×	`add-cube-cbrt_binary64_795` `sqrt-div_binary64_777` `pow1_binary64_821`
1×	`rem-sqrt-square_binary64_773` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `add-exp-log_binary64_798` `sqrt-pow1_binary64_778` `add-log-exp_binary64_799` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `pow1/2_binary64_840`

Counts

1 → 16

Calls

1 calls:

8.0ms

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

series23.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify56.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5462	236

prune12.0ms (0.8%)

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

Error

Counts

20 → 2

Compiler

Compiled 198 to 86 computations (56.6% saved)

localize7.0ms (0.5%)

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))

rewrite25.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
18×	`cbrt-prod_binary64_791`
16×	`sqrt-prod_binary64_776`
12×	`add-cube-cbrt_binary64_795`
10×	`associate-r_binary64_700`
8×	`cbrt-div_binary64_792`
7×	`pow1_binary64_821`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `add-log-exp_binary64_799` `sqrt-div_binary64_777` `flip-+_binary64_734`
3×	`pow1/3_binary64_842` `unswap-sqr_binary64_728` `associate-l_binary64_701`
2×	`rem-sqrt-square_binary64_773` `sqrt-pow1_binary64_778` `associate-*r/_binary64_702`
1×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow1/2_binary64_840` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

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))

series582.0ms (41%)

Counts

4 → 12

Calls

4 calls:

212.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
137.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
121.0ms	(cbrt.f64 (+.f64 x y))
112.0ms	(cbrt.f64 (+.f64 x y))

simplify75.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4905	1503
1	4905	1503

prune62.0ms (4.3%)

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

Error

Counts

92 → 2

Compiler

Compiled 1587 to 415 computations (73.9% saved)

regimes38.0ms (2.7%)

Accuracy

Total 0.0b remaining (31%)

Threshold costs 0.0b (31%)

Compiler

Compiled 146 to 94 computations (35.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample373.0ms (26.3%)

Algorithm

1×

intervals

Results

166.0ms	8000×	body	128	valid
5.0ms	267×	body	128	nan

Compiler

Compiled 41 to 29 computations (29.3% saved)

Details

analyze40.0ms (2.9%)

sample11.0ms (0.8%)

simplify99.0ms (7%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

rewrite9.0ms (0.6%)

series23.0ms (1.6%)

simplify56.0ms (3.9%)

prune12.0ms (0.8%)

localize7.0ms (0.5%)

rewrite25.0ms (1.8%)

series582.0ms (41%)

simplify75.0ms (5.3%)

prune62.0ms (4.3%)

regimes38.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample373.0ms (26.3%)

Profiling