Details

analyze34.0ms (2.5%)

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)

sample16.0ms (1.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify159.0ms (11.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune2.0ms (0.1%)

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

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))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_767` `sqrt-prod_binary64_783`
3×	`add-sqr-sqrt_binary64_789`
2×	`pow1_binary64_828` `add-cube-cbrt_binary64_802` `sqrt-div_binary64_784`
1×	`distribute-lft-out_binary64_718` `rem-sqrt-square_binary64_780` `add-exp-log_binary64_805` `add-log-exp_binary64_806` `flip-+_binary64_741` `pow1/2_binary64_847` `flip3-+_binary64_770` `sqrt-pow1_binary64_785` `add-cbrt-cube_binary64_803`

Counts

1 → 16

Calls

1 calls:

4.0ms

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

series44.0ms (3.2%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify67.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5261	236

prune14.0ms (1%)

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

Compiler

Compiled 213 to 95 computations (55.4% saved)

localize5.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))

rewrite46.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`sqrt-prod_binary64_783`
64×	`add-sqr-sqrt_binary64_789`
41×	`*-un-lft-identity_binary64_767` `sqrt-pow1_binary64_785`
34×	`sqrt-div_binary64_784`
32×	`pow1_binary64_828`
21×	`pow1/2_binary64_847` `add-cube-cbrt_binary64_802`
18×	`swap-sqr_binary64_734`
13×	`rem-sqrt-square_binary64_780`
10×	`associate-l_binary64_708` `associate-r_binary64_707`
9×	`unswap-sqr_binary64_735` `distribute-lft-out_binary64_718` `pow-prod-up_binary64_837` `flip-+_binary64_741` `flip3-+_binary64_770`
6×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
5×	`pow-prod-down_binary64_838` `pow-sqr_binary64_740`
4×	`frac-times_binary64_777` `sqr-abs_binary64_782` `add-log-exp_binary64_806`
2×	`associate-r/_binary64_709` `associate-l/_binary64_710`
1×	`pow2_binary64_848` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `rem-square-sqrt_binary64_779` `*-commutative_binary64_698` `sqrt-unprod_binary64_787`

Counts

4 → 152

Calls

4 calls:

19.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
4.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
4.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 x y))

series412.0ms (29.6%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
157.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
53.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
42.0ms	(sqrt.f64 (+.f64 x y))

simplify70.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5036	1953

prune107.0ms (7.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Merged error: 0b

Counts

166 → 2

Compiler

Compiled 2248 to 548 computations (75.6% saved)

regimes33.0ms (2.4%)

Compiler: Compiled 78 to 62 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample372.0ms (26.7%)

Algorithm

1×

intervals

Results

173.0ms	8000×	body	128	valid
5.0ms	241×	body	128	nan

Compiler

Compiled 24 to 21 computations (12.5% saved)

Details

analyze34.0ms (2.5%)

sample16.0ms (1.2%)

simplify159.0ms (11.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series44.0ms (3.2%)

simplify67.0ms (4.8%)

prune14.0ms (1%)

localize5.0ms (0.4%)

rewrite46.0ms (3.3%)

series412.0ms (29.6%)

simplify70.0ms (5.1%)

prune107.0ms (7.7%)

regimes33.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample372.0ms (26.7%)

Profiling