Details

analyze146.0ms (13.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	7	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5232`
1×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `sum-log_binary64_5284` `flip-+_binary64_5167` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231` `+-commutative_binary64_5123` `flip3-+_binary64_5196` `add-sqr-sqrt_binary64_5215` `pow1_binary64_5254`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

series21.0ms (2%)

Counts

1 → 3

Calls

1 calls:

21.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

simplify83.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4921	193
1	4921	193

prune10.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Error

0.0b

Counts

15 → 2

Compiler

Compiled 181 to 49 computations (72.9% saved)

localize6.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
6.5b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
6.5b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite34.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_5215`
24×	`sqrt-prod_binary64_5209`
21×	`pow1_binary64_5254`
16×	`sqrt-div_binary64_5210`
14×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
10×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211`
9×	`flip-+_binary64_5167` `flip3-+_binary64_5196`
8×	`swap-sqr_binary64_5160`
6×	`add-cbrt-cube_binary64_5229` `associate-l_binary64_5134` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `associate-r_binary64_5133`
5×	`pow-prod-up_binary64_5263`
4×	`frac-times_binary64_5203` `rem-sqrt-square_binary64_5206` `unswap-sqr_binary64_5161`
3×	`pow-prod-down_binary64_5264` `pow-sqr_binary64_5166`
2×	`associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow-plus_binary64_5256` `sum-log_binary64_5284` `pow2_binary64_5274` `*-commutative_binary64_5124` `+-commutative_binary64_5123` `rem-square-sqrt_binary64_5205` `prod-exp_binary64_5242` `sqrt-unprod_binary64_5213` `cbrt-unprod_binary64_5226` `sqr-abs_binary64_5208`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series93.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
24.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
23.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
20.0ms	(+.f64 (.f64 x x) (.f64 y y))

simplify88.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4963	1615
1	4963	1615

prune73.0ms (6.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Error

0.0b

Counts

113 → 2

Compiler

Compiled 2072 to 366 computations (82.3% saved)

regimes50.0ms (4.7%)

Accuracy

Total 0.0b remaining (35.8%)

Threshold costs 0.0b (35.8%)

Compiler

Compiled 330 to 170 computations (48.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample427.0ms (40.1%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 75 to 41 computations (45.3% saved)

Details

analyze146.0ms (13.6%)

sample13.0ms (1.2%)

simplify7.0ms (0.6%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite5.0ms (0.5%)

series21.0ms (2%)

simplify83.0ms (7.8%)

prune10.0ms (0.9%)

localize6.0ms (0.6%)

rewrite34.0ms (3.2%)

series93.0ms (8.7%)

simplify88.0ms (8.2%)

prune73.0ms (6.8%)

regimes50.0ms (4.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.5%)

end0.0ms (0%)

sample427.0ms (40.1%)

Profiling