Details

analyze73.0ms (2.8%)

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)

sample21.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	9×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify164.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_1403` `sqrt-prod_binary64_1419`
3×	`add-sqr-sqrt_binary64_1425`
2×	`pow1_binary64_1464` `sqrt-div_binary64_1420` `add-cube-cbrt_binary64_1438`
1×	`flip3-+_binary64_1406` `add-exp-log_binary64_1441` `flip-+_binary64_1377` `pow1/2_binary64_1483` `add-cbrt-cube_binary64_1439` `add-log-exp_binary64_1442` `sqrt-pow1_binary64_1421` `rem-sqrt-square_binary64_1416` `distribute-lft-out_binary64_1354`

Counts

1 → 16

Calls

2 calls:

6.0ms	(sqrt.f64 (+.f64 x y))
0.0ms	(sqrt.f64 (+.f64 x y))

series81.0ms (3.1%)

Counts

1 → 11

Calls

1 calls:

81.0ms

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

Compiler

Compiled 204 to 184 computations (9.8% saved)

simplify106.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4935	326
1	4935	326

prune36.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Compiler

Compiled 258 to 135 computations (47.7% saved)

localize19.0ms (0.8%)

Local error

Found 6 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 (/.f64 1 x)))
0.1b	(sqrt.f64 (/.f64 1 x))
0.0b	(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
0.0b	(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
0.1b	(sqrt.f64 (/.f64 1 x))
0.2b	(*.f64 y (sqrt.f64 (/.f64 1 x)))

rewrite52.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1425`
29×	`sqrt-prod_binary64_1419`
22×	`times-frac_binary64_1409`
21×	`*-un-lft-identity_binary64_1403`
19×	`add-cube-cbrt_binary64_1438`
16×	`associate-r_binary64_1343`
7×	`pow1_binary64_1464`
5×	`add-exp-log_binary64_1441` `add-cbrt-cube_binary64_1439` `add-log-exp_binary64_1442`
4×	`unswap-sqr_binary64_1371`
3×	`associate-l_binary64_1344` `sqrt-pow1_binary64_1421` `rem-sqrt-square_binary64_1416`
2×	`div-inv_binary64_1400` `sqrt-div_binary64_1420`
1×	`flip3-+_binary64_1406` `pow-flip_binary64_1477` `prod-exp_binary64_1452` `associate-r/_binary64_1345` `+-commutative_binary64_1333` `inv-pow_binary64_1488` `flip-+_binary64_1377` `pow1/2_binary64_1483` `sum-log_binary64_1494` `pow-prod-down_binary64_1474` `-commutative_binary64_1334` `cbrt-unprod_binary64_1436`

Counts

3 → 74

Calls

6 calls:

17.0ms	(*.f64 y (sqrt.f64 (/.f64 1 x)))
8.0ms	(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
5.0ms	(sqrt.f64 (/.f64 1 x))
0.0ms	(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
0.0ms	(*.f64 y (sqrt.f64 (/.f64 1 x)))

series323.0ms (12.5%)

Counts

3 → 18

Calls

3 calls:

182.0ms	(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
119.0ms	(*.f64 y (sqrt.f64 (/.f64 1 x)))
22.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 372 to 333 computations (10.5% saved)

simplify145.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4887	1090
1	4887	1090

prune140.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Error

0.0b

Counts

94 → 2

Compiler

Compiled 1366 to 886 computations (35.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	63
1	50	63

regimes120.0ms (4.6%)

Accuracy

Total 0.0b remaining (36.4%)

Threshold costs 0.0b (36.4%)

Compiler

Compiled 194 to 202 computations (-4.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample1.3s (49.3%)

Algorithm

1×

intervals

Results

313.0ms	8000×	body	128	valid
8.0ms	228×	body	128	nan

Compiler

Compiled 137 to 142 computations (-3.6% saved)

Pareto

0.019639354338051845

Details

analyze73.0ms (2.8%)

sample21.0ms (0.8%)

simplify164.0ms (6.4%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

rewrite8.0ms (0.3%)

series81.0ms (3.1%)

simplify106.0ms (4.1%)

prune36.0ms (1.4%)

localize19.0ms (0.8%)

rewrite52.0ms (2%)

series323.0ms (12.5%)

simplify145.0ms (5.6%)

prune140.0ms (5.4%)

simplify5.0ms (0.2%)

regimes120.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (49.3%)

Profiling