Details

analyze132.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	6	12
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
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)

sample24.0ms (1.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify7.0ms (0.4%)

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

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))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442`
3×	`add-sqr-sqrt_binary64_1464`
2×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `sqrt-div_binary64_1459`
1×	`pow1/2_binary64_1522` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `sqrt-pow1_binary64_1460` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `rem-sqrt-square_binary64_1455`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

Compiler

Compiled 159 to 56 computations (64.8% saved)

series31.0ms (1.9%)

Error

Counts

1 → 7

Calls

1 calls:

27.0ms

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

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify112.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4850	190
1	4850	190

prune17.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 170 to 73 computations (57.1% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))))
0.0b	(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
0.1b	(sqrt.f64 (/.f64 1 y))
0.3b	(*.f64 x (sqrt.f64 (/.f64 1 y)))

rewrite119.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_1464`
29×	`sqrt-prod_binary64_1458`
23×	`*-un-lft-identity_binary64_1442`
22×	`times-frac_binary64_1448`
21×	`add-cube-cbrt_binary64_1477`
17×	`associate-r_binary64_1382`
13×	`pow1_binary64_1503`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`add-log-exp_binary64_1481` `associate-l_binary64_1383`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410`
3×	`sqrt-div_binary64_1459` `associate-*r/_binary64_1384` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`
2×	`div-inv_binary64_1439` `*-commutative_binary64_1373`
1×	`pow1/2_binary64_1522` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

4 → 93

Calls

4 calls:

9.0ms	(*.f64 x (sqrt.f64 (/.f64 1 y)))
8.0ms	(.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))))
4.0ms	(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
3.0ms	(sqrt.f64 (/.f64 1 y))

Compiler

Compiled 1712 to 1170 computations (31.7% saved)

series278.0ms (16.7%)

Error

Counts

4 → 24

Calls

4 calls:

109.0ms	(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
85.0ms	(.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))))
60.0ms	(*.f64 x (sqrt.f64 (/.f64 1 y)))
12.0ms	(sqrt.f64 (/.f64 1 y))

Compiler

Compiled 740 to 587 computations (20.7% saved)

simplify92.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4853	1400
1	4853	1400

prune91.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

Counts

119 → 2

Compiler

Compiled 1703 to 1109 computations (34.9% saved)

regimes49.0ms (2.9%)

Accuracy

Total 0.0b remaining (54.3%)

Threshold costs 0.0b (54.3%)

Compiler

Compiled 174 to 146 computations (16.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

Compiler

Compiled 8 to 8 computations (0% saved)

end0.0ms (0%)

sample676.0ms (40.7%)

Algorithm

1×

intervals

Results

165.0ms	8000×	body	128	valid
4.0ms	249×	body	128	nan

Compiler

Compiled 48 to 42 computations (12.5% saved)

Details

analyze132.0ms (7.9%)

sample24.0ms (1.4%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite13.0ms (0.8%)

series31.0ms (1.9%)

simplify112.0ms (6.7%)

prune17.0ms (1%)

localize8.0ms (0.5%)

rewrite119.0ms (7.2%)

series278.0ms (16.7%)

simplify92.0ms (5.5%)

prune91.0ms (5.5%)

regimes49.0ms (2.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.4%)

end0.0ms (0%)

sample676.0ms (40.7%)

Profiling