Details

analyze206.0ms (20.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1030	26
1	1030	26
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
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify32.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	564	13
1	564	13

prune4.0ms (0.4%)

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

Counts

2 → 2

Compiler

Compiled 29 to 26 computations (10.3% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

rewrite8.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cancel-sign-sub-inv_binary64_1408` `add-log-exp_binary64_1481`
2×	`associate--l+_binary64_1379` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
1×	`add-cbrt-cube_binary64_1478` `sub-neg_binary64_1435` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `pow1_binary64_1503`

Counts

1 → 16

Calls

1 calls:

7.0ms

(-.f64 (*.f64 y (+.f64 x -1/2)) x)

series21.0ms (2%)

Counts

1 → 3

Calls

1 calls:

21.0ms

(-.f64 (*.f64 y (+.f64 x -1/2)) x)

simplify40.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5013	240

prune15.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Compiler

Compiled 270 to 186 computations (31.1% saved)

localize7.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
0.0b	(*.f64 x (-.f64 y 1))

rewrite19.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1464`
13×	`cancel-sign-sub-inv_binary64_1408`
11×	`*-un-lft-identity_binary64_1442`
8×	`associate--l+_binary64_1379` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `add-cube-cbrt_binary64_1477`
7×	`associate-r_binary64_1382`
5×	`sub-neg_binary64_1435`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`associate-l_binary64_1383`
2×	`associate-*r/_binary64_1384` `flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411`
1×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `difference-of-sqr-1_binary64_1412` `diff-log_binary64_1534` `prod-exp_binary64_1491` `distribute-lft-out--_binary64_1394` `unswap-sqr_binary64_1410`

Counts

2 → 52

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 y 1))
7.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

series40.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(*.f64 x (-.f64 y 1))
18.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

simplify79.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	584
1	4922	584

prune41.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Error

Counts

60 → 2

Compiler

Compiled 828 to 557 computations (32.7% saved)

regimes38.0ms (3.7%)

Accuracy

Total 0.0b remaining (86.3%)

Threshold costs 0.0b (86.3%)

Compiler

Compiled 124 to 116 computations (6.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample449.0ms (44%)

Algorithm

1×

intervals

Results

235.0ms	7998×	body	128	valid
2.0ms	71×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 41 to 39 computations (4.9% saved)

Details

analyze206.0ms (20.2%)

sample14.0ms (1.3%)

simplify32.0ms (3.1%)

prune4.0ms (0.4%)

localize6.0ms (0.6%)

rewrite8.0ms (0.8%)

series21.0ms (2%)

simplify40.0ms (3.9%)

prune15.0ms (1.4%)

localize7.0ms (0.7%)

rewrite19.0ms (1.8%)

series40.0ms (3.9%)

simplify79.0ms (7.7%)

prune41.0ms (4%)

regimes38.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample449.0ms (44%)

Profiling