Details

analyze191.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	504	20
1	504	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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify21.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	364	10
1	364	10

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_15445`
4×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-log-exp_binary64_15462` `add-cbrt-cube_binary64_15459` `add-cube-cbrt_binary64_15458` `-un-lft-identity_binary64_15423` `associate-r*_binary64_15363`
3×	`sub-neg_binary64_15416` `cancel-sign-sub-inv_binary64_15389` `associate-l_binary64_15364`
2×	`distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372` `flip3--_binary64_15427` `associate-*r/_binary64_15365` `flip--_binary64_15398` `distribute-lft-out--_binary64_15375`
1×	`pow-prod-down_binary64_15494` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `*-commutative_binary64_15354` `diff-log_binary64_15515`

Counts

2 → 38

Calls

2 calls:

7.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(-.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 645 to 202 computations (68.7% saved)

series192.0ms (8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

101.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
79.0ms	(-.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 492 to 405 computations (17.7% saved)

simplify60.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5066	656

prune38.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Error

Counts

63 → 2

Compiler

Compiled 671 to 281 computations (58.1% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (-.f64 x y)))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) (sqrt.f64 (.f64 x (*.f64 2 (-.f64 x y)))))
6.5b	(sqrt.f64 (.f64 x (.f64 2 (-.f64 x y))))
6.5b	(sqrt.f64 (.f64 x (.f64 2 (-.f64 x y))))

rewrite209.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

148×	`pow1_binary64_15484`
80×	`pow-prod-down_binary64_15494`
66×	`sqrt-pow1_binary64_15441`
38×	`associate-*r/_binary64_15365`
17×	`pow-prod-up_binary64_15493`
16×	`sqrt-div_binary64_15440` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372`
15×	`add-sqr-sqrt_binary64_15445`
14×	`pow1/2_binary64_15503`
13×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
12×	`cancel-sign-sub-inv_binary64_15389`
11×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `pow-sqr_binary64_15396`
9×	`flip3--_binary64_15427` `flip--_binary64_15398`
7×	`associate-l_binary64_15364`
6×	`sqrt-prod_binary64_15439`
5×	`associate-r_binary64_15363`
4×	`add-log-exp_binary64_15462` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `frac-times_binary64_15433` `swap-sqr_binary64_15390` `sub-neg_binary64_15416`
2×	`associate-l/_binary64_15366` `-commutative_binary64_15354`
1×	`pow2_binary64_15504` `pow-plus_binary64_15486` `sqrt-unprod_binary64_15443` `rem-square-sqrt_binary64_15435` `unswap-sqr_binary64_15391`

Counts

4 → 138

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) (sqrt.f64 (.f64 x (*.f64 2 (-.f64 x y)))))
9.0ms	(.f64 x (.f64 2 (-.f64 x y)))
6.0ms	(sqrt.f64 (.f64 x (.f64 2 (-.f64 x y))))
6.0ms	(sqrt.f64 (.f64 x (.f64 2 (-.f64 x y))))

Compiler

Compiled 3165 to 1776 computations (43.9% saved)

series556.0ms (23.1%)

Error

Counts

4 → 50

Calls

4 calls:

205.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) (sqrt.f64 (.f64 x (*.f64 2 (-.f64 x y)))))
108.0ms	(.f64 x (.f64 2 (-.f64 x y)))
99.0ms	(sqrt.f64 (.f64 x (.f64 2 (-.f64 x y))))
94.0ms	(sqrt.f64 (.f64 x (.f64 2 (-.f64 x y))))

Compiler

Compiled 2526 to 2012 computations (20.3% saved)

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4927	2362
1	4927	2362

prune168.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	188	2	190

Error

Counts

190 → 2

Compiler

Compiled 3236 to 1832 computations (43.4% saved)

regimes259.0ms (10.8%)

Accuracy

Total 0.0b remaining (81.4%)

Threshold costs 0.0b (81.4%)

Compiler

Compiled 428 to 348 computations (18.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	13
1	36	13

end0.0ms (0%)

sample565.0ms (23.5%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	128	valid
4.0ms	159×	body	128	invalid

Compiler

Compiled 124 to 102 computations (17.7% saved)

Details

analyze191.0ms (7.9%)

sample15.0ms (0.6%)

simplify21.0ms (0.9%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite44.0ms (1.8%)

series192.0ms (8%)

simplify60.0ms (2.5%)

prune38.0ms (1.6%)

localize7.0ms (0.3%)

rewrite209.0ms (8.7%)

series556.0ms (23.1%)

simplify66.0ms (2.8%)

prune168.0ms (7%)

regimes259.0ms (10.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample565.0ms (23.5%)

Profiling