Details

analyze662.0ms (24.1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample52.0ms (1.9%)

Algorithm

1×

intervals

Results

12.0ms	190×	body	128	valid
7.0ms	31×	body	1024	valid
5.0ms	17×	body	2048	valid
3.0ms	45×	body	128	invalid
2.0ms	14×	body	512	valid
2.0ms	12×	body	512	invalid
1.0ms	6×	body	1024	invalid
1.0ms	5×	body	256	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify359.0ms (13.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	5795	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_9648`
7×	`*-un-lft-identity_binary64_9626`
6×	`cancel-sign-sub-inv_binary64_9592`
5×	`add-cube-cbrt_binary64_9661` `associate-r_binary64_9566`
4×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
3×	`associate-l_binary64_9567` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
2×	`sub-neg_binary64_9619` `associate-*r/_binary64_9568`
1×	`flip3--_binary64_9630` `add-log-exp_binary64_9665` `prod-exp_binary64_9675` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `pow-prod-down_binary64_9697` `*-commutative_binary64_9557` `flip--_binary64_9601` `unswap-sqr_binary64_9594` `cbrt-unprod_binary64_9659`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

series39.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(*.f64 y (-.f64 x z))

simplify60.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5688	314

prune26.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Compiler

Compiled 311 to 78 computations (74.9% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x z) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

rewrite38.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_9648`
11×	`associate-l_binary64_9567`
9×	`*-un-lft-identity_binary64_9626` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
7×	`sqrt-prod_binary64_9642` `add-cube-cbrt_binary64_9661` `associate-r_binary64_9566`
4×	`associate-*l/_binary64_9569` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
2×	`flip3--_binary64_9630` `add-log-exp_binary64_9665` `-commutative_binary64_9557` `flip--_binary64_9601` `unswap-sqr_binary64_9594` `associate-r/_binary64_9568`
1×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`

Counts

2 → 49

Calls

2 calls:

19.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
13.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))

series89.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

45.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
44.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5116	641

prune54.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 691 to 174 computations (74.8% saved)

regimes67.0ms (2.5%)

Accuracy

Total 0.0b remaining (59.6%)

Threshold costs 0.0b (59.6%)

Compiler

Compiled 216 to 176 computations (18.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample1.2s (43.8%)

Algorithm

1×

intervals

Results

273.0ms	5874×	body	128	valid
142.0ms	813×	body	1024	valid
106.0ms	491×	body	2048	valid
67.0ms	509×	body	512	valid
62.0ms	1376×	body	128	invalid
37.0ms	288×	body	512	invalid
32.0ms	197×	body	1024	invalid
27.0ms	313×	body	256	valid
16.0ms	178×	body	256	invalid

Compiler

Compiled 71 to 58 computations (18.3% saved)

Details

analyze662.0ms (24.1%)

sample52.0ms (1.9%)

simplify359.0ms (13.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite9.0ms (0.3%)

series39.0ms (1.4%)

simplify60.0ms (2.2%)

prune26.0ms (1%)

localize12.0ms (0.4%)

rewrite38.0ms (1.4%)

series89.0ms (3.2%)

simplify66.0ms (2.4%)

prune54.0ms (2%)

regimes67.0ms (2.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.2s (43.8%)

Profiling