Details

analyze773.0ms (24.4%)

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)

sample49.0ms (1.5%)

Algorithm

1×

intervals

Results

12.0ms	190×	body	128	valid
7.0ms	31×	body	1024	valid
5.0ms	17×	body	2048	valid
3.0ms	52×	body	128	invalid
2.0ms	14×	body	512	valid
2.0ms	9×	body	512	invalid
1.0ms	4×	body	1024	invalid
0.0ms	4×	body	256	valid
0.0ms	3×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify348.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	5044	7

prune6.0ms (0.2%)

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)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_9989`
7×	`*-un-lft-identity_binary64_9967`
6×	`cancel-sign-sub-inv_binary64_9933`
5×	`associate-r_binary64_9907` `add-cube-cbrt_binary64_10002`
4×	`distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917`
3×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `add-exp-log_binary64_10005` `pow1_binary64_10028`
2×	`sub-neg_binary64_9960` `associate-*r/_binary64_9909`
1×	`flip--_binary64_9942` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `flip3--_binary64_9971` `difference-of-squares_binary64_9936` `pow-prod-down_binary64_10038` `add-log-exp_binary64_10006` `unswap-sqr_binary64_9935` `distribute-lft-out--_binary64_9919` `*-commutative_binary64_9898`

Counts

1 → 30

Calls

1 calls:

13.0ms

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

series38.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5688	314

prune33.0ms (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)

localize6.0ms (0.2%)

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)))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_9989`
11×	`associate-l_binary64_9908`
9×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005` `*-un-lft-identity_binary64_9967` `pow1_binary64_10028`
7×	`associate-r_binary64_9907` `add-cube-cbrt_binary64_10002` `sqrt-prod_binary64_9983`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-*l/_binary64_9910` `pow-prod-down_binary64_10038`
2×	`flip--_binary64_9942` `flip3--_binary64_9971` `add-log-exp_binary64_10006` `unswap-sqr_binary64_9935` `associate-r/_binary64_9909` `-commutative_binary64_9898`
1×	`difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919`

Counts

2 → 49

Calls

2 calls:

13.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
8.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))

series94.0ms (3%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
38.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

simplify101.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5116	641

prune63.0ms (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)

regimes93.0ms (2.9%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Compiler

Compiled 216 to 176 computations (18.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample1.5s (46.1%)

Algorithm

1×

intervals

Results

350.0ms	5875×	body	128	valid
168.0ms	814×	body	1024	valid
126.0ms	489×	body	2048	valid
93.0ms	1566×	body	128	invalid
79.0ms	507×	body	512	valid
35.0ms	315×	body	256	valid
31.0ms	198×	body	512	invalid
30.0ms	147×	body	1024	invalid
13.0ms	128×	body	256	invalid

Compiler

Compiled 71 to 58 computations (18.3% saved)

Details

analyze773.0ms (24.4%)

sample49.0ms (1.5%)

simplify348.0ms (11%)

prune6.0ms (0.2%)

localize8.0ms (0.2%)

rewrite16.0ms (0.5%)

series38.0ms (1.2%)

simplify52.0ms (1.7%)

prune33.0ms (1%)

localize6.0ms (0.2%)

rewrite24.0ms (0.8%)

series94.0ms (3%)

simplify101.0ms (3.2%)

prune63.0ms (2%)

regimes93.0ms (2.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (46.1%)

Profiling