Details

analyze552.0ms (25.8%)

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

sample31.0ms (1.4%)

Algorithm

1×

intervals

Results

6.0ms	177×	body	80	valid
5.0ms	30×	body	1280	valid
2.0ms	20×	body	640	valid
2.0ms	11×	body	2560	valid
2.0ms	46×	body	80	invalid
1.0ms	8×	body	640	invalid
1.0ms	10×	body	320	valid
1.0ms	9×	body	160	invalid
1.0ms	8×	body	160	valid
0.0ms	3×	body	1280	invalid
0.0ms	4×	body	320	invalid

simplify228.0ms (10.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (225.0ms)

Iter	Nodes	Cost
0	5123	5

prune7.0ms (0.3%)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

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

series9.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify68.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune28.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Merged error: 0b

Counts

28 → 2

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x z))
0.0b	(sqrt.f64 (-.f64 x z))
0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))
0.2b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

rewrite32.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

12.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
10.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
3.0ms	(sqrt.f64 (-.f64 x z))
3.0ms	(sqrt.f64 (-.f64 x z))

series58.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
13.0ms	(sqrt.f64 (-.f64 x z))
12.0ms	(sqrt.f64 (-.f64 x z))
10.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

simplify35.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5116	936

prune89.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

regimes115.0ms (5.4%)

Accuracy

Total 0.0b remaining (17%)

Threshold costs 0.0b (17%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms (0%)

sample863.0ms (40.4%)

Algorithm

1×

intervals

Results

212.0ms	5739×	body	80	valid
135.0ms	825×	body	1280	valid
85.0ms	675×	body	640	valid
42.0ms	1198×	body	80	invalid
38.0ms	369×	body	320	valid
36.0ms	195×	body	2560	valid
31.0ms	251×	body	640	invalid
21.0ms	226×	body	320	invalid
17.0ms	109×	body	1280	invalid
13.0ms	197×	body	160	valid
10.0ms	145×	body	160	invalid

Details

analyze552.0ms (25.8%)

sample31.0ms (1.4%)

simplify228.0ms (10.7%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite7.0ms (0.3%)

series9.0ms (0.4%)

simplify68.0ms (3.2%)

prune28.0ms (1.3%)

localize6.0ms (0.3%)

rewrite32.0ms (1.5%)

series58.0ms (2.7%)

simplify35.0ms (1.7%)

prune89.0ms (4.2%)

regimes115.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample863.0ms (40.4%)

Profiling