Details

analyze822.0ms (18.2%)

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample66.0ms (1.5%)

Algorithm

1×

intervals

Results

21.0ms	53×	body	1024	valid
11.0ms	154×	body	128	valid
7.0ms	28×	body	512	valid
4.0ms	6×	body	2048	valid
3.0ms	10×	body	512	invalid
2.0ms	15×	body	256	valid
2.0ms	5×	body	1024	invalid
1.0ms	14×	body	128	invalid
1.0ms	6×	body	256	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	116	13
5	276	13
6	665	13
7	2268	13
8	4318	13
9	4902	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

10.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.5b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	8.0b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
118×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
80×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`

Counts

3 → 178

Calls

3 calls:

8.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
5.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
4.0ms	(/.f64 x (+.f64 x y))

series80.0ms (1.8%)

Counts

3 → 72

Calls

3 calls:

43.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
29.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
7.0ms	(/.f64 x (+.f64 x y))

simplify198.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

358×	`associate-/l*_binary64`
339×	`times-frac_binary64`
332×	`fma-def_binary64`
265×	`fma-neg_binary64`
253×	`associate-/r*_binary64`

Counts

250 → 376

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	7650
1	1419	7378
2	4947	7378
3	5165	7378

prune228.0ms (5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	373	3	376
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	374	3	377

Error

Counts

377 → 3

Alt Table

Status	Error	Program
	13.8b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	8.3b	(/.f64 1 x)
	10.5b	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)

Compiler

Compiled 7578 to 2964 computations (60.9% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune4.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
	13.8b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.3b	(/.f64 1 x)
▶	10.5b	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)
✓	0.0b	(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
	0.0b	(/.f64 x (+.f64 x y))
	8.0b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
115×	`log-pow_binary64`
110×	`exp-prod_binary64`
109×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`

Counts

2 → 157

Calls

2 calls:

11.0ms	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)
7.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))

series143.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

85.0ms	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)
57.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))

simplify190.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

310×	`fma-def_binary64`
289×	`associate-/l*_binary64`
230×	`associate-+r+_binary64`
227×	`times-frac_binary64`
209×	`associate-r_binary64`

Counts

205 → 397

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	610	6983
1	1376	6753
2	4975	6749
3	5124	6749

prune241.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	576	0	576
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	576	3	579

Error

Counts

579 → 3

Alt Table

Status	Error	Program
▶	13.8b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.3b	(/.f64 1 x)
✓	10.5b	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)

Compiler

Compiled 12666 to 4743 computations (62.6% saved)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	13.8b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.3b	(/.f64 1 x)
✓	10.5b	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) x)

Compiler

Compiled 25 to 17 computations (32% saved)

regimes191.0ms (4.2%)

Accuracy

Total 0.4b remaining (79.3%)

Threshold costs 0.4b (79.3%)

Compiler

Compiled 1496 to 882 computations (41% saved)

bsearch48.0ms (1.1%)

Steps

Iters	Range		Point
5	6.21733188820938e-9	2.1070888287444602e-8	2.0664577613658626e-8
6	-1.2878081946447334e+42	-1.0044231460978812e+33	-1.3253362937137794e+33

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	23	26
2	25	26
3	26	26
4	25	26

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample2.1s (47.2%)

Algorithm

1×

intervals

Results

761.0ms	1713×	body	1024	valid
323.0ms	4522×	body	128	valid
282.0ms	1034×	body	512	valid
123.0ms	171×	body	2048	valid
98.0ms	560×	body	256	valid
81.0ms	185×	body	1024	invalid
65.0ms	242×	body	512	invalid
25.0ms	132×	body	256	invalid
18.0ms	229×	body	128	invalid
11.0ms	207×	body	128	nan

Compiler

Compiled 60 to 42 computations (30% saved)

Details

analyze822.0ms (18.2%)

sample66.0ms (1.5%)

simplify53.0ms (1.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite35.0ms (0.8%)

series80.0ms (1.8%)

simplify198.0ms (4.4%)

prune228.0ms (5%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify10.0ms (0.2%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite33.0ms (0.7%)

series143.0ms (3.2%)

simplify190.0ms (4.2%)

prune241.0ms (5.3%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

regimes191.0ms (4.2%)

bsearch48.0ms (1.1%)

simplify7.0ms (0.2%)

end1.0ms (0%)

sample2.1s (47.2%)

Profiling