Details

analyze139.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample64.0ms (1%)

Algorithm

1×

intervals

Results

22.0ms	52×	body	1024	valid
11.0ms	148×	body	128	valid
8.0ms	25×	body	512	valid
5.0ms	22×	body	256	valid
4.0ms	9×	body	2048	valid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
358×	`fma-def_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	34	15
4	59	15
5	113	15
6	235	15
7	600	15
8	1504	15
9	2557	15
10	4582	15
11	4956	15
12	4701	15

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	27.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 36 to 33 computations (8.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite54.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`*-un-lft-identity_binary64`
75×	`add-sqr-sqrt_binary64`
64×	`add-cube-cbrt_binary64`
63×	`times-frac_binary64`
54×	`prod-diff_binary64`

Counts

3 → 149

Calls

3 calls:

19.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
8.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
5.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series70.0ms (1.1%)

Counts

3 → 20

Calls

3 calls:

39.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
28.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify233.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-neg_binary64`
409×	`cancel-sign-sub-inv_binary64`
312×	`distribute-rgt-in_binary64`
288×	`fma-def_binary64`
267×	`distribute-lft-in_binary64`

Counts

169 → 323

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	3241
1	339	3128
2	809	2722
3	2297	2604
4	4742	2603
5	4949	2603

prune294.0ms (4.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	2	324

Error

0.0b

Counts

324 → 2

Alt Table

Status	Error	Program
▶	27.0b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
	33.3b	x

Compiler

Compiled 4996 to 4552 computations (8.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 x -2)))
✓	3.8b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
✓	3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite101.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

170×	`*-un-lft-identity_binary64`
132×	`add-sqr-sqrt_binary64`
110×	`add-cube-cbrt_binary64`
108×	`prod-diff_binary64`
102×	`times-frac_binary64`

Counts

4 → 232

Calls

4 calls:

28.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
20.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
9.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
5.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

series824.0ms (12.7%)

Counts

4 → 48

Calls

4 calls:

756.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
38.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
28.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

simplify496.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-neg_binary64`
424×	`cancel-sign-sub-inv_binary64`
347×	`distribute-rgt-in_binary64`
290×	`fma-def_binary64`
179×	`associate-l_binary64`

Counts

280 → 514

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	218	5694
1	394	5496
2	891	4600
3	2482	4521
4	4749	4520
5	5010	4520

prune548.0ms (8.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	513	1	514
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	514	2	516

Error

Counts

516 → 2

Alt Table

Status	Error	Program
	33.3b	x
▶	27.0b	(expm1.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))))

Compiler

Compiled 7927 to 7324 computations (7.6% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
	0.0b	(+.f64 1 (exp.f64 (*.f64 x -2)))
	3.8b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
	3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune483.0ms (7.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	514	0	514
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	514	2	516

Error

Counts

516 → 2

Alt Table

Status	Error	Program
▶	33.3b	x
✓	27.0b	(expm1.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))))

Compiler

Compiled 8493 to 7891 computations (7.1% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune3.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	33.3b	x
✓	27.0b	(expm1.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))))

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes721.0ms (11.1%)

Accuracy

Total 0.2b remaining (67%)

Threshold costs 0.2b (67%)

Compiler

Compiled 3525 to 3245 computations (7.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	62
1	34	62
2	36	62
3	34	62

end2.0ms (0%)

Compiler: Compiled 42 to 37 computations (11.9% saved)

sample2.2s (34.6%)

Algorithm

1×

intervals

Results

928.0ms	2019×	body	1024	valid
333.0ms	4342×	body	128	valid
264.0ms	941×	body	512	valid
125.0ms	231×	body	2048	valid
85.0ms	467×	body	256	valid

Compiler

Compiled 76 to 68 computations (10.5% saved)

Details

analyze139.0ms (2.1%)

sample64.0ms (1%)

simplify78.0ms (1.2%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite54.0ms (0.8%)

series70.0ms (1.1%)

simplify233.0ms (3.6%)

prune294.0ms (4.5%)

localize18.0ms (0.3%)

rewrite101.0ms (1.6%)

series824.0ms (12.7%)

simplify496.0ms (7.7%)

prune548.0ms (8.5%)

localize23.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify33.0ms (0.5%)

prune483.0ms (7.5%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify17.0ms (0.3%)

prune3.0ms (0%)

regimes721.0ms (11.1%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample2.2s (34.6%)

Profiling