Details

analyze6.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (65.3%)

Results

977.0ms	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify30.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
411×	`distribute-rgt-in_binary64`
374×	`fma-def_binary64`
353×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	323	20
8	664	20
9	1447	20
10	2776	20
11	4161	20

Stop Event

1×	node limit

Counts

1 → 1

prune2.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

series17.0ms (1.1%)

Counts

3 → 36

Calls

3 calls:

7.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite60.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`fma-def_binary64`
203×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`
182×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	227	50
2	3255	50

Stop Event

1×	node limit

Counts

3 → 167

Calls

3 calls:

57.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
57.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
57.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

simplify46.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

543×	`times-frac_binary64`
541×	`fma-neg_binary64`
271×	`associate-/r*_binary64`
237×	`fma-def_binary64`
204×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	772
1	296	749
2	933	730
3	3705	727

Stop Event

1×	node limit

Counts

203 → 228

prune133.0ms (8.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	227	2	229

Error

Counts

229 → 2

Alt Table

Status	Error	Program
▶	0.4b	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 4651 to 3205 computations (31.1% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x 1/4) (log.f64 x))
✓	0.2b	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))

series18.0ms (1.2%)

Counts

2 → 24

Calls

2 calls:

12.0ms	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
6.0ms	(fma.f64 x (*.f64 x 1/4) (log.f64 x))

rewrite49.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
483×	`prod-diff_binary64`
90×	`add-sqr-sqrt_binary64`
88×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	25
2	2292	25

Stop Event

1×	node limit

Counts

2 → 72

Calls

2 calls:

48.0ms	(fma.f64 x (*.f64 x 1/4) (log.f64 x))
48.0ms	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))

simplify23.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-neg_binary64`
447×	`cancel-sign-sub-inv_binary64`
278×	`associate--r-_binary64`
277×	`associate-l_binary64`
263×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	300
1	65	264
2	162	264
3	536	264
4	1731	264

Stop Event

1×	node limit

Counts

96 → 86

prune51.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Error

Counts

88 → 2

Alt Table

Status	Error	Program
✓	0.4b	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 1770 to 1178 computations (33.4% saved)

regimes44.0ms (2.8%)

Accuracy

Total 0.0b remaining (91%)

Threshold costs 0.0b (91%)

Counts

14 → 1

Compiler

Compiled 514 to 391 computations (23.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	29	20
4	31	20

Stop Event

1×

saturated

end47.0ms (3%)

Compiler: Compiled 53 to 38 computations (28.3% saved)

Details

analyze6.0ms (0.4%)

sample1.0s (65.3%)

simplify30.0ms (1.9%)

prune2.0ms (0.1%)

localize10.0ms (0.6%)

series17.0ms (1.1%)

rewrite60.0ms (3.8%)

simplify46.0ms (2.9%)

prune133.0ms (8.5%)

localize8.0ms (0.5%)

series18.0ms (1.2%)

rewrite49.0ms (3.1%)

simplify23.0ms (1.4%)

prune51.0ms (3.2%)

regimes44.0ms (2.8%)

simplify2.0ms (0.1%)

end47.0ms (3%)

Profiling