Details

analyze64.0ms (3.1%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample738.0ms (35.9%)

Results

725.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess38.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

868×	`fma-neg_binary64`
664×	`div-sub_binary64`
422×	`times-frac_binary64`
246×	`distribute-rgt-in_binary64`
196×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	24	20
2	37	20
3	64	20
4	131	20
5	264	20
6	537	20
7	1557	20
8	3448	20
9	4724	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify40.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-neg_binary64`
369×	`fma-def_binary64`
316×	`div-sub_binary64`
272×	`times-frac_binary64`
116×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	70	10
5	120	10
6	227	10
7	446	10
8	1068	10
9	2198	10
10	2833	10
11	3116	10
12	3126	10
13	3126	10

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

series8.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

2.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	x	-inf
2.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	x	inf
2.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	x	0
1.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	y	-inf
1.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	y	0

rewrite100.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`prod-diff_binary64`
238×	`fma-def_binary64`
221×	`egg-rr`
150×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	10
2	2406	10

Stop Event

1×	node limit

Counts

1 → 221

simplify31.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

493×	`+-commutative_binary64`
479×	`associate-+l-_binary64`
438×	`cancel-sign-sub-inv_binary64`
410×	`fma-neg_binary64`
350×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	419
1	140	413
2	452	406
3	1890	396

Stop Event

1×	node limit

Counts

245 → 238

prune220.0ms (10.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	237	2	239

Error

Counts

239 → 2

Alt Table

Status	Error	Program
▶	19.2b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 2)
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 10762 to 7254 computations (32.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 2)

series74.0ms (3.6%)

Counts

2 → 32

Calls

12 calls:

26.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 2)	x	0
10.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 2)	x	-inf
9.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 2)	x	inf
5.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))	x	-inf
5.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))	x	inf

rewrite112.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`prod-diff_binary64`
273×	`egg-rr`
249×	`fma-def_binary64`
176×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	226	22
2	2855	22

Stop Event

1×	node limit

Counts

2 → 273

simplify41.0ms (2%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
526×	`times-frac_binary64`
288×	`associate-/l*_binary64`
237×	`cancel-sign-sub-inv_binary64`
178×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1104
1	475	1062
2	1803	971

Stop Event

1×	node limit

Counts

305 → 311

prune487.0ms (23.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	549	0	549
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	549	2	551

Error

Counts

551 → 2

Alt Table

Status	Error	Program
✓	19.2b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 2)
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 23924 to 16307 computations (31.8% saved)

regimes53.0ms (2.6%)

Accuracy

Total -0.0b remaining (-53.6%)

Threshold costs -0.0b (-53.6%)

Counts

16 → 1

Compiler

Compiled 539 to 385 computations (28.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`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	8	16
1	14	16
2	22	16
3	26	16
4	28	16

Stop Event

1×

saturated

end38.0ms (1.9%)

Stop Event

1×

done

Compiler

Compiled 47 to 33 computations (29.8% saved)

Details

analyze64.0ms (3.1%)

sample738.0ms (35.9%)

preprocess38.0ms (1.8%)

simplify40.0ms (1.9%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite100.0ms (4.9%)

simplify31.0ms (1.5%)

prune220.0ms (10.7%)

localize6.0ms (0.3%)

series74.0ms (3.6%)

rewrite112.0ms (5.4%)

simplify41.0ms (2%)

prune487.0ms (23.7%)

regimes53.0ms (2.6%)

simplify2.0ms (0.1%)

end38.0ms (1.9%)

Profiling