Details

analyze45.0ms (2.5%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample868.0ms (48.3%)

Results

856.0ms

8256×

body

128

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess65.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

762×	`fma-neg_binary64`
504×	`fma-def_binary64`
425×	`times-frac_binary64`
376×	`div-sub_binary64`
206×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	29	24
2	55	24
3	116	24
4	271	24
5	568	20
6	1384	20
7	3080	20
8	4110	20
9	4417	20
10	4558	20
11	4596	20
12	4606	20
13	4606	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 10 to 6 computations (40% saved)

simplify50.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
448×	`times-frac_binary64`
307×	`div-sub_binary64`
143×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	331	12
6	818	10
7	2221	10
8	3129	10
9	3837	10
10	3958	10
11	4001	10
12	4011	10
13	4011	10

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series7.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(/.f64 (+.f64 f n) (-.f64 n f))	n	-inf
1.0ms	(/.f64 (+.f64 f n) (-.f64 n f))	f	0
1.0ms	(/.f64 (+.f64 f n) (-.f64 n f))	n	0
1.0ms	(/.f64 (+.f64 f n) (-.f64 n f))	f	inf
1.0ms	(/.f64 (+.f64 f n) (-.f64 n f))	f	-inf

rewrite42.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
758×	`prod-diff_binary64`
77×	`add-sqr-sqrt_binary64`
74×	`log1p-expm1-u_binary64`
73×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2291	10

Stop Event

1×	node limit

Counts

1 → 35

simplify24.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/l*_binary64`
504×	`associate-/r*_binary64`
384×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`
194×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	426
1	112	393
2	383	342
3	1549	324

Stop Event

1×	node limit

Counts

59 → 49

prune30.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.8b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 692 to 289 computations (58.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓	0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

series18.0ms (1%)

Counts

2 → 48

Calls

12 calls:

2.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)	f	inf
2.0ms	(/.f64 (-.f64 n f) (+.f64 f n))	n	0
2.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)	n	-inf
1.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)	f	-inf
1.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)	n	0

rewrite123.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
280×	`egg-rr`
171×	`log1p-udef_binary64`
98×	`add-sqr-sqrt_binary64`
94×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	189	20
2	2886	20

Stop Event

1×	node limit

Counts

2 → 280

simplify37.0ms (2%)

Algorithm

1×	egg-herbie

Rules

759×	`cancel-sign-sub-inv_binary64`
468×	`fma-neg_binary64`
269×	`distribute-neg-frac_binary64`
247×	`distribute-rgt-neg-in_binary64`
243×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	852
1	154	792
2	522	702
3	2042	651

Stop Event

1×	node limit

Counts

328 → 306

prune186.0ms (10.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	306	3	309

Error

Counts

309 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.8b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 13195 to 3861 computations (70.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	2.7b	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series19.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

2.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))	n	0
2.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))	f	inf
2.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))	f	-inf
2.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))	n	-inf
2.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))	f	0

rewrite44.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
331×	`fma-def_binary64`
155×	`expm1-udef_binary64`
155×	`log1p-udef_binary64`
148×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	165	22
2	2497	22

Stop Event

1×	node limit

Counts

2 → 73

simplify38.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

452×	`cancel-sign-sub-inv_binary64`
352×	`associate-+l+_binary64`
308×	`fma-def_binary64`
266×	`associate-+r+_binary64`
221×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	960
1	244	903
2	821	834
3	3499	828

Stop Event

1×	node limit

Counts

121 → 110

prune83.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.8b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 2431 to 1041 computations (57.2% saved)

regimes54.0ms (3%)

Accuracy

Total 0.0b remaining (31%)

Threshold costs 0.0b (31%)

Counts

21 → 1

Compiler

Compiled 618 to 465 computations (24.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	16	10
4	17	10

Stop Event

1×

saturated

end43.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 49 to 29 computations (40.8% saved)

Details

analyze45.0ms (2.5%)

sample868.0ms (48.3%)

preprocess65.0ms (3.6%)

simplify50.0ms (2.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite42.0ms (2.3%)

simplify24.0ms (1.3%)

prune30.0ms (1.7%)

localize5.0ms (0.3%)

series18.0ms (1%)

rewrite123.0ms (6.9%)

simplify37.0ms (2%)

prune186.0ms (10.3%)

localize8.0ms (0.4%)

series19.0ms (1.1%)

rewrite44.0ms (2.4%)

simplify38.0ms (2.1%)

prune83.0ms (4.6%)

regimes54.0ms (3%)

simplify2.0ms (0.1%)

end43.0ms (2.4%)

Profiling