Details

analyze751.0ms (25.3%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.7s (57.8%)

Results

649.0ms	5903×	body	128	valid
280.0ms	870×	body	1024	valid
195.0ms	506×	body	2048	valid
169.0ms	634×	body	512	valid
150.0ms	1341×	body	128	invalid
78.0ms	303×	body	512	invalid
71.0ms	212×	body	1024	invalid
66.0ms	341×	body	256	valid
40.0ms	215×	body	256	invalid
1.0ms	2×	body	4096	valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

preprocess33.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

925×	`fma-neg_binary64`
476×	`fma-def_binary64`
298×	`cancel-sign-sub_binary64`
285×	`sub-neg_binary64`
192×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
1	96	58
2	319	52
3	953	28
4	2478	28
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 18 to 9 computations (50% saved)

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

430×	`unsub-neg_binary64`
302×	`distribute-rgt-out_binary64`
293×	`distribute-rgt-out--_binary64`
291×	`fma-def_binary64`
229×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	16
2	89	13
3	256	7
4	696	7
5	2325	7
6	4054	7
7	4488	7
8	4972	7

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
	14.9b	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))

series6.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(*.f64 y (-.f64 x z))	y	-inf
1.0ms	(*.f64 y (-.f64 x z))	x	-inf
1.0ms	(*.f64 y (-.f64 x z))	z	inf
1.0ms	(*.f64 y (-.f64 x z))	x	inf
1.0ms	(*.f64 y (-.f64 x z))	y	0

rewrite40.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
124×	`log1p-udef_binary64`
68×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1762	7

Stop Event

1×	node limit

Counts

1 → 21

simplify26.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-def_binary64`
126×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
32×	`distribute-rgt-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Stop Event

1×

saturated

Counts

57 → 27

prune12.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

0.0b

Counts

29 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 259 to 108 computations (58.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.4%)

Counts

1 → 18

Calls

9 calls:

4.0ms	(-.f64 (.f64 y x) (.f64 y z))	y	-inf
1.0ms	(-.f64 (.f64 y x) (.f64 y z))	y	0
1.0ms	(-.f64 (.f64 y x) (.f64 y z))	y	inf
1.0ms	(-.f64 (.f64 y x) (.f64 y z))	x	-inf
1.0ms	(-.f64 (.f64 y x) (.f64 y z))	x	0

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
78×	`add-cbrt-cube_binary64`
77×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2284	7

Stop Event

1×	node limit

Counts

1 → 55

simplify21.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

143×	`fma-def_binary64`
90×	`fma-neg_binary64`
33×	`unsub-neg_binary64`
31×	`cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Stop Event

1×

saturated

Counts

73 → 60

prune24.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
▶	0.0b	(fma.f64 y x (*.f64 z (neg.f64 y)))

Compiler

Compiled 885 to 227 computations (74.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 z (neg.f64 y)))

series8.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(fma.f64 y x (*.f64 z (neg.f64 y)))	y	inf
1.0ms	(fma.f64 y x (*.f64 z (neg.f64 y)))	y	0
1.0ms	(fma.f64 y x (*.f64 z (neg.f64 y)))	y	-inf
1.0ms	(fma.f64 y x (*.f64 z (neg.f64 y)))	x	-inf
1.0ms	(fma.f64 y x (*.f64 z (neg.f64 y)))	x	inf

rewrite58.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log1p-expm1-u_binary64`
554×	`expm1-log1p-u_binary64`
312×	`log-prod_binary64`
206×	`prod-diff_binary64`
149×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	8
2	1825	8

Stop Event

1×	node limit

Counts

1 → 149

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

165×	`fma-def_binary64`
93×	`fma-neg_binary64`
33×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`
26×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	240
1	34	240
2	73	240
3	161	240
4	296	240
5	459	240
6	592	240
7	678	240
8	680	240

Stop Event

1×

saturated

Counts

185 → 156

prune67.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Error

Counts

158 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(fma.f64 y x (*.f64 z (neg.f64 y)))

Compiler

Compiled 4034 to 1110 computations (72.5% saved)

regimes32.0ms (1.1%)

Accuracy

Total 0.0b remaining (73.6%)

Threshold costs 0.0b (73.6%)

Counts

7 → 1

Compiler

Compiled 320 to 192 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	22	10
3	28	10
4	31	10
5	32	10

Stop Event

1×

saturated

end36.0ms (1.2%)

Stop Event

1×

done

Compiler

Compiled 38 to 23 computations (39.5% saved)

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Iter	Nodes	Cost
0	14	240
1	34	240
2	73	240
3	161	240
4	296	240
5	459	240
6	592	240
7	678	240
8	680	240

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Iter	Nodes	Cost
0	14	240
1	34	240
2	73	240
3	161	240
4	296	240
5	459	240
6	592	240
7	678	240
8	680	240

Details

analyze751.0ms (25.3%)

sample1.7s (57.8%)

preprocess33.0ms (1.1%)

simplify39.0ms (1.3%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

series6.0ms (0.2%)

rewrite40.0ms (1.3%)

simplify26.0ms (0.9%)

prune12.0ms (0.4%)

localize4.0ms (0.1%)

series10.0ms (0.4%)

rewrite46.0ms (1.5%)

simplify21.0ms (0.7%)

prune24.0ms (0.8%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite58.0ms (2%)

simplify24.0ms (0.8%)

prune67.0ms (2.3%)

regimes32.0ms (1.1%)

simplify2.0ms (0.1%)

end36.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Iter	Nodes	Cost
0	14	240
1	34	240
2	73	240
3	161	240
4	296	240
5	459	240
6	592	240
7	678	240
8	680	240