Details

analyze102.0ms (3.8%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample930.0ms (34.5%)

Results

891.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-neg_binary64`
287×	`rules-4_binary64`
262×	`fma-def_binary64`
201×	`rules-1_binary64`
201×	`rules-33_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	39	21
2	115	21
3	503	21
4	3841	17

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0.1%)

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
	0.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))

Compiler

Compiled 97 to 64 computations (34% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
✓	0.0b	(hypot.f64 a b)
✓	0.0b	(pow.f64 (hypot.f64 a b) 4)

series66.0ms (2.5%)

Counts

3 → 72

Calls

3 calls:

30.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
27.0ms	(pow.f64 (hypot.f64 a b) 4)
9.0ms	(hypot.f64 a b)

rewrite64.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`fma-neg_binary64`
420×	`prod-diff_binary64`
178×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
124×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	241	28
2	3013	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

3 calls:

62.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
62.0ms	(hypot.f64 a b)
61.0ms	(pow.f64 (hypot.f64 a b) 4)

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

427×	`fma-def_binary64`
304×	`fma-neg_binary64`
265×	`rules-13_binary64`
251×	`rules-11_binary64`
215×	`rules-6_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	1455
1	234	1409
2	958	1319

Stop Event

1×	node limit

Counts

196 → 174

prune200.0ms (7.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	174	2	176

Error

Counts

176 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4))))
	10.7b	(+.f64 (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a)))) (fma.f64 b (*.f64 b 4) -1))

Compiler

Compiled 3571 to 2343 computations (34.4% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (*.f64 a a) 4)
✓	0.0b	(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4)))
✓	0.0b	(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4))

series37.0ms (1.4%)

Counts

3 → 60

Calls

3 calls:

17.0ms	(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4))
17.0ms	(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4)))
2.0ms	(fma.f64 2 (*.f64 a a) 4)

rewrite63.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`prod-diff_binary64`
196×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
115×	`log1p-expm1-u_binary64`
115×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	290	50
2	3512	50

Stop Event

1×	node limit

Counts

3 → 105

Calls

3 calls:

60.0ms	(fma.f64 2 (*.f64 a a) 4)
60.0ms	(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4)))
60.0ms	(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4))

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

401×	`rules-6_binary64`
363×	`rules-20_binary64`
355×	`rules-1_binary64`
289×	`rules-1-rev_binary64`
258×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	1103
1	66	939
2	277	877
3	1366	853

Stop Event

1×	node limit

Counts

165 → 127

prune145.0ms (5.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	127	2	129

Error

Counts

129 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4))))
▶	0.1b	(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (fma.f64 b b 4)) (pow.f64 a 4)))

Compiler

Compiled 3390 to 2115 computations (37.6% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (fma.f64 b b 4)) (pow.f64 a 4))

series16.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

16.0ms

(fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a 2) (fma.f64 b b 4)) (pow.f64 a 4))

rewrite45.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`fma-neg_binary64`
199×	`prod-diff_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
169×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	258	22
2	3102	22

Stop Event

1×	node limit

Counts

1 → 36

Calls

1 calls:

44.0ms

(fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a 2) (fma.f64 b b 4)) (pow.f64 a 4))

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

386×	`rules-6_binary64`
343×	`rules-20_binary64`
317×	`rules-1_binary64`
263×	`rules-1-rev_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	527
1	60	489
2	266	425
3	1311	401
4	4812	401

Stop Event

1×	node limit

Counts

60 → 48

prune51.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 a 4))))
✓	0.1b	(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (fma.f64 b b 4)) (pow.f64 a 4)))

Compiler

Compiled 1169 to 723 computations (38.2% saved)

regimes702.0ms (26%)

Accuracy

Total 0.0b remaining (47.7%)

Threshold costs 0.0b (47.7%)

Counts

120 → 1

Compiler

Compiled 12398 to 9140 computations (26.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27

Stop Event

1×

saturated

end71.0ms (2.6%)

Compiler: Compiled 83 to 58 computations (30.1% saved)

Details

analyze102.0ms (3.8%)

sample930.0ms (34.5%)

simplify54.0ms (2%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

series66.0ms (2.5%)

rewrite64.0ms (2.4%)

simplify41.0ms (1.5%)

prune200.0ms (7.4%)

localize11.0ms (0.4%)

series37.0ms (1.4%)

rewrite63.0ms (2.3%)

simplify35.0ms (1.3%)

prune145.0ms (5.4%)

localize10.0ms (0.4%)

series16.0ms (0.6%)

rewrite45.0ms (1.7%)

simplify43.0ms (1.6%)

prune51.0ms (1.9%)

regimes702.0ms (26%)

simplify2.0ms (0.1%)

end71.0ms (2.6%)

Profiling