Details

analyze522.0ms (17.5%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (37.9%)

Results

1.0s	8256×	body	128	valid
104.0ms	944×	body	128	invalid

Compiler

Compiled 34 to 26 computations (23.5% saved)

preprocess50.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

588×	`fma-def_binary64`
308×	`distribute-rgt-in_binary64`
281×	`fma-neg_binary64`
248×	`div-sub_binary64`
227×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	70	68
2	179	60
3	503	60
4	1217	60
5	2859	52
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 16 to 12 computations (25% saved)

simplify36.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
598×	`times-frac_binary64`
477×	`fma-def_binary64`
280×	`distribute-rgt-in_binary64`
277×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	142	15
4	342	15
5	737	11
6	1441	11
7	2689	11
8	4492	11

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (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
	0.2b	(fma.f64 (/.f64 4 y) (-.f64 x z) 4)
▶	0.1b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))

Compiler

Compiled 78 to 57 computations (26.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
✓	0.1b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)

series30.0ms (1%)

Counts

2 → 72

Calls

18 calls:

6.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)	x	inf
6.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)	x	-inf
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)	z	0
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)	x	0
2.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)	z	inf

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`fma-def_binary64`
260×	`fma-neg_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`
154×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	252	22
2	3664	22

Stop Event

1×	node limit

Counts

2 → 154

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

928×	`fma-def_binary64`
588×	`fma-neg_binary64`
384×	`times-frac_binary64`
264×	`cancel-sign-sub-inv_binary64`
226×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	771
1	72	663
2	149	606
3	258	604
4	481	604
5	906	601
6	1764	601
7	2902	601

Stop Event

1×	node limit

Counts

226 → 177

prune137.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	177	2	179

Error

Counts

179 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 1 (fma.f64 -4 (/.f64 (-.f64 z x) y) 3))
▶	0.0b	(+.f64 1 (-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y))))

Compiler

Compiled 3400 to 2233 computations (34.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y)))
✓	0.0b	(*.f64 4 (/.f64 z y))
✓	0.0b	(*.f64 4 (/.f64 x y))

series27.0ms (0.9%)

Counts

3 → 27

Calls

21 calls:

2.0ms	(*.f64 4 (/.f64 z y))	z	-inf
2.0ms	(-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y)))	x	-inf
2.0ms	(-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y)))	z	inf
2.0ms	(-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y)))	x	inf
2.0ms	(-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y)))	z	-inf

rewrite69.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`
241×	`fma-neg_binary64`
139×	`add-sqr-sqrt_binary64`
136×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	282	31
2	3979	31

Stop Event

1×	node limit

Counts

3 → 99

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
499×	`fma-def_binary64`
301×	`cancel-sign-sub-inv_binary64`
119×	`distribute-rgt-in_binary64`
86×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	292
1	45	292
2	90	290
3	155	254
4	281	254
5	473	254
6	786	254
7	1199	254
8	1772	254
9	2700	254
10	3288	254
11	3334	254
12	3348	254
13	3353	254
14	3357	254

Stop Event

1×

saturated

Counts

126 → 112

prune80.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 1 (fma.f64 -4 (/.f64 (-.f64 z x) y) 3))
✓	0.0b	(+.f64 1 (-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y))))

Compiler

Compiled 2331 to 1484 computations (36.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.4%)

Counts

1 → 28

Calls

9 calls:

3.0ms	(/.f64 (-.f64 z x) y)	z	0
1.0ms	(/.f64 (-.f64 z x) y)	z	-inf
1.0ms	(/.f64 (-.f64 z x) y)	z	inf
1.0ms	(/.f64 (-.f64 z x) y)	x	inf
1.0ms	(/.f64 (-.f64 z x) y)	x	-inf

rewrite88.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
541×	`prod-diff_binary64`
179×	`egg-rr`
74×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	2108	7

Stop Event

1×	node limit

Counts

1 → 179

simplify29.0ms (1%)

Algorithm

1×	egg-herbie

Rules

279×	`fma-def_binary64`
145×	`fma-neg_binary64`
56×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-in_binary64`
40×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	250
1	24	250
2	48	228
3	92	184
4	182	184
5	356	184
6	651	184
7	1018	184
8	1064	184
9	1095	184
10	1100	184

Stop Event

1×

saturated

Counts

207 → 184

prune135.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	184	2	186

Error

Counts

186 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 -4 (/.f64 (-.f64 z x) y) 3))
✓	0.0b	(+.f64 1 (-.f64 (+.f64 (.f64 4 (/.f64 x y)) 3) (.f64 4 (/.f64 z y))))

Compiler

Compiled 7428 to 3100 computations (58.3% saved)

regimes376.0ms (12.6%)

Accuracy

Total 0.0b remaining (39.3%)

Threshold costs 0.0b (39.3%)

Counts

70 → 1

Compiler

Compiled 5368 to 4142 computations (22.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	27	17
3	30	17
4	31	17

Stop Event

1×

saturated

end50.0ms (1.7%)

Stop Event

1×

done

Compiler

Compiled 61 to 46 computations (24.6% saved)

Details

analyze522.0ms (17.5%)

sample1.1s (37.9%)

preprocess50.0ms (1.7%)

simplify36.0ms (1.2%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

series30.0ms (1%)

rewrite65.0ms (2.2%)

simplify53.0ms (1.8%)

prune137.0ms (4.6%)

localize10.0ms (0.3%)

series27.0ms (0.9%)

rewrite69.0ms (2.3%)

simplify60.0ms (2%)

prune80.0ms (2.7%)

localize6.0ms (0.2%)

series11.0ms (0.4%)

rewrite88.0ms (3%)

simplify29.0ms (1%)

prune135.0ms (4.6%)

regimes376.0ms (12.6%)

simplify4.0ms (0.1%)

end50.0ms (1.7%)

Profiling