Details

analyze141.0ms (8.8%)

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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample802.0ms (50.2%)

Results

771.0ms	8256×	body	128	valid
14.0ms	156×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess56.0ms (3.5%)

Algorithm

2×	egg-herbie

Rules

513×	`fma-def_binary64`
355×	`fma-neg_binary64`
110×	`distribute-rgt-in_binary64`
92×	`cancel-sign-sub-inv_binary64`
84×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	33	20
2	71	20
3	161	20
4	307	20
5	519	20
6	999	20
7	1438	20
8	1892	20
9	2042	20
10	2044	20
11	2044	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify22.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
286×	`fma-neg_binary64`
71×	`associate-l_binary64`
71×	`distribute-rgt-in_binary64`
66×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	43	10
3	102	10
4	207	10
5	294	10
6	502	10
7	871	10
8	1251	10
9	1448	10
10	1498	10

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (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 2 (-.f64 (.f64 x x) (*.f64 x y)))
▶	0.0b	(.f64 (.f64 x -2) (-.f64 y x))

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))

series7.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(.f64 (.f64 x -2) (-.f64 y x))	y	inf
1.0ms	(.f64 (.f64 x -2) (-.f64 y x))	y	0
1.0ms	(.f64 (.f64 x -2) (-.f64 y x))	y	-inf
1.0ms	(.f64 (.f64 x -2) (-.f64 y x))	x	inf
1.0ms	(.f64 (.f64 x -2) (-.f64 y x))	x	-inf

rewrite39.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
78×	`add-sqr-sqrt_binary64`
74×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2029	10

Stop Event

1×	node limit

Counts

1 → 21

simplify64.0ms (4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
534×	`fma-def_binary64`
450×	`distribute-rgt-neg-in_binary64`
357×	`associate-l_binary64`
254×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	276
1	31	222
2	81	222
3	206	222
4	573	222
5	1867	222
6	3838	222

Stop Event

1×	node limit

Counts

45 → 27

prune15.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Status	Error	Program
▶	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))
	1.1b	(pow.f64 (cbrt.f64 (.f64 x (.f64 -2 (-.f64 y x)))) 3)

Compiler

Compiled 342 to 204 computations (40.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(-.f64 (.f64 x x) (.f64 x y))

series21.0ms (1.3%)

Counts

2 → 48

Calls

12 calls:

10.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))	x	0
1.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))	y	0
1.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))	y	inf
1.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))	y	-inf
1.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))	x	inf

rewrite50.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
86×	`add-cbrt-cube_binary64`
85×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	183	17
2	2450	17

Stop Event

1×	node limit

Counts

2 → 74

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
396×	`associate-l_binary64`
275×	`cancel-sign-sub-inv_binary64`
245×	`fma-def_binary64`
242×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	486
1	41	378
2	100	378
3	245	378
4	653	378
5	2149	378
6	3967	378

Stop Event

1×	node limit

Counts

122 → 85

prune43.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	86	2	88

Error

Counts

88 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))
▶	0.0b	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))

Compiler

Compiled 1254 to 521 computations (58.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x (*.f64 x (neg.f64 y)))
✓	0.0b	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))

series17.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

5.0ms	(fma.f64 x x (*.f64 x (neg.f64 y)))	x	0
1.0ms	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))	y	inf
1.0ms	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))	y	0
1.0ms	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))	y	-inf
1.0ms	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))	x	inf

rewrite53.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
152×	`prod-diff_binary64`
128×	`expm1-udef_binary64`
128×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	164	17
2	2005	17

Stop Event

1×	node limit

Counts

2 → 126

simplify41.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
394×	`associate-l_binary64`
275×	`cancel-sign-sub-inv_binary64`
245×	`fma-def_binary64`
242×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	486
1	41	378
2	100	378
3	244	378
4	654	378
5	2134	378
6	3962	378

Stop Event

1×	node limit

Counts

174 → 138

prune77.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Error

Counts

140 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 x -2) (-.f64 y x))
✓	0.0b	(.f64 2 (fma.f64 x x (.f64 x (neg.f64 y))))

Compiler

Compiled 3289 to 1233 computations (62.5% saved)

regimes53.0ms (3.3%)

Accuracy

Total 0.0b remaining (85.1%)

Threshold costs 0.0b (85.1%)

Counts

12 → 1

Compiler

Compiled 452 to 316 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10

Stop Event

1×

saturated

end38.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 38 to 25 computations (34.2% saved)

Details

analyze141.0ms (8.8%)

sample802.0ms (50.2%)

preprocess56.0ms (3.5%)

simplify22.0ms (1.4%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series7.0ms (0.4%)

rewrite39.0ms (2.4%)

simplify64.0ms (4%)

prune15.0ms (0.9%)

localize5.0ms (0.3%)

series21.0ms (1.3%)

rewrite50.0ms (3.1%)

simplify41.0ms (2.6%)

prune43.0ms (2.7%)

localize5.0ms (0.3%)

series17.0ms (1.1%)

rewrite53.0ms (3.3%)

simplify41.0ms (2.5%)

prune77.0ms (4.8%)

regimes53.0ms (3.3%)

simplify2.0ms (0.1%)

end38.0ms (2.4%)

Profiling