Details

analyze55.0ms (3.1%)

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
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample852.0ms (47.3%)

Results

743.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify73.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
365×	`times-frac_binary64`
331×	`div-sub_binary64`
156×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	52	10
5	81	10
6	124	10
7	191	10
8	300	10
9	641	10
10	822	10
11	1299	10
12	1328	10
13	1343	10
14	1357	10
15	1377	10
16	1377	10
17	1276	10

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 48

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify96.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

610×	`div-sub_binary64`
586×	`fma-neg_binary64`
530×	`cancel-sign-sub-inv_binary64`
194×	`distribute-neg-frac_binary64`
184×	`fma-def_binary64`

Counts

72 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1287
1	283	1239
2	748	1195
3	2488	1183
4	4383	1183
5	5485	1183

prune33.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
	35.8b	(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))
▶	28.1b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)

Compiler

Compiled 959 to 302 computations (68.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
✓	5.3b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

series51.0ms (2.8%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
21.0ms	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

rewrite25.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
44×	`add-cube-cbrt_binary64`
14×	`add-cbrt-cube_binary64`

Counts

2 → 118

Calls

2 calls:

7.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
5.0ms	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

simplify117.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
499×	`times-frac_binary64`
367×	`associate-/l/_binary64`
345×	`fma-def_binary64`
242×	`*-commutative_binary64`

Counts

166 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2835
1	453	2422
2	1413	2058
3	3948	1880
4	4949	1880
5	4939	1880

prune96.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	187	3	190

Error

Counts

190 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
▶	35.8b	(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))
✓	28.1b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)

Compiler

Compiled 4165 to 1399 computations (66.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 y x) (/.f64 y x))
✓	3.4b	(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))

series46.0ms (2.5%)

Counts

2 → 48

Calls

2 calls:

26.0ms	(*.f64 (/.f64 y x) (/.f64 y x))
19.0ms	(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))

rewrite18.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
14×	`add-cbrt-cube_binary64`

Counts

2 → 79

Calls

2 calls:

12.0ms	(*.f64 (/.f64 y x) (/.f64 y x))
0.0ms	(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))

simplify98.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-/l*_binary64`
538×	`associate-*r/_binary64`
421×	`times-frac_binary64`
359×	`fma-def_binary64`
349×	`associate-/l/_binary64`

Counts

127 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2084
1	356	1782
2	1094	1494
3	3799	1378
4	4721	1378
5	5152	1378

prune66.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Error

Counts

136 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	35.8b	(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))
✓	28.1b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)

Compiler

Compiled 2898 to 1162 computations (59.9% saved)

regimes88.0ms (4.9%)

Accuracy

Total 0.0b remaining (54.1%)

Threshold costs 0.0b (54.1%)

Counts

33 → 1

Compiler

Compiled 1348 to 874 computations (35.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	10	16
2	17	16
3	21	16
4	24	16
5	25	16
6	25	16

end47.0ms (2.6%)

Compiler: Compiled 68 to 34 computations (50% saved)

Details

analyze55.0ms (3.1%)

sample852.0ms (47.3%)

simplify73.0ms (4.1%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.5%)

rewrite11.0ms (0.6%)

simplify96.0ms (5.3%)

prune33.0ms (1.8%)

localize6.0ms (0.3%)

series51.0ms (2.8%)

rewrite25.0ms (1.4%)

simplify117.0ms (6.5%)

prune96.0ms (5.3%)

localize6.0ms (0.4%)

series46.0ms (2.5%)

rewrite18.0ms (1%)

simplify98.0ms (5.5%)

prune66.0ms (3.7%)

regimes88.0ms (4.9%)

simplify2.0ms (0.1%)

end47.0ms (2.6%)

Profiling