Details

analyze61.0ms (3.2%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.2s (63.1%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify54.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
369×	`fma-def_binary64`
317×	`div-sub_binary64`
278×	`times-frac_binary64`
113×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	64	10
5	107	10
6	192	10
7	359	10
8	642	10
9	877	10
10	1142	10
11	1146	10
12	1156	10
13	1156	10
14	1064	10

prune2.0ms (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 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

series8.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`

Counts

1 → 60

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify101.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

779×	`times-frac_binary64`
532×	`fma-neg_binary64`
266×	`fma-def_binary64`
231×	`div-sub_binary64`
213×	`associate--l+_binary64`

Counts

84 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1541
1	341	1491
2	936	1482
3	2955	1482
4	4928	1482
5	5000	1482
6	4962	1482

prune46.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Error

Counts

79 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
▶	15.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))

Compiler

Compiled 1286 to 639 computations (50.3% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
✓	15.0b	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

series61.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
27.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

rewrite28.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
61×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
33×	`difference-of-squares_binary64`
31×	`associate-l_binary64`

Counts

2 → 113

Calls

2 calls:

13.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
6.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

simplify93.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
760×	`distribute-rgt-in_binary64`
393×	`times-frac_binary64`
163×	`cancel-sign-sub-inv_binary64`
155×	`sub-neg_binary64`

Counts

161 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3816
1	736	3506
2	2218	3179
3	5251	3179

prune102.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	15.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))

Compiler

Compiled 4313 to 2177 computations (49.5% saved)

regimes82.0ms (4.3%)

Accuracy

Total 0.0b remaining (47.8%)

Threshold costs 0.0b (47.8%)

Counts

28 → 1

Compiler

Compiled 1107 to 686 computations (38% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	17	10
3	19	10
4	20	10
5	19	10

end43.0ms (2.2%)

Compiler: Compiled 42 to 28 computations (33.3% saved)

Details

analyze61.0ms (3.2%)

sample1.2s (63.1%)

simplify54.0ms (2.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite12.0ms (0.6%)

simplify101.0ms (5.3%)

prune46.0ms (2.4%)

localize8.0ms (0.4%)

series61.0ms (3.2%)

rewrite28.0ms (1.5%)

simplify93.0ms (4.8%)

prune102.0ms (5.3%)

regimes82.0ms (4.3%)

simplify2.0ms (0.1%)

end43.0ms (2.2%)

Profiling