Details

analyze56.0ms (4.1%)

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
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)

sample730.0ms (54%)

Results

706.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	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 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out_binary64`

Counts

1 → 42

Calls

1 calls:

5.0ms

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

simplify71.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg_binary64`
615×	`cancel-sign-sub-inv_binary64`
443×	`times-frac_binary64`
384×	`distribute-rgt-in_binary64`
346×	`sub-neg_binary64`

Counts

66 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1149
1	280	1098
2	790	1091
3	2547	1089
4	4174	1089
5	5065	1089

prune46.0ms (3.4%)

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
▶	12.7b	(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y -1)) (-.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 1204 to 640 computations (46.8% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y -1)) (-.f64 y 1))
✓	12.2b	(/.f64 (+.f64 y x) (fma.f64 y y -1))

series52.0ms (3.9%)

Counts

2 → 48

Calls

2 calls:

28.0ms	(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y -1)) (-.f64 y 1))
24.0ms	(/.f64 (+.f64 y x) (fma.f64 y y -1))

rewrite25.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
34×	`add-cube-cbrt_binary64`
25×	`times-frac_binary64`
18×	`prod-diff_binary64`

Counts

2 → 106

Calls

2 calls:

10.0ms	(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y -1)) (-.f64 y 1))
8.0ms	(/.f64 (+.f64 y x) (fma.f64 y y -1))

simplify85.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

793×	`times-frac_binary64`
572×	`fma-def_binary64`
448×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
121×	`sub-neg_binary64`

Counts

154 → 194

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	3512
1	494	3115
2	1701	2684
3	4923	2684

prune117.0ms (8.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	194	2	196

Error

Counts

196 → 2

Alt Table

Status	Error	Program
✓	12.7b	(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y -1)) (-.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 4249 to 2414 computations (43.2% saved)

regimes91.0ms (6.8%)

Accuracy

Total 0.0b remaining (44.4%)

Threshold costs 0.0b (44.4%)

Counts

33 → 1

Compiler

Compiled 1290 to 857 computations (33.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	10

end39.0ms (2.9%)

Compiler: Compiled 41 to 27 computations (34.1% saved)

Details

analyze56.0ms (4.1%)

sample730.0ms (54%)

simplify12.0ms (0.9%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series7.0ms (0.5%)

rewrite8.0ms (0.6%)

simplify71.0ms (5.3%)

prune46.0ms (3.4%)

localize7.0ms (0.5%)

series52.0ms (3.9%)

rewrite25.0ms (1.9%)

simplify85.0ms (6.2%)

prune117.0ms (8.6%)

regimes91.0ms (6.8%)

simplify2.0ms (0.1%)

end39.0ms (2.9%)

Profiling