Details

analyze36.0ms (1.8%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample788.0ms (38.4%)

Results

702.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify71.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-neg_binary64`
439×	`fma-def_binary64`
382×	`times-frac_binary64`
357×	`div-sub_binary64`
168×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	21	10
4	28	10
5	51	10
6	74	10
7	104	10
8	154	10
9	319	10
10	479	10
11	806	10
12	1050	10
13	1216	10
14	1316	10
15	1330	10
16	1350	10
17	1350	10
18	1250	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))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite8.0ms (0.4%)

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 → 47

Calls

1 calls:

5.0ms

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

simplify76.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

910×	`fma-neg_binary64`
434×	`cancel-sign-sub-inv_binary64`
387×	`distribute-rgt-in_binary64`
223×	`fma-def_binary64`
161×	`associate-/l*_binary64`

Counts

71 → 57

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	1282
1	280	1222
2	785	1160
3	2516	1148
4	4566	1139
5	5172	1139

prune31.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Status	Error	Program
	31.4b	(fma.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y))) -1)
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
▶	0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))

Compiler

Compiled 912 to 302 computations (66.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

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

rewrite31.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`

Counts

2 → 178

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
6.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify169.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
368×	`fma-def_binary64`
310×	`times-frac_binary64`
267×	`distribute-rgt-in_binary64`
239×	`associate-/l*_binary64`

Counts

226 → 204

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	4590
1	441	4267
2	1315	4104
3	4286	4086
4	4976	4086
5	4961	4086

prune98.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	204	3	207

Error

Counts

207 → 3

Alt Table

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

Compiler

Compiled 3983 to 1270 computations (68.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series64.0ms (3.1%)

Counts

2 → 48

Calls

2 calls:

52.0ms	(log.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))))
12.0ms	(exp.f64 (/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y))))

rewrite56.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64`
225×	`*-un-lft-identity_binary64`
166×	`exp-prod_binary64`
165×	`add-sqr-sqrt_binary64`
117×	`add-cube-cbrt_binary64`

Counts

2 → 190

Calls

2 calls:

14.0ms	(log.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))))
12.0ms	(exp.f64 (/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y))))

simplify220.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

504×	`times-frac_binary64`
348×	`fma-neg_binary64`
334×	`associate-/l*_binary64`
306×	`associate-/r*_binary64`
268×	`fma-def_binary64`

Counts

238 → 290

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	3929
1	393	3706
2	1089	3458
3	4221	3449
4	4956	3449
5	5008	3449

prune243.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	494	0	494
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	494	3	497

Error

Counts

497 → 3

Alt Table

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

Compiler

Compiled 11037 to 3990 computations (63.8% saved)

regimes69.0ms (3.4%)

Accuracy

Total 0.0b remaining (33.4%)

Threshold costs 0.0b (33.4%)

Counts

24 → 1

Compiler

Compiled 751 to 584 computations (22.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`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	8	13
1	13	13
2	17	13
3	19	13
4	20	13
5	19	13

end50.0ms (2.4%)

Compiler: Compiled 55 to 35 computations (36.4% saved)

Details

analyze36.0ms (1.8%)

sample788.0ms (38.4%)

simplify71.0ms (3.5%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite8.0ms (0.4%)

simplify76.0ms (3.7%)

prune31.0ms (1.5%)

localize5.0ms (0.2%)

series13.0ms (0.6%)

rewrite31.0ms (1.5%)

simplify169.0ms (8.2%)

prune98.0ms (4.8%)

localize8.0ms (0.4%)

series64.0ms (3.1%)

rewrite56.0ms (2.7%)

simplify220.0ms (10.7%)

prune243.0ms (11.9%)

regimes69.0ms (3.4%)

simplify2.0ms (0.1%)

end50.0ms (2.4%)

Profiling