Details

analyze468.0ms (21.6%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.4%	10.1%	12
55%	30.3%	14.7%	13
59.5%	25.4%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (50.9%)

Symmetry

(sort x y)

Results

950.0ms	8254×	body	128	valid
106.0ms	605×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	88	10
4	170	10
5	254	10
6	256	10
7	258	10
8	252	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 z 1))

Compiler

Compiled 30 to 21 computations (30% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip-+_binary64`
6×	`flip3-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify70.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

759×	`distribute-rgt-in_binary64`
724×	`distribute-lft-in_binary64`
449×	`fma-def_binary64`
414×	`fma-neg_binary64`
258×	`unsub-neg_binary64`

Counts

68 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	908
1	269	804
2	911	798
3	3385	798
4	4092	798
5	5126	798

prune33.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
▶	0.0b	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))

Compiler

Compiled 936 to 470 computations (49.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 z x) x)
✓	0.0b	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))
✓	0.0b	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))

series21.0ms (1%)

Counts

3 → 33

Calls

3 calls:

9.0ms	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))
8.0ms	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))
4.0ms	(+.f64 (*.f64 z x) x)

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
7×	`*-un-lft-identity_binary64`
5×	`fma-def_binary64`
4×	`add-sqr-sqrt_binary64`

Counts

3 → 52

Calls

3 calls:

7.0ms	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))
5.0ms	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))
4.0ms	(+.f64 (*.f64 z x) x)

simplify60.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
623×	`fma-def_binary64`
605×	`fma-neg_binary64`
593×	`distribute-lft-in_binary64`
396×	`associate-l_binary64`

Counts

85 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	839
1	270	770
2	983	748
3	4469	747
4	5002	747

prune42.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Error

Counts

96 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	0.0b	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))

Compiler

Compiled 1501 to 388 computations (74.2% saved)

regimes127.0ms (5.9%)

Accuracy

Total 0.0b remaining (67%)

Threshold costs 0.0b (67%)

Counts

21 → 1

Compiler

Compiled 1306 to 808 computations (38.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	11	14
2	11	14

end182.0ms (8.4%)

Compiler: Compiled 76 to 43 computations (43.4% saved)

Details

analyze468.0ms (21.6%)

sample1.1s (50.9%)

simplify13.0ms (0.6%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite10.0ms (0.5%)

simplify70.0ms (3.2%)

prune33.0ms (1.5%)

localize7.0ms (0.3%)

series21.0ms (1%)

rewrite18.0ms (0.8%)

simplify60.0ms (2.7%)

prune42.0ms (1.9%)

regimes127.0ms (5.9%)

simplify2.0ms (0.1%)

end182.0ms (8.4%)

Profiling