Details

analyze1.2s (39.6%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	95.6%	4.4%	10
0%	95.2%	4.8%	11
0%	94.9%	5.1%	12
0%	92.6%	7.4%	13
0%	92.4%	7.6%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.5s (47.9%)

Symmetry

(sort x y)

Results

865.0ms	8253×	body	128	valid
522.0ms	1086×	body	8192	exit
34.0ms	309×	body	128	invalid
1.0ms	3×	body	512	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify10.0ms (0.3%)

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%)

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 (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite11.0ms (0.3%)

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:

7.0ms

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

simplify67.0ms (2.2%)

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

prune34.0ms (1.1%)

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

Compiler

Compiled 936 to 470 computations (49.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 9

Calls

1 calls:

7.0ms

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64`
1×	`+-commutative_binary64`
1×	`associate-+r+_binary64`
1×	`flip-+_binary64`

Counts

1 → 16

Calls

1 calls:

5.0ms

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

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

360×	`sub-neg_binary64`
314×	`fma-neg_binary64`
313×	`distribute-rgt-in_binary64`
301×	`fma-def_binary64`
291×	`cancel-sign-sub-inv_binary64`

Counts

25 → 34

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	281
1	136	247
2	524	246
3	2190	246
4	3789	246
5	4877	246
6	5021	246

prune22.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Error

Counts

36 → 2

Alt Table

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

Compiler

Compiled 538 to 147 computations (72.7% saved)

regimes89.0ms (2.9%)

Accuracy

Total 0.0b remaining (75.2%)

Threshold costs 0.0b (75.2%)

Counts

16 → 1

Compiler

Compiled 984 to 617 computations (37.3% 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

end42.0ms (1.4%)

Remove: (sort x y)
Compiler: Compiled 76 to 43 computations (43.4% saved)

Details

analyze1.2s (39.6%)

sample1.5s (47.9%)

simplify10.0ms (0.3%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series7.0ms (0.2%)

rewrite11.0ms (0.3%)

simplify67.0ms (2.2%)

prune34.0ms (1.1%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite6.0ms (0.2%)

simplify73.0ms (2.4%)

prune22.0ms (0.7%)

regimes89.0ms (2.9%)

simplify2.0ms (0.1%)

end42.0ms (1.4%)

Profiling