Details

analyze450.0ms (23.5%)

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)

sample905.0ms (47.3%)

Symmetry

(sort x y)

Results

798.0ms	8254×	body	128	valid
51.0ms	591×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify36.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
467×	`fma-def_binary64`
145×	`distribute-rgt-in_binary64`
132×	`cancel-sign-sub-inv_binary64`
117×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	82	10
4	261	10
5	703	10
6	1218	10
7	1946	10
8	2497	10
9	2820	10
10	2855	10
11	2855	10

Stop Event

1×

saturated

Counts

1 → 1

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 z))

Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite41.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`expm1-log1p-u_binary64`
587×	`prod-diff_binary64`
87×	`add-sqr-sqrt_binary64`
83×	`add-cbrt-cube_binary64`
83×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	10
2	2330	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

1 calls:

40.0ms

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

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
748×	`fma-neg_binary64`
135×	`sub-neg_binary64`
119×	`distribute-rgt-in_binary64`
113×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	415
1	42	334
2	117	334
3	246	334
4	586	334
5	1375	334
6	2392	334
7	2889	334
8	2924	334
9	2926	334
10	2926	334

Stop Event

1×

saturated

Counts

73 → 46

prune25.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Alt Table

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

Compiler

Compiled 640 to 324 computations (49.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series17.0ms (0.9%)

Counts

2 → 27

Calls

2 calls:

10.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))
6.0ms	(+.f64 (.f64 y z) (.f64 z x))

rewrite84.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`fma-def_binary64`
390×	`fma-neg_binary64`
206×	`expm1-udef_binary64`
206×	`log1p-udef_binary64`
201×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	214	20
2	3455	20

Stop Event

1×	node limit

Counts

2 → 201

Calls

2 calls:

79.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))
79.0ms	(+.f64 (.f64 y z) (.f64 z x))

simplify38.0ms (2%)

Algorithm

1×	egg-herbie

Rules

292×	`fma-def_binary64`
155×	`fma-neg_binary64`
49×	`distribute-rgt-in_binary64`
48×	`associate-l_binary64`
45×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	172
1	59	172
2	140	172
3	245	172
4	497	172
5	843	172
6	1045	172
7	1054	172

Stop Event

1×

saturated

Counts

228 → 216

prune105.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	216	2	218

Error

Counts

218 → 2

Alt Table

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

Compiler

Compiled 4370 to 935 computations (78.6% saved)

regimes93.0ms (4.9%)

Accuracy

Total 0.0b remaining (82.4%)

Threshold costs 0.0b (82.4%)

Counts

17 → 1

Compiler

Compiled 1064 to 680 computations (36.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	20	10
4	21	10

Stop Event

1×

saturated

end45.0ms (2.4%)

Remove: (sort x y)
Compiler: Compiled 64 to 43 computations (32.8% saved)

Details

analyze450.0ms (23.5%)

sample905.0ms (47.3%)

simplify36.0ms (1.9%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite41.0ms (2.1%)

simplify56.0ms (2.9%)

prune25.0ms (1.3%)

localize6.0ms (0.3%)

series17.0ms (0.9%)

rewrite84.0ms (4.4%)

simplify38.0ms (2%)

prune105.0ms (5.5%)

regimes93.0ms (4.9%)

simplify2.0ms (0.1%)

end45.0ms (2.4%)

Profiling