Details

analyze451.0ms (20.9%)

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)

sample986.0ms (45.8%)

Symmetry

(sort x y)

Results

769.0ms	8253×	body	128	valid
55.0ms	605×	body	128	invalid
0.0ms	2×	body	256	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify47.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
461×	`fma-def_binary64`
143×	`distribute-rgt-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
117×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	73	10
4	190	10
5	423	10
6	676	10
7	1136	10
8	1124	10
9	1359	10
10	1394	10
11	1394	10
12	1351	10

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 58

Calls

1 calls:

9.0ms

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

simplify84.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

725×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
623×	`fma-def_binary64`
470×	`fma-neg_binary64`
304×	`*-commutative_binary64`

Counts

94 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1510
1	295	1288
2	1142	1234
3	3920	1126
4	4552	1126
5	4752	1126

prune47.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	2	91

Error

Counts

91 → 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 1692 to 732 computations (56.7% saved)

localize9.0ms (0.4%)

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))

series16.0ms (0.7%)

Counts

2 → 27

Calls

2 calls:

9.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))
7.0ms	(+.f64 (.f64 y z) (.f64 z x))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
16×	`add-log-exp_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`prod-diff_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 58

Calls

2 calls:

7.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))
3.0ms	(+.f64 (.f64 y z) (.f64 z x))

simplify92.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

467×	`*-commutative_binary64`
276×	`associate-+l+_binary64`
267×	`cancel-sign-sub-inv_binary64`
267×	`sub-neg_binary64`
225×	`associate-+r+_binary64`

Counts

85 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1799
1	409	1289
2	1690	1139
3	3984	1139
4	4871	1139
5	4818	1139

prune47.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Error

Counts

101 → 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 2343 to 448 computations (80.9% saved)

regimes115.0ms (5.4%)

Accuracy

Total 0.0b remaining (76.2%)

Threshold costs 0.0b (76.2%)

Counts

20 → 1

Compiler

Compiled 1345 to 850 computations (36.8% 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	14
1	12	14
2	17	14
3	19	14
4	20	14
5	20	14

end215.0ms (10%)

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

Details

analyze451.0ms (20.9%)

sample986.0ms (45.8%)

simplify47.0ms (2.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite13.0ms (0.6%)

simplify84.0ms (3.9%)

prune47.0ms (2.2%)

localize9.0ms (0.4%)

series16.0ms (0.7%)

rewrite14.0ms (0.7%)

simplify92.0ms (4.3%)

prune47.0ms (2.2%)

regimes115.0ms (5.4%)

simplify2.0ms (0.1%)

end215.0ms (10%)

Profiling