Details

analyze408.0ms (20.1%)

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
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample933.0ms (45.9%)

Symmetry

(sort x y)

Results

814.0ms	8256×	body	128	valid
70.0ms	645×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`distribute-lft-in_binary64`
2×	`distribute-rgt-in_binary64`
1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	16	7
3	18	7
4	18	7

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) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`associate-r_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 23

Calls

1 calls:

4.0ms

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

simplify109.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-def_binary64`
448×	`associate-+l+_binary64`
431×	`fma-neg_binary64`
402×	`associate-+r+_binary64`
300×	`distribute-rgt-out_binary64`

Counts

59 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	490
1	115	460
2	370	460
3	930	460
4	1654	460
5	2723	460
6	3208	460
7	4769	460
8	4995	460
9	4860	460

prune19.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

0.0b

Counts

42 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) z)
▶	0.0b	(+.f64 (.f64 y z) (.f64 z x))
	28.5b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))

Compiler

Compiled 494 to 154 computations (68.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 18

Calls

1 calls:

6.0ms

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

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 14

Calls

1 calls:

3.0ms

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

simplify70.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

801×	`unsub-neg_binary64`
588×	`distribute-rgt-out_binary64`
339×	`distribute-rgt-in_binary64`
307×	`distribute-lft-in_binary64`
288×	`associate-l_binary64`

Counts

32 → 28

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	296
1	115	272
2	397	271
3	1233	271
4	2569	268
5	3818	268
6	4353	268
7	5317	268

prune12.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	29	2	31

Error

0.0b

Counts

31 → 2

Alt Table

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

Compiler

Compiled 361 to 99 computations (72.6% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify80.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
773×	`distribute-rgt-in_binary64`
765×	`distribute-lft-in_binary64`
405×	`*-commutative_binary64`
380×	`distribute-rgt-out_binary64`

Counts

46 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	346
1	25	331
2	78	331
3	295	331
4	778	331
5	2919	331
6	3117	331
7	3288	331
8	3563	331
9	4329	331
10	4791	331

prune8.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Error

0.0b

Counts

25 → 2

Alt Table

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

Compiler

Compiled 229 to 60 computations (73.8% saved)

regimes59.0ms (2.9%)

Accuracy

Total 0.0b remaining (63.8%)

Threshold costs 0.0b (63.8%)

Counts

9 → 1

Compiler

Compiled 542 to 322 computations (40.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end280.0ms (13.8%)

Compiler: Compiled 53 to 30 computations (43.4% saved)

Details

analyze408.0ms (20.1%)

sample933.0ms (45.9%)

simplify8.0ms (0.4%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series6.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify109.0ms (5.4%)

prune19.0ms (0.9%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify70.0ms (3.5%)

prune12.0ms (0.6%)

localize8.0ms (0.4%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify80.0ms (3.9%)

prune8.0ms (0.4%)

regimes59.0ms (2.9%)

simplify2.0ms (0.1%)

end280.0ms (13.8%)

Profiling