Details

analyze506.0ms (22.2%)

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)

sample910.0ms (40%)

Symmetry

(sort x y)

Results

796.0ms	8255×	body	128	valid
68.0ms	658×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify10.0ms (0.4%)

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

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 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))

rewrite14.0ms (0.6%)

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:

12.0ms

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

simplify67.0ms (2.9%)

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

prune39.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

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)))
	26.4b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (+.f64 z 1)) (-.f64 x y))

Compiler

Compiled 972 to 492 computations (49.4% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series19.0ms (0.8%)

Counts

3 → 33

Calls

3 calls:

8.0ms	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))
7.0ms	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))
4.0ms	(+.f64 (*.f64 z x) x)

rewrite15.0ms (0.7%)

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:

6.0ms	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))
5.0ms	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))
3.0ms	(+.f64 (*.f64 z x) x)

simplify60.0ms (2.6%)

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 → 96

Iterations

Useful iterations: 3 (0.0ms)

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

prune57.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Alt Table

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

Compiler

Compiled 1538 to 403 computations (73.8% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

8.0ms

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

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

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

simplify55.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

525×	`associate--l-_binary64`
496×	`sub-neg_binary64`
425×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`
349×	`associate--r+_binary64`

Counts

54 → 40

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	662
1	104	584
2	354	544
3	2036	544
4	3077	543
5	5217	543

prune32.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Error

Counts

72 → 2

Alt Table

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

Compiler

Compiled 991 to 299 computations (69.8% saved)

regimes254.0ms (11.2%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Counts

39 → 1

Compiler

Compiled 3122 to 1954 computations (37.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	8	12
2	8	12

end197.0ms (8.6%)

Compiler: Compiled 71 to 38 computations (46.5% saved)

Details

analyze506.0ms (22.2%)

sample910.0ms (40%)

simplify10.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite14.0ms (0.6%)

simplify67.0ms (2.9%)

prune39.0ms (1.7%)

localize6.0ms (0.3%)

series19.0ms (0.8%)

rewrite15.0ms (0.7%)

simplify60.0ms (2.6%)

prune57.0ms (2.5%)

localize9.0ms (0.4%)

series8.0ms (0.4%)

rewrite3.0ms (0.1%)

simplify55.0ms (2.4%)

prune32.0ms (1.4%)

regimes254.0ms (11.2%)

simplify3.0ms (0.1%)

end197.0ms (8.6%)

Profiling