Details

analyze522.0ms (22.4%)

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
28.1%	71.8%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
57.3%	42.5%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Compiler

Compiled 15 to 9 computations (40% saved)

sample1.1s (47.7%)

Results

907.0ms	7642×	body	128	valid
73.0ms	221×	body	1024	valid
44.0ms	192×	body	512	valid
34.0ms	87×	body	2048	valid
18.0ms	114×	body	256	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 44 to 26 computations (40.9% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

141×	`associate-+l+_binary64`
75×	`associate-+r+_binary64`
54×	`fma-def_binary64`
17×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	13
2	58	11
3	128	11
4	173	9
5	199	9
6	205	9
7	201	9

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

series14.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

14.0ms

(fma.f64 x 3 (fma.f64 y 2 z))

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 x 3 (fma.f64 y 2 z))

simplify87.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
577×	`associate-*l/_binary64`
508×	`associate-+l+_binary64`
504×	`associate-+r+_binary64`
442×	`associate-l_binary64`

Counts

46 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	471
1	35	396
2	60	396
3	199	396
4	920	396
5	3461	396
6	3577	396
7	3733	396
8	3972	396
9	4167	396
10	5448	396

prune23.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Alt Table

Status	Error	Program
▶	45.6b	(cbrt.f64 (.f64 (.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z))))
✓	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 350 to 228 computations (34.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))
✓	0.1b	(.f64 (.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z)))
✓	0.1b	(*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z)))
✓	42.9b	(cbrt.f64 (.f64 (.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z))))

series62.0ms (2.7%)

Counts

3 → 108

Calls

3 calls:

34.0ms

(*.f64 (*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z)))

19.0ms

(*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z)))

8.0ms

(cbrt.f64 (*.f64 (*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z))))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
13×	`add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 74

Calls

3 calls:

4.0ms

(*.f64 (*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z)))

4.0ms

(*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z)))

3.0ms

(cbrt.f64 (*.f64 (*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z))))

simplify130.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

634×	`unswap-sqr_binary64`
405×	`associate-+r+_binary64`
386×	`distribute-rgt-in_binary64`
382×	`fma-def_binary64`
376×	`distribute-lft-in_binary64`

Counts

182 → 176

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	5186
1	624	4147
2	2229	3817
3	3685	3777
4	5205	3777

prune174.0ms (7.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	266	2	268

Error

Counts

268 → 2

Alt Table

Status	Error	Program
✓	45.6b	(cbrt.f64 (.f64 (.f64 (fma.f64 x 3 (fma.f64 y 2 z)) (fma.f64 x 3 (fma.f64 y 2 z))) (fma.f64 x 3 (fma.f64 y 2 z))))
✓	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 7512 to 4851 computations (35.4% saved)

regimes119.0ms (5.1%)

Accuracy

Total 0.0b remaining (30%)

Threshold costs 0.0b (30%)

Counts

25 → 1

Compiler

Compiled 1316 to 986 computations (25.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end47.0ms (2%)

Compiler: Compiled 57 to 39 computations (31.6% saved)

Details

analyze522.0ms (22.4%)

sample1.1s (47.7%)

simplify9.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series14.0ms (0.6%)

rewrite1.0ms (0%)

simplify87.0ms (3.7%)

prune23.0ms (1%)

localize8.0ms (0.4%)

series62.0ms (2.7%)

rewrite16.0ms (0.7%)

simplify130.0ms (5.6%)

prune174.0ms (7.4%)

regimes119.0ms (5.1%)

simplify2.0ms (0.1%)

end47.0ms (2%)

Profiling