Details

analyze645.0ms (20.8%)

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
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample102.0ms (3.3%)

Algorithm

1×

intervals

Results

7.0ms	188×	body	128	valid
6.0ms	32×	body	1024	valid
2.0ms	14×	body	2048	valid
2.0ms	47×	body	128	invalid
1.0ms	12×	body	512	valid
1.0ms	9×	body	512	invalid
1.0ms	10×	body	256	valid
0.0ms	3×	body	1024	invalid
0.0ms	3×	body	256	invalid

Compiler

Compiled 40 to 22 computations (45% saved)

simplify185.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1285×	`distribute-lft-out_binary64`
1036×	`distribute-lft-out--_binary64`
857×	`unsub-neg_binary64`
599×	`*-commutative_binary64`
502×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	16
2	82	13
3	222	7
4	470	7
5	1353	7
6	1688	7
7	1658	7
8	2122	7
9	2086	7
10	2176	7
11	2328	7
12	3062	7
13	3212	7
14	3454	7
15	3590	7
16	3640	7
17	3640	7
18	3690	7
19	3740	7
20	6086	7

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
	16.6b	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 50

Calls

1 calls:

5.0ms

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

simplify95.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
422×	`unsub-neg_binary64`
281×	`unswap-sqr_binary64`
277×	`*-commutative_binary64`
231×	`neg-mul-1_binary64`

Counts

86 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	869
1	190	803
2	577	749
3	1458	695
4	3029	695
5	4852	695
6	5000	695
7	4766	695

prune34.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Error

Counts

69 → 3

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
	31.6b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
	0.6b	(+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 z 1))) y) (.f64 (fma.f64 (neg.f64 z) 1 (*.f64 z 1)) y))

Compiler

Compiled 1105 to 321 computations (71% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 18

Calls

1 calls:

7.0ms

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

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

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

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
633×	`fma-def_binary64`
541×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
320×	`times-frac_binary64`

Counts

35 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	332
1	121	314
2	415	307
3	1268	304
4	3520	304
5	4176	304
6	4949	304
7	4865	304

prune18.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	36	2	38

Error

Counts

38 → 2

Alt Table

Status	Error	Program
	31.6b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
▶	0.0b	(fma.f64 y x (neg.f64 (*.f64 y z)))

Compiler

Compiled 443 to 128 computations (71.1% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

simplify78.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
566×	`associate-l_binary64`
429×	`associate-r_binary64`
401×	`distribute-rgt-in_binary64`
384×	`distribute-lft-in_binary64`

Counts

46 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	352
1	47	337
2	126	337
3	448	337
4	2005	337
5	4119	337
6	4418	337
7	5458	337

prune8.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Status	Error	Program
▶	31.6b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
✓	0.0b	(fma.f64 y x (neg.f64 (*.f64 y z)))

Compiler

Compiled 281 to 77 computations (72.6% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 x z))
✓	0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))
✓	0.2b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

series66.0ms (2.1%)

Counts

3 → 60

Calls

3 calls:

31.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
19.0ms	(sqrt.f64 (-.f64 x z))
16.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`sqrt-prod_binary64`
16×	`associate-r_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64`

Counts

3 → 80

Calls

3 calls:

9.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
5.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
3.0ms	(sqrt.f64 (-.f64 x z))

simplify106.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
373×	`fma-def_binary64`
328×	`*-commutative_binary64`
293×	`times-frac_binary64`
221×	`distribute-rgt-in_binary64`

Counts

140 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	1956
1	465	1848
2	1434	1828
3	4198	1826
4	4990	1826
5	4977	1826

prune293.0ms (9.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	2	164

Error

Counts

164 → 2

Alt Table

Status	Error	Program
✓	31.6b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
✓	0.0b	(fma.f64 y x (neg.f64 (*.f64 y z)))

Compiler

Compiled 3297 to 993 computations (69.9% saved)

regimes152.0ms (4.9%)

Accuracy

Total 0.0b remaining (26.2%)

Threshold costs 0.0b (26.2%)

Counts

25 → 1

Compiler

Compiled 1496 to 872 computations (41.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	29	10
4	31	10
5	31	10

end0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample1.1s (36.9%)

Algorithm

1×

intervals

Results

282.0ms	5828×	body	128	valid
121.0ms	838×	body	1024	valid
103.0ms	1358×	body	128	invalid
102.0ms	479×	body	2048	valid
81.0ms	300×	body	512	invalid
58.0ms	541×	body	512	valid
33.0ms	204×	body	1024	invalid
29.0ms	314×	body	256	valid
15.0ms	198×	body	256	invalid

Compiler

Compiled 56 to 32 computations (42.9% saved)

Details

analyze645.0ms (20.8%)

sample102.0ms (3.3%)

simplify185.0ms (6%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series6.0ms (0.2%)

rewrite9.0ms (0.3%)

simplify95.0ms (3.1%)

prune34.0ms (1.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify82.0ms (2.6%)

prune18.0ms (0.6%)

localize12.0ms (0.4%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify78.0ms (2.5%)

prune8.0ms (0.3%)

localize9.0ms (0.3%)

series66.0ms (2.1%)

rewrite30.0ms (1%)

simplify106.0ms (3.4%)

prune293.0ms (9.4%)

regimes152.0ms (4.9%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36.9%)

Profiling