Details

analyze878.0ms (28.9%)

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
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)

sample135.0ms (4.4%)

Algorithm

1×

intervals

Results

31.0ms	12×	body	512	valid
8.0ms	188×	body	128	valid
5.0ms	32×	body	1024	valid
3.0ms	14×	body	2048	valid
2.0ms	47×	body	128	invalid
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)

simplify250.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

7175×	`fma-neg_binary64`
753×	`unsub-neg_binary64`
515×	`distribute-lft-out_binary64`
498×	`distribute-lft-out--_binary64`
472×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	80	7
3	206	7
4	565	7
5	1825	7
6	2161	7
7	2289	7
8	2491	7
9	2604	7
10	2649	7
11	3904	7
12	3380	7
13	3584	7
14	3584	7
15	3996	7
16	4202	7
17	4202	7
18	4202	7
19	4304	7
20	4304	7
21	11032	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 z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite17.0ms (0.6%)

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:

14.0ms

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

simplify88.0ms (2.9%)

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

prune38.0ms (1.3%)

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
	0.6b	(+.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))
	31.6b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))

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))

rewrite7.0ms (0.2%)

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:

6.0ms

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

simplify78.0ms (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

prune19.0ms (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)

localize5.0ms (0.2%)

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)))

simplify74.0ms (2.4%)

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)

localize6.0ms (0.2%)

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)))

series67.0ms (2.2%)

Counts

3 → 60

Calls

3 calls:

31.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
18.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
17.0ms	(sqrt.f64 (-.f64 x z))

rewrite24.0ms (0.8%)

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:

11.0ms	(.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))

simplify97.0ms (3.2%)

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

prune54.0ms (1.8%)

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)

regimes93.0ms (3.1%)

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 (35.1%)

Algorithm

1×

intervals

Results

244.0ms	5829×	body	128	valid
133.0ms	835×	body	1024	valid
88.0ms	479×	body	2048	valid
69.0ms	543×	body	512	valid
62.0ms	1358×	body	128	invalid
36.0ms	301×	body	512	invalid
30.0ms	203×	body	1024	invalid
24.0ms	314×	body	256	valid
15.0ms	198×	body	256	invalid

Compiler

Compiled 56 to 32 computations (42.9% saved)

Details

analyze878.0ms (28.9%)

sample135.0ms (4.4%)

simplify250.0ms (8.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite17.0ms (0.6%)

simplify88.0ms (2.9%)

prune38.0ms (1.3%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite7.0ms (0.2%)

simplify78.0ms (2.6%)

prune19.0ms (0.6%)

localize5.0ms (0.2%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify74.0ms (2.4%)

prune8.0ms (0.3%)

localize6.0ms (0.2%)

series67.0ms (2.2%)

rewrite24.0ms (0.8%)

simplify97.0ms (3.2%)

prune54.0ms (1.8%)

regimes93.0ms (3.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.1%)

Profiling