Details

analyze837.0ms (25.9%)

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)

sample39.0ms (1.2%)

Algorithm

1×

intervals

Results

14.0ms	195×	body	128	valid
4.0ms	25×	body	1024	valid
2.0ms	10×	body	2048	valid
2.0ms	17×	body	512	valid
2.0ms	44×	body	128	invalid
1.0ms	12×	body	512	invalid
1.0ms	6×	body	1024	invalid
1.0ms	9×	body	256	valid
0.0ms	4×	body	256	invalid

Compiler

Compiled 40 to 22 computations (45% saved)

simplify243.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

2037×	`distribute-rgt-out--_binary64`
762×	`unsub-neg_binary64`
515×	`distribute-lft-out_binary64`
498×	`distribute-lft-out--_binary64`
472×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	26	10
2	72	7
3	167	7
4	466	7
5	1438	7
6	1782	7
7	1910	7
8	2112	7
9	2225	7
10	2270	7
11	3525	7
12	3001	7
13	3205	7
14	3205	7
15	3617	7
16	3823	7
17	3823	7
18	3823	7
19	3925	7
20	3925	7
21	6666	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-r_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 30

Calls

1 calls:

5.0ms

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

Compiler

Compiled 320 to 104 computations (67.5% saved)

series19.0ms (0.6%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

17.0ms

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

Compiler

Compiled 233 to 142 computations (39.1% saved)

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-neg-out_binary64`
402×	`neg-sub0_binary64`
390×	`associate-l_binary64`
385×	`neg-mul-1_binary64`
336×	`associate-r_binary64`

Counts

45 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	416
1	160	386
2	455	386
3	1596	386
4	2974	386
5	5670	386

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Error

0.0b

Counts

35 → 3

Alt Table

Status	Error	Program
▶	33.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
	36.1b	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 195 to 72 computations (63.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x z) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
7.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

Compiler

Compiled 679 to 151 computations (77.8% saved)

series40.0ms (1.2%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

19.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
18.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))

Compiler

Compiled 671 to 403 computations (39.9% saved)

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

650×	`neg-mul-1_binary64`
391×	`*-commutative_binary64`
346×	`unsub-neg_binary64`
334×	`distribute-lft-neg-out_binary64`
321×	`distribute-rgt-neg-out_binary64`

Counts

79 → 60

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	944
1	207	777
2	635	777
3	1612	777
4	2479	777
5	4576	777
6	5265	777

prune11.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Error

Counts

63 → 4

Alt Table

Status	Error	Program
	51.3b	(.f64 (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (-.f64 x z))) (.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (-.f64 x z)))))
✓	33.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
▶	36.1b	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 457 to 152 computations (66.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 x z) y)
0.2b	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
1.5b	(sqrt.f64 (*.f64 (-.f64 x z) y))
1.5b	(sqrt.f64 (*.f64 (-.f64 x z) y))

rewrite53.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*l/_binary64`
16×	`sqrt-div_binary64`

Counts

4 → 105

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
4.0ms	(*.f64 (-.f64 x z) y)
3.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
3.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))

Compiler

Compiled 1754 to 343 computations (80.4% saved)

series88.0ms (2.7%)

Error

Counts

4 → 55

Calls

4 calls:

22.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
22.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
19.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
18.0ms	(*.f64 (-.f64 x z) y)

Compiler

Compiled 2247 to 1377 computations (38.7% saved)

simplify145.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

607×	`unswap-sqr_binary64`
405×	`times-frac_binary64`
298×	`*-commutative_binary64`
243×	`cancel-sign-sub-inv_binary64`
223×	`exp-prod_binary64`

Counts

160 → 136

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	144	1925
1	282	1849
2	962	1823
3	2288	1784
4	4251	1685
5	4891	1685
6	4956	1685

prune27.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	136	4	140

Error

Counts

140 → 4

Alt Table

Status	Error	Program
▶	33.1b	(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))
✓	33.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
✓	36.1b	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 1260 to 348 computations (72.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))
0.1b	(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
11×	`sqrt-prod_binary64`
11×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64`

Counts

2 → 57

Calls

2 calls:

8.0ms	(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))
5.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))

Compiler

Compiled 1012 to 208 computations (79.4% saved)

series44.0ms (1.4%)

Error

Counts

2 → 29

Calls

2 calls:

24.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
15.0ms	(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))

Compiler

Compiled 968 to 578 computations (40.3% saved)

simplify111.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

448×	`cancel-sign-sub-inv_binary64`
370×	`associate-/l/_binary64`
290×	`distribute-rgt-neg-in_binary64`
278×	`distribute-lft-neg-in_binary64`
271×	`*-commutative_binary64`

Counts

86 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1441
1	355	1258
2	1048	1214
3	2752	1186
4	4996	1186
5	4999	1186
6	4925	1186

prune14.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	58	4	62

Error

Counts

62 → 4

Alt Table

Status	Error	Program
	33.1b	(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))
	33.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
	36.1b	(.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) (sqrt.f64 (*.f64 (-.f64 x z) y)))
	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 642 to 235 computations (63.4% saved)

regimes127.0ms (3.9%)

Accuracy

Total 0.0b remaining (34.9%)

Threshold costs 0.0b (34.9%)

Compiler

Compiled 1996 to 1112 computations (44.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-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	8	10
1	20	10
2	28	10
3	33	10
4	35	10
5	35	10

end0.0ms (0%)

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

sample1.2s (36.1%)

Algorithm

1×

intervals

Results

285.0ms	5851×	body	128	valid
142.0ms	808×	body	1024	valid
97.0ms	479×	body	2048	valid
72.0ms	564×	body	512	valid
68.0ms	1344×	body	128	invalid
53.0ms	236×	body	1024	invalid
35.0ms	286×	body	512	invalid
25.0ms	298×	body	256	valid
22.0ms	208×	body	256	invalid

Compiler

Compiled 82 to 45 computations (45.1% saved)

Details

analyze837.0ms (25.9%)

sample39.0ms (1.2%)

simplify243.0ms (7.5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite20.0ms (0.6%)

series19.0ms (0.6%)

simplify59.0ms (1.8%)

prune9.0ms (0.3%)

localize6.0ms (0.2%)

rewrite30.0ms (0.9%)

series40.0ms (1.2%)

simplify85.0ms (2.6%)

prune11.0ms (0.3%)

localize6.0ms (0.2%)

rewrite53.0ms (1.6%)

series88.0ms (2.7%)

simplify145.0ms (4.5%)

prune27.0ms (0.8%)

localize6.0ms (0.2%)

rewrite33.0ms (1%)

series44.0ms (1.4%)

simplify111.0ms (3.4%)

prune14.0ms (0.4%)

regimes127.0ms (3.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (36.1%)

Profiling