Details

analyze727.0ms (7.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.7s (17.4%)

Symmetry

(sort V l)

Results

1.2s	8256×	body	128	valid
459.0ms	3903×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	15	12
3	15	12

prune3.0ms (0%)

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

20.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	20.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	6.1b	(/.f64 A (*.f64 V l))
✓	15.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series124.0ms (1.3%)

Counts

3 → 12

Calls

3 calls:

67.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
39.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
17.0ms	(/.f64 A (*.f64 V l))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`

Counts

3 → 72

Calls

3 calls:

6.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
3.0ms	(/.f64 A (*.f64 V l))
2.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-neg_binary64`
679×	`associate-/r/_binary64`
449×	`div-sub_binary64`
262×	`times-frac_binary64`
261×	`sub-neg_binary64`

Counts

84 → 86

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1084
1	194	1009
2	561	1009
3	1631	1009
4	2187	1009
5	2446	1009
6	3196	1009
7	4340	1009
8	4698	1009

prune116.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	74	12	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	12	87

Error

7.9b

Counts

87 → 12

Alt Table

Status	Error	Program
	49.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	42.9b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	20.4b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l))))))
▶	18.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	34.0b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	20.2b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	35.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	34.0b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	20.6b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))
	50.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	19.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	35.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))

Compiler

Compiled 1602 to 555 computations (65.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	4.7b	(/.f64 (/.f64 A V) l)
✓	15.3b	(sqrt.f64 (/.f64 (/.f64 A V) l))

series128.0ms (1.3%)

Counts

3 → 48

Calls

3 calls:

69.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
39.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
20.0ms	(/.f64 (/.f64 A V) l)

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

213×	`times-frac_binary64`
134×	`add-sqr-sqrt_binary64`
117×	`*-un-lft-identity_binary64`
117×	`add-cube-cbrt_binary64`
89×	`sqrt-prod_binary64`

Counts

3 → 197

Calls

3 calls:

12.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
5.0ms	(/.f64 (/.f64 A V) l)
5.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))

simplify211.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
558×	`fma-def_binary64`
379×	`associate-/l/_binary64`
291×	`div-sub_binary64`
290×	`associate-l_binary64`

Counts

245 → 280

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4078
1	537	3931
2	1297	3881
3	2584	3881
4	2695	3881
5	2914	3881
6	3424	3881
7	4997	3881
8	4949	3881

prune212.0ms (2.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	267	13	280
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	276	16	292

Error

0.1b

Counts

292 → 16

Alt Table

Status	Error	Program
	14.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	7.0b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l)))))
	35.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	11.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))))
	34.0b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	13.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 A V) (cbrt.f64 l))))
	7.6b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) (cbrt.f64 l))))
	29.2b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) V) (sqrt.f64 l))))
	37.1b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
	5.4b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	19.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	33.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 1 V) (cbrt.f64 l))))
▶	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	13.5b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	2.0b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))))

Compiler

Compiled 5517 to 1636 computations (70.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
✓	0.6b	(cbrt.f64 l)
✓	0.6b	(cbrt.f64 A)
✓	0.6b	(cbrt.f64 V)

series1.4s (14.8%)

Counts

4 → 84

Calls

4 calls:

1.3s	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
36.0ms	(cbrt.f64 A)
34.0ms	(cbrt.f64 V)
30.0ms	(cbrt.f64 l)

rewrite160.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

456×	`times-frac_binary64`
345×	`cbrt-prod_binary64`
247×	`associate-r_binary64`
244×	`sqrt-prod_binary64`
239×	`*-un-lft-identity_binary64`

Counts

4 → 306

Calls

4 calls:

77.0ms	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 l)

simplify352.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-l_binary64`
589×	`*-commutative_binary64`
337×	`associate-/l/_binary64`
165×	`associate-*l/_binary64`
162×	`associate-/r*_binary64`

Counts

390 → 488

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	641	13024
1	1521	11417
2	3938	11119
3	4673	11119
4	5026	11119

prune399.0ms (4.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	536	6	542
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	539	19	558

Error

0.0b

Counts

558 → 19

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (.f64 c0 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 l))))
	14.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	7.0b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l)))))
	35.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	11.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))))
	34.0b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	13.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 A V) (cbrt.f64 l))))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	13.5b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) V) (sqrt.f64 l))))
	37.1b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
	5.4b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	19.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	33.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 1 V) (cbrt.f64 l))))
	1.4b	(.f64 (.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A))) (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))) (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 l)))))
▶	1.3b	(.f64 (.f64 (*.f64 c0 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (fabs.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (cbrt.f64 l))))
	1.5b	(.f64 (.f64 (.f64 c0 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))) (*.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 l)))))
	29.2b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	2.8b	(/.f64 (.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (fabs.f64 (cbrt.f64 l)))

Compiler

Compiled 19197 to 4160 computations (78.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 l)
	0.6b	(cbrt.f64 A)
	0.6b	(cbrt.f64 V)
✓	0.6b	(cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))

series1.0s (10.3%)

Counts

1 → 24

Calls

1 calls:

1.0s	(cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`

Counts

1 → 51

Calls

1 calls:

4.0ms

(cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

802×	`div-sub_binary64`
606×	`fma-def_binary64`
466×	`unswap-sqr_binary64`
432×	`fma-neg_binary64`
323×	`times-frac_binary64`

Counts

75 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	1588
1	206	1588
2	336	1576
3	648	1448
4	1455	1428
5	2893	1428
6	4156	1428
7	4934	1428

prune205.0ms (2.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	272	19	291

Error

0.0b

Counts

291 → 19

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (.f64 c0 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 l))))
	14.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	7.0b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l)))))
	35.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	11.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))))
	34.0b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	13.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 A V) (cbrt.f64 l))))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	13.5b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) V) (sqrt.f64 l))))
	37.1b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
	5.4b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	19.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	33.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 1 V) (cbrt.f64 l))))
	1.4b	(.f64 (.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A))) (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))) (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 l)))))
✓	1.3b	(.f64 (.f64 (*.f64 c0 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (fabs.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (cbrt.f64 l))))
	1.5b	(.f64 (.f64 (.f64 c0 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))) (*.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 l)))))
	29.2b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	2.8b	(/.f64 (.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (fabs.f64 (cbrt.f64 l)))

Compiler

Compiled 10092 to 1983 computations (80.4% saved)

regimes2.4s (24.5%)

Accuracy

Total 1.1b remaining (92.1%)

Threshold costs 0b (0%)

Counts

256 → 1

Compiler

Compiled 53801 to 31821 computations (40.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`fabs-div_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	23	35
2	26	35
3	25	35

end245.0ms (2.5%)

Remove: (sort V l)
Compiler: Compiled 572 to 321 computations (43.9% saved)

Details

analyze727.0ms (7.5%)

sample1.7s (17.4%)

simplify6.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series124.0ms (1.3%)

rewrite16.0ms (0.2%)

simplify105.0ms (1.1%)

prune116.0ms (1.2%)

localize6.0ms (0.1%)

series128.0ms (1.3%)

rewrite46.0ms (0.5%)

simplify211.0ms (2.2%)

prune212.0ms (2.2%)

localize11.0ms (0.1%)

series1.4s (14.8%)

rewrite160.0ms (1.6%)

simplify352.0ms (3.6%)

prune399.0ms (4.1%)

localize17.0ms (0.2%)

series1.0s (10.3%)

rewrite9.0ms (0.1%)

simplify107.0ms (1.1%)

prune205.0ms (2.1%)

regimes2.4s (24.5%)

simplify3.0ms (0%)

end245.0ms (2.5%)

Profiling