Details

analyze750.0ms (10.9%)

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)

sample1.6s (23.5%)

Symmetry

(sort V l)

Results

1.1s	8256×	body	128	valid
460.0ms	3921×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (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

prune2.0ms (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

21.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	21.7b	(.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
✓	1.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	5.8b	(/.f64 A (*.f64 V l))
✓	15.8b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series127.0ms (1.8%)

Counts

3 → 12

Calls

3 calls:

64.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
44.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
18.0ms	(/.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))))
4.0ms	(/.f64 A (*.f64 V l))
2.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify97.0ms (1.4%)

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

prune150.0ms (2.2%)

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

9.4b

Counts

87 → 12

Alt Table

Status	Error	Program
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	40.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))
	36.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
▶	21.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	21.6b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	22.2b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	36.5b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	49.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	49.3b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	21.7b	(.f64 (.f64 c0 1) (sqrt.f64 (/.f64 A (*.f64 V l))))
	50.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	22.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))

Compiler

Compiled 1588 to 557 computations (64.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.9b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	5.7b	(/.f64 (/.f64 A V) l)
✓	15.8b	(sqrt.f64 (/.f64 (/.f64 A V) l))

series127.0ms (1.8%)

Counts

3 → 48

Calls

3 calls:

68.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
39.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
19.0ms	(/.f64 (/.f64 A V) l)

rewrite44.0ms (0.6%)

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:

13.0ms	(*.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))

simplify212.0ms (3.1%)

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

prune283.0ms (4.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	267	13	280
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	275	17	292

Error

0.1b

Counts

292 → 17

Alt Table

Status	Error	Program
	16.4b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	22.2b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	4.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l))))
	15.5b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A V))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l))))
	8.9b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	28.8b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (sqrt.f64 l))))
	50.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
▶	1.1b	(.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))))
	22.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	14.9b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	2.8b	(.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)))))
	21.5b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
	25.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (sqrt.f64 l))))
	34.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 A (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 1 V) (cbrt.f64 l)))))
	36.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	15.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) l))))

Compiler

Compiled 5571 to 1660 computations (70.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series534.0ms (7.8%)

Counts

4 → 60

Calls

4 calls:

429.0ms	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
39.0ms	(cbrt.f64 l)
33.0ms	(cbrt.f64 V)
32.0ms	(cbrt.f64 A)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

4.0ms	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 V)

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

400×	`log-prod_binary64`
296×	`unswap-sqr_binary64`
280×	`fma-neg_binary64`
226×	`fma-def_binary64`
213×	`log-div_binary64`

Counts

161 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1955
1	240	1829
2	591	1687
3	2059	1585
4	4581	1585
5	5374	1585

prune240.0ms (3.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	298	6	304
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	301	20	321

Error

0.0b

Counts

321 → 20

Alt Table

Status	Error	Program
	4.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l))))
▶	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 1 (/.f64 (cbrt.f64 V) (cbrt.f64 A))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	16.4b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l))) (cbrt.f64 (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	22.2b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	15.5b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A V))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l))))
	30.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (.f64 (/.f64 (pow.f64 A 1/6) (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V)))) (/.f64 (pow.f64 A 1/6) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l))))
	2.8b	(.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)))))
	25.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (sqrt.f64 l))))
	28.8b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 A)) (cbrt.f64 (sqrt.f64 A))) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	8.9b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	28.8b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (sqrt.f64 l))))
	50.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.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 A)) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l))))
	21.5b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) 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)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l))) (cbrt.f64 (cbrt.f64 l))))))
	36.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	22.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	15.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) l))))

Compiler

Compiled 9324 to 2473 computations (73.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
	0.6b	(cbrt.f64 A)
	0.6b	(cbrt.f64 V)
	0.6b	(cbrt.f64 l)

prune213.0ms (3.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	1	18	19
Picked	0	1	1
Done	0	0	0
Total	205	21	226

Error

0.0b

Counts

226 → 21

Alt Table

Status	Error	Program
	22.2b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	30.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 1 (/.f64 (cbrt.f64 V) (cbrt.f64 A))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 A 1/6) (pow.f64 A 1/6)) (cbrt.f64 V)) (cbrt.f64 l))))
	4.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l))))
✓	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 1 (/.f64 (cbrt.f64 V) (cbrt.f64 A))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	16.4b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l))) (cbrt.f64 (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	15.5b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A V))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l))))
	25.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (sqrt.f64 l))))
	47.0b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 1 (/.f64 (cbrt.f64 V) (cbrt.f64 A))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (.f64 (pow.f64 (.f64 -1 l) 1/3) (cbrt.f64 -1)))))
	28.8b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 A)) (cbrt.f64 (sqrt.f64 A))) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	8.9b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	28.8b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (sqrt.f64 l))))
	50.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.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 A)) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l))))
	2.8b	(.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)))))
	21.5b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) 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)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l))) (cbrt.f64 (cbrt.f64 l))))))
	36.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	22.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	15.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) l))))

Compiler

Compiled 6449 to 2523 computations (60.9% saved)

regimes1.9s (27.4%)

Accuracy

Total 1.1b remaining (92.3%)

Threshold costs 0b (0%)

Counts

214 → 1

Compiler

Compiled 38053 to 23171 computations (39.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`fabs-mul_binary64`
2×	`fabs-div_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	35
1	24	35
2	27	35
3	30	35
4	28	35

end424.0ms (6.2%)

Compiler: Compiled 620 to 357 computations (42.4% saved)

Details

analyze750.0ms (10.9%)

sample1.6s (23.5%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series127.0ms (1.8%)

rewrite16.0ms (0.2%)

simplify97.0ms (1.4%)

prune150.0ms (2.2%)

localize6.0ms (0.1%)

series127.0ms (1.8%)

rewrite44.0ms (0.6%)

simplify212.0ms (3.1%)

prune283.0ms (4.1%)

localize12.0ms (0.2%)

series534.0ms (7.8%)

rewrite11.0ms (0.2%)

simplify99.0ms (1.4%)

prune240.0ms (3.5%)

localize18.0ms (0.3%)

prune213.0ms (3.1%)

regimes1.9s (27.4%)

simplify3.0ms (0%)

end424.0ms (6.2%)

Profiling