Details

analyze695.0ms (9.7%)

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)

sample1.5s (21.3%)

Symmetry

(sort V l)

Results

1.0s	8256×	body	128	valid
463.0ms	3835×	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

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

22.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	22.6b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.4b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	5.6b	(/.f64 A (*.f64 V l))
✓	18.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series120.0ms (1.7%)

Counts

3 → 12

Calls

3 calls:

66.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
38.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.0ms	(/.f64 A (*.f64 V l))

rewrite14.0ms (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)))

simplify95.0ms (1.3%)

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

prune100.0ms (1.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	70	16	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	16	87

Error

11.1b

Counts

87 → 16

Alt Table

Status	Error	Program
	37.6b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	23.1b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	51.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	22.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	49.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	23.1b	(.f64 (.f64 c0 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	22.9b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l))))))
▶	20.8b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	38.8b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	28.7b	(.f64 c0 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 A (.f64 V l))) 3)))
	22.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	24.8b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	22.6b	(.f64 (.f64 c0 1) (sqrt.f64 (/.f64 A (*.f64 V l))))
	22.9b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	37.6b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	49.5b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))

Compiler

Compiled 1730 to 639 computations (63.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	3.6b	(/.f64 (/.f64 A V) l)
✓	18.3b	(sqrt.f64 (/.f64 (/.f64 A V) l))

series129.0ms (1.8%)

Counts

3 → 48

Calls

3 calls:

67.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
42.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
19.0ms	(/.f64 (/.f64 A V) l)

rewrite46.0ms (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:

17.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
6.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
4.0ms	(/.f64 (/.f64 A V) l)

simplify216.0ms (3%)

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

prune260.0ms (3.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	266	14	280
Fresh	12	3	15
Picked	0	1	1
Done	0	0	0
Total	278	18	296

Error

0.1b

Counts

296 → 18

Alt Table

Status	Error	Program
	23.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	24.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) (sqrt.f64 l))))
✓	20.8b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	11.4b	(.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))))
	15.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) l))))
	15.5b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) l)))
	2.4b	(.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)))))
	38.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 (/.f64 1 V) l)))
	36.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 V)) l))))
	30.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A V) (sqrt.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))))
	51.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	22.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	37.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) V) (cbrt.f64 l))))
	8.6b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	6.0b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	37.6b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	22.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (sqrt.f64 l)))))

Compiler

Compiled 5591 to 1688 computations (69.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
✓	0.5b	(cbrt.f64 l)
✓	0.6b	(cbrt.f64 A)
✓	0.6b	(cbrt.f64 V)

series547.0ms (7.6%)

Counts

4 → 60

Calls

4 calls:

445.0ms	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
37.0ms	(cbrt.f64 V)
33.0ms	(cbrt.f64 l)
32.0ms	(cbrt.f64 A)

rewrite13.0ms (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:

3.0ms	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 A)

simplify97.0ms (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

prune256.0ms (3.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	299	5	304
Fresh	1	15	16
Picked	1	0	1
Done	1	0	1
Total	302	20	322

Error

0.0b

Counts

322 → 20

Alt Table

Status	Error	Program
	23.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 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))))
	24.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) (sqrt.f64 l))))
	15.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) l))))
	15.5b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) l)))
	2.4b	(.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)))))
	38.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 (/.f64 1 V) l)))
	36.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 V)) l))))
	30.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A V) (sqrt.f64 l))))
	51.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
▶	1.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (cbrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	22.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	1.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.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))))
	11.4b	(.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))))
	37.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) V) (cbrt.f64 l))))
	8.6b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	6.0b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	16.4b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	22.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (sqrt.f64 l)))))

Compiler

Compiled 9298 to 2471 computations (73.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 l)
	0.6b	(cbrt.f64 A)
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))
	0.6b	(cbrt.f64 V)

series319.0ms (4.4%)

Counts

1 → 12

Calls

1 calls:

319.0ms

(cbrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`cbrt-prod_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(cbrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))

simplify122.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

980×	`unswap-sqr_binary64`
890×	`sqr-pow_binary64`
729×	`cube-prod_binary64`
633×	`fabs-mul_binary64`
390×	`unpow3_binary64`

Counts

23 → 16

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	252
1	44	252
2	75	252
3	150	252
4	400	252
5	652	252
6	1407	252
7	1549	252
8	1750	252
9	1983	252
10	2270	252
11	2511	252
12	2668	252
13	3073	252
14	3840	252
15	4176	252
16	4584	252
17	4897	252

prune138.0ms (1.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	160	20	180

Error

0.0b

Counts

180 → 20

Alt Table

Status	Error	Program
	23.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 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))))
	24.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) (sqrt.f64 l))))
	15.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 A (cbrt.f64 V)) l))))
	15.5b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) l)))
	2.4b	(.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)))))
	38.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 (/.f64 1 V) l)))
	36.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 V)) l))))
	30.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A V) (sqrt.f64 l))))
	51.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
✓	1.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (cbrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	22.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	1.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))) (sqrt.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))))
	11.4b	(.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))))
	37.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) V) (cbrt.f64 l))))
	8.6b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	6.0b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	16.4b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
	22.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (sqrt.f64 l)))))

Compiler

Compiled 5757 to 1453 computations (74.8% saved)

regimes2.0s (28.1%)

Accuracy

Total 1.1b remaining (93.2%)

Threshold costs 0b (0%)

Counts

227 → 1

Compiler

Compiled 45332 to 27031 computations (40.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	26	38
2	29	38
3	27	38

end390.0ms (5.4%)

Compiler: Compiled 589 to 349 computations (40.7% saved)

Details

analyze695.0ms (9.7%)

sample1.5s (21.3%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0.2%)

series120.0ms (1.7%)

rewrite14.0ms (0.2%)

simplify95.0ms (1.3%)

prune100.0ms (1.4%)

localize11.0ms (0.2%)

series129.0ms (1.8%)

rewrite46.0ms (0.6%)

simplify216.0ms (3%)

prune260.0ms (3.6%)

localize13.0ms (0.2%)

series547.0ms (7.6%)

rewrite13.0ms (0.2%)

simplify97.0ms (1.4%)

prune256.0ms (3.6%)

localize18.0ms (0.3%)

series319.0ms (4.4%)

rewrite3.0ms (0%)

simplify122.0ms (1.7%)

prune138.0ms (1.9%)

regimes2.0s (28.1%)

simplify6.0ms (0.1%)

end390.0ms (5.4%)

Profiling