Details

analyze643.0ms (10.1%)

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)

sample56.0ms (0.9%)

Algorithm

1×

intervals

Symmetry

(sort V l)

Results

12.0ms	256×	body	128	valid
5.0ms	102×	body	128	nan
1.0ms	30×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify9.0ms (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

19.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.0b	(.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
✓	0.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	5.2b	(/.f64 A (*.f64 V l))
✓	16.8b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series160.0ms (2.5%)

Counts

3 → 12

Calls

3 calls:

102.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
40.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
18.0ms	(/.f64 A (*.f64 V l))

rewrite17.0ms (0.3%)

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:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
3.0ms	(/.f64 A (*.f64 V l))
3.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify95.0ms (1.5%)

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

prune101.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	72	14	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	15	87

Error

8.9b

Counts

87 → 15

Alt Table

Status	Error	Program
	21.5b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	51.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	19.2b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
✓	19.0b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	42.5b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	19.7b	(.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))))))
	18.5b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	42.6b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	52.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
▶	18.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	19.2b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	19.7b	(.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)))))
	19.6b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	42.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	39.0b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))

Compiler

Compiled 1736 to 605 computations (65.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 A)
✓	0.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
✓	3.5b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	16.8b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series194.0ms (3.1%)

Counts

4 → 60

Calls

4 calls:

76.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
43.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
43.0ms	(cbrt.f64 A)
31.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
27×	`add-exp-log_binary64`
26×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64`

Counts

4 → 114

Calls

4 calls:

12.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
12.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
6.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

simplify128.0ms (2%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
401×	`*-commutative_binary64`
383×	`associate-/l/_binary64`
276×	`unswap-sqr_binary64`
275×	`associate-/r*_binary64`

Counts

174 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2248
1	429	1954
2	1568	1941
3	3749	1927
4	4729	1927
5	4945	1927
6	4963	1927

prune208.0ms (3.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	214	9	223
Fresh	6	7	13
Picked	1	0	1
Done	0	1	1
Total	221	17	238

Error

4.5b

Counts

238 → 17

Alt Table

Status	Error	Program
	52.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	20.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	18.4b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	22.6b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	19.2b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
✓	19.0b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	42.5b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	18.4b	(.f64 (.f64 c0 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	19.6b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	54.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (log.f64 (exp.f64 (cbrt.f64 A))) l))))
	22.3b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
▶	17.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	18.1b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	42.6b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	52.0b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
	19.7b	(.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)))))
	42.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))

Compiler

Compiled 5226 to 1488 computations (71.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.9b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓	3.9b	(/.f64 (/.f64 A l) V)
✓	16.8b	(sqrt.f64 (/.f64 (/.f64 A l) V))

series141.0ms (2.2%)

Counts

3 → 48

Calls

3 calls:

77.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
40.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))
25.0ms	(/.f64 (/.f64 A l) V)

rewrite42.0ms (0.7%)

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 l) V)))
5.0ms	(/.f64 (/.f64 A l) V)
5.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))

simplify190.0ms (3%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
565×	`fma-def_binary64`
384×	`associate-/l/_binary64`
301×	`associate-l_binary64`
291×	`div-sub_binary64`

Counts

245 → 279

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4078
1	539	3931
2	1320	3881
3	2679	3881
4	2781	3881
5	3004	3881
6	3520	3881
7	5052	3881

prune263.0ms (4.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	266	13	279
Fresh	12	3	15
Picked	1	0	1
Done	1	0	1
Total	280	16	296

Error

0.0b

Counts

296 → 16

Alt Table

Status	Error	Program
	8.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 V)))))
	22.3b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	7.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 l) (cbrt.f64 l))) 1))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) V)))
	19.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 (sqrt.f64 l)) (*.f64 (cbrt.f64 V) (cbrt.f64 V))))) (sqrt.f64 (/.f64 (/.f64 A (sqrt.f64 l)) (cbrt.f64 V))))
▶	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
	42.6b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	1.9b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))))
	12.3b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A l)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A l)) V)))
	18.1b	(.f64 (.f64 c0 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 A l) V)) (cbrt.f64 (/.f64 (/.f64 A l) V))))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 A l) V))))
	14.8b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	23.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A (sqrt.f64 l)) V)))
	49.8b	(*.f64 c0 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))))
	39.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 A (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 1 l) (cbrt.f64 V)))))
	42.6b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 (/.f64 1 l) V)))
	19.6b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	11.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 V) (cbrt.f64 V))))) (sqrt.f64 (/.f64 (/.f64 A l) (cbrt.f64 V))))

Compiler

Compiled 5523 to 1642 computations (70.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series499.0ms (7.9%)

Counts

3 → 48

Calls

3 calls:

439.0ms	(/.f64 (cbrt.f64 A) (cbrt.f64 l))
30.0ms	(cbrt.f64 V)
29.0ms	(cbrt.f64 l)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

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

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

875×	`fma-def_binary64`
503×	`associate-l_binary64`
419×	`associate-/r*_binary64`
405×	`associate-/l/_binary64`
384×	`times-frac_binary64`

Counts

136 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1814
1	224	1740
2	487	1683
3	1312	1495
4	3943	1495
5	5105	1495

prune259.0ms (4.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	290	6	296
Fresh	4	11	15
Picked	0	1	1
Done	0	0	0
Total	294	18	312

Error

0.0b

Counts

312 → 18

Alt Table

Status	Error	Program
	8.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 V)))))
	22.3b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	7.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 l) (cbrt.f64 l))) 1))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) V)))
	42.6b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	1.9b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))))
	14.0b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (sqrt.f64 l))) (cbrt.f64 (sqrt.f64 l))) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
	12.3b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A l)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A l)) V)))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (cbrt.f64 l)))) (cbrt.f64 (cbrt.f64 l))) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
	14.8b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	9.1b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 A l))) (cbrt.f64 (cbrt.f64 (/.f64 A l)))) (cbrt.f64 (cbrt.f64 (/.f64 A l)))) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
	18.1b	(.f64 (.f64 c0 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 A l) V)) (cbrt.f64 (/.f64 (/.f64 A l) V))))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 A l) V))))
	23.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 A (sqrt.f64 l)) V)))
✓	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
	18.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (cbrt.f64 A))) (cbrt.f64 l)) (cbrt.f64 V))))
	39.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 A (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 1 l) (cbrt.f64 V)))))
	1.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l))) (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
	1.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l))) (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (cbrt.f64 V))))
	19.6b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))

Compiler

Compiled 8552 to 2056 computations (76% saved)

regimes1.9s (29.9%)

Accuracy

Total 1.0b remaining (88.6%)

Threshold costs 0b (0%)

Counts

214 → 1

Compiler

Compiled 44919 to 25955 computations (42.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	19	35
2	22	35
3	22	35

end8.0ms (0.1%)

Remove: (sort V l)
Compiler: Compiled 75 to 39 computations (48% saved)

sample1.3s (19.8%)

Algorithm

1×

intervals

Results

430.0ms	8000×	body	128	valid
143.0ms	3053×	body	128	nan
40.0ms	864×	body	128	invalid

Compiler

Compiled 504 to 279 computations (44.6% saved)

Details

analyze643.0ms (10.1%)

sample56.0ms (0.9%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series160.0ms (2.5%)

rewrite17.0ms (0.3%)

simplify95.0ms (1.5%)

prune101.0ms (1.6%)

localize9.0ms (0.1%)

series194.0ms (3.1%)

rewrite39.0ms (0.6%)

simplify128.0ms (2%)

prune208.0ms (3.3%)

localize9.0ms (0.1%)

series141.0ms (2.2%)

rewrite42.0ms (0.7%)

simplify190.0ms (3%)

prune263.0ms (4.1%)

localize12.0ms (0.2%)

series499.0ms (7.9%)

rewrite10.0ms (0.2%)

simplify90.0ms (1.4%)

prune259.0ms (4.1%)

regimes1.9s (29.9%)

simplify2.0ms (0%)

end8.0ms (0.1%)

sample1.3s (19.8%)

Profiling