Details

analyze688.0ms (6.8%)

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 (15.7%)

Symmetry

(sort V l)

Results

1.0s	8256×	body	128	valid
513.0ms	3951×	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

20.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	20.7b	(.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
✓	2.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	4.6b	(/.f64 A (*.f64 V l))
✓	16.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series116.0ms (1.1%)

Counts

3 → 12

Calls

3 calls:

64.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
35.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.0ms	(/.f64 A (*.f64 V l))

rewrite14.0ms (0.1%)

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)))

simplify96.0ms (0.9%)

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

prune77.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	73	13	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	13	87

Error

10.0b

Counts

87 → 13

Alt Table

Status	Error	Program
	48.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	20.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	38.2b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	21.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
▶	19.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	50.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	21.0b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l))))))
	21.3b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	21.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	39.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	38.5b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	21.2b	(.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))))))

Compiler

Compiled 1664 to 581 computations (65.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 A)
✓	2.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
✓	3.6b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	16.6b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series176.0ms (1.7%)

Counts

4 → 60

Calls

4 calls:

72.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
39.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
37.0ms	(cbrt.f64 A)
27.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

rewrite39.0ms (0.4%)

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:

11.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
10.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
10.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

simplify127.0ms (1.3%)

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

prune180.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	217	6	223
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	220	16	236

Error

5.5b

Counts

236 → 16

Alt Table

Status	Error	Program
	39.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	23.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	48.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	26.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	20.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	38.2b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	21.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	21.3b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	21.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	24.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (sqrt.f64 l)))
	38.5b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	39.0b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 A)))) (sqrt.f64 (.f64 V l)))
	38.5b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
▶	19.7b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	50.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))

Compiler

Compiled 5200 to 1478 computations (71.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	3.6b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	6.7b	(cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	16.6b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series1.3s (12.9%)

Counts

1 → 40

Calls

1 calls:

1.3s	(cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`associate-*r/_binary64`
3×	`cbrt-div_binary64`
3×	`sqrt-div_binary64`
1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`

Counts

1 → 14

Calls

1 calls:

7.0ms

(cbrt.f64 (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
510×	`exp-sum_binary64`
493×	`associate-l_binary64`
469×	`fma-neg_binary64`
418×	`associate-r_binary64`

Counts

54 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	920
1	192	920
2	376	920
3	1140	900
4	3310	888
5	4941	888
6	4965	888

prune501.0ms (4.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	617	1	618
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	617	17	634

Error

5.5b

Counts

634 → 17

Alt Table

Status	Error	Program
	39.1b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	23.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	48.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	26.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
▶	20.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	38.2b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	21.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	21.3b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	21.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	24.0b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (.f64 (cbrt.f64 c0) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	24.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (sqrt.f64 l)))
	38.5b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	39.0b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 A)))) (sqrt.f64 (.f64 V l)))
	38.5b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
✓	19.7b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	50.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))

Compiler

Compiled 34789 to 3525 computations (89.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
✓	3.1b	(sqrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))
	4.6b	(/.f64 A (*.f64 V l))
	16.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series589.0ms (5.8%)

Counts

2 → 36

Calls

2 calls:

528.0ms	(sqrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))
60.0ms	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`sqrt-prod_binary64`
13×	`associate-r_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`sqrt-div_binary64`
9×	`*-un-lft-identity_binary64`

Counts

2 → 59

Calls

2 calls:

12.0ms	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
3.0ms	(sqrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-neg_binary64`
461×	`unswap-sqr_binary64`
396×	`fma-def_binary64`
254×	`sqr-pow_binary64`
246×	`div-sub_binary64`

Counts

95 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1643
1	254	1503
2	586	1503
3	911	1359
4	1414	1359
5	2651	1359
6	4575	1359
7	4992	1359

prune205.0ms (2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	207	3	210
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	210	17	227

Error

5.4b

Counts

227 → 17

Alt Table

Status	Error	Program
	48.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	26.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	38.2b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	21.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	50.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	42.1b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))
	21.3b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	21.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	23.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	24.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (sqrt.f64 l)))
	38.5b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	39.0b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 A)))) (sqrt.f64 (.f64 V l)))
	25.4b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
	38.5b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
✓	19.7b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	39.0b	(/.f64 (.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 A))) (sqrt.f64 (sqrt.f64 A))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 V l))) (sqrt.f64 (sqrt.f64 (*.f64 V l)))))

Compiler

Compiled 5126 to 1036 computations (79.8% saved)

regimes3.8s (37.5%)

Accuracy

Total 2.7b remaining (32%)

Threshold costs 0b (0%)

Counts

206 → 5

Compiler

Compiled 56840 to 27561 computations (51.5% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	105
1	44	105
2	43	105

end372.0ms (3.7%)

Compiler: Compiled 684 to 332 computations (51.5% saved)

Details

analyze688.0ms (6.8%)

sample1.6s (15.7%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series116.0ms (1.1%)

rewrite14.0ms (0.1%)

simplify96.0ms (0.9%)

prune77.0ms (0.8%)

localize10.0ms (0.1%)

series176.0ms (1.7%)

rewrite39.0ms (0.4%)

simplify127.0ms (1.3%)

prune180.0ms (1.8%)

localize13.0ms (0.1%)

series1.3s (12.9%)

rewrite8.0ms (0.1%)

simplify87.0ms (0.9%)

prune501.0ms (4.9%)

localize8.0ms (0.1%)

series589.0ms (5.8%)

rewrite19.0ms (0.2%)

simplify97.0ms (0.9%)

prune205.0ms (2%)

regimes3.8s (37.5%)

bsearch9.0ms (0.1%)

simplify3.0ms (0%)

end372.0ms (3.7%)

Profiling