Details

analyze658.0ms (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)

sample1.4s (22%)

Symmetry

(sort V l)

Results

966.0ms	8256×	body	128	valid
429.0ms	3980×	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

21.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	21.5b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	6.6b	(/.f64 A (*.f64 V l))
✓	15.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series124.0ms (1.9%)

Counts

3 → 12

Calls

3 calls:

66.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
39.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
18.0ms	(/.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 (1.5%)

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

prune82.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	72	14	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	14	87

Error

9.5b

Counts

87 → 14

Alt Table

Status	Error	Program
	19.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	55.3b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
▶	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.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)))))
	42.5b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	19.6b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	43.1b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	43.4b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	55.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	22.2b	(.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)))))
	54.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	55.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	40.8b	(.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 1692 to 603 computations (64.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 A)
✓	2.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
✓	4.1b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	15.4b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series168.0ms (2.6%)

Counts

4 → 60

Calls

4 calls:

68.0ms	(.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)))
33.0ms	(cbrt.f64 A)
27.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

rewrite33.0ms (0.5%)

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))
8.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
5.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

simplify129.0ms (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

prune170.0ms (2.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	216	7	223
Fresh	5	8	13
Picked	0	1	1
Done	0	0	0
Total	221	16	237

Error

6.5b

Counts

237 → 16

Alt Table

Status	Error	Program
▶	19.4b	(.f64 c0 (.f64 (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))))))
	42.5b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	19.6b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	27.1b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.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)))))
	19.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	54.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	25.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	43.2b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 A))) (sqrt.f64 (.f64 V l))))
	40.8b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))
	43.1b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	54.8b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
	54.9b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (cbrt.f64 A) l)))) (sqrt.f64 V))
	43.4b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))

Compiler

Compiled 5093 to 1449 computations (71.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 c0 (.f64 (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))))))
✓	3.1b	(sqrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	4.1b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
	15.4b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series660.0ms (10.1%)

Counts

2 → 40

Calls

2 calls:

592.0ms

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

68.0ms

(*.f64 c0 (*.f64 (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))))))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`sqrt-div_binary64`
27×	`associate-*r/_binary64`
18×	`frac-times_binary64`
12×	`associate-*l/_binary64`
11×	`pow1_binary64`

Counts

2 → 58

Calls

2 calls:

26.0ms

(*.f64 c0 (*.f64 (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))))))

6.0ms

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-*r/_binary64`
707×	`associate-*l/_binary64`
241×	`associate-l_binary64`
185×	`associate-/r/_binary64`
177×	`exp-sum_binary64`

Counts

98 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1599
1	275	1468
2	541	1468
3	1542	1300
4	5214	1300

prune328.0ms (5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	396	1	397
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	397	16	413

Error

6.5b

Counts

413 → 16

Alt Table

Status	Error	Program
✓	19.4b	(.f64 c0 (.f64 (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))))))
	42.5b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	19.6b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	27.1b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.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)))))
▶	19.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	43.3b	(/.f64 (.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 A)))) (sqrt.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 A)))))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 V l))) (sqrt.f64 (sqrt.f64 (*.f64 V l)))))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	54.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	25.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	43.1b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	54.8b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
	54.9b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (cbrt.f64 A) l)))) (sqrt.f64 V))
	43.4b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	40.8b	(.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 14617 to 2397 computations (83.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓	4.7b	(/.f64 (/.f64 A l) V)
✓	15.4b	(sqrt.f64 (/.f64 (/.f64 A l) V))

series118.0ms (1.8%)

Counts

3 → 48

Calls

3 calls:

62.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
39.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))
17.0ms	(/.f64 (/.f64 A l) V)

rewrite43.0ms (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:

14.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
4.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))
4.0ms	(/.f64 (/.f64 A l) V)

simplify188.0ms (2.9%)

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

prune246.0ms (3.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	267	12	279
Fresh	8	5	13
Picked	0	1	1
Done	1	1	2
Total	276	19	295

Error

0.1b

Counts

295 → 19

Alt Table

Status	Error	Program
	8.1b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) l) (cbrt.f64 V))))
	42.0b	(cbrt.f64 (.f64 (.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))
	9.5b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) 1) (.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) l) (cbrt.f64 V)))))
	7.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) V)))
	21.3b	(.f64 c0 (.f64 (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)))))
	7.3b	(.f64 c0 (.f64 (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))))
	22.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
✓	19.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	41.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 V) (cbrt.f64 V))))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) l) (cbrt.f64 V))))
	14.4b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 (/.f64 A l))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A l)) V))))
	21.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	25.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	12.2b	(.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)))))
✓	19.4b	(.f64 c0 (.f64 (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))))))
	27.1b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	23.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.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))))
	40.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 l)) V)))
	40.8b	(.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 5293 to 1478 computations (72.1% saved)

regimes1.5s (23.3%)

Accuracy

Total 1.0b remaining (90.8%)

Threshold costs 0b (0%)

Counts

183 → 1

Compiler

Compiled 33465 to 19716 computations (41.1% 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

end365.0ms (5.6%)

Compiler: Compiled 534 to 286 computations (46.4% saved)

Details

analyze658.0ms (10.1%)

sample1.4s (22%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series124.0ms (1.9%)

rewrite14.0ms (0.2%)

simplify95.0ms (1.5%)

prune82.0ms (1.3%)

localize9.0ms (0.1%)

series168.0ms (2.6%)

rewrite33.0ms (0.5%)

simplify129.0ms (2%)

prune170.0ms (2.6%)

localize16.0ms (0.2%)

series660.0ms (10.1%)

rewrite39.0ms (0.6%)

simplify61.0ms (0.9%)

prune328.0ms (5%)

localize6.0ms (0.1%)

series118.0ms (1.8%)

rewrite43.0ms (0.7%)

simplify188.0ms (2.9%)

prune246.0ms (3.8%)

regimes1.5s (23.3%)

simplify2.0ms (0%)

end365.0ms (5.6%)

Profiling