Details

analyze655.0ms (5.8%)

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)

sample1.5s (13.1%)

Symmetry

(sort V l)

Results

1000.0ms	8256×	body	128	valid
434.0ms	3919×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify10.0ms (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

20.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	20.5b	(.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
✓	0.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	7.0b	(/.f64 A (*.f64 V l))
✓	17.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series139.0ms (1.2%)

Counts

3 → 12

Calls

3 calls:

85.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
37.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.0ms	(/.f64 A (*.f64 V l))

rewrite15.0ms (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))
3.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify100.0ms (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

prune84.0ms (0.8%)

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

8.2b

Counts

87 → 16

Alt Table

Status	Error	Program
	20.8b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
▶	18.5b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	22.7b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	20.6b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	21.1b	(.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)))))
	19.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	21.1b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	21.7b	(.f64 c0 (sqrt.f64 (expm1.f64 (log1p.f64 (/.f64 A (.f64 V l))))))
	20.5b	(.f64 (.f64 c0 1) (sqrt.f64 (/.f64 A (*.f64 V l))))
	21.0b	(.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))))))
	49.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	42.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))
	39.5b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	48.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	39.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	38.8b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Compiler

Compiled 1750 to 635 computations (63.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	4.1b	(/.f64 (/.f64 A V) l)
✓	17.7b	(sqrt.f64 (/.f64 (/.f64 A V) l))

series127.0ms (1.1%)

Counts

3 → 48

Calls

3 calls:

72.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
39.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
16.0ms	(/.f64 (/.f64 A V) l)

rewrite44.0ms (0.4%)

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:

12.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
6.0ms	(/.f64 (/.f64 A V) l)
5.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))

simplify300.0ms (2.7%)

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

prune363.0ms (3.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	261	19	280
Fresh	13	2	15
Picked	1	0	1
Done	0	0	0
Total	275	21	296

Error

0.0b

Counts

296 → 21

Alt Table

Status	Error	Program
	18.6b	(.f64 c0 (.f64 (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)))))
	19.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	23.3b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 (/.f64 A V))) (sqrt.f64 l))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (sqrt.f64 l)))))
	15.5b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	48.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 1 V) (sqrt.f64 l))))
	12.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))))
	6.8b	(.f64 c0 (.f64 (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)))))
	22.9b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	14.3b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) l)))
	23.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 (/.f64 1 l)))
	18.9b	(.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))))
	3.8b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l))))
	23.5b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
▶	1.1b	(.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)))))
	6.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 V) (cbrt.f64 V))) 1))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	16.6b	(.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))))
	24.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 A V)) l)))
	35.3b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))))
	18.5b	(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
	5.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	39.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))

Compiler

Compiled 5755 to 1780 computations (69.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.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))))
✓	0.5b	(cbrt.f64 l)
✓	0.6b	(cbrt.f64 V)
✓	0.6b	(cbrt.f64 A)

series1.0s (9%)

Counts

4 → 72

Calls

4 calls:

877.0ms	(*.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))))
76.0ms	(cbrt.f64 A)
31.0ms	(cbrt.f64 l)
30.0ms	(cbrt.f64 V)

rewrite1.0s (9.1%)

Algorithm

1×	rewrite-expression-head

Rules

1928×	`add-sqr-sqrt_binary64`
1794×	`times-frac_binary64`
1318×	`cbrt-prod_binary64`
497×	`sqrt-prod_binary64`
471×	`*-un-lft-identity_binary64`

Counts

4 → 848

Calls

4 calls:

640.0ms	(*.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))))
3.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 V)

simplify842.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

735×	`associate-*l/_binary64`
630×	`associate-*r/_binary64`
539×	`*-commutative_binary64`
448×	`associate-/l/_binary64`
255×	`associate-/r*_binary64`

Counts

920 → 1373

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1130	44156
1	2387	42096
2	5530	42096

prune1.1s (10.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1418	6	1424
Fresh	5	15	20
Picked	0	1	1
Done	0	0	0
Total	1423	22	1445

Error

0.0b

Counts

1445 → 22

Alt Table

Status	Error	Program
	18.6b	(.f64 c0 (.f64 (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)))))
	19.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	15.5b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	48.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 1 V) (sqrt.f64 l))))
	12.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))))
	6.8b	(.f64 c0 (.f64 (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)))))
	23.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 (/.f64 1 l)))
	14.3b	(.f64 c0 (.f64 (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)))))
	16.2b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (exp.f64 (log.f64 (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))))
	1.2b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A))) 1) 1)) (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))))
	23.5b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	1.1b	(.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)))))
	1.2b	(.f64 c0 (.f64 (*.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)) (fabs.f64 (cbrt.f64 (cbrt.f64 A)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)) (cbrt.f64 l)))))
	6.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 V) (cbrt.f64 V))) 1))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	16.6b	(.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))))
	24.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 A V)) l)))
▶	1.1b	(.f64 c0 (.f64 (*.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))))
	35.3b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))))
	1.5b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (cbrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l))))) (*.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))))
	18.5b	(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
	5.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	39.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))

Compiler

Compiled 56935 to 8570 computations (84.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
	0.5b	(cbrt.f64 l)
	0.6b	(cbrt.f64 V)
	0.6b	(cbrt.f64 A)

series486.0ms (4.3%)

Counts

1 → 24

Calls

1 calls:

486.0ms

(/.f64 (cbrt.f64 A) (cbrt.f64 V))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 62

Calls

1 calls:

4.0ms

(/.f64 (cbrt.f64 A) (cbrt.f64 V))

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
417×	`fma-neg_binary64`
391×	`div-sub_binary64`
300×	`times-frac_binary64`
273×	`log-prod_binary64`

Counts

86 → 92

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	111	1536
1	178	1502
2	325	1474
3	645	1300
4	1312	1219
5	3182	1203
6	3999	1203
7	4967	1203

prune403.0ms (3.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	428	1	429
Fresh	1	19	20
Picked	1	0	1
Done	0	1	1
Total	430	21	451

Error

0.0b

Counts

451 → 21

Alt Table

Status	Error	Program
	18.6b	(.f64 c0 (.f64 (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)))))
	19.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	15.5b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) l)))
	48.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A (sqrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 1 V) (sqrt.f64 l))))
	12.2b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))))
	6.8b	(.f64 c0 (.f64 (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)))))
	1.5b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (cbrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l))))) (*.f64 (fabs.f64 (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))))
	12.1b	(.f64 c0 (.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))))
	23.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 (/.f64 1 l)))
	14.3b	(.f64 c0 (.f64 (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)))))
	16.2b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (exp.f64 (log.f64 (cbrt.f64 l))))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))))
	1.2b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A))) 1) 1)) (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)) (cbrt.f64 l))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))))
	23.5b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	1.1b	(.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)))))
	6.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 V) (cbrt.f64 V))) 1))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) l)))
	16.6b	(.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))))
	24.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A V)))) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 A V)) l)))
	35.3b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))))
	18.5b	(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
	5.3b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) V) (cbrt.f64 l))))
	39.5b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))

Compiler

Compiled 16934 to 3211 computations (81% saved)

regimes2.4s (21.6%)

Accuracy

Total 1.2b remaining (50.6%)

Threshold costs 0b (0%)

Counts

274 → 1

Compiler

Compiled 53317 to 31504 computations (40.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	18	54
2	18	54

end419.0ms (3.7%)

Compiler: Compiled 664 to 358 computations (46.1% saved)

Details

analyze655.0ms (5.8%)

sample1.5s (13.1%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series139.0ms (1.2%)

rewrite15.0ms (0.1%)

simplify100.0ms (0.9%)

prune84.0ms (0.8%)

localize6.0ms (0.1%)

series127.0ms (1.1%)

rewrite44.0ms (0.4%)

simplify300.0ms (2.7%)

prune363.0ms (3.2%)

localize12.0ms (0.1%)

series1.0s (9%)

rewrite1.0s (9.1%)

simplify842.0ms (7.5%)

prune1.1s (10.2%)

localize13.0ms (0.1%)

series486.0ms (4.3%)

rewrite8.0ms (0.1%)

simplify112.0ms (1%)

prune403.0ms (3.6%)

regimes2.4s (21.6%)

simplify4.0ms (0%)

end419.0ms (3.7%)

Profiling