Details

analyze662.0ms (9.2%)

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)

sample51.0ms (0.7%)

Algorithm

1×

intervals

Symmetry

(sort V l)

Results

15.0ms	256×	body	128	valid
4.0ms	82×	body	128	nan
1.0ms	14×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify11.0ms (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

prune1.0ms (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

19.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.9b	(.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
✓	1.6b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	6.6b	(/.f64 A (*.f64 V l))
✓	14.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series125.0ms (1.7%)

Counts

3 → 12

Calls

3 calls:

66.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
42.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
17.0ms	(/.f64 A (*.f64 V l))

rewrite16.0ms (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:

7.0ms	(.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)))

simplify94.0ms (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

prune88.0ms (1.2%)

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

9.2b

Counts

87 → 15

Alt Table

Status	Error	Program
	37.3b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
✓	19.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	49.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	47.1b	(cbrt.f64 (.f64 (.f64 (.f64 c0 c0) c0) (.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (/.f64 A (.f64 V l))))))
	22.1b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	20.5b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
▶	16.8b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	38.5b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	20.0b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	49.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	20.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	17.6b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	17.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	39.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))

Compiler

Compiled 1684 to 611 computations (63.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 A)
✓	1.6b	(.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))
✓	14.7b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series177.0ms (2.5%)

Counts

4 → 60

Calls

4 calls:

69.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
44.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
34.0ms	(cbrt.f64 A)
30.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

rewrite38.0ms (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))
11.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
7.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

simplify127.0ms (1.8%)

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

prune183.0ms (2.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	216	7	223
Fresh	5	8	13
Picked	1	0	1
Done	1	0	1
Total	223	15	238

Error

5.7b

Counts

238 → 15

Alt Table

Status	Error	Program
	17.2b	(.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))))))
	37.3b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	25.4b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	20.5b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	25.6b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	38.5b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	20.0b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	22.1b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	17.3b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	20.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	24.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶	17.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) l))))
	23.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	17.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))

Compiler

Compiled 5156 to 1462 computations (71.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 A)
✓	1.6b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) l))))
✓	3.6b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) l))
✓	14.7b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) l)))

series149.0ms (2.1%)

Counts

3 → 48

Calls

3 calls:

73.0ms

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

43.0ms

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

33.0ms

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

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-exp-log_binary64`
39×	`add-cbrt-cube_binary64`
26×	`cbrt-unprod_binary64`
26×	`prod-exp_binary64`
17×	`cbrt-undiv_binary64`

Counts

3 → 94

Calls

3 calls:

16.0ms

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

16.0ms

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

11.0ms

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

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

569×	`associate-/l/_binary64`
481×	`associate-/r*_binary64`
442×	`*-commutative_binary64`
417×	`associate-/r/_binary64`
346×	`fma-neg_binary64`

Counts

142 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1809
1	340	1581
2	1497	1560
3	4273	1560
4	4892	1560
5	5149	1560

prune195.0ms (2.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	236	15	251

Error

5.7b

Counts

251 → 15

Alt Table

Status	Error	Program
▶	17.2b	(.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))))))
	37.3b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	25.4b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	20.5b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	25.6b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	38.5b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	20.0b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	22.1b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	17.3b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	20.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	24.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	17.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) l))))
	23.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	17.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))

Compiler

Compiled 7346 to 1544 computations (79% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(.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))
✓	6.3b	(cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	14.7b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series1.5s (21.2%)

Counts

1 → 40

Calls

1 calls:

1.5s	(cbrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

rewrite10.0ms (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:

9.0ms

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

simplify81.0ms (1.1%)

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

prune498.0ms (6.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	618	0	618
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	618	15	633

Error

5.7b

Counts

633 → 15

Alt Table

Status	Error	Program
✓	17.2b	(.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))))))
	37.3b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	25.4b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	20.5b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	25.6b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	38.5b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	20.0b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	49.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	22.1b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	17.3b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
	20.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	24.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	17.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A))) l))))
	23.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	17.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))

Compiler

Compiled 34401 to 3318 computations (90.4% saved)

regimes1.6s (21.7%)

Accuracy

Total 2.8b remaining (33.3%)

Threshold costs 0b (0%)

Counts

104 → 5

Compiler

Compiled 22524 to 11797 computations (47.6% saved)

bsearch4.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	102
1	43	102
2	42	102

end7.0ms (0.1%)

Compiler: Compiled 213 to 99 computations (53.5% saved)

sample1.4s (19.4%)

Algorithm

1×

intervals

Results

414.0ms	8000×	body	128	valid
149.0ms	2925×	body	128	nan
43.0ms	860×	body	128	invalid

Compiler

Compiled 390 to 211 computations (45.9% saved)

Details

analyze662.0ms (9.2%)

sample51.0ms (0.7%)

simplify11.0ms (0.1%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series125.0ms (1.7%)

rewrite16.0ms (0.2%)

simplify94.0ms (1.3%)

prune88.0ms (1.2%)

localize9.0ms (0.1%)

series177.0ms (2.5%)

rewrite38.0ms (0.5%)

simplify127.0ms (1.8%)

prune183.0ms (2.5%)

localize14.0ms (0.2%)

series149.0ms (2.1%)

rewrite59.0ms (0.8%)

simplify100.0ms (1.4%)

prune195.0ms (2.7%)

localize14.0ms (0.2%)

series1.5s (21.2%)

rewrite10.0ms (0.1%)

simplify81.0ms (1.1%)

prune498.0ms (6.9%)

regimes1.6s (21.7%)

bsearch4.0ms (0.1%)

simplify3.0ms (0%)

end7.0ms (0.1%)

sample1.4s (19.4%)

Profiling