Details

analyze595.0ms (8.1%)

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)

sample52.0ms (0.7%)

Algorithm

1×

intervals

Symmetry

(sort V l)

Results

11.0ms	256×	body	128	valid
4.0ms	95×	body	128	nan
1.0ms	29×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify7.0ms (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

18.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	18.4b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.6b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	4.2b	(/.f64 A (*.f64 V l))
✓	15.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series160.0ms (2.2%)

Counts

3 → 12

Calls

3 calls:

105.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
39.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
17.0ms	(/.f64 A (*.f64 V l))

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

simplify97.0ms (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

prune100.0ms (1.4%)

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

11.4b

Counts

87 → 13

Alt Table

Status	Error	Program
	37.9b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
▶	18.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	28.9b	(.f64 c0 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 A (.f64 V l))) 3)))
	19.0b	(.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)))))
	18.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	18.3b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	18.9b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	18.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	48.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	49.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	18.7b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	48.1b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	18.5b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))

Compiler

Compiled 1646 to 579 computations (64.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.6b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	4.5b	(*.f64 (/.f64 1 V) (/.f64 A l))
✓	15.4b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series124.0ms (1.7%)

Counts

3 → 48

Calls

3 calls:

67.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
39.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
17.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
27×	`add-exp-log_binary64`
25×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`

Counts

3 → 98

Calls

3 calls:

48.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
9.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
4.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

simplify140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

474×	`sqr-pow_binary64`
426×	`associate-*l/_binary64`
402×	`fabs-mul_binary64`
354×	`associate-/l*_binary64`
346×	`associate-*r/_binary64`

Counts

146 → 159

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	1670
1	321	1517
2	962	1517
3	2549	1517
4	2665	1517
5	3041	1517
6	3415	1517
7	4032	1517
8	4825	1517
9	5183	1517

prune159.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	154	5	159
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	160	12	172

Error

5.6b

Counts

172 → 12

Alt Table

Status	Error	Program
	18.4b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l)))))
	24.0b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	37.9b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
▶	17.3b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))))
	18.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	19.0b	(.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)))))
	18.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	18.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))) c0)
	18.9b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	25.1b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) A))) (sqrt.f64 l))
	48.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	49.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))

Compiler

Compiled 2966 to 1408 computations (52.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 l)
✓	1.6b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))))
✓	3.3b	(.f64 (.f64 (/.f64 1 V) (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))
✓	15.4b	(sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l))))

series191.0ms (2.6%)

Counts

4 → 60

Calls

4 calls:

70.0ms	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))))
43.0ms	(sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l))))
41.0ms	(cbrt.f64 l)
35.0ms	(.f64 (.f64 (/.f64 1 V) (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

261×	`add-exp-log_binary64`
139×	`prod-exp_binary64`
89×	`div-exp_binary64`
56×	`add-cbrt-cube_binary64`
31×	`cbrt-unprod_binary64`

Counts

4 → 182

Calls

4 calls:

18.0ms	(.f64 (.f64 (/.f64 1 V) (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))
17.0ms	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))))
11.0ms	(sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l))))
1.0ms	(cbrt.f64 l)

simplify164.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-/r*_binary64`
351×	`associate-l_binary64`
318×	`fma-neg_binary64`
313×	`fma-def_binary64`
277×	`log-div_binary64`

Counts

242 → 254

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	5107
1	499	2483
2	1960	2435
3	3837	2433
4	4759	2433
5	4915	2433
6	4966	2433

prune265.0ms (3.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	283	7	290
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	285	17	302

Error

4.6b

Counts

302 → 17

Alt Table

Status	Error	Program
	19.3b	(.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 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l))))))
	18.9b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	37.9b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	49.9b	(.f64 c0 (/.f64 (sqrt.f64 (/.f64 A (pow.f64 l 2/3))) (sqrt.f64 (.f64 V (cbrt.f64 l)))))
	18.4b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l)))))
	24.0b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	13.8b	(/.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))
✓	17.3b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))))
	24.3b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 1 V) A)) (sqrt.f64 (.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 l)))))
	18.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	18.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	18.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))) c0)
	34.7b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (log1p.f64 (expm1.f64 (cbrt.f64 l)))))))
▶	12.6b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))
	37.9b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 1 (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) A))) (sqrt.f64 (*.f64 V (cbrt.f64 l))))
	25.1b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) A))) (sqrt.f64 l))
	49.5b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))

Compiler

Compiled 7501 to 3240 computations (56.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 l)
✓	1.7b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))
✓	2.0b	(*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l)))
✓	11.1b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))

series792.0ms (10.7%)

Counts

3 → 60

Calls

3 calls:

588.0ms

(*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l)))

116.0ms

(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))

88.0ms

(/.f64 (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
43×	`times-frac_binary64`
30×	`add-exp-log_binary64`
28×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`

Counts

3 → 114

Calls

3 calls:

13.0ms

(*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l)))

12.0ms

(/.f64 (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))

6.0ms

(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-neg_binary64`
780×	`times-frac_binary64`
463×	`associate-/l/_binary64`
312×	`*-commutative_binary64`
273×	`associate-/r*_binary64`

Counts

174 → 193

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	206	2920
1	467	2610
2	1481	2610
3	3582	2600
4	3823	2600
5	4311	2486
6	4779	2486
7	5443	2486

prune226.0ms (3.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	240	7	247
Fresh	6	9	15
Picked	1	0	1
Done	0	1	1
Total	247	17	264

Error

4.2b

Counts

264 → 17

Alt Table

Status	Error	Program
	35.8b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 1 A))) (.f64 (sqrt.f64 (.f64 V (cbrt.f64 l))) (fabs.f64 (cbrt.f64 l))))
	18.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	18.4b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l)))))
	24.0b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	37.9b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
✓	17.3b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 1 V) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l)))))
	24.3b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 1 V) A)) (sqrt.f64 (.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 l)))))
	18.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	25.1b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) A))) (sqrt.f64 l))
	31.9b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A (log1p.f64 (expm1.f64 (cbrt.f64 l))))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))
	14.1b	(/.f64 (.f64 c0 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V (cbrt.f64 l))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V (cbrt.f64 l)))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V (cbrt.f64 l))))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))
	18.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))) c0)
	18.9b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))
	47.8b	(/.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l))))
	13.0b	(.f64 (/.f64 c0 (sqrt.f64 (fabs.f64 (cbrt.f64 l)))) (/.f64 (sqrt.f64 (/.f64 A (.f64 V (cbrt.f64 l)))) (sqrt.f64 (fabs.f64 (cbrt.f64 l)))))
	12.7b	(/.f64 (/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)))))
	13.9b	(/.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V (cbrt.f64 l)))) (/.f64 c0 (.f64 (cbrt.f64 (fabs.f64 (cbrt.f64 l))) (cbrt.f64 (fabs.f64 (cbrt.f64 l)))))) (cbrt.f64 (sqrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)))))

Compiler

Compiled 6256 to 2287 computations (63.4% saved)

regimes2.6s (35.3%)

Accuracy

Total 5.1b remaining (57.5%)

Threshold costs 0b (0%)

Counts

179 → 3

Compiler

Compiled 33550 to 20545 computations (38.8% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	43	97
2	42	97

end6.0ms (0.1%)

Compiler: Compiled 198 to 99 computations (50% saved)

sample1.3s (17.5%)

Algorithm

1×

intervals

Results

405.0ms	8000×	body	128	valid
133.0ms	2920×	body	128	nan
38.0ms	876×	body	128	invalid

Compiler

Compiled 449 to 267 computations (40.5% saved)

Details

analyze595.0ms (8.1%)

sample52.0ms (0.7%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series160.0ms (2.2%)

rewrite15.0ms (0.2%)

simplify97.0ms (1.3%)

prune100.0ms (1.4%)

localize7.0ms (0.1%)

series124.0ms (1.7%)

rewrite67.0ms (0.9%)

simplify140.0ms (1.9%)

prune159.0ms (2.2%)

localize12.0ms (0.2%)

series191.0ms (2.6%)

rewrite74.0ms (1%)

simplify164.0ms (2.2%)

prune265.0ms (3.6%)

localize11.0ms (0.2%)

series792.0ms (10.7%)

rewrite40.0ms (0.5%)

simplify158.0ms (2.1%)

prune226.0ms (3.1%)

regimes2.6s (35.3%)

bsearch8.0ms (0.1%)

simplify3.0ms (0%)

end6.0ms (0.1%)

sample1.3s (17.5%)

Profiling