Details

analyze800.0ms (8.9%)

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)

sample40.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	75×	body	128	nan
1.0ms	18×	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

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

17.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	17.0b	(.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
✓	0.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	5.7b	(/.f64 A (*.f64 V l))
✓	14.5b	(sqrt.f64 (/.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:

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)))

series165.0ms (1.8%)

Counts

3 → 12

Calls

3 calls:

80.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
55.0ms	(/.f64 A (*.f64 V l))
29.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify116.0ms (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 → 115

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

prune98.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	99	16	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	16	116

Error

9.2b

Counts

116 → 16

Alt Table

Status	Error	Program
	44.7b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	46.9b	(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))))))
▶	15.8b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	52.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	37.8b	(exp.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))
	17.7b	(.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)))))
	52.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	18.2b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	42.4b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	19.4b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	41.2b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	17.4b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	52.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	17.2b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	39.8b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	16.5b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))

Compiler

Compiled 1756 to 645 computations (63.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	4.0b	(*.f64 (/.f64 1 V) (/.f64 A l))
✓	14.5b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite26.0ms (0.3%)

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:

9.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
8.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
4.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series186.0ms (2.1%)

Counts

3 → 48

Calls

3 calls:

81.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
71.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
33.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

simplify173.0ms (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 → 232

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

prune161.0ms (1.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	225	7	232
Fresh	9	6	15
Picked	0	1	1
Done	0	0	0
Total	234	14	248

Error

5.6b

Counts

248 → 14

Alt Table

Status	Error	Program
	44.7b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	46.9b	(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))))))
✓	15.8b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	18.3b	(.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))))
▶	16.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))))
	18.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
	52.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	53.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
	25.9b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	23.2b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 1 V) A)) (sqrt.f64 l)))
	21.2b	(.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 (/.f64 1 V) (/.f64 A l)))))
	17.2b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	39.8b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	42.4b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Compiler

Compiled 3014 to 1439 computations (52.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))))
✓	1.8b	(*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))
✓	2.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))
✓	14.5b	(sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

297×	`add-exp-log_binary64`
155×	`prod-exp_binary64`
100×	`div-exp_binary64`
69×	`add-cbrt-cube_binary64`
59×	`add-sqr-sqrt_binary64`

Counts

4 → 225

Calls

4 calls:

16.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))
15.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))))
12.0ms	(*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))
11.0ms	(sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))

series1.3s (14.5%)

Counts

4 → 84

Calls

4 calls:

1.1s	(*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))
104.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))
95.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))))
43.0ms	(sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))

simplify194.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

488×	`*-commutative_binary64`
447×	`associate-/l/_binary64`
341×	`associate-/r*_binary64`
259×	`fma-def_binary64`
248×	`associate-r_binary64`

Counts

309 → 562

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	5799
1	554	3460
2	1706	3334
3	3228	3310
4	4577	3310
5	4947	3310

prune256.0ms (2.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	553	9	562
Fresh	3	9	12
Picked	1	0	1
Done	1	0	1
Total	558	18	576

Error

2.3b

Counts

576 → 18

Alt Table

Status	Error	Program
	22.7b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) A))) (sqrt.f64 (.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)) l))))
	26.2b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) A)))) (sqrt.f64 l))
	23.2b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 1 V) A)) (sqrt.f64 l)))
	44.7b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	46.9b	(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))))))
	24.1b	(/.f64 (.f64 c0 (sqrt.f64 (/.f64 A (cbrt.f64 V)))) (sqrt.f64 (.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)) l)))
	21.2b	(.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 (/.f64 1 V) (/.f64 A l)))))
	17.2b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	17.0b	(pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 1)
	18.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
	52.4b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) l))))
	53.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
▶	11.2b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	20.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))))
	25.9b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	43.8b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 1 A)))) (sqrt.f64 (*.f64 (cbrt.f64 V) l)))
	14.3b	(/.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l (cbrt.f64 V))))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V))))
	12.7b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))))) (sqrt.f64 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))

Compiler

Compiled 8901 to 3811 computations (57.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 V)
✓	0.7b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l)))) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	1.8b	(*.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))
✓	11.5b	(sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
18×	`times-frac_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

16.0ms

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

6.0ms

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

1.0ms

(cbrt.f64 V)

series640.0ms (7.2%)

Counts

3 → 36

Calls

3 calls:

311.0ms

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

219.0ms

(cbrt.f64 V)

110.0ms

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

simplify142.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

647×	`times-frac_binary64`
399×	`associate-l_binary64`
344×	`associate-r_binary64`
334×	`associate-/l*_binary64`
306×	`fma-def_binary64`

Counts

108 → 182

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1799
1	275	1572
2	789	1549
3	3178	1408
4	3714	1408
5	4677	1408
6	4954	1408

prune240.0ms (2.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	383	10	393
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	389	22	411

Error

1.0b

Counts

411 → 22

Alt Table

Status	Error	Program
	22.7b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) A))) (sqrt.f64 (.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)) l))))
	26.2b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) A)))) (sqrt.f64 l))
	36.7b	(.f64 (.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))) (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))) (.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))) (sqrt.f64 (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))))))
	44.7b	(.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (/.f64 1 (*.f64 V l))))
	46.9b	(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))))))
	9.8b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (cbrt.f64 V)) (/.f64 (cbrt.f64 A) l)))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	9.9b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	16.7b	(.f64 c0 (/.f64 (/.f64 (sqrt.f64 (/.f64 A (cbrt.f64 V))) (sqrt.f64 l)) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	21.2b	(.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 (/.f64 1 V) (/.f64 A l)))))
	9.8b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 (cbrt.f64 (/.f64 1 V)) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 A (cbrt.f64 l))))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	16.7b	(.f64 c0 (/.f64 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 V)) A))) (sqrt.f64 l)) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	17.2b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	17.0b	(pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 1)
	53.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
	20.8b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 A l))))))
	25.9b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	43.8b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 V) (cbrt.f64 V))) (.f64 1 A)))) (sqrt.f64 (*.f64 (cbrt.f64 V) l)))
	11.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (cbrt.f64 (/.f64 -1 V)) (/.f64 A (.f64 l (cbrt.f64 -1)))))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	21.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 1 (.f64 (/.f64 (cbrt.f64 (/.f64 1 V)) (sqrt.f64 l)) (/.f64 A (sqrt.f64 l))))) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	39.9b	(.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l (cbrt.f64 V)))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V)))))
	18.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
	22.7b	(.f64 c0 (/.f64 (.f64 (pow.f64 (/.f64 -1 V) 1/6) (sqrt.f64 (/.f64 A (.f64 (cbrt.f64 -1) l)))) (sqrt.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)))))

Compiler

Compiled 7223 to 3014 computations (58.3% saved)

regimes2.5s (27.9%)

Accuracy

Total 2.9b remaining (66.6%)

Threshold costs 0b (0%)

Compiler

Compiled 34759 to 21148 computations (39.2% saved)

bsearch65.0ms (0.7%)

Steps

Iters	Range		Point
10	-4.969957345082409e-289	-9.193487985181927e-308	-9.463703661952438e-308

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	34	65
2	33	65

end7.0ms (0.1%)

Compiler: Compiled 132 to 72 computations (45.5% saved)

sample1.7s (18.6%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
132.0ms	2970×	body	128	nan
40.0ms	830×	body	128	invalid

Compiler

Compiled 609 to 383 computations (37.1% saved)

Details

analyze800.0ms (8.9%)

sample40.0ms (0.4%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.2%)

series165.0ms (1.8%)

simplify116.0ms (1.3%)

prune98.0ms (1.1%)

localize8.0ms (0.1%)

rewrite26.0ms (0.3%)

series186.0ms (2.1%)

simplify173.0ms (1.9%)

prune161.0ms (1.8%)

localize13.0ms (0.1%)

rewrite72.0ms (0.8%)

series1.3s (14.5%)

simplify194.0ms (2.2%)

prune256.0ms (2.9%)

localize14.0ms (0.2%)

rewrite29.0ms (0.3%)

series640.0ms (7.2%)

simplify142.0ms (1.6%)

prune240.0ms (2.7%)

regimes2.5s (27.9%)

bsearch65.0ms (0.7%)

simplify4.0ms (0%)

end7.0ms (0.1%)

sample1.7s (18.6%)

Profiling