Details

analyze3.7s (10.7%)

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%	98.2%	1.8%	7
0%	92%	8%	8
0%	91.2%	8.8%	9
0.4%	89.3%	10.3%	10
7.1%	79.2%	13.6%	11
11.9%	70.2%	17.9%	12
13.8%	67.4%	18.7%	13
16.6%	63.3%	20.1%	14

Compiler

Compiled 45 to 33 computations (26.7% saved)

sample206.0ms (0.6%)

Algorithm

1×

intervals

Results

36.0ms	12×	body	2048	nan
31.0ms	176×	body	128	valid
24.0ms	32×	body	1024	valid
22.0ms	108×	body	128	nan
21.0ms	24×	body	2048	valid
17.0ms	22×	body	1024	nan
8.0ms	16×	body	512	nan
7.0ms	13×	body	512	valid
4.0ms	13×	body	256	nan
4.0ms	10×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 93 to 69 computations (25.8% saved)

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

759×	`neg-mul-1_binary64`
493×	`associate-l_binary64`
463×	`associate-r_binary64`
420×	`distribute-rgt-in_binary64`
410×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	61	49
2	176	49
3	648	49
4	2727	49
5	4869	49
6	5512	49

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

47.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	50.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
▶	47.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))

Status

Error

Program

50.8b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)))

▶

47.7b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B)))

Compiler

Compiled 239 to 156 computations (34.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	4.5b	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
✓	14.4b	(sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
✓	21.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))

series16.3s (46.7%)

Counts

4 → 124

Calls

4 calls:

9.4s	(sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
6.6s	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
220.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
55.0ms	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))

rewrite107.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`distribute-lft-in_binary64`
204×	`distribute-rgt-in_binary64`
164×	`*-un-lft-identity_binary64`
108×	`prod-diff_binary64`
105×	`add-sqr-sqrt_binary64`

Counts

4 → 284

Calls

4 calls:

22.0ms	(sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
13.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
5.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
5.0ms	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))

simplify669.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
670×	`fma-def_binary64`
277×	`associate-/l*_binary64`
190×	`associate-/r*_binary64`
93×	`sub-neg_binary64`

Counts

408 → 499

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2765	55201
1	4842	49427
2	5911	49427

prune1.3s (3.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	473	26	499
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	475	26	501

Error

18.0b

Counts

501 → 26

Alt Table

Status	Error	Program
	48.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 -1/2 (/.f64 (.f64 B B) C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	57.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (.f64 B B) (-.f64 C (hypot.f64 C B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (.f64 10 (.f64 A (.f64 C (.f64 F B)))))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.0b	(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
▶	46.0b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	56.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 C)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	46.2b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	60.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F B))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (+.f64 (fma.f64 1 (+.f64 A C) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C))))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	46.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 2 A (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3)))) (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C))))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.9b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C)))))) (.f64 10 (.f64 A (.f64 C (.f64 F B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.8b	(.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (fma.f64 A (.f64 C -4) (*.f64 B B))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	51.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	57.9b	(.f64 -1 (.f64 (sqrt.f64 (*.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 A 2) (pow.f64 B 2)))))) (/.f64 (sqrt.f64 2) B)))
	51.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 1/2 (/.f64 (.f64 B B) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 A A) (.f64 F (.f64 B B))) C) (.f64 8 (.f64 A (.f64 F (.f64 B B))))) (fma.f64 16 (.f64 (.f64 A A) (.f64 C F)) (/.f64 (.f64 F (pow.f64 B 4)) C))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	48.7b	(/.f64 (neg.f64 (neg.f64 (.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.2b	(/.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 (log.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (log.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	61.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (-.f64 (fma.f64 A A (.f64 C C)) (.f64 2 (.f64 A C)))))) (*.f64 A C)))) (sqrt.f64 2)))

Compiler

Compiled 69617 to 36774 computations (47.2% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
✓	14.3b	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

series48.0ms (0.1%)

Counts

2 → 0

Calls

2 calls:

28.0ms	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
20.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
6×	`sqrt-prod_binary64`
6×	`sqrt-pow1_binary64`

Counts

2 → 44

Calls

2 calls:

6.0ms	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
2.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

408×	`associate-*l/_binary64`
404×	`associate-*r/_binary64`
396×	`fma-def_binary64`
390×	`associate-/l*_binary64`
328×	`*-commutative_binary64`

Counts

44 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	636
1	95	600
2	236	596
3	514	596
4	997	596
5	1905	596
6	2041	596
7	2369	596
8	3387	596
9	4728	596
10	4986	596

prune83.0ms (0.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	2	23	25
Picked	1	0	1
Done	0	0	0
Total	42	30	72

Error

16.5b

Counts

72 → 30

Alt Table

Status	Error	Program
	48.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 -1/2 (/.f64 (.f64 B B) C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	57.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (.f64 B B) (-.f64 C (hypot.f64 C B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	40.8b	(neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))
	51.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	60.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (.f64 10 (.f64 A (.f64 C (.f64 F B)))))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.0b	(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	56.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
▶	40.8b	(neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C)))
	47.0b	(neg.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	54.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 A A) (.f64 F (.f64 B B))) C) (.f64 8 (.f64 A (.f64 F (.f64 B B))))) (fma.f64 16 (.f64 (.f64 A A) (.f64 C F)) (/.f64 (.f64 F (pow.f64 B 4)) C))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	46.0b	(neg.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C)))) (sqrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (sqrt.f64 (sqrt.f64 2)))))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 C)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	45.9b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F C))))
	46.2b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	60.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F B))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (+.f64 (fma.f64 1 (+.f64 A C) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C))))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.1b	(neg.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))))
	46.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 2 A (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3)))) (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C))))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.9b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C)))))) (.f64 10 (.f64 A (.f64 C (.f64 F B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.8b	(.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (fma.f64 A (.f64 C -4) (*.f64 B B))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	51.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 1/2 (/.f64 (.f64 B B) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	48.7b	(/.f64 (neg.f64 (neg.f64 (.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.1b	(neg.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (log.f64 (sqrt.f64 2)))))
	61.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (-.f64 (fma.f64 A A (.f64 C C)) (.f64 2 (.f64 A C)))))) (*.f64 A C)))) (sqrt.f64 2)))

Compiler

Compiled 2780 to 1771 computations (36.3% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 -1/2 F))
✓	0.3b	(/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C))
✓	0.4b	(.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2))

series53.0ms (0.2%)

Counts

3 → 0

Calls

3 calls:

36.0ms	(/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C))
10.0ms	(.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2))
6.0ms	(sqrt.f64 (*.f64 -1/2 F))

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64`
12×	`sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

6.0ms	(/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C))
5.0ms	(.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2))
2.0ms	(sqrt.f64 (*.f64 -1/2 F))

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

935×	`div-sub_binary64`
607×	`times-frac_binary64`
551×	`associate-/l*_binary64`
461×	`fma-def_binary64`
242×	`neg-mul-1_binary64`

Counts

72 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1123
1	181	994
2	618	989
3	2839	989
4	2952	989
5	3710	989
6	4538	989
7	5860	989

prune132.0ms (0.4%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	3	26	29
Picked	1	0	1
Done	0	0	0
Total	79	33	112

Error

16.5b

Counts

112 → 33

Alt Table

Status	Error	Program
	40.8b	(neg.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (/.f64 (sqrt.f64 C) (sqrt.f64 2))))
	48.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 -1/2 (/.f64 (.f64 B B) C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	57.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (.f64 B B) (-.f64 C (hypot.f64 C B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	41.3b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C)))))
	51.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	60.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (.f64 10 (.f64 A (.f64 C (.f64 F B)))))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.0b	(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	42.4b	(neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 2)))) (sqrt.f64 C)))
	56.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.0b	(neg.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	54.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 A A) (.f64 F (.f64 B B))) C) (.f64 8 (.f64 A (.f64 F (.f64 B B))))) (fma.f64 16 (.f64 (.f64 A A) (.f64 C F)) (/.f64 (.f64 F (pow.f64 B 4)) C))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 C)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	45.9b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F C))))
	46.2b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	60.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F B))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	62.4b	(neg.f64 (/.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (.f64 -1/2 F)))) (sqrt.f64 2)) (sqrt.f64 C)))
	47.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (+.f64 (fma.f64 1 (+.f64 A C) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C))))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.1b	(neg.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))))
	41.4b	(neg.f64 (/.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -1/2 F)))) (sqrt.f64 2)) (sqrt.f64 C)))
	61.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (-.f64 (fma.f64 A A (.f64 C C)) (.f64 2 (.f64 A C)))))) (*.f64 A C)))) (sqrt.f64 2)))
	42.7b	(neg.f64 (exp.f64 (-.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2))) (log.f64 (sqrt.f64 C)))))
▶	40.7b	(neg.f64 (/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 C)))
	46.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 2 A (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3)))) (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C))))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.9b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C)))))) (.f64 10 (.f64 A (.f64 C (.f64 F B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.8b	(.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (fma.f64 A (.f64 C -4) (*.f64 B B))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	51.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 1/2 (/.f64 (.f64 B B) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	48.7b	(/.f64 (neg.f64 (neg.f64 (.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))

Compiler

Compiled 3489 to 2314 computations (33.7% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 C))

series27.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

27.0ms

(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 C))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`sqrt-prod_binary64`
78×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
57×	`*-un-lft-identity_binary64`
57×	`add-cube-cbrt_binary64`

Counts

1 → 113

Calls

1 calls:

6.0ms

(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 C))

simplify207.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1342×	`fma-neg_binary64`
788×	`div-sub_binary64`
474×	`fma-def_binary64`
417×	`associate-/l*_binary64`
402×	`times-frac_binary64`

Counts

113 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	2274
1	201	2232
2	361	2232
3	644	2232
4	1301	2232
5	1725	2232
6	2250	2232
7	2702	2232
8	3029	2232
9	3654	2232
10	4573	2232
11	4794	2232

prune118.0ms (0.3%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	31	32
Picked	0	1	1
Done	0	0	0
Total	111	34	145

Error

16.5b

Counts

145 → 34

Alt Table

Status	Error	Program
	40.8b	(neg.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (/.f64 (sqrt.f64 C) (sqrt.f64 2))))
	48.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 -1/2 (/.f64 (.f64 B B) C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	57.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (.f64 B B) (-.f64 C (hypot.f64 C B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	41.3b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C)))))
	51.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	60.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (.f64 10 (.f64 A (.f64 C (.f64 F B)))))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.0b	(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	42.4b	(neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 2)))) (sqrt.f64 C)))
	56.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.0b	(neg.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	54.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 A A) (.f64 F (.f64 B B))) C) (.f64 8 (.f64 A (.f64 F (.f64 B B))))) (fma.f64 16 (.f64 (.f64 A A) (.f64 C F)) (/.f64 (.f64 F (pow.f64 B 4)) C))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 C)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	45.9b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F C))))
	48.7b	(/.f64 (neg.f64 (neg.f64 (.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	42.7b	(neg.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 (neg.f64 F))) (log.f64 (sqrt.f64 C)))))
	46.2b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	60.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F B))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	62.4b	(neg.f64 (/.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (.f64 -1/2 F)))) (sqrt.f64 2)) (sqrt.f64 C)))
	47.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (+.f64 (fma.f64 1 (+.f64 A C) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C))))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.1b	(neg.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))))
	41.4b	(neg.f64 (/.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -1/2 F)))) (sqrt.f64 2)) (sqrt.f64 C)))
	61.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (-.f64 (fma.f64 A A (.f64 C C)) (.f64 2 (.f64 A C)))))) (*.f64 A C)))) (sqrt.f64 2)))
✓	40.7b	(neg.f64 (/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 C)))
	46.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 2 A (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3)))) (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C))))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.9b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (fma.f64 2 (.f64 F (pow.f64 B 3)) (.f64 (.f64 F B) (fma.f64 A A (.f64 C C)))))) (.f64 10 (.f64 A (.f64 C (.f64 F B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.8b	(.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (fma.f64 A (.f64 C -4) (*.f64 B B))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	41.0b	(neg.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 F))) (cbrt.f64 (sqrt.f64 (neg.f64 F)))) (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 F))) (sqrt.f64 C))))
	51.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 2 A (.f64 1/2 (/.f64 (.f64 B B) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))

Compiler

Compiled 2897 to 1170 computations (59.6% saved)

regimes5.0s (14.3%)

Accuracy

Total 13.5b remaining (42.6%)

Threshold costs 0b (0%)

Counts

238 → 5

Compiler

Compiled 60376 to 37123 computations (38.5% saved)

bsearch17.0ms (0.1%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Rules

33×	`*-commutative_binary64`
24×	`+-commutative_binary64`
23×	`sub-neg_binary64`
19×	`neg-sub0_binary64`
19×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	408
1	131	406
2	184	406
3	219	406
4	235	406
5	238	406
6	233	406

end18.0ms (0.1%)

Compiler: Compiled 807 to 516 computations (36.1% saved)

sample6.5s (18.8%)

Algorithm

1×

intervals

Results

1.1s	5512×	body	128	valid
682.0ms	845×	body	1024	nan
644.0ms	851×	body	1024	valid
639.0ms	664×	body	2048	valid
570.0ms	556×	body	2048	nan
456.0ms	2429×	body	128	nan
402.0ms	634×	body	512	valid
303.0ms	558×	body	512	nan
123.0ms	337×	body	256	valid
108.0ms	303×	body	256	nan
2.0ms	2×	body	4096	valid

Compiler

Compiled 1419 to 886 computations (37.6% saved)

Details

analyze3.7s (10.7%)

sample206.0ms (0.6%)

simplify54.0ms (0.2%)

prune6.0ms (0%)

localize18.0ms (0.1%)

series16.3s (46.7%)

rewrite107.0ms (0.3%)

simplify669.0ms (1.9%)

prune1.3s (3.6%)

localize7.0ms (0%)

series48.0ms (0.1%)

rewrite11.0ms (0%)

simplify89.0ms (0.3%)

prune83.0ms (0.2%)

localize8.0ms (0%)

series53.0ms (0.2%)

rewrite16.0ms (0%)

simplify98.0ms (0.3%)

prune132.0ms (0.4%)

localize5.0ms (0%)

series27.0ms (0.1%)

rewrite20.0ms (0.1%)

simplify207.0ms (0.6%)

prune118.0ms (0.3%)

regimes5.0s (14.3%)

bsearch17.0ms (0.1%)

simplify14.0ms (0%)

end18.0ms (0.1%)

sample6.5s (18.8%)

Profiling