Details

analyze3.5s (9.6%)

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)

sample6.7s (18.4%)

Symmetry

(sort A C)

Results

1.5s	5789×	body	128	valid
941.0ms	882×	body	1024	valid
804.0ms	797×	body	1024	invalid
791.0ms	636×	body	2048	valid
679.0ms	557×	body	2048	invalid
661.0ms	2622×	body	128	invalid
424.0ms	607×	body	512	valid
400.0ms	579×	body	512	invalid
178.0ms	342×	body	256	valid
168.0ms	358×	body	256	invalid

Compiler

Compiled 134 to 98 computations (26.9% saved)

simplify47.0ms (0.1%)

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

51.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	52.2b	(/.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)))
	55.0b	(/.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)))

Status

Error

Program

▶

52.2b

(/.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)))

55.0b

(/.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)))

Compiler

Compiled 239 to 156 computations (34.7% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	4.9b	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
✓	16.7b	(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)))))))
✓	24.4b	(/.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)))

series15.5s (42.9%)

Counts

4 → 124

Calls

4 calls:

9.1s	(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)))))))
6.2s	(/.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)))
193.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
54.0ms	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))

rewrite106.0ms (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:

23.0ms	(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)))))))
15.0ms	(.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)))

simplify624.0ms (1.7%)

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

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	470	29	499
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	472	29	501

Error

23.0b

Counts

501 → 29

Alt Table

Status	Error	Program
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (.f64 A C) B))) (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	54.5b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (.f64 (.f64 A (.f64 C (.f64 F (.f64 B B)))) (sqrt.f64 (/.f64 1 (fma.f64 A A (.f64 B B))))) (fma.f64 2 (.f64 C (.f64 F (.f64 B B))) (fma.f64 2 (.f64 A (.f64 F (.f64 B B))) (.f64 8 (.f64 (.f64 A (.f64 C F)) (hypot.f64 A B)))))) (fma.f64 8 (.f64 (.f64 A A) (.f64 C F)) (.f64 2 (.f64 (.f64 F (.f64 B B)) (hypot.f64 A B))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	63.1b	(/.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)))
	52.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (neg.f64 B)))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	59.2b	(/.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)))
▶	48.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	50.2b	(.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)))))
	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)))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (fma.f64 2 C (.f64 1/2 (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	50.1b	(/.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)))
	53.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	51.3b	(.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))))
	60.4b	(.f64 -1 (.f64 (sqrt.f64 (*.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (sqrt.f64 2) B)))
	50.2b	(/.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)))
	61.4b	(/.f64 (neg.f64 (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 A (.f64 C (sqrt.f64 2))) B) (sqrt.f64 (/.f64 (.f64 (fma.f64 C C (.f64 B B)) F) (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 C (.f64 (sqrt.f64 2) B))) (sqrt.f64 (/.f64 F (.f64 (fma.f64 C C (.f64 B B)) (-.f64 C (hypot.f64 C B)))))) (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 C B)))) (.f64 (sqrt.f64 2) B))))) (.f64 2 (.f64 (/.f64 (.f64 A (.f64 (.f64 C C) (sqrt.f64 2))) B) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	52.2b	(.f64 (sqrt.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)))))))) (/.f64 (neg.f64 (sqrt.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))))
	56.4b	(/.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)))
	52.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (.f64 (cbrt.f64 (+.f64 A C)) (cbrt.f64 (+.f64 A C))) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) (+.f64 C B)))) (/.f64 (.f64 A C) B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.4b	(/.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)))
	61.2b	(/.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)))
	52.2b	(.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)))))))) (/.f64 1 (fma.f64 A (.f64 C -4) (.f64 B B))))
	51.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 A)))))) (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)))))

Compiler

Compiled 69937 to 36964 computations (47.1% 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))
✓	12.1b	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

series47.0ms (0.1%)

Counts

2 → 0

Calls

2 calls:

27.0ms	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
20.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

rewrite12.0ms (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:

7.0ms	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
3.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

simplify83.0ms (0.2%)

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

prune89.0ms (0.2%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	35	11	46
Fresh	3	25	28
Picked	1	0	1
Done	0	0	0
Total	39	36	75

Error

22.6b

Counts

75 → 36

Alt Table

Status	Error	Program
	61.2b	(/.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)))
▶	46.2b	(neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (.f64 A C) B))) (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.1b	(/.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)))
	52.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (neg.f64 B)))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	59.2b	(/.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)))
	48.7b	(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
	52.2b	(.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)))))))) (/.f64 1 (fma.f64 A (.f64 C -4) (.f64 B B))))
	46.2b	(neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C)))
	51.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 A)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	48.8b	(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)))))
	49.5b	(neg.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	50.2b	(.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)))))
	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)))
	48.6b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (fma.f64 2 C (.f64 1/2 (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	50.1b	(/.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)))
	48.9b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))))
	51.3b	(.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))))
	60.4b	(.f64 -1 (.f64 (sqrt.f64 (*.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (sqrt.f64 2) B)))
	49.0b	(neg.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	50.2b	(/.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)))
	61.4b	(/.f64 (neg.f64 (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 A (.f64 C (sqrt.f64 2))) B) (sqrt.f64 (/.f64 (.f64 (fma.f64 C C (.f64 B B)) F) (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 C (.f64 (sqrt.f64 2) B))) (sqrt.f64 (/.f64 F (.f64 (fma.f64 C C (.f64 B B)) (-.f64 C (hypot.f64 C B)))))) (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 C B)))) (.f64 (sqrt.f64 2) B))))) (.f64 2 (.f64 (/.f64 (.f64 A (.f64 (.f64 C C) (sqrt.f64 2))) B) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	61.9b	(neg.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (sqrt.f64 2))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	52.2b	(.f64 (sqrt.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)))))))) (/.f64 (neg.f64 (sqrt.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))))
	52.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (.f64 (cbrt.f64 (+.f64 A C)) (cbrt.f64 (+.f64 A C))) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) (+.f64 C B)))) (/.f64 (.f64 A C) B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	49.0b	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))))
	52.4b	(/.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)))
	49.6b	(neg.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (log.f64 (sqrt.f64 2)))))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))

Compiler

Compiled 3088 to 2033 computations (34.2% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

series61.0ms (0.2%)

Counts

2 → 0

Calls

2 calls:

34.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2))
27.0ms	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`times-frac_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`sqrt-prod_binary64`
36×	`*-un-lft-identity_binary64`
36×	`add-cube-cbrt_binary64`

Counts

2 → 106

Calls

2 calls:

9.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2))
5.0ms	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

simplify135.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
385×	`*-commutative_binary64`
328×	`div-sub_binary64`
276×	`associate-l_binary64`
266×	`associate-*l/_binary64`

Counts

106 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2195
1	260	2065
2	605	2065
3	1932	2064
4	2100	2064
5	2418	2064
6	3375	2064
7	4991	2064
8	4993	2064

prune174.0ms (0.5%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	5	30	35
Picked	1	0	1
Done	0	0	0
Total	126	37	163

Error

22.6b

Counts

163 → 37

Alt Table

Status	Error	Program
	61.2b	(/.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)))
	46.4b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 F))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 F)))) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 F))) (sqrt.f64 C))) (sqrt.f64 2)))
▶	46.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (/.f64 (sqrt.f64 2) (sqrt.f64 C))))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (.f64 A C) B))) (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.1b	(/.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)))
	52.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (neg.f64 B)))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	59.2b	(/.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)))
	48.7b	(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
	50.2b	(.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)))))
	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)))
	48.6b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (fma.f64 2 C (.f64 1/2 (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	50.1b	(/.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)))
	51.3b	(.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))))
	60.4b	(.f64 -1 (.f64 (sqrt.f64 (*.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (sqrt.f64 2) B)))
	49.0b	(neg.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	47.5b	(neg.f64 (.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 -1/2 F))) (log.f64 (sqrt.f64 C)))) (sqrt.f64 2)))
	46.5b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))))
	50.2b	(/.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)))
	61.4b	(/.f64 (neg.f64 (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 A (.f64 C (sqrt.f64 2))) B) (sqrt.f64 (/.f64 (.f64 (fma.f64 C C (.f64 B B)) F) (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 C (.f64 (sqrt.f64 2) B))) (sqrt.f64 (/.f64 F (.f64 (fma.f64 C C (.f64 B B)) (-.f64 C (hypot.f64 C B)))))) (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 C B)))) (.f64 (sqrt.f64 2) B))))) (.f64 2 (.f64 (/.f64 (.f64 A (.f64 (.f64 C C) (sqrt.f64 2))) B) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	61.9b	(neg.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (sqrt.f64 2))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.4b	(neg.f64 (exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))) (log.f64 (sqrt.f64 2)))))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.6b	(neg.f64 (exp.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 C))) (log.f64 (sqrt.f64 2)))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	52.2b	(.f64 (sqrt.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)))))))) (/.f64 (neg.f64 (sqrt.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))))
	46.6b	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))))
	52.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (.f64 (cbrt.f64 (+.f64 A C)) (cbrt.f64 (+.f64 A C))) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) (+.f64 C B)))) (/.f64 (.f64 A C) B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	52.4b	(/.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)))
	52.2b	(.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)))))))) (/.f64 1 (fma.f64 A (.f64 C -4) (.f64 B B))))
	51.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 A)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	49.6b	(neg.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (log.f64 (sqrt.f64 2)))))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))

Compiler

Compiled 5021 to 3334 computations (33.6% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

series49.0ms (0.1%)

Counts

2 → 0

Calls

2 calls:

32.0ms	(.f64 (sqrt.f64 (.f64 -1/2 F)) (/.f64 (sqrt.f64 2) (sqrt.f64 C)))
16.0ms	(/.f64 (sqrt.f64 2) (sqrt.f64 C))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`sqrt-prod_binary64`
76×	`times-frac_binary64`
72×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
56×	`add-cube-cbrt_binary64`

Counts

2 → 130

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 (.f64 -1/2 F)) (/.f64 (sqrt.f64 2) (sqrt.f64 C)))
5.0ms	(/.f64 (sqrt.f64 2) (sqrt.f64 C))

simplify148.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-neg_binary64`
418×	`associate-/r/_binary64`
333×	`associate-l_binary64`
263×	`associate-r_binary64`
256×	`associate-/l*_binary64`

Counts

130 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2416
1	251	2310
2	742	2310
3	2087	2309
4	2490	2309
5	2725	2309
6	3781	2309
7	4628	2309
8	5014	2309

prune163.0ms (0.4%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	4	32	36
Picked	0	1	1
Done	0	0	0
Total	147	37	184

Error

22.6b

Counts

184 → 37

Alt Table

Status	Error	Program
	61.2b	(/.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)))
	46.4b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 F))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 F)))) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 F))) (sqrt.f64 C))) (sqrt.f64 2)))
✓	46.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (/.f64 (sqrt.f64 2) (sqrt.f64 C))))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (.f64 A C) B))) (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	63.1b	(/.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)))
	52.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	61.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 C))))))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (neg.f64 B)))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	59.2b	(/.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)))
	50.2b	(.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)))))
	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)))
	48.6b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 C 3)) (fma.f64 2 C (.f64 1/2 (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	50.1b	(/.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)))
	51.3b	(.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))))
	60.4b	(.f64 -1 (.f64 (sqrt.f64 (*.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (sqrt.f64 2) B)))
	49.0b	(neg.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	47.5b	(neg.f64 (.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 -1/2 F))) (log.f64 (sqrt.f64 C)))) (sqrt.f64 2)))
	61.4b	(/.f64 (neg.f64 (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 A (.f64 C (sqrt.f64 2))) B) (sqrt.f64 (/.f64 (.f64 (fma.f64 C C (.f64 B B)) F) (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 C (.f64 (sqrt.f64 2) B))) (sqrt.f64 (/.f64 F (.f64 (fma.f64 C C (.f64 B B)) (-.f64 C (hypot.f64 C B)))))) (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 C B)))) (.f64 (sqrt.f64 2) B))))) (.f64 2 (.f64 (/.f64 (.f64 A (.f64 (.f64 C C) (sqrt.f64 2))) B) (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 C B)))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	61.9b	(neg.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (sqrt.f64 2))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	47.4b	(neg.f64 (exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))) (log.f64 (sqrt.f64 2)))))
	49.6b	(neg.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C)))) (log.f64 (sqrt.f64 2)))))
	47.6b	(neg.f64 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 C))))))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.6b	(neg.f64 (exp.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 C))) (log.f64 (sqrt.f64 2)))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	52.2b	(.f64 (sqrt.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)))))))) (/.f64 (neg.f64 (sqrt.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))))
	52.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (fma.f64 (.f64 (cbrt.f64 (+.f64 A C)) (cbrt.f64 (+.f64 A C))) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) (fma.f64 1/2 (/.f64 (.f64 C C) B) (+.f64 C B)))) (/.f64 (.f64 A C) B))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	46.1b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 (/.f64 2 C))))
	52.4b	(/.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)))
	47.4b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (exp.f64 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 C))))))
	52.2b	(.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)))))))) (/.f64 1 (fma.f64 A (.f64 C -4) (.f64 B B))))
	51.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (.f64 2 A)))))) (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)))))

Compiler

Compiled 4037 to 2799 computations (30.7% saved)

regimes5.3s (14.5%)

Accuracy

Total 20.4b remaining (52.5%)

Threshold costs 0b (0%)

Counts

248 → 11

Compiler

Compiled 60169 to 39976 computations (33.6% saved)

bsearch1.3s (3.5%)

Steps

Iters	Range		Point
10	5.690925394424262e+100	2.8799263383399988e+112	5.757347306203787e+100
6	2.674466158290903e-13	3.661768879505398e-12	3.5954420532414973e-12
8	1.942070927265407e-100	8.1180675673358e-97	1.9689375832376793e-100
5	1.2475728555400683e-160	3.6595996337042525e-160	1.5834672922955202e-160
8	6.3031919177671635e-260	1.6115103774906288e-255	1.808071538330122e-259
5	-2.0105968731158905e-243	-7.63517047224292e-244	-7.764483043690051e-244
10	-1.6652199010233452e-202	-2.2311011350504666e-212	-1.6488967253407525e-202
10	-446.5829652831211	-1.1712002436809236e-9	-1.1887020586003648e-9
7	-2.520041314980772e+64	-1.9085058297922416e+62	-1.9368627004399634e+62
8	-5.303082742253763e+145	-2.0869626725703508e+142	-5.192355289516512e+145

Compiler

Compiled 5 to 4 computations (20% saved)

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

204×	`distribute-rgt-neg-in_binary64`
133×	`cancel-sign-sub-inv_binary64`
132×	`distribute-lft-neg-in_binary64`
124×	`distribute-lft-neg-out_binary64`
119×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	432
1	172	432
2	256	432
3	328	432
4	379	432
5	412	432
6	457	432
7	508	432
8	550	432
9	587	432
10	639	432
11	704	432
12	794	432
13	886	432
14	952	432
15	988	432
16	1009	432
17	1019	432
18	1026	432
19	1031	432
20	1033	432
21	1021	432

end828.0ms (2.3%)

Compiler: Compiled 2328 to 1460 computations (37.3% saved)

Details

analyze3.5s (9.6%)

sample6.7s (18.4%)

simplify47.0ms (0.1%)

prune6.0ms (0%)

localize18.0ms (0%)

series15.5s (42.9%)

rewrite106.0ms (0.3%)

simplify624.0ms (1.7%)

prune1.3s (3.6%)

localize7.0ms (0%)

series47.0ms (0.1%)

rewrite12.0ms (0%)

simplify83.0ms (0.2%)

prune89.0ms (0.2%)

localize7.0ms (0%)

series61.0ms (0.2%)

rewrite22.0ms (0.1%)

simplify135.0ms (0.4%)

prune174.0ms (0.5%)

localize10.0ms (0%)

series49.0ms (0.1%)

rewrite27.0ms (0.1%)

simplify148.0ms (0.4%)

prune163.0ms (0.4%)

regimes5.3s (14.5%)

bsearch1.3s (3.5%)

simplify63.0ms (0.2%)

end828.0ms (2.3%)

Profiling