Details

analyze3.8s (9.7%)

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)

sample187.0ms (0.5%)

Algorithm

1×

intervals

Results

35.0ms	174×	body	128	valid
25.0ms	35×	body	1024	valid
19.0ms	19×	body	2048	nan
18.0ms	19×	body	2048	valid
15.0ms	21×	body	1024	nan
13.0ms	75×	body	128	nan
11.0ms	21×	body	512	valid
10.0ms	19×	body	512	nan
4.0ms	12×	body	256	nan
3.0ms	7×	body	256	valid

Compiler

Compiled 93 to 69 computations (25.8% saved)

simplify59.0ms (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

48.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	52.7b	(/.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)))
▶	49.0b	(/.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

52.7b

(/.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)))

▶

49.0b

(/.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)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	5.9b	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
✓	13.0b	(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)))))))
✓	21.7b	(/.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)))

rewrite91.0ms (0.2%)

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:

24.0ms	(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)))))))
20.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
6.0ms	(/.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)))

series16.6s (42%)

Counts

4 → 124

Calls

4 calls:

10.4s	(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)))))))
5.6s	(/.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)))
491.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
95.0ms	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))

simplify1.5s (3.7%)

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 → 701

Iterations

Useful iterations: 1 (0.0ms)

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

prune2.5s (6.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	683	18	701
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	685	18	703

Error

20.5b

Counts

703 → 18

Alt Table

Status	Error	Program
	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)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	47.8b	(/.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)))
	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)))
	60.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (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)))))
	49.4b	(/.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)))
	49.0b	(.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))))
	49.0b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (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)))))))))
	47.3b	(/.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)))
	47.3b	(.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)))))
	59.9b	(/.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)))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	55.1b	(/.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)))
	48.5b	(/.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))
	53.0b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	58.9b	(/.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)))
▶	46.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))

Compiler

Compiled 68951 to 36386 computations (47.2% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/2 (/.f64 F C))
✓	0.4b	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
✓	12.5b	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

rewrite43.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
15×	`pow1_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`

Counts

3 → 78

Calls

3 calls:

16.0ms	(*.f64 -1/2 (/.f64 F C))
14.0ms	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
5.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

series137.0ms (0.3%)

Counts

3 → 0

Calls

3 calls:

53.0ms	(*.f64 -1/2 (/.f64 F C))
48.0ms	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))
35.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

simplify177.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-/l*_binary64`
453×	`fma-def_binary64`
314×	`*-commutative_binary64`
309×	`sqr-pow_binary64`
295×	`associate-l_binary64`

Counts

78 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1017
1	234	945
2	612	941
3	1450	941
4	2561	941
5	2706	941
6	3099	941
7	3616	941
8	4454	941
9	4923	941

prune197.0ms (0.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	99	24	123

Error

18.7b

Counts

123 → 24

Alt Table

Status	Error	Program
	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)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	42.1b	(neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 2)) (sqrt.f64 C)))
	59.9b	(/.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)))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	60.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	47.2b	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	47.0b	(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 -1/2 (/.f64 F C))) (cbrt.f64 (.f64 -1/2 (/.f64 F C)))) (cbrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	49.4b	(/.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)))
	49.0b	(.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))))
▶	42.1b	(neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))
	48.5b	(/.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))
	61.8b	(neg.f64 (.f64 (sqrt.f64 (log.f64 (exp.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	53.0b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	47.1b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C)))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	58.9b	(/.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)))
	49.0b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (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)))))))))
	47.3b	(/.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)))
	47.3b	(.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)))))
	47.0b	(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)))))
	59.7b	(neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 -1/2 -1/2) -1/2) (/.f64 (.f64 (.f64 F F) F) (.f64 (.f64 C C) C))))) (sqrt.f64 2)))
	55.1b	(/.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)))
	47.9b	(neg.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))

Compiler

Compiled 2927 to 1928 computations (34.1% saved)

localize16.0ms (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))

rewrite46.0ms (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:

19.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2))
12.0ms	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

series115.0ms (0.3%)

Counts

2 → 0

Calls

2 calls:

66.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2))
49.0ms	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

simplify270.0ms (0.7%)

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 → 165

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

prune291.0ms (0.7%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	155	10	165
Fresh	4	19	23
Picked	0	1	1
Done	0	0	0
Total	159	30	189

Error

18.7b

Counts

189 → 30

Alt Table

Status	Error	Program
	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)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	43.9b	(neg.f64 (exp.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 C))) (log.f64 (sqrt.f64 2)))))
	47.3b	(.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)))))
	59.9b	(/.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)))
	42.2b	(neg.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 C))) (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 (sqrt.f64 C)))) (sqrt.f64 2)))
	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)))
	60.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	59.7b	(neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 -1/2 -1/2) -1/2) (/.f64 (.f64 (.f64 F F) F) (.f64 (.f64 C C) C))))) (sqrt.f64 2)))
	42.5b	(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 C)) (cbrt.f64 (sqrt.f64 C)))) (.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/2 F))) (cbrt.f64 (sqrt.f64 C))) (sqrt.f64 2))))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	42.4b	(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -1/2 F))) (.f64 (cbrt.f64 (sqrt.f64 C)) (cbrt.f64 (sqrt.f64 C)))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -1/2 F))) (cbrt.f64 (sqrt.f64 C)))) (sqrt.f64 2)))
	49.4b	(/.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)))
	42.2b	(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -1/2 F))) (sqrt.f64 (sqrt.f64 C))) (sqrt.f64 (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -1/2 F))) (sqrt.f64 (sqrt.f64 C))) (sqrt.f64 (sqrt.f64 2)))))
	49.0b	(.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))))
✓	42.1b	(neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))
	42.2b	(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C))) (sqrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))) (sqrt.f64 (sqrt.f64 2)))))
	48.5b	(/.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))
	61.8b	(neg.f64 (.f64 (sqrt.f64 (log.f64 (exp.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	53.0b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	47.1b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C)))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	43.9b	(neg.f64 (.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 -1/2 F))) (log.f64 (sqrt.f64 C)))) (sqrt.f64 2)))
	58.9b	(/.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)))
	49.0b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (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)))))))))
	47.3b	(/.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)))
	47.9b	(neg.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
▶	42.1b	(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
	42.2b	(neg.f64 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 C))) (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 (sqrt.f64 C))) (sqrt.f64 2))))
	55.1b	(/.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)))
	43.6b	(neg.f64 (exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))) (log.f64 (sqrt.f64 2)))))

Compiler

Compiled 4461 to 2997 computations (32.8% saved)

localize18.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2)))
✓	0.2b	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
	0.3b	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

rewrite60.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`sqrt-prod_binary64`
47×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
29×	`associate-l_binary64`
23×	`*-un-lft-identity_binary64`

Counts

2 → 93

Calls

2 calls:

23.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
23.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2)))

series137.0ms (0.3%)

Counts

2 → 0

Calls

2 calls:

72.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2)))
65.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify237.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/r*_binary64`
508×	`associate-/l/_binary64`
499×	`associate-*l/_binary64`
335×	`associate-*r/_binary64`
250×	`associate-/l*_binary64`

Counts

93 → 161

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	2249
1	285	2020
2	770	2020
3	2368	2020
4	3915	2020
5	4367	2020
6	4900	2020
7	5006	2020

prune366.0ms (0.9%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	221	10	231
Fresh	11	17	28
Picked	1	0	1
Done	0	1	1
Total	233	28	261

Error

18.7b

Counts

261 → 28

Alt Table

Status	Error	Program
	44.1b	(neg.f64 (exp.f64 (+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 C))) (log.f64 (sqrt.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (sqrt.f64 2))))))
	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)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (hypot.f64 B C)))) (/.f64 (sqrt.f64 2) B)))
	59.9b	(/.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)))
	42.5b	(neg.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))))) (sqrt.f64 (sqrt.f64 2))))
	42.2b	(neg.f64 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 C))) (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 (sqrt.f64 C))) (sqrt.f64 2))))
	42.1b	(neg.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (fabs.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))))
	60.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 F (pow.f64 B 3))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	42.6b	(neg.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))))
	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)))
	43.8b	(neg.f64 (.f64 (.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 F))) (log.f64 (sqrt.f64 C)))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
	63.2b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	49.4b	(/.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)))
	49.0b	(.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))))
✓	42.1b	(neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 2)))
	48.5b	(/.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))
	61.8b	(neg.f64 (.f64 (sqrt.f64 (log.f64 (exp.f64 (.f64 -1/2 (/.f64 F C))))) (sqrt.f64 2)))
	53.0b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 A B)))) (/.f64 (sqrt.f64 2) B)))
	47.3b	(/.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)))
	42.5b	(neg.f64 (.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 C)) (cbrt.f64 (sqrt.f64 C)))) (.f64 (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 F))) (cbrt.f64 (sqrt.f64 C))) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2))))
	49.0b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (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)))))))))
	47.3b	(.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)))))
	43.6b	(neg.f64 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
	42.1b	(neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 C)))
	55.1b	(/.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)))
	58.9b	(/.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)))
	42.4b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))) (cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))))
	43.9b	(neg.f64 (exp.f64 (+.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))) (log.f64 (sqrt.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (sqrt.f64 2))))))

Compiler

Compiled 5134 to 3844 computations (25.1% saved)

regimes6.2s (15.6%)

Accuracy

Total 13.0b remaining (42.1%)

Threshold costs 0b (0%)

Compiler

Compiled 53290 to 38681 computations (27.4% saved)

bsearch16.0ms (0%)

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

simplify19.0ms (0%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
25×	`+-commutative_binary64`
24×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	420
1	126	420
2	185	420
3	225	420
4	244	420
5	248	420
6	243	420

end18.0ms (0%)

Compiler: Compiled 831 to 549 computations (33.9% saved)

sample6.5s (16.4%)

Algorithm

1×

intervals

Results

1.0s	5486×	body	128	valid
690.0ms	884×	body	1024	valid
649.0ms	835×	body	1024	nan
630.0ms	654×	body	2048	valid
581.0ms	584×	body	2048	nan
485.0ms	2500×	body	128	nan
391.0ms	630×	body	512	valid
299.0ms	538×	body	512	nan
134.0ms	345×	body	256	valid
113.0ms	311×	body	256	nan
1.0ms	1×	body	4096	valid

Compiler

Compiled 1275 to 868 computations (31.9% saved)

Details

analyze3.8s (9.7%)

sample187.0ms (0.5%)

simplify59.0ms (0.1%)

prune6.0ms (0%)

localize16.0ms (0%)

rewrite91.0ms (0.2%)

series16.6s (42%)

simplify1.5s (3.7%)

prune2.5s (6.2%)

localize15.0ms (0%)

rewrite43.0ms (0.1%)

series137.0ms (0.3%)

simplify177.0ms (0.4%)

prune197.0ms (0.5%)

localize16.0ms (0%)

rewrite46.0ms (0.1%)

series115.0ms (0.3%)

simplify270.0ms (0.7%)

prune291.0ms (0.7%)

localize18.0ms (0%)

rewrite60.0ms (0.2%)

series137.0ms (0.3%)

simplify237.0ms (0.6%)

prune366.0ms (0.9%)

regimes6.2s (15.6%)

bsearch16.0ms (0%)

simplify19.0ms (0%)

end18.0ms (0%)

sample6.5s (16.4%)

Profiling