Details

analyze3.3s (2.2%)

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%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	94.3%	5.7%	9
0.4%	93%	6.6%	10
7.4%	83.3%	9.3%	11
12.4%	75.2%	12.4%	12
14.4%	68.9%	16.7%	13
16.8%	65.4%	17.8%	14

Compiler

Compiled 45 to 33 computations (26.7% saved)

sample6.8s (4.5%)

Results

1.6s	5647×	body	128	valid
927.0ms	954×	body	1024	valid
792.0ms	658×	body	2048	valid
777.0ms	864×	body	1024	invalid
740.0ms	2966×	body	128	invalid
719.0ms	619×	body	2048	invalid
417.0ms	623×	body	512	invalid
413.0ms	606×	body	512	valid
186.0ms	391×	body	256	valid
146.0ms	332×	body	256	invalid

Compiler

Compiled 134 to 98 computations (26.9% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-l_binary64`
528×	`associate-r_binary64`
455×	`distribute-rgt-in_binary64`
450×	`fma-def_binary64`
449×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	66	49
2	202	49
3	721	49
4	2973	49
5	4968	49
6	4966	49
7	4969	49
8	4939	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

46.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	50.7b	(/.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)))
▶	46.8b	(/.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

50.7b

(/.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)))

▶

46.8b

(/.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
✓	2.6b	(+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	3.3b	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
✓	16.2b	(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)))))))
✓	20.7b	(/.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)))

series17.7s (11.8%)

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)))))))
8.0s	(/.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)))
210.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
56.0ms	(+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))

rewrite48.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
31×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64`
23×	`pow1_binary64`

Counts

4 → 140

Calls

4 calls:

10.0ms	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
8.0ms	(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)))))))
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)))

simplify433.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-def_binary64`
274×	`associate-/l*_binary64`
213×	`associate-*l/_binary64`
183×	`associate-/r*_binary64`
149×	`times-frac_binary64`

Counts

264 → 361

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2448	45159
1	5052	45159

prune997.0ms (0.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	338	23	361
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	339	24	363

Error

23.1b

Counts

363 → 24

Alt Table

Status	Error	Program
	56.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 (pow.f64 A 2) (.f64 C F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	60.3b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (.f64 A A) (.f64 C C)) (.f64 2 (.f64 A C))))))) (.f64 A C))))))
▶	46.0b	(.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)))))
	60.0b	(/.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)))
	57.8b	(/.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)))
	56.4b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	57.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 C C) (.f64 B B)) (pow.f64 A 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 C (.f64 B B)) (.f64 A A)) (/.f64 (.f64 B B) A)))))))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	53.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	46.7b	(/.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)))
	54.5b	(/.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)))
	48.0b	(/.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)))))))))
	53.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (pow.f64 C 2) (pow.f64 B 2))))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	50.7b	(/.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)))
	46.9b	(/.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)))))))))
	58.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))) C) F)) (/.f64 (sqrt.f64 2) 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)))
	55.2b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.7b	(/.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)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (pow.f64 C 2) (pow.f64 B 2)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	56.0b	(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 A F)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 C C) (.f64 F (.f64 B B))) A) (.f64 8 (.f64 C (.f64 F (.f64 B B))))) (+.f64 (/.f64 (.f64 F (pow.f64 B 4)) A) (.f64 16 (.f64 A (.f64 (.f64 C C) F))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 A (.f64 (pow.f64 C 2) F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))

Compiler

Compiled 61626 to 33792 computations (45.2% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))))
	2.6b	(+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	8.6b	(sqrt.f64 (.f64 2 (.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
✓	18.5b	(sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))

series4.3s (2.9%)

Counts

3 → 60

Calls

3 calls:

3.2s

(/.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))))

1.1s

(sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))

45.0ms

(sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`sqrt-prod_binary64`
24×	`times-frac_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 82

Calls

3 calls:

10.0ms

(/.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))))

6.0ms

(sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))

1.0ms

(sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)))

simplify238.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

657×	`*-commutative_binary64`
324×	`fma-def_binary64`
297×	`associate-r_binary64`
284×	`associate-+r+_binary64`
170×	`associate-/l*_binary64`

Counts

142 → 189

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1519	26044
1	5201	26044

prune641.0ms (0.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	263	8	271
Fresh	4	19	23
Picked	1	0	1
Done	0	0	0
Total	268	27	295

Error

13.6b

Counts

295 → 27

Alt Table

Status	Error	Program
	59.8b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 C C) (.f64 B B)) (pow.f64 A 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 C (.f64 B B)) (.f64 A A)) (/.f64 (.f64 B B) A)))))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	56.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 (pow.f64 A 2) (.f64 C F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	60.3b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (.f64 A A) (.f64 C C)) (.f64 2 (.f64 A C))))))) (.f64 A C))))))
	60.0b	(/.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)))
	52.7b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) B))
	50.3b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B))))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	57.1b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 2 A) (.f64 1/2 (/.f64 (.f64 B B) C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	53.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
▶	46.7b	(/.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)))
	54.5b	(/.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)))
	48.0b	(/.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)))))))))
	56.2b	(.f64 -1 (/.f64 (.f64 (sqrt.f64 (.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	50.7b	(/.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)))
	46.9b	(/.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)))))))))
	58.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))) C) F)) (/.f64 (sqrt.f64 2) B)))
	51.4b	(.f64 -1 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) C) F)) (sqrt.f64 2)) (sqrt.f64 (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)))
	55.2b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.7b	(/.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)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (pow.f64 C 2) (pow.f64 B 2)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	56.4b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	56.0b	(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 A F)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 C C) (.f64 F (.f64 B B))) A) (.f64 8 (.f64 C (.f64 F (.f64 B B))))) (+.f64 (/.f64 (.f64 F (pow.f64 B 4)) A) (.f64 16 (.f64 A (.f64 (.f64 C C) F))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	51.5b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (neg.f64 B)))
	57.5b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (.f64 B B) A)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))

Compiler

Compiled 40259 to 22777 computations (43.4% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
	8.6b	(sqrt.f64 (.f64 2 (.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
✓	17.5b	(/.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)))
	18.5b	(sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))

series4.3s (2.8%)

Counts

1 → 20

Calls

1 calls:

4.3s	(/.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)))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
6×	`associate-/l*_binary64`

Counts

1 → 45

Calls

1 calls:

6.0ms

(/.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)))

simplify314.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

512×	`*-commutative_binary64`
260×	`+-commutative_binary64`
250×	`fma-def_binary64`
234×	`associate-r_binary64`
232×	`associate-+r+_binary64`

Counts

65 → 124

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1200	20622
1	4340	17825
2	4969	17825
3	4935	17825

prune660.0ms (0.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	296	2	298
Fresh	2	24	26
Picked	0	1	1
Done	0	0	0
Total	298	27	325

Error

13.6b

Counts

325 → 27

Alt Table

Status	Error	Program
	59.8b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 C C) (.f64 B B)) (pow.f64 A 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 C (.f64 B B)) (.f64 A A)) (/.f64 (.f64 B B) A)))))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	56.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -16 (.f64 (pow.f64 A 2) (.f64 C F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	60.0b	(/.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)))
	52.7b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) B))
	50.3b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B))))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	57.1b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 2 A) (.f64 1/2 (/.f64 (.f64 B B) C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	53.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
✓	46.7b	(/.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)))
	54.5b	(/.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)))
	48.0b	(/.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)))))))))
	56.2b	(.f64 -1 (/.f64 (.f64 (sqrt.f64 (.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	50.7b	(/.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)))
	51.4b	(.f64 -1 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) C) F)) (sqrt.f64 2)) (sqrt.f64 (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)))
	55.2b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
	60.7b	(/.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)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (pow.f64 C 2) (pow.f64 B 2)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	56.4b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	60.3b	(.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (+.f64 (.f64 A A) (.f64 C (-.f64 C (.f64 2 A)))))))) (*.f64 C A)))) (neg.f64 (sqrt.f64 2)))
	53.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 C (hypot.f64 B C)) F)) (/.f64 (sqrt.f64 2) B)))
	56.0b	(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 A F)))))) (fma.f64 A (.f64 C -4) (.f64 B B)))
▶	46.9b	(/.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)))))))))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 C C) (.f64 F (.f64 B B))) A) (.f64 8 (.f64 C (.f64 F (.f64 B B))))) (+.f64 (/.f64 (.f64 F (pow.f64 B 4)) A) (.f64 16 (.f64 A (.f64 (.f64 C C) F))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	51.5b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (neg.f64 B)))
	57.5b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (.f64 B B) A)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))

Compiler

Compiled 41717 to 24128 computations (42.2% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
	3.3b	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
	16.2b	(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)))))))
✓	20.5b	(/.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))))))))

series1.5min (60%)

Counts

1 → 20

Calls

1 calls:

1.5min

(/.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))))))))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
6×	`associate-*r/_binary64`

Counts

1 → 35

Calls

1 calls:

9.0ms

(/.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))))))))

simplify196.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

996×	`fma-def_binary64`
460×	`*-commutative_binary64`
229×	`associate-r_binary64`
189×	`+-commutative_binary64`
185×	`distribute-rgt-in_binary64`

Counts

55 → 102

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1037	16452
1	3442	13557
2	5080	13557

prune775.0ms (0.5%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	333	8	341
Fresh	6	19	25
Picked	1	0	1
Done	0	1	1
Total	340	28	368

Error

13.4b

Counts

368 → 28

Alt Table

Status	Error	Program
	59.8b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 C C) (.f64 B B)) (pow.f64 A 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 C (.f64 B B)) (.f64 A A)) (/.f64 (.f64 B B) A)))))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	56.4b	(/.f64 -1 (/.f64 (sqrt.f64 (*.f64 -2 (/.f64 A F))) (sqrt.f64 2)))
	60.0b	(/.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)))
	52.7b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) B))
	50.3b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B))))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	60.3b	(.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (+.f64 (.f64 A A) (.f64 C (-.f64 C (.f64 2 A)))))))) (*.f64 C A)))) (neg.f64 (sqrt.f64 2)))
	54.8b	(/.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 2 C)))))))
	54.4b	(/.f64 -1 (/.f64 (sqrt.f64 (*.f64 -2 (/.f64 C F))) (sqrt.f64 2)))
	57.1b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 2 A) (.f64 1/2 (/.f64 (.f64 B B) C)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	53.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	60.7b	(/.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 (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))))))))
	54.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
✓	46.7b	(/.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)))
	54.5b	(/.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)))
	48.0b	(/.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)))))))))
	56.2b	(.f64 -1 (/.f64 (.f64 (sqrt.f64 (.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	50.7b	(/.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)))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 C C) (.f64 F (.f64 B B))) A) (.f64 8 (.f64 C (.f64 F (.f64 B B))))) (+.f64 (/.f64 (.f64 F (pow.f64 B 4)) A) (.f64 16 (.f64 A (.f64 (.f64 C C) F))))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	56.3b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (sqrt.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))) C) (.f64 F (.f64 B B)))))))
	55.2b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 (.f64 F (.f64 (sqrt.f64 2) (.f64 B B))) (sqrt.f64 (.f64 -8 (.f64 C F)))))))
	51.5b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (neg.f64 B)))
	55.8b	(/.f64 -1 (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)))))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (pow.f64 C 2) (pow.f64 B 2)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
	61.2b	(/.f64 -1 (-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -2 (/.f64 A F))) (sqrt.f64 2)) (+.f64 (.f64 1/4 (/.f64 (.f64 A (pow.f64 B 2)) (.f64 (pow.f64 C 2) (.f64 F (.f64 (sqrt.f64 (.f64 -2 (/.f64 A F))) (sqrt.f64 2)))))) (.f64 1/4 (/.f64 (pow.f64 B 2) (.f64 C (.f64 F (.f64 (sqrt.f64 (.f64 -2 (/.f64 A F))) (sqrt.f64 2)))))))) (.f64 1/32 (/.f64 (pow.f64 B 4) (.f64 (pow.f64 C 2) (.f64 (pow.f64 F 2) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 A F))) 3) (sqrt.f64 2))))))))
	56.4b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	53.5b	(neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 C (hypot.f64 B C)) F)) (/.f64 (sqrt.f64 2) B)))
	57.5b	(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (.f64 B B) A)))))) (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))))

Compiler

Compiled 53649 to 30435 computations (43.3% saved)

regimes4.6s (3.1%)

Accuracy

Total 22.8b remaining (58.9%)

Threshold costs 0b (0%)

Counts

213 → 8

Compiler

Compiled 55616 to 35232 computations (36.7% saved)

bsearch966.0ms (0.6%)

Steps

Iters	Range		Point
9	4.866917258529016e-41	4.016646134175588e-35	3.970546704490302e-35
9	5.152443316196249e-219	2.3342722938514282e-210	5.5496505724582263e-219
6	-8.071585690524906e-147	-6.933317499963594e-148	-1.0187912648246002e-147
9	-1.8109607605505028e-123	-8.28824584660541e-129	-1.4125878020671972e-123
8	-1.6266251565233708e-62	-3.1061208001867455e-67	-2.127380252783781e-65
6	-3.512333428737783e-41	-5.0744941484329705e-42	-5.1364121203259466e-42
10	-1.8294473109616663e+60	-5.629509819942757e+49	-1.3964131076538082e+54

Compiler

Compiled 5 to 4 computations (20% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
19×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	399
1	139	399
2	164	399
3	182	399
4	191	399
5	192	399
6	192	399

end13.5s (9%)

Compiler: Compiled 1840 to 1124 computations (38.9% saved)

Details

analyze3.3s (2.2%)

sample6.8s (4.5%)

simplify79.0ms (0.1%)

prune6.0ms (0%)

localize16.0ms (0%)

series17.7s (11.8%)

rewrite48.0ms (0%)

simplify433.0ms (0.3%)

prune997.0ms (0.7%)

localize16.0ms (0%)

series4.3s (2.9%)

rewrite25.0ms (0%)

simplify238.0ms (0.2%)

prune641.0ms (0.4%)

localize17.0ms (0%)

series4.3s (2.8%)

rewrite12.0ms (0%)

simplify314.0ms (0.2%)

prune660.0ms (0.4%)

localize16.0ms (0%)

series1.5min (60%)

rewrite13.0ms (0%)

simplify196.0ms (0.1%)

prune775.0ms (0.5%)

regimes4.6s (3.1%)

bsearch966.0ms (0.6%)

simplify12.0ms (0%)

end13.5s (9%)

Profiling