Details

analyze731.0ms (3.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	7
13.3%	12.5%	81.1%	0.1%	0%	6.2%	0%	8
20.1%	18.3%	72.9%	0.1%	0%	8.6%	0%	9
32.7%	28.3%	58.3%	0.1%	0%	13.3%	0%	10
39.7%	33.7%	51.3%	0.1%	0.8%	14%	0%	11
47.7%	39.1%	42.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.7s (14.2%)

Results

2.3s	8256×	body	256	valid
227.0ms	1040×	body	256	invalid
110.0ms	528×	body	256	infinite

Bogosity

preprocess129.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

666×	`associate-/l*_binary64`
623×	`fma-neg_binary64`
569×	`div-sub_binary64`
537×	`associate-/r*_binary64`
307×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1726	200
5	3276	200
6	7774	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)) (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)) (/.f64 (.f64 2 b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (.f64 a 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (.f64 a 2)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) a)) (.f64 c (/.f64 -2 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c)))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4))))) (.f64 b 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a)) c))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4))))) (.f64 b 2)) (/.f64 c (/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (*.f64 c -4)))) a) 2)))
(if (>=.f64 a 0) (.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b)) (/.f64 c (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a))) a) 2)))
(if (>=.f64 a 0) (.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4))))) (/.f64 (.f64 c -2) (-.f64 a (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4))))))
(if (>=.f64 a 0) (.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) (/.f64 -1/2 b)) (.f64 2 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)) (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 4 c))))) (.f64 c 2)) (/.f64 (.f64 a 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 4 c)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (.f64 c 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (.f64 c 2)) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) c)) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 (/.f64 -1/2 c) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (.f64 a (/.f64 -2 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 -1/2 c)) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)) (/.f64 (.f64 2 b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (.f64 a 2)) (/.f64 (.f64 b 2) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a)))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 -4 (.f64 b a))))) (.f64 a 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 -4 (.f64 b a)))) c)) b))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) (.f64 a 2)) (.f64 b (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c))))
(if (>=.f64 c 0) (.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) a)) (.f64 b (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c))))
(if (>=.f64 c 0) (.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))))) (/.f64 (.f64 b -2) (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))))))
(if (>=.f64 c 0) (.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) (/.f64 -1/2 a)) (/.f64 b (.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) -1/2)))

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify155.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
609×	`div-sub_binary64`
512×	`times-frac_binary64`
375×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -4 c))))) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -4 c)))) b)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b))))
(if (>=.f64 b 0) (.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b))))
(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 -1/2 a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))

eval2.0ms (0%)

Compiler: Compiled 75 to 46 computations (38.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

20.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

▶

20.5b

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize106.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series38.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
2.0ms	b	@	0	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
2.0ms	c	@	inf	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
2.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
2.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite196.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
690×	`log-prod_binary64`
416×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4360	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Outputs
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c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (.f64 a c)) 4 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (.f64 c (.f64 a -4)) 1 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 4 c)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 4 c))) 2) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))

simplify183.0ms (1%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
689×	`associate-r_binary64`
650×	`associate-l_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
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b
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b
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(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))

eval1.6s (8.7%)

Compiler: Compiled 37536 to 22600 computations (39.8% saved)

prune347.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	716	13	729
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	717	13	730

Error

5.0b

Counts

730 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	35.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	23.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	19.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	22.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	25.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	30.8b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.9b	(if (>=.f64 b 0) (/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	23.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
▶	33.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4))))))))
	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Compiler

Compiled 1178 to 772 computations (34.5% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	4.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
✓	5.1b	(.f64 (/.f64 (.f64 c 2) b) a)
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 169 to 93 computations (45% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
1.0ms	c	@	0	(.f64 (/.f64 (.f64 c 2) b) a)
1.0ms	b	@	inf	(.f64 (/.f64 (.f64 c 2) b) a)
1.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
1.0ms	c	@	inf	(.f64 (/.f64 (.f64 c 2) b) a)

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`log-prod_binary64`
412×	`fma-def_binary64`
296×	`fma-neg_binary64`
241×	`log-div_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	306	30
2	4581	30

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 c 2) b) a)
(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (+.f64 c c) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 c c) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (.f64 (+.f64 c c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 c c) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 c c) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 c c) a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 c c) a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 c c) a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c a) (.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 c -2) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a c) (.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 c -2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (+.f64 c c) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 c c) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 c c) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 c c) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 c c) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 c c) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (+.f64 c c) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (+.f64 c c) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (/.f64 (+.f64 c c) b) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))) (cbrt.f64 (exp.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 2 (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (/.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 c (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 c c) (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 2) (cbrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) (sqrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 c c)) (.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c -2) (/.f64 1 (-.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 2 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 2 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 c (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 (+.f64 c c) (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (cbrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 2 (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 c (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 (+.f64 c c) (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 c c) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 (/.f64 (+.f64 c c) b) a b) 3))) (fma.f64 (fma.f64 (/.f64 (+.f64 c c) b) a b) (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (pow.f64 (fma.f64 (/.f64 (+.f64 c c) b) a b) 2))) (-.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (/.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (-.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 c c) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 c c) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (+.f64 c c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 c c) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 c c) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 c c) a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 c c) a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 c c) a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c -2) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c -2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 c c) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 c c) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 c c) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 c c) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 c c) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 c c) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 c c) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 c c) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 c c) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 c c) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 c c) b) a)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 2) (cbrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) (sqrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (-.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 2 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 c (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 (+.f64 c c) (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (cbrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 2 (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 c (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 (+.f64 c c) (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 (/.f64 (+.f64 c c) b) a b) 3))) (fma.f64 (fma.f64 (/.f64 (+.f64 c c) b) a b) (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (*.f64 b b) (pow.f64 (fma.f64 (/.f64 (+.f64 c c) b) a b) 2))) (-.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (-.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c (+.f64 b (fma.f64 (/.f64 (+.f64 c c) b) a b))))) 1))))))

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-*l/_binary64`
714×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
501×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1451
1	159	1427
2	595	1387
3	3324	1383

Stop Event

1×	node limit

Counts

148 → 93

Calls

Call 1

Inputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))

Outputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series20.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
5.0ms	b	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
1.0ms	b	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log-prod_binary64`
734×	`fma-def_binary64`
379×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4945	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2) (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 c (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 2 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 (+.f64 c c) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 c (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 2 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (+.f64 c c) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (fma.f64 b b (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1))))))

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
857×	`times-frac_binary64`
549×	`associate-*l/_binary64`
530×	`associate-/l*_binary64`
529×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	871
1	555	790
2	2299	692

Stop Event

1×	node limit

Counts

68 → 78

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (+.f64 (.f64 -2 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1 (/.f64 (.f64 a (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3))))) (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2)) b) (pow.f64 a 2))))))) (*.f64 -1 (/.f64 b a)))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -2 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))) (.f64 1/2 (/.f64 1 (.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (+.f64 (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a)))))) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2)) b) c)) (+.f64 (.f64 -1 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (pow.f64 b 2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a)))))

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 b a)))
(-.f64 (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (+.f64 (.f64 -2 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1 (/.f64 (.f64 a (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3))))) (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2)) b) (pow.f64 a 2))))))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (fma.f64 -2 (.f64 (pow.f64 c 3) (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (+.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)) (/.f64 (*.f64 a a) b)))))) (neg.f64 (/.f64 b a)))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (.f64 (pow.f64 c 3) (-.f64 (fma.f64 -1/8 (.f64 (/.f64 b a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a)) (/.f64 a (/.f64 (pow.f64 b 5) a))) (.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)))))) (/.f64 b a)))
(fma.f64 -2 (.f64 (.f64 c c) (+.f64 (.f64 (/.f64 a (pow.f64 b 3)) -1/2) (.f64 c (+.f64 (/.f64 (.f64 a (/.f64 1/2 (/.f64 (pow.f64 b 3) a))) (.f64 b b)) (fma.f64 -1/8 (.f64 (/.f64 b a) (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) a)) (/.f64 a (/.f64 (pow.f64 b 5) a))))))) (-.f64 (/.f64 c b) (/.f64 b a)))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 (.f64 b b) (.f64 -2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1/8 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (.f64 (/.f64 b a) -1/2)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -2 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))) (.f64 1/2 (/.f64 1 (.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (+.f64 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)) (/.f64 1/2 (.f64 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (fma.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2)) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2)) (/.f64 1/2 (.f64 c (.f64 (.f64 a a) 16)))))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 -2 (.f64 (.f64 b b) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1/8 (sqrt.f64 -4))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) -1/2) 16) (/.f64 (/.f64 1/32 (.f64 a a)) c)) b))) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 b a)))
(-.f64 (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (+.f64 (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a)))))) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 (.f64 a (.f64 c c)) -1/2) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (fma.f64 -1 (.f64 (.f64 a c) (.f64 (.f64 a (.f64 c c)) -1/2)) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 c (.f64 a a)))))) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c (.f64 a c)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (-.f64 (.f64 -1/8 (/.f64 (fma.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (.f64 4 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 a (.f64 a c)))) (.f64 c (.f64 (.f64 (.f64 a c) (*.f64 a c)) -1/2)))) (pow.f64 b 5)))) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (-.f64 (.f64 (/.f64 -2 (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (.f64 a (.f64 a c))) (.f64 a (-.f64 (.f64 (pow.f64 c 3) a) (.f64 c (.f64 a (.f64 (.f64 c c) -1/2))))))) (/.f64 b a)) (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (.f64 c c))) (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 -2 a) a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 2 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)))) (/.f64 c b)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 7) -5/2) (pow.f64 c 4))) (/.f64 (.f64 (.f64 (.f64 -2 a) a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 b a)))
(-.f64 (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2)) b) c)) (+.f64 (.f64 -1 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (pow.f64 b 2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 a a) (fma.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (/.f64 (.f64 -2 (.f64 c c)) (pow.f64 b 3)) 2)) (/.f64 c b)) (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) -1/2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) (fma.f64 -2 (.f64 a (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a)))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (+.f64 (.f64 a (.f64 a (fma.f64 -1/8 (.f64 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) c) b) (-.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 c b) (/.f64 (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3)) b)))))) (.f64 a (/.f64 (.f64 (*.f64 c c) -1/2) (pow.f64 b 3))))) (/.f64 b a)))
(fma.f64 -2 (.f64 a (+.f64 (.f64 a (-.f64 (fma.f64 -1/8 (.f64 (/.f64 b c) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) -1/2) (.f64 b b)))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) -1/2)))) (-.f64 (/.f64 c b) (/.f64 b a)))

localize155.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.0b	(-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (*.f64 a -4))))
✓	23.7b	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))))
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	36.9b	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))

Compiler

Compiled 294 to 172 computations (41.5% saved)

series18.0ms (0.1%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))
1.0ms	a	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))
1.0ms	a	@	inf	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))))
1.0ms	c	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))
1.0ms	c	@	inf	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))))

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`log-prod_binary64`
741×	`fma-def_binary64`
315×	`fma-neg_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	355	40
2	5073	39

Stop Event

1×	node limit

Counts

3 → 277

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))

(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))

(-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4))))

Outputs

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16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) c) (*.f64 a -4) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (*.f64 a -4)) c (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (cbrt.f64 (*.f64 -4 (*.f64 c a))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (sqrt.f64 (*.f64 -4 (*.f64 c a))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (*.f64 c a)) -4 (pow.f64 b 4))))))

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

449×	`distribute-neg-frac_binary64`
361×	`times-frac_binary64`
338×	`unswap-sqr_binary64`
308×	`fma-neg_binary64`
294×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1541
1	235	1474
2	764	1451
3	3832	1443
4	5118	1443
5	6982	1443

Stop Event

1×	node limit

Counts

369 → 310

Calls

Call 1

Inputs
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))

Outputs
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 b (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a)))))))
(+.f64 b (.f64 -2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (*.f64 b b))))))
(-.f64 b (.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (.f64 (*.f64 -2 c) a) b))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a)))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (.f64 b b))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (.f64 2 (.f64 (/.f64 c b) a)) b)
(fma.f64 2 (/.f64 a (/.f64 b c)) (neg.f64 b))
(neg.f64 (fma.f64 -2 (/.f64 a (/.f64 b c)) b))
(-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) b)
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a))))) (neg.f64 b))
(fma.f64 2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (.f64 b b)))) (neg.f64 b))
(fma.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (.f64 (.f64 2 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))) b))
(fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))))) (neg.f64 b)))
(fma.f64 2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (.f64 b b)))) (fma.f64 4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (neg.f64 b)))
(-.f64 (.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b))))) (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 b (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a)))))))
(+.f64 b (.f64 -2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (*.f64 b b))))))
(-.f64 b (.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (.f64 (*.f64 -2 c) a) b))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a)))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (.f64 b b))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 b (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a)))))))
(+.f64 b (.f64 -2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (*.f64 b b))))))
(-.f64 b (.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (.f64 (*.f64 -2 c) a) b))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a)))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (.f64 (/.f64 c b) (+.f64 a (/.f64 (.f64 a (.f64 c a)) (.f64 b b))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b))))))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	13.0b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	24.3b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 194 to 113 computations (41.8% saved)

series140.0ms (0.7%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
54.0ms	b	@	inf	(fma.f64 b b (.f64 c (.f64 a -4)))
14.0ms	c	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
12.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
7.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
5.0ms	a	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

rewrite286.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
607×	`log-prod_binary64`
289×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	308	40
2	3774	40

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
(fma.f64 b b (.f64 c (.f64 a -4)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3)) (fma.f64 (*.f64 b b) (*.f64 b b) (-.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 2) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a -4)) 2)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4)))) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b b)) (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1))))))

simplify251.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
518×	`associate-r_binary64`
397×	`*-commutative_binary64`
386×	`associate-l_binary64`
303×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	5342
1	1655	4717
2	7571	4441

Stop Event

1×	node limit

Counts

368 → 391

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
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(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 a (.f64 -4 c)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 a (.f64 -4 c)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (.f64 (neg.f64 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 -3/2 (sqrt.f64 -1))))))
(fma.f64 (.f64 (neg.f64 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 -3/2 (sqrt.f64 -1))))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (.f64 c (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 a (sqrt.f64 -1)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 (sqrt.f64 b) 1)))
(fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1)))
(fma.f64 (.f64 (neg.f64 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(fma.f64 -1 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (.f64 (sqrt.f64 b) 1) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (.f64 (sqrt.f64 b) 1))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(fma.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (neg.f64 c) a)))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (.f64 (/.f64 a b) (/.f64 c b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) a)) (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512)) (*.f64 c c))))
(+.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (.f64 (/.f64 a b) (/.f64 c b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) c) (/.f64 (.f64 -3/512 (/.f64 (pow.f64 b 4) (*.f64 a a))) c)))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) a)) (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))) (.f64 (/.f64 (.f64 -3/512 (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 c c)) (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512)) (.f64 c c))) (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c)))))))))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) c) (/.f64 (.f64 -3/512 (/.f64 (pow.f64 b 4) (.f64 a a))) c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (.f64 (/.f64 a b) (/.f64 c b))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))))
(+.f64 (+.f64 (.f64 (/.f64 (.f64 -3/512 (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 c c)) (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))) (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4))) (fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) a)) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)))))
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(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 b b)) (.f64 c (pow.f64 a 3))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (pow.f64 a 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)))) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) a)) (fma.f64 1/8 (.f64 (/.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 c -3/512)) (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (-.f64 (-.f64 (.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192)))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c)) (pow.f64 b 4)) (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) 2))) (.f64 a a)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) a)) (fma.f64 1/8 (.f64 (/.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 c -3/512)) (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) (-.f64 (.f64 2 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) (/.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192)))) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) (.f64 c c)) (pow.f64 b 4)) (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) 2))) (.f64 a a))))))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 -4 c))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 -4 c))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 -4 c))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 -4 c))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 -4 c))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))

localize208.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (*.f64 4 c)))
✓	8.1b	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
✓	14.2b	(sqrt.f64 (.f64 c (.f64 a -4)))
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 237 to 125 computations (47.3% saved)

series77.0ms (0.4%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
12.0ms	c	@	inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
10.0ms	c	@	inf	(+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (*.f64 4 c)))
7.0ms	c	@	-inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	a	@	inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`fma-def_binary64`
325×	`fma-neg_binary64`
323×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	371	54
2	5054	54

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 c (*.f64 a -4)))

(/.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 a (*.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))

(+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 a (*.f64 4 c)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (cbrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -4 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -4 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1))))))

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a 4))) 2) (cbrt.f64 (*.f64 c (*.f64 a 4))) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b (+.f64 b b))) (pow.f64 (cbrt.f64 (*.f64 b (+.f64 b b))) 2) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (+.f64 b b))) 2) (cbrt.f64 (*.f64 b (+.f64 b b))) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 c)) (*.f64 (*.f64 2 (sqrt.f64 c)) a) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 c 4)) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 b b) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) b) (fma.f64 b b (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c (*.f64 a 4))) (sqrt.f64 (*.f64 c (*.f64 a 4))) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b b) (hypot.f64 b b) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c a) 4 (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) c (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 b b (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 b b (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 c 4)) 2)) (cbrt.f64 (*.f64 c 4)) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 2 (sqrt.f64 c))) (*.f64 2 (sqrt.f64 c)) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c 4) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c 4) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) 1) c (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b (+.f64 b b)))))))

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
745×	`associate-/r*_binary64`
692×	`associate-/l*_binary64`
336×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1567
1	520	1196
2	2538	1046

Stop Event

1×	node limit

Counts

190 → 169

Calls

Call 1

Inputs
(.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (sqrt.f64 -4)))) (pow.f64 b 3)) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
b
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b) (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))) b)) (.f64 1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))) (+.f64 b (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 -1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -1 (.f64 b (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))) (.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 -1 (.f64 b (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2))))))) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2))))))) (pow.f64 b 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))))) (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 b (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2))))))) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 3))))))))))))
b
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
b
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))

Outputs
(.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -4 (/.f64 b -4)))
(fma.f64 4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -2)) (.f64 b b) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 -4 (/.f64 b -4) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 b (.f64 b (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)))))))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (+.f64 (/.f64 2 (sqrt.f64 -4)) (/.f64 -1/2 (sqrt.f64 -4))))) b))
(+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (sqrt.f64 -4)))) (pow.f64 b 3)) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 (-.f64 (/.f64 2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (-.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -2))) (sqrt.f64 -4))) (pow.f64 b 3) (fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -2)) (.f64 b b) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 (-.f64 (/.f64 2 (.f64 c (.f64 a 16))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))) (sqrt.f64 -4)))) (pow.f64 b 3) (fma.f64 -4 (/.f64 b -4) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 b (.f64 b (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -2) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -2) 16))) (/.f64 (/.f64 1/8 a) c)) (pow.f64 b 3) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (+.f64 (/.f64 2 (sqrt.f64 -4)) (/.f64 -1/2 (sqrt.f64 -4))))) b)))
b
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b) (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) b) (.f64 -1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(-.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) b) (/.f64 (.f64 (.f64 c a) -1) b))
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(fma.f64 2 (.f64 b b) (.f64 4 (*.f64 c a)))
(fma.f64 4 (.f64 c a) (.f64 (*.f64 2 b) b))
(fma.f64 b (.f64 b 2) (.f64 a (*.f64 4 c)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(fma.f64 2 (.f64 b b) (.f64 4 (*.f64 c a)))
(fma.f64 4 (.f64 c a) (.f64 (*.f64 2 b) b))
(fma.f64 b (.f64 b 2) (.f64 a (*.f64 4 c)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(fma.f64 2 (.f64 b b) (.f64 4 (*.f64 c a)))
(fma.f64 4 (.f64 c a) (.f64 (*.f64 2 b) b))
(fma.f64 b (.f64 b 2) (.f64 a (*.f64 4 c)))

eval2.5s (13.6%)

Compiler: Compiled 95499 to 57553 computations (39.7% saved)

prune866.0ms (4.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1715	18	1733
Fresh	6	2	8
Picked	1	0	1
Done	3	1	4
Total	1725	21	1746

Error

1.6b

Counts

1746 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	38.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	23.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	25.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	29.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 b b) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	22.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
✓	23.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	34.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	29.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	38.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
▶	46.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
▶	30.5b	(if (>=.f64 b 0) (/.f64 (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	43.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	34.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	34.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))))
	35.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
▶	38.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
	32.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))

Compiler

Compiled 1532 to 1023 computations (33.2% saved)

localize105.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))))))
✓	23.7b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	51.5b	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))

Compiler

Compiled 254 to 141 computations (44.5% saved)

series34.0ms (0.2%)

Counts

3 → 64

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	c	@	inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`log-prod_binary64`
625×	`fma-def_binary64`
320×	`fma-neg_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	347	69
2	4649	69

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs

(fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))

(sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))))

(-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a 4)) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c (*.f64 a -4)) 1) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))) (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 2)) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))) (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (pow.f64 (*.f64 c (*.f64 a 4)) 3)) (fma.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)) (-.f64 (pow.f64 (*.f64 c (*.f64 a 4)) 2) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4))) (pow.f64 (*.f64 c (*.f64 a 4)) 2)) (-.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 4) c) a) (exp.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a 4)))) (exp.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 c (*.f64 a -4))) (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))) (cbrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4)))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 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simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

977×	`times-frac_binary64`
649×	`associate-/l*_binary64`
554×	`fma-def_binary64`
491×	`associate-/r*_binary64`
382×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1400
1	522	1244
2	1880	1155

Stop Event

1×	node limit

Counts

233 → 233

Calls

Call 1

Inputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 5))) (pow.f64 b 6))) (+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))))
b
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b)) b)
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))) b))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3))) b)))
(*.f64 -1 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1 b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) b)
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) b)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))))))
(.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a)))))
(+.f64 (.f64 -1 b) (.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))) (+.f64 (.f64 -1 b) (.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))) (+.f64 (.f64 -1 b) (.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))))))
(*.f64 -2 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -2 b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2)) 2) (.f64 1/16 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 4))) (pow.f64 b 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) c) b)))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (*.f64 -2 b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (*.f64 4 c)) 2)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (*.f64 4 c)) 2)) (pow.f64 b 3))))))

Outputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 a (.f64 c -4)))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 c a)) -4)) (.f64 b b)) (sqrt.f64 (.f64 c (*.f64 a -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 c a)) -4)) (.f64 (*.f64 b b) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (pow.f64 b 4)) (sqrt.f64 (.f64 c (.f64 a -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 5))) (pow.f64 b 6))) (+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 5))) (pow.f64 b 6)) (+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))))
(+.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 c a)) -4)) (.f64 (.f64 b b) 1/2))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5))) (pow.f64 b 6)) (sqrt.f64 (.f64 c (.f64 a -4)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5))) (.f64 (pow.f64 b 6) 1/16) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (pow.f64 b 4)) (sqrt.f64 (.f64 c (*.f64 a -4))))))
b
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b)) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1 b))
(fma.f64 -1/2 (/.f64 a (/.f64 b (*.f64 c -4))) (neg.f64 b))
(-.f64 (.f64 (.f64 (/.f64 (*.f64 a -4) b) c) -1/2) b)
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b)))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b))
(.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a)))))
(neg.f64 (sqrt.f64 (.f64 a (.f64 c -4))))
(neg.f64 (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (.f64 -1 b) (.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))))
(.f64 -1 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))
(-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))) (+.f64 (.f64 -1 b) (.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)) (.f64 -1 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 c a)) -4)) -1/2) (.f64 b b) (neg.f64 b)) (sqrt.f64 (.f64 c (*.f64 a -4))))
(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 (.f64 b b) -1/2)) b) (sqrt.f64 (.f64 c (*.f64 a -4))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))) (+.f64 (.f64 -1 b) (.f64 -1 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)) (.f64 -1 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) 1/8 (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 c a)) -4)) -1/2) (.f64 b b) (neg.f64 b)) (sqrt.f64 (.f64 c (.f64 a -4)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 (.f64 b b) -1/2) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (.f64 (pow.f64 b 4) 1/8))) (+.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -2 b))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 b -2))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (*.f64 b -2))
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 b -2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 b (.f64 c a))))))
(.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b))
(.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))))
(.f64 1/2 (.f64 (/.f64 (*.f64 a -4) b) c))
(/.f64 -2 (/.f64 b (*.f64 c a)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (.f64 1/2 (.f64 (/.f64 (*.f64 a -4) b) c)))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (.f64 1/16 (/.f64 (.f64 (pow.f64 (*.f64 c a) 3) -64) (pow.f64 b 5)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) (/.f64 -2 (/.f64 b (.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2)) 2) (.f64 1/16 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 4))) (pow.f64 b 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (.f64 a (.f64 c -4)) 2)) 2) (.f64 1/16 (pow.f64 (.f64 a (.f64 c -4)) 4))) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 (.f64 c (.f64 a -4)) 4) (.f64 (pow.f64 (.f64 c (.f64 a -4)) 4) 1/64)) (pow.f64 b 7)) (fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 c (.f64 a -4)) 4) 5/64) (pow.f64 b 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) c) b)))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 b -2))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (*.f64 b -2))
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (*.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 b -2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 b (.f64 c a))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (*.f64 -2 b))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 b -2))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (*.f64 b -2))
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (*.f64 4 c)) 2)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (*.f64 4 c)) 2)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -2 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (fma.f64 b -2 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (/.f64 2 (/.f64 b (.f64 c a))))))

localize18.0ms (0.1%)

Compiler: Compiled 47 to 21 computations (55.3% saved)

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
	14.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 93 to 53 computations (43% saved)

series33.0ms (0.2%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	b	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
3.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
2.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
2.0ms	a	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary64`
387×	`fma-def_binary64`
335×	`pow2_binary64`
254×	`pow-unpow_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	284	30
2	3987	30

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))

Outputs

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(sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

541×	`times-frac_binary64`
367×	`distribute-rgt-in_binary64`
328×	`associate-+l+_binary64`
294×	`associate-/r*_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	697
1	214	625
2	745	600
3	3943	590
4	4884	590
5	5605	590
6	6811	590

Stop Event

1×	node limit

Counts

147 → 141

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 c b))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 c b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(*.f64 -1 b)

Outputs
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (/.f64 (/.f64 b -2) a))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 b (.f64 a -4)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -4 (.f64 b b))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (.f64 2 (+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (pow.f64 b 3) (.f64 (.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 b (.f64 a -4))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (*.f64 a 16)))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))))
(+.f64 (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (.f64 (/.f64 b a) -1/2)) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -4 (.f64 b b)))))) (.f64 (/.f64 (pow.f64 b 3) c) (/.f64 1/8 (.f64 a a))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 c b)))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 c (sqrt.f64 (*.f64 c a))) (/.f64 b (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b)))
(fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 c (sqrt.f64 (.f64 c a))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a)))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(fma.f64 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2)) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 c (sqrt.f64 (.f64 c a))) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (*.f64 b b)))))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 c b)))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 c (sqrt.f64 (*.f64 c a))) (/.f64 b (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b)))
(fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 c (sqrt.f64 (.f64 c a))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a)))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(fma.f64 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2)) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 c (sqrt.f64 (.f64 c a))) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (*.f64 b b)))))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
✓	0.1b	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)
✓	0.4b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	14.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 113 to 67 computations (40.7% saved)

series60.0ms (0.3%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	c	@	inf	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)
7.0ms	c	@	-inf	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)
5.0ms	c	@	-inf	(/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
4.0ms	c	@	inf	(/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
4.0ms	a	@	inf	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`log-prod_binary64`
671×	`prod-diff_binary64`
251×	`pow1/3_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	283	54
2	3626	54

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))

(*.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) c)

(/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4))))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 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(*.f64 c (*.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2) (cbrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (sqrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1))))))

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
467×	`associate-*l/_binary64`
435×	`associate-*r/_binary64`
363×	`associate-+l+_binary64`
267×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	2001
1	742	1531
2	3355	1446
3	7736	1444

Stop Event

1×	node limit

Counts

148 → 175

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))))))
(/.f64 c b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 c b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (/.f64 c b) (.f64 -2 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))))))
(.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 -4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))
(/.f64 c b)
(/.f64 c b)
(.f64 2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (/.f64 b (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (sqrt.f64 -4))))) (pow.f64 b 3)) (.f64 -2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(/.f64 1 b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b))))
(.f64 -4 (/.f64 b (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(-.f64 (.f64 -4 (/.f64 b (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (/.f64 1 b))
(-.f64 (+.f64 (.f64 -4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))) (/.f64 1 b))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 5))) (+.f64 (.f64 -4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (.f64 -1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))))) (/.f64 1 b))
(/.f64 1 b)
(/.f64 1 b)

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (*.f64 b b) 1/2) (sqrt.f64 -4))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) b))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b)) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (+.f64 (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b)) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -4) (pow.f64 b 5))))
(+.f64 (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b)) (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -2) (pow.f64 b 3)) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -4) (pow.f64 b 5))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) -1/2)
(/.f64 (.f64 (.f64 -1/2 c) (*.f64 a -4)) b)
(.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (.f64 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) -1/2))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (*.f64 a 16))) 1/8))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (.f64 (/.f64 (.f64 a (.f64 a 16)) (pow.f64 b 3)) (*.f64 c c)) 1/8))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (/.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (/.f64 (.f64 (pow.f64 a 3) (*.f64 -64 (pow.f64 c 3))) (pow.f64 b 5)) -1/16)))
(fma.f64 (.f64 (/.f64 (.f64 a (.f64 a 16)) (pow.f64 b 3)) (.f64 c c)) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 -64 (pow.f64 c 3))) (pow.f64 b 5)) -1/16 (/.f64 (.f64 1/2 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) 2))) (pow.f64 b 7)))))
(fma.f64 (.f64 (/.f64 (.f64 a (.f64 a 16)) (pow.f64 b 3)) (.f64 c c)) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 -2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 -2 (+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (.f64 (.f64 b b) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4))))) (.f64 1/2 (/.f64 b a))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4)))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))))))
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(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 5))) (+.f64 (.f64 -4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (.f64 -1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))))) (/.f64 1 b))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) 1/4))))) (fma.f64 -4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5))))) (/.f64 (.f64 (.f64 -1/4 c) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))) (/.f64 1 b))
(+.f64 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 a (.f64 a 16)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 c a) -1) (pow.f64 b 3)) (.f64 -4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 16 (pow.f64 b 5)))))))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 -4 (.f64 (.f64 c a) -1))))) (/.f64 (.f64 1 (/.f64 b a)) c)))) (/.f64 -1 b))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 c a) -1) (pow.f64 b 3)) (.f64 (/.f64 -4 (.f64 (.f64 c c) (.f64 a a))) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 16 (pow.f64 b 5))))) (+.f64 (fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 c (.f64 a -4)) -1))) (/.f64 (/.f64 b a) c)) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 a (*.f64 a 16)))) (/.f64 -1 b))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 a (.f64 a 16)))) (+.f64 (fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 c (.f64 a -4)) -1))) (/.f64 (/.f64 b a) c)) (+.f64 (/.f64 (.f64 (.f64 c a) -1) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c (.f64 c (.f64 (.f64 a (*.f64 a 16)) (pow.f64 b 5))))) (/.f64 -1 b)))))
(/.f64 1 b)
(/.f64 1 b)

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a))
✓	7.1b	(/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
	14.2b	(sqrt.f64 (.f64 c (.f64 a -4)))
	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 198 to 117 computations (40.9% saved)

series36.0ms (0.2%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
5.0ms	a	@	inf	(/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
4.0ms	c	@	-inf	(/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
4.0ms	a	@	-inf	(/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
3.0ms	a	@	-inf	(/.f64 (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`prod-diff_binary64`
324×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
266×	`fma-def_binary64`
186×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	372	54
2	5211	54

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs
(/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(/.f64 (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a))

Outputs

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1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 4 c) (*.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 4 c)) (/.f64 1 (*.f64 a (*.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 4 c)) (*.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (*.f64 4 c)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 4 c) (*.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 4 c) (*.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))))) (#(struct:change #<rule 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simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

991×	`fma-def_binary64`
770×	`associate-/l*_binary64`
688×	`associate-/r*_binary64`
349×	`associate-*l/_binary64`
318×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1429
1	634	1104
2	2758	1000

Stop Event

1×	node limit

Counts

129 → 148

Calls

Call 1

Inputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 -4 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 -4 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(*.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(+.f64 (.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 4 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 1/16 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 5))))))
(/.f64 c b)
(/.f64 c b)
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))))))
(/.f64 c b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 c b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (/.f64 c b) (.f64 -2 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))))))
(.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 -4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))

Outputs
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 c (/.f64 (*.f64 1/2 b) a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 c (/.f64 (*.f64 1/2 b) a))
(.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -4 (/.f64 b -4)))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1 b))
(+.f64 (.f64 -4 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 -4 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 -4 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -4 (/.f64 b -4))))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -4 (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/8 (sqrt.f64 -4)))) (/.f64 b -4))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 -4 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 4 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (sqrt.f64 -4))))) (fma.f64 -4 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 4 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 c 16))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (fma.f64 -4 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -4 (/.f64 b -4)))))
(fma.f64 -4 (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/8 (sqrt.f64 -4)))) (/.f64 b -4)) (.f64 4 (+.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) -1/2) 16) (/.f64 (/.f64 1/32 a) c))))))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 c (/.f64 (*.f64 1/2 b) a))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 -1/2 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) (pow.f64 b 3))))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a -4)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 (/.f64 -1/2 (pow.f64 b 3)) (.f64 -4 (.f64 (.f64 c c) (.f64 a a)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) (pow.f64 b 3)) (.f64 1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a -4))) (.f64 1/4 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) 16) (pow.f64 a 3))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (.f64 (/.f64 -1/2 (pow.f64 b 3)) (.f64 -4 (.f64 (.f64 c c) (.f64 a a))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -4 (/.f64 (.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 6)) 5/128) (pow.f64 b 7)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) (pow.f64 b 3)) (.f64 1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3))))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 -4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a -4))) (.f64 1/4 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) 16) (pow.f64 a 3)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 -4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (.f64 (/.f64 -1/2 (pow.f64 b 3)) (.f64 -4 (.f64 (.f64 c c) (.f64 a a)))))))
(*.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(*.f64 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) -8)
(/.f64 (*.f64 b -8) -4)
(*.f64 2 b)
(+.f64 (.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 (/.f64 c (/.f64 b a)) -2))
(fma.f64 (.f64 (/.f64 c b) a) -2 (/.f64 (.f64 b -8) -4))
(fma.f64 (.f64 (/.f64 c b) a) -2 (.f64 2 b))
(+.f64 (.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 4 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (.f64 (/.f64 c (/.f64 b a)) -2)))
(fma.f64 (/.f64 b -4) -8 (fma.f64 (.f64 (/.f64 c b) a) -2 (.f64 4 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -1/2) (pow.f64 b 3)))))
(fma.f64 (.f64 (/.f64 c b) a) -2 (fma.f64 4 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (/.f64 (pow.f64 b 3) -1/2)) (*.f64 2 b)))
(+.f64 (.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 4 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 1/16 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 5))))))
(fma.f64 -8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 4 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 4 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8)))) (.f64 (.f64 1/16 (pow.f64 c 3)) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3))))) (pow.f64 b 5))))))
(fma.f64 (/.f64 b -4) -8 (fma.f64 4 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -1/2) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 c b) a) -2 (.f64 4 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -2) 2)) (.f64 a (.f64 c 16))) (fma.f64 1/4 (.f64 c (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -1/2) (.f64 a -4))) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 1))) (pow.f64 b 5))))))
(+.f64 (.f64 2 b) (fma.f64 (.f64 (/.f64 c b) a) -2 (.f64 4 (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 (fma.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64))) c) (fma.f64 c (.f64 (.f64 a (.f64 -1/2 (.f64 -4 (.f64 (.f64 c c) (.f64 a a))))) 1/4) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 5))))))
(/.f64 c b)
(/.f64 c b)
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))) (.f64 -2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (/.f64 b a)))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 1/2 b) a))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(fma.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))) (.f64 -2 (+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) -1/2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (.f64 (.f64 b b) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) -1/2))) (.f64 1/2 (/.f64 b a))))
(fma.f64 (.f64 b b) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4)))) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 1/2 b) a)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))))))
(fma.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))) (fma.f64 -2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) -1/2) (sqrt.f64 -4)))))) (.f64 -2 (.f64 (.f64 b b) (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) -1/2))))))
(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (/.f64 b a))) (fma.f64 2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 (/.f64 1/2 c) (.f64 16 (.f64 a a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (/.f64 (sqrt.f64 -4) -1/2))))) (.f64 (.f64 b b) (.f64 -2 (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) -1/2))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 1/2 (/.f64 b a) (.f64 (.f64 b b) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4)))) (.f64 (.f64 2 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) -1/2) 16) (/.f64 (/.f64 (/.f64 1/32 a) c) a))) b)))))
(/.f64 c b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 c b))
(fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (*.f64 a -4)) (pow.f64 b 3)) (/.f64 c b))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4)) (/.f64 c b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 c b)))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 16 (.f64 a a)))) (fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (*.f64 a -4)) (pow.f64 b 3)) (/.f64 c b)))
(fma.f64 1/8 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (.f64 a a))) (fma.f64 -1/4 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4)) (/.f64 c b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (/.f64 c b) (.f64 -2 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (+.f64 (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) 5/128) (pow.f64 b 7)))))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 16 (.f64 a a)))) (fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (.f64 a -4)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (/.f64 c b))))
(fma.f64 1/8 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (.f64 a a))) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (fma.f64 -1/4 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4)) (/.f64 c b))))
(.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(*.f64 1 (/.f64 b a))
(/.f64 b a)
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 -4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 -1 (/.f64 c b) (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(-.f64 (*.f64 1 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 b a) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 c b) (fma.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) 1/8) (pow.f64 b 3)))))
(-.f64 (fma.f64 2 (/.f64 (.f64 (.f64 c (.f64 c a)) -1/2) (pow.f64 b 3)) (.f64 1 (/.f64 b a))) (/.f64 c b))
(-.f64 (fma.f64 2 (/.f64 (.f64 c (.f64 c a)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 b a)) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))
(fma.f64 -1 (/.f64 c b) (fma.f64 -4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (+.f64 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a))) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) 2)) (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) 1/8))))))) (pow.f64 b 5)) (/.f64 (.f64 (.f64 (.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) 1/8) (pow.f64 b 3))))))
(-.f64 (fma.f64 2 (+.f64 (/.f64 (.f64 (.f64 c (.f64 c a)) -1/2) (pow.f64 b 3)) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) 1) (fma.f64 1/4 (.f64 c (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a -4)) -1/2))) (.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -2) 2)) (.f64 c (.f64 16 (.f64 a a))))))) (pow.f64 b 5))) (*.f64 1 (/.f64 b a))) (/.f64 c b))
(fma.f64 2 (+.f64 (/.f64 (.f64 c (.f64 c a)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 (fma.f64 (/.f64 -1/8 (.f64 a a)) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64))) c) (fma.f64 c (.f64 (.f64 a (.f64 (.f64 a 16) (.f64 (.f64 c c) 1/8))) 1/4) (.f64 (*.f64 a a) (pow.f64 c 3)))) (pow.f64 b 5))) (-.f64 (/.f64 b a) (/.f64 c b)))

eval634.0ms (3.4%)

Compiler: Compiled 42542 to 26489 computations (37.7% saved)

prune190.0ms (1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	871	15	886
Fresh	6	9	15
Picked	1	0	1
Done	5	0	5
Total	883	24	907

Error

0.9b

Counts

907 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
▶	25.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	39.3b	(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
▶	22.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	36.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a -4))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
▶	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
	34.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	29.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	46.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
	46.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
	30.5b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a (.f64 4 c)) a) (/.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) 2)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	36.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	36.0b	(if (>=.f64 b 0) (.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (.f64 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 4 c)) (sqrt.f64 (.f64 a 2)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.4b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a 4) (.f64 a 2)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	32.0b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 4 c) (.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	40.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))))
▶	45.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
	40.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (.f64 (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) c)) 2))
	30.4b	(if (>=.f64 b 0) (/.f64 (.f64 (.f64 4 c) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	32.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	43.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))

Compiler

Compiled 1684 to 1158 computations (31.2% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 c 2) b)
✓	2.4b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
	4.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
	5.1b	(.f64 (/.f64 (.f64 c 2) b) a)

Compiler

Compiled 130 to 78 computations (40% saved)

series25.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	c	@	0	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
2.0ms	c	@	-inf	(/.f64 (*.f64 c 2) b)
1.0ms	b	@	0	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
1.0ms	b	@	-inf	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
1.0ms	c	@	0	(/.f64 (*.f64 c 2) b)

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
334×	`pow2_binary64`
246×	`pow-unpow_binary64`
237×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	257	27
2	3439	27

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
(/.f64 (*.f64 c 2) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) (*.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (*.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) 2) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) a) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) a) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 1) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) (cbrt.f64 (*.f64 (*.f64 a a) 4))) (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (cbrt.f64 (*.f64 (*.f64 a a) 4))) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a a) (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 a a) (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) 2) (cbrt.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) (sqrt.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 c) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) 1) (/.f64 (cbrt.f64 (+.f64 c c)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 2 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (+.f64 c c) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 b)) (/.f64 2 (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (/.f64 (+.f64 c c) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 (/.f64 b c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c b))) 1))))))

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

996×	`fma-def_binary64`
461×	`fma-neg_binary64`
291×	`associate-/l*_binary64`
210×	`div-sub_binary64`
206×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	536
1	19	482
2	33	482
3	47	482
4	61	482
5	89	482
6	141	482
7	206	482
8	357	482
9	648	482
10	1248	482
11	2193	482
12	3240	482
13	4065	482
14	4243	482
15	4277	482
16	4315	482
17	4365	482
18	4557	482
19	4565	482

Stop Event

1×

saturated

Counts

155 → 101

Calls

Call 1

Inputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))
(*.f64 2 (/.f64 c b))

Outputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))
(*.f64 2 (/.f64 c b))
(*.f64 (/.f64 c b) 2)
(*.f64 c (/.f64 2 b))

localize23.0ms (0.1%)

Compiler: Compiled 45 to 21 computations (53.3% saved)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
	14.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 90 to 53 computations (41.1% saved)

series9.0ms (0%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
1.0ms	c	@	inf	(/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
1.0ms	c	@	-inf	(/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
1.0ms	a	@	inf	(/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
1.0ms	c	@	0	(/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`prod-diff_binary64`
688×	`log-prod_binary64`
370×	`fma-def_binary64`
234×	`fma-neg_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	262	30
2	3551	30

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

Inputs
(/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) (pow.f64 b 3))) (fma.f64 b (fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b) (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (*.f64 c (*.f64 a -4)) (*.f64 b b))) (fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (neg.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c (-.f64 (sqrt.f64 (*.f64 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(sqrt.f64 -4) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))))

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

541×	`times-frac_binary64`
367×	`distribute-rgt-in_binary64`
328×	`associate-+l+_binary64`
294×	`associate-/r*_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	697
1	214	625
2	745	600
3	3943	590
4	4884	590
5	5605	590
6	6811	590

Stop Event

1×	node limit

Counts

184 → 178

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 c b))
(*.f64 -2 (/.f64 c b))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))

Outputs
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (/.f64 (/.f64 b -2) a))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 b (.f64 a -4)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -4 (.f64 b b))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (.f64 2 (+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (pow.f64 b 3) (.f64 (.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 b (.f64 a -4))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (*.f64 a 16)))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))))
(+.f64 (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (.f64 (/.f64 b a) -1/2)) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -4 (.f64 b b)))))) (.f64 (/.f64 (pow.f64 b 3) c) (/.f64 1/8 (.f64 a a))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 c b)))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 b (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b)))
(fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(fma.f64 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2)) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 c b)))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 b (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b)))
(fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(fma.f64 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2)) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))))))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))
✓	0.0b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))
✓	0.1b	(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))

Compiler

Compiled 98 to 54 computations (44.9% saved)

series13.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))
1.0ms	c	@	inf	(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
1.0ms	c	@	-inf	(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
1.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))
1.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
349×	`pow2_binary64`
328×	`fma-def_binary64`
269×	`pow-unpow_binary64`
243×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	303	39
2	4093	39

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))
(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -4 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) 2) (cbrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) (sqrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))) (/.f64 c (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))) (/.f64 (+.f64 c c) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))) (cbrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) (/.f64 c (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) (/.f64 (+.f64 c c) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) (fma.f64 b b (fma.f64 a (*.f64 -4 c) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) c) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (+.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (+.f64 c c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) c)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (/.f64 (*.f64 a (*.f64 -4 c)) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 a (*.f64 -4 c) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c))) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 -4 c) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2)) (fma.f64 b b (fma.f64 a (*.f64 -4 c) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2)) (fma.f64 a (*.f64 -4 c) (fma.f64 b b (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 a (*.f64 -4 c) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (*.f64 -4 c) (*.f64 b b)) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 -4 c) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (cbrt.f64 (*.f64 a (*.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (*.f64 (cbrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a -4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a -4))) (sqrt.f64 c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a -4) 1/4) (*.f64 (pow.f64 (*.f64 a -4) 1/4) (sqrt.f64 c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 c 1/4) (*.f64 (pow.f64 c 1/4) (sqrt.f64 (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (cbrt.f64 c)) (cbrt.f64 (sqrt.f64 c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (pow.f64 c 1/4)) (pow.f64 c 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 c) (cbrt.f64 (*.f64 a -4))) (cbrt.f64 (sqrt.f64 (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a -4) 1/4)) (pow.f64 (*.f64 a -4) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 -4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

541×	`times-frac_binary64`
367×	`distribute-rgt-in_binary64`
328×	`associate-+l+_binary64`
294×	`associate-/r*_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	697
1	214	625
2	745	600
3	3943	590
4	4884	590
5	5605	590
6	6811	590

Stop Event

1×	node limit

Counts

171 → 165

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 c b))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 c b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(*.f64 -1 b)

Outputs
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (/.f64 (/.f64 b -2) a))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 b (.f64 a -4)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -4 (.f64 b b))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (.f64 2 (+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (pow.f64 b 3) (.f64 (.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 b (.f64 a -4))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (*.f64 a 16)))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))))
(+.f64 (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (.f64 (/.f64 b a) -1/2)) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -4 (.f64 b b)))))) (.f64 (/.f64 (pow.f64 b 3) c) (/.f64 1/8 (.f64 a a))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 c b)))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 c (sqrt.f64 (*.f64 c a))) (/.f64 b (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b)))
(fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 c (sqrt.f64 (.f64 c a))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a)))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(fma.f64 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2)) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 c (sqrt.f64 (.f64 c a))) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (*.f64 b b)))))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 c b)))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 b (sqrt.f64 -4)))))
(.f64 (/.f64 -2 b) (+.f64 c (/.f64 (.f64 c (sqrt.f64 (*.f64 c a))) (/.f64 b (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))))
(fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b)))
(fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 8 a)))
(fma.f64 -2 (fma.f64 (.f64 c (sqrt.f64 (.f64 c a))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a)))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c b) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(fma.f64 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2)) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (fma.f64 -2 (fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 8 a))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))))))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 c (sqrt.f64 (.f64 c a))) (+.f64 (/.f64 (.f64 (sqrt.f64 -4) (.f64 c (.f64 c a))) b) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (*.f64 b b)))))))
(*.f64 -2 (/.f64 c b))
(/.f64 c (/.f64 b -2))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))
	4.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
	5.1b	(.f64 (/.f64 (.f64 c 2) b) a)
✓	35.0b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

Compiler

Compiled 180 to 107 computations (40.6% saved)

series8.0ms (0%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))
1.0ms	b	@	0	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
0.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
0.0ms	a	@	inf	(-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))
0.0ms	c	@	-inf	(-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`prod-diff_binary64`
578×	`log-prod_binary64`
319×	`pow2_binary64`
284×	`fma-def_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	280	27
2	3577	27

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
(-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 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simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-neg_binary64`
508×	`unswap-sqr_binary64`
481×	`fma-def_binary64`
428×	`associate-r_binary64`
410×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1224
1	320	1197
2	1052	1132
3	5211	1114
4	7523	1078

Stop Event

1×	node limit

Counts

205 → 211

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4)) (sqrt.f64 -4)) 1/32)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (/.f64 b (/.f64 -4 b)) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (/.f64 b (/.f64 -4 b)) (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4)) (sqrt.f64 -4)) 1/32))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (/.f64 b (/.f64 -4 b)) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (/.f64 b (/.f64 -4 b)) (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)))))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b)
(fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))))))
(+.f64 b (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -4 (pow.f64 a 3)))))
(+.f64 b (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (.f64 2 (.f64 (/.f64 c b) a)) b)
(-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) b)
(-.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) b))
(fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) b))
(-.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b))
(-.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b)
(fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))))))
(+.f64 b (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -4 (pow.f64 a 3)))))
(+.f64 b (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b)
(fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))))))
(+.f64 b (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -4 (pow.f64 a 3)))))
(+.f64 b (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) -1/2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) 1/8 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) -1/2) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4)) (sqrt.f64 -4)) -1/32)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(-.f64 (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -1/2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) 1/8) (/.f64 b (/.f64 -4 b))))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))
(-.f64 (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -1/2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) 1/8) (/.f64 b (/.f64 -4 b))))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 b -2 (.f64 (/.f64 2 b) (.f64 c a)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))))
(fma.f64 b -2 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))))
(+.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) (fma.f64 b -2 (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))
(+.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(+.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 b -2 (/.f64 (.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 -2 (.f64 c a)) b)
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 -2 b) (.f64 c a))
(.f64 (/.f64 c b) (.f64 a -2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))))
(.f64 -2 (.f64 a (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))))
(fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(fma.f64 -1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))))))
(+.f64 (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -4 (pow.f64 a 3)))) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) -10) (pow.f64 b 7)))
(+.f64 (fma.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))) (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3))) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) -10) (pow.f64 b 7)))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 b -2 (.f64 (/.f64 2 b) (.f64 c a)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))))
(fma.f64 b -2 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))))
(+.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) (fma.f64 b -2 (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))
(+.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(+.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 b -2 (/.f64 (.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 b -2 (.f64 (/.f64 2 b) (.f64 c a)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))))
(fma.f64 b -2 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))))
(+.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) (fma.f64 b -2 (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))
(+.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(+.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))) (fma.f64 b -2 (/.f64 (.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5))))

eval547.0ms (2.9%)

Compiler: Compiled 37505 to 21797 computations (41.9% saved)

prune178.0ms (1%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	938	10	948
Fresh	1	18	19
Picked	1	0	1
Done	2	2	4
Total	942	30	972

Error

0.9b

Counts

972 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
	38.5b	(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	40.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (.f64 (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) c)) 2))
	39.3b	(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	28.9b	(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
	22.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	32.2b	(if (>=.f64 b 0) (.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (sqrt.f64 (+.f64 a a)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	36.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a -4))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
✓	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
	34.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	29.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	46.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
	46.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
	22.6b	(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	30.5b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a (.f64 4 c)) a) (/.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) 2)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	36.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
	36.0b	(if (>=.f64 b 0) (.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (.f64 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 4 c)) (sqrt.f64 (.f64 a 2)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.4b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a 4) (.f64 a 2)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	22.5b	(if (>=.f64 b 0) (pow.f64 (/.f64 (+.f64 a a) (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a))) -1) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	43.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
✓	45.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
	25.0b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	22.4b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	30.4b	(if (>=.f64 b 0) (/.f64 (.f64 (.f64 4 c) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	32.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	32.0b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 4 c) (.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	40.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)) b)))

Compiler

Compiled 1052 to 719 computations (31.7% saved)

regimes635.0ms (3.4%)

Counts

57 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a -4))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 b b) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
(if (>=.f64 b 0) (pow.f64 (/.f64 (+.f64 a a) (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a))) -1) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a 4) (.f64 a 2)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (/.f64 (.f64 4 c) (.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a (.f64 4 c)) a) (/.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) 2)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (.f64 (.f64 4 c) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4))))))))
(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (sqrt.f64 (+.f64 a a)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (.f64 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (.f64 4 c)) (sqrt.f64 (.f64 a 2)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (.f64 (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) c)) 2))
(if (>=.f64 b 0) (/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

Calls

4 calls:

269.0ms	a
159.0ms	c
86.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
72.0ms	b

Results

Error	Segments	Branch
11.8b	10	`a`
6.2b	3	`b`
14.6b	6	`c`
6.2b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 2029 to 1186 computations (41.5% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.7216790299533203e+295	3.2979872439436386e+303
0.0ms	-0.0	2.111e-319
0.0ms	-6.374021697056401e-298	-6.2667839482781406e-301
0.0ms	-inf	-2.23491372338546e+304

Compiler

Compiled 47 to 31 computations (34% saved)

regimes537.0ms (2.9%)

Counts

52 → 3

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a -4))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 b b) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
(if (>=.f64 b 0) (pow.f64 (/.f64 (+.f64 a a) (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a))) -1) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a 4) (.f64 a 2)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (/.f64 (.f64 4 c) (.f64 a 2)) (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (/.f64 (.f64 a (.f64 4 c)) a) (/.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) 2)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (.f64 (.f64 4 c) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4))))))))
(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (sqrt.f64 (+.f64 a a)))) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Outputs

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))

(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 c 2) b) a) b))))

Calls

4 calls:

220.0ms	a
144.0ms	c
69.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
63.0ms	b

Results

Error	Segments	Branch
11.8b	10	`a`
6.2b	3	`b`
14.6b	6	`c`
6.2b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 1804 to 1050 computations (41.8% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	8.585095749172466e+122	2.1884195333527015e+125
35.0ms	-1.5061884147831686e+150	-2.9455726278329565e+149

Compiler

Compiled 558 to 360 computations (35.5% saved)

regimes156.0ms (0.8%)

Counts

22 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))

Calls

3 calls:

57.0ms	c
48.0ms	a
38.0ms	b

Results

Error	Segments	Branch
16.6b	5	`a`
6.2b	4	`b`
14.9b	6	`c`

Compiler

Compiled 599 to 338 computations (43.6% saved)

bsearch135.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
51.0ms	8.585095749172466e+122	2.1884195333527015e+125
48.0ms	5.8292037717889056e-304	1.1337212078277633e-302
36.0ms	-1.5061884147831686e+150	-2.9455726278329565e+149

Compiler

Compiled 887 to 591 computations (33.4% saved)

regimes171.0ms (0.9%)

Counts

21 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))

Calls

3 calls:

73.0ms	c
49.0ms	a
36.0ms	b

Results

Error	Segments	Branch
16.6b	5	`a`
6.2b	4	`b`
14.9b	6	`c`

Compiler

Compiled 570 to 323 computations (43.3% saved)

bsearch146.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
50.0ms	8.585095749172466e+122	2.1884195333527015e+125
60.0ms	-2.96271421717687e-306	5.8292037717889056e-304
35.0ms	-1.5061884147831686e+150	-2.9455726278329565e+149

Compiler

Compiled 964 to 646 computations (33% saved)

regimes335.0ms (1.8%)

Counts

17 → 3

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Outputs

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

(if (>=.f64 b 0) (/.f64 c b) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))

(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 c 2) b) a) b))))

Calls

3 calls:

25.0ms	c
24.0ms	b
9.0ms	a

Results

Error	Segments	Branch
22.4b	1	`a`
15.0b	3	`b`
21.2b	3	`c`

Compiler

Compiled 443 to 251 computations (43.3% saved)

bsearch43.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	-2.96271421717687e-306	5.8292037717889056e-304
35.0ms	-1.5061884147831686e+150	-2.9455726278329565e+149

Compiler

Compiled 106 to 70 computations (34% saved)

regimes59.0ms (0.3%)

Counts

16 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) c))))
(if (>=.f64 b 0) (.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) c))

Calls

3 calls:

32.0ms	b
9.0ms	c
9.0ms	a

Results

Error	Segments	Branch
22.4b	1	`a`
16.9b	4	`b`
22.4b	1	`c`

Compiler

Compiled 419 to 238 computations (43.2% saved)

bsearch257.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
79.0ms	-8.667745131060209e-189	-1.914281849411835e-208
81.0ms	-8.436048843454585e-125	-9.929562459413624e-132
96.0ms	-2.5532745921561705e-64	-1.1482734073777542e-66

Compiler

Compiled 1483 to 1029 computations (30.6% saved)

regimes22.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))

Outputs
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))

Calls

3 calls:

6.0ms	b
5.0ms	c
5.0ms	a

Results

Error	Segments	Branch
22.4b	1	`a`
22.4b	1	`b`
22.4b	1	`c`

Compiler

Compiled 226 to 123 computations (45.6% saved)

regimes18.0ms (0.1%)

Accuracy

Total -39.9b remaining (-176.5%)

Threshold costs -39.9b (-176.5%)

Counts

6 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 -1 b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) c))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

Calls

3 calls:

6.0ms	c
5.0ms	b
4.0ms	a

Results

Error	Segments	Branch
22.6b	1	`a`
22.6b	1	`b`
22.6b	1	`c`

Compiler

Compiled 133 to 74 computations (44.4% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
25×	`*-commutative_binary64`
22×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	1264
1	130	1230
2	169	1230
3	203	1230
4	223	1230
5	233	1230
6	236	1230

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 b a)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 19999999999999999626973554412460083155631121439641162660196967440893695766559001679768595453565709161474725394008045163145540587374089871820031057920336098997774414447880409368397792528912679316975775902969160009805517042200828928981967925226381671772486580520849455849141021060282761167690006528) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))))
(if (<=.f64 b -1506188414783168578753472356688591474043976567646093953147939236758956735406618386371015503344479479799025822253690068239375186272567584269497398198272) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b 859999999999999942666756998932761563045806798104905861702350237729544611171784014628568582491309356963782745228526737162240) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))))
(if (<=.f64 b -1506188414783168578753472356688591474043976567646093953147939236758956735406618386371015503344479479799025822253690068239375186272567584269497398198272) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b 1080944651146831/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 859999999999999942666756998932761563045806798104905861702350237729544611171784014628568582491309356963782745228526737162240) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a)) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))))))
(if (<=.f64 b -1506188414783168578753472356688591474043976567646093953147939236758956735406618386371015503344479479799025822253690068239375186272567584269497398198272) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b 3582559415229497/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 859999999999999942666756998932761563045806798104905861702350237729544611171784014628568582491309356963782745228526737162240) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a)) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)))))))
(if (<=.f64 b -1506188414783168578753472356688591474043976567646093953147939236758956735406618386371015503344479479799025822253690068239375186272567584269497398198272) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b 0) (if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))))
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Outputs
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(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 b a))

Compiler

Compiled 850 to 523 computations (38.5% saved)

soundness502.0ms (2.7%)

Algorithm

5×	egg-herbie

Rules

996×	`fma-def_binary64`
941×	`fma-def_binary64`
857×	`times-frac_binary64`
721×	`times-frac_binary64`
721×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	871
1	555	790
2	2299	692
0	133	2386
1	422	2292
2	1481	2157
0	133	2386
1	422	2292
2	1481	2157
0	133	2386
1	422	2292
2	1481	2157
0	11	536
1	19	482
2	33	482
3	47	482
4	61	482
5	89	482
6	141	482
7	206	482
8	357	482
9	648	482
10	1248	482
11	2193	482
12	3240	482
13	4065	482
14	4243	482
15	4277	482
16	4315	482
17	4365	482
18	4557	482
19	4565	482

Stop Event

1×	saturated
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 337 to 231 computations (31.5% saved)

end259.0ms (1.4%)

Compiler: Compiled 826 to 452 computations (45.3% saved)