Details

analyze496.0ms (2.7%)

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)

sample3.1s (16.7%)

Results

2.6s	8256×	body	256	valid
335.0ms	1053×	body	256	invalid
131.0ms	570×	body	256	infinite

Bogosity

preprocess114.0ms (0.6%)

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)

simplify118.0ms (0.6%)

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)))))))

eval3.0ms (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

18.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.2b	(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 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

▶

18.2b

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize122.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.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))))
✓	1.8b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series74.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
3.0ms	b	@	0	(sqrt.f64 (-.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	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)))

rewrite321.0ms (1.8%)

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)))))))))

simplify90.0ms (0.5%)

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))

eval820.0ms (4.5%)

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

prune299.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	717	12	729
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	718	12	730

Error

5.6b

Counts

730 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	19.3b	(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) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
▶	22.4b	(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) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	21.0b	(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))))))
▶	18.3b	(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))))))
▶	18.2b	(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))))))
	18.3b	(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 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
	20.2b	(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) (.f64 -1 b))))
	21.0b	(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))))))
	18.3b	(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 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 3)))))
	34.8b	(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))))))))
▶	20.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
▶	20.9b	(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))))))

Compiler

Compiled 1018 to 670 computations (34.2% saved)

localize130.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(-.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)))))))
✓	21.9b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	52.1b	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))

Compiler

Compiled 254 to 141 computations (44.5% saved)

series33.0ms (0.2%)

Counts

3 → 64

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	(-.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)))))))
4.0ms	c	@	inf	(-.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)))))))
3.0ms	c	@	0	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))
2.0ms	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))))))

rewrite187.0ms (1%)

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)))))))

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 4))))) 1/4) (pow.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) 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Outputs

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(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)))))) (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 fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))) 1/4)) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))) (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 fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (neg.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 fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 (neg.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 fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (neg.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 fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (neg.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 fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (neg.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 fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 (neg.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 fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (neg.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 fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 c (*.f64 a 4))))))) 1))))))

simplify76.0ms (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))))
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b
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b
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(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))))))

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.6b	(-.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))))
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series30.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
3.0ms	c	@	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)))))
2.0ms	b	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
1.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite72.0ms (0.4%)

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))))))

simplify78.0ms (0.4%)

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)))

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	4.0b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
✓	4.8b	(.f64 (/.f64 (.f64 c 2) b) a)
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 169 to 93 computations (45% saved)

series18.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
3.0ms	a	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
1.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
1.0ms	b	@	inf	(.f64 (/.f64 (.f64 c 2) b) a)
1.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))

rewrite73.0ms (0.4%)

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))))))

simplify71.0ms (0.4%)

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)))))

localize244.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))
	1.8b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	32.6b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

Compiler

Compiled 190 to 109 computations (42.6% saved)

series9.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`prod-diff_binary64`
570×	`log-prod_binary64`
272×	`fma-def_binary64`
219×	`pow1/3_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	279	27
2	3572	27

Stop Event

1×	node limit

Counts

2 → 91

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

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

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
654×	`associate-r_binary64`
621×	`associate-l_binary64`
613×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1359
1	387	1333
2	1346	1234
3	7769	1234

Stop Event

1×	node limit

Counts

131 → 138

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 (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 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 -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)))))

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

localize165.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	11.8b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	22.4b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 194 to 113 computations (41.8% saved)

series38.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
5.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite131.0ms (0.7%)

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	33
1	308	29
2	3774	29

Stop Event

1×	node limit

Counts

2 → 225

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))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1/4) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1))))))

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

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

587×	`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	461	4940
1	1653	4369
2	7564	4093

Stop Event

1×	node limit

Counts

297 → 350

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))))))
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(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.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))))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.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 b 2))) c))) (pow.f64 a 3))))))
(.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.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)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))

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

eval3.4s (18.6%)

Compiler: Compiled 98159 to 60244 computations (38.6% saved)

prune548.0ms (3%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1786	21	1807
Fresh	7	0	7
Picked	1	0	1
Done	2	2	4
Total	1796	23	1819

Error

3.2b

Counts

1819 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.8b	(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))
▶	44.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	21.7b	(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 (expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 c c) b) a))) b))))
✓	22.4b	(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) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	20.7b	(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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2)))))
	37.9b	(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)))))))
	25.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	20.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 a (/.f64 b (+.f64 c c))) b))))
	23.4b	(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)))))
	23.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
▶	22.8b	(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))))
✓	20.9b	(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))))))
	37.8b	(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))))
▶	19.4b	(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) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))))
	32.9b	(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))))))
	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 (/.f64 (+.f64 c c) (/.f64 b a)) b))))
	36.4b	(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 (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))))))
▶	20.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b))))
	27.6b	(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))))))
	31.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 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))))))
	32.1b	(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))))))
	23.8b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	41.8b	(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 1596 to 1057 computations (33.8% saved)

localize107.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.8b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
✓	17.0b	(+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))
	22.4b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
✓	22.6b	(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 202 to 127 computations (37.1% saved)

series9.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	b	@	inf	(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	c	@	-inf	(+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))
0.0ms	b	@	inf	(+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))
0.0ms	c	@	inf	(+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`prod-diff_binary64`
630×	`log-prod_binary64`
283×	`fma-def_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	289	28
2	3668	28

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
(+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))

Outputs

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-def_binary64`
717×	`associate-r_binary64`
653×	`associate-l_binary64`
645×	`associate-/l*_binary64`
589×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2016
1	567	1975
2	1977	1872

Stop Event

1×	node limit

Counts

161 → 182

Calls

Call 1

Inputs
(log.f64 (.f64 -4 (.f64 c a)))
(+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 1 b))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4)))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))))))
(*.f64 -2 (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(log.f64 (pow.f64 b 2))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(log.f64 (pow.f64 b 2))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(.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 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 -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)))))

Outputs
(log.f64 (.f64 -4 (.f64 c a)))
(log.f64 (.f64 a (.f64 -4 c)))
(+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))
(+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (.f64 b b) (*.f64 c a))))
(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 a (*.f64 -4 c))))
(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 -4 (*.f64 c a))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (.f64 b b) (.f64 c a)))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 a (.f64 -4 c)))))
(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (log.f64 (.f64 -4 (.f64 c a)))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (.f64 b b) (*.f64 c a))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 a (*.f64 -4 c))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (log.f64 (.f64 -4 (*.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b)))
(*.f64 -2 (neg.f64 (log.f64 b)))
(neg.f64 (*.f64 (log.f64 b) -2))
(log.f64 (*.f64 b b))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 1 b))))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (.f64 -2 (neg.f64 (log.f64 b))))
(fma.f64 -4 (.f64 (/.f64 c (.f64 b b)) a) (neg.f64 (*.f64 (log.f64 b) -2)))
(fma.f64 -4 (/.f64 a (/.f64 (.f64 b b) c)) (log.f64 (.f64 b b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4)))))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 -2 (neg.f64 (log.f64 b)) (.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a))))))
(fma.f64 -4 (.f64 (/.f64 c (.f64 b b)) a) (fma.f64 -8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 a a)) (neg.f64 (.f64 (log.f64 b) -2))))
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(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 c 4)) (fma.f64 -1 (log.f64 (/.f64 -1 a)) (.f64 -1/4 (/.f64 (.f64 b b) (.f64 c a)))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (-.f64 (.f64 (/.f64 -1/4 a) (/.f64 b (/.f64 c b))) (log.f64 (/.f64 -1 a))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (log.f64 (.f64 c 4)))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.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))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) 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))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.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 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 b)))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2) (-.f64 (.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 (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)))))))
(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) (fma.f64 -1 b (.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) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 b))))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 b 4) -1/8) (.f64 -4 (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2) (-.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) 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 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a (.f64 a (*.f64 c c))) (pow.f64 b 3))))
(.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c))))))
(+.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 (.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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 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 (.f64 (.f64 c c) (.f64 a a)) -2) 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 (.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 (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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 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 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 (.f64 c a) b) (.f64 b -2))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 b -2 (/.f64 c (/.f64 (/.f64 b a) 2)))
(+.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 (.f64 c a) b) (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 2 (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (*.f64 b -2)))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c)))))))
(+.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 (.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(+.f64 (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 4))) (.f64 2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) 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 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a (.f64 a (*.f64 c c))) (pow.f64 b 3))))
(.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c))))))
(+.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 (.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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.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)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (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)))) (fma.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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) 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 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a (.f64 a (*.f64 c c))) (pow.f64 b 3))))
(.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c))))))
(+.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 (.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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.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)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (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)))) (fma.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 a (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))

localize18.0ms (0.1%)

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))
✓	3.3b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
	4.0b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b)))
	4.8b	(.f64 (/.f64 (.f64 c 2) b) a)

Compiler

Compiled 130 to 78 computations (40% saved)

series15.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	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	b	@	inf	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
1.0ms	c	@	0	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))
1.0ms	a	@	0	(/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (*.f64 2 a))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`log-prod_binary64`
437×	`fma-def_binary64`
322×	`fma-neg_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	343	34
2	5207	34

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

Outputs

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

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-def_binary64`
939×	`fma-neg_binary64`
807×	`div-sub_binary64`
424×	`times-frac_binary64`
383×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	16	812
1	29	758
2	56	758
3	92	758
4	139	758
5	199	758
6	315	758
7	417	758
8	783	758
9	1764	731
10	4211	731
11	5278	731
12	6126	731
13	6273	731
14	6337	731
15	6337	731
16	7817	731

Stop Event

1×	node limit

Counts

224 → 163

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

localize40.0ms (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)
✓	1.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 113 to 67 computations (40.7% saved)

series94.0ms (0.5%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	a	@	0	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)
9.0ms	c	@	-inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
8.0ms	c	@	inf	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)
6.0ms	c	@	-inf	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)
6.0ms	a	@	inf	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) c)

rewrite82.0ms (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	63
1	283	63
2	3627	63

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

simplify106.0ms (0.6%)

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

178 → 204

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))
✓	4.8b	(*.f64 (/.f64 (+.f64 c c) b) a)
✓	18.0b	(cbrt.f64 (*.f64 (/.f64 (+.f64 c c) b) a))
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 200 to 83 computations (58.5% saved)

series20.0ms (0.1%)

Counts

3 → 47

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))
1.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))
1.0ms	a	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))
1.0ms	a	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`fma-def_binary64`
373×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
231×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	380	42
2	5452	42

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (/.f64 (+.f64 c c) b) a))
(*.f64 (/.f64 (+.f64 c c) b) a)
(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (/.f64 (+.f64 c c) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (cbrt.f64 b)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 1/6) (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 c (*.f64 2 a))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))) 1))))))

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

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Stop Event

1×

saturated

Counts

137 → 94

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 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

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

eval1.1s (6.2%)

Compiler: Compiled 62672 to 38893 computations (37.9% saved)

prune221.0ms (1.2%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1156	14	1170
Fresh	5	11	16
Picked	0	1	1
Done	4	2	6
Total	1165	28	1193

Error

0.2b

Counts

1193 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.8b	(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))
	23.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (/.f64 (.f64 a c) (.f64 b 1/2)) (+.f64 b b))))
	44.8b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 a (/.f64 (/.f64 b 2) c))))
	27.4b	(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 (pow.f64 (pow.f64 (.f64 (*.f64 2 (/.f64 c b)) a) 1/3) 3) b))))
▶	20.7b	(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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2)))))
	32.9b	(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))))))
	22.8b	(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 c c) (/.f64 b a)) b))))
	37.9b	(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)))))))
	25.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
▶	39.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))))) c))
	27.6b	(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))))))
	37.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b)) c)))
	31.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 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))))))
	24.5b	(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 (expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 c c) b) a))) b))))
	23.8b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
	34.5b	(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) (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2)))))
	36.3b	(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 c c) (.f64 2 (/.f64 c (fma.f64 (*.f64 2 (/.f64 c b)) a (+.f64 b b))))))
	23.4b	(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)))))
	24.2b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -2 b (/.f64 (.f64 a c) (.f64 b 1/2))) (/.f64 1/2 a))) 3) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	23.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	22.7b	(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))))
✓	20.9b	(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))))))
▶	44.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))
▶	37.8b	(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))))
	44.8b	(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))
✓	20.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b))))
	40.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))))) c))
▶	32.1b	(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))))))

Compiler

Compiled 1838 to 1255 computations (31.7% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	4.0b	(/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))
✓	5.3b	(/.f64 (*.f64 c a) (/.f64 b 2))
	21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 153 to 83 computations (45.8% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))
0.0ms	a	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))
0.0ms	b	@	inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))
0.0ms	c	@	-inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))
0.0ms	a	@	-inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
350×	`prod-diff_binary64`
340×	`pow2_binary64`
242×	`pow1/3_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	264	30
2	3684	30

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

simplify58.0ms (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

178 → 123

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))))
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(/.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)))))

localize15.0ms (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 (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)))))
	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 93 to 53 computations (43% saved)

series19.0ms (0.1%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	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)))))
2.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))

rewrite72.0ms (0.4%)

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

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

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)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c)
✓	0.2b	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
	1.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 132 to 80 computations (39.4% saved)

series28.0ms (0.2%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
3.0ms	c	@	-inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
3.0ms	c	@	inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c)
2.0ms	a	@	inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
2.0ms	a	@	-inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
680×	`prod-diff_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	280	36
2	3689	36

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c)

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
787×	`associate-/l*_binary64`
760×	`associate-/r*_binary64`
497×	`*-commutative_binary64`
290×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1305
1	521	999
2	2133	924

Stop Event

1×	node limit

Counts

109 → 128

Calls

Call 1

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

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))))) c)
✓	1.0b	(+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))))
✓	3.7b	(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
✓	17.6b	(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))

Compiler

Compiled 133 to 76 computations (42.9% saved)

series146.0ms (0.8%)

Counts

4 → 52

Calls

30 calls:

Time	Variable		Point	Expression
45.0ms	c	@	0	(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
18.0ms	a	@	-inf	(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
12.0ms	a	@	0	(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
12.0ms	c	@	-inf	(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
10.0ms	c	@	0	(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`log-prod_binary64`
650×	`prod-diff_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	329	55
2	4154	55

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))
(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
(+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))))
(.f64 (/.f64 2 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))))) c)

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

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
765×	`associate-/l*_binary64`
626×	`associate-/r*_binary64`
279×	`associate-*l/_binary64`
232×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	1676
1	634	1394
2	2452	1258
3	7809	1258

Stop Event

1×	node limit

Counts

181 → 183

Calls

Call 1

Inputs
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(.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)

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

eval681.0ms (3.7%)

Compiler: Compiled 35432 to 21920 computations (38.1% saved)

prune163.0ms (0.9%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	890	12	902
Fresh	7	13	20
Picked	1	0	1
Done	3	4	7
Total	901	29	930

Error

0.1b

Counts

930 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	44.8b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 a (/.f64 (/.f64 b 2) c))))
	44.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2) c))))
	27.4b	(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 (pow.f64 (pow.f64 (.f64 (*.f64 2 (/.f64 c b)) a) 1/3) 3) b))))
✓	20.7b	(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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2)))))
	32.1b	(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)))
	39.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) c))
	33.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))))
	33.8b	(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))))))
	32.1b	(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)))))))
	23.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2)))))
	33.8b	(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 1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	39.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 c)) (sqrt.f64 a))))) c))
	31.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 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))))))
	44.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))) c))
	44.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 2 (/.f64 b a)))))
	24.5b	(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 (expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 c c) b) a))) b))))
	36.3b	(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 c c) (.f64 2 (/.f64 c (fma.f64 (*.f64 2 (/.f64 c b)) a (+.f64 b b))))))
	23.4b	(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)))))
	24.2b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -2 b (/.f64 (.f64 a c) (.f64 b 1/2))) (/.f64 1/2 a))) 3) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b))))
	23.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	22.7b	(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))))
✓	20.9b	(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))))))
	32.9b	(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))))))
	44.8b	(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))
✓	20.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) b))))
	27.6b	(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 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))))
	23.8b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (*.f64 c 2) b) a) b))))
✓	44.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))

Compiler

Compiled 976 to 672 computations (31.1% saved)

regimes559.0ms (3.1%)

Counts

60 → 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 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 2 (/.f64 1 (/.f64 2 (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))) 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 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2) 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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 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 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 (.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) (fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2)))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (/.f64 (.f64 a c) (.f64 b 1/2)) (+.f64 b 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 a (/.f64 (/.f64 b 2) c))))
(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 c c) (/.f64 b a)) 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) (-.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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2)))))
(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 a (/.f64 b (+.f64 c 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) (-.f64 (/.f64 (+.f64 c c) (/.f64 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 b a))
(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 -1 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) (-.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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (.f64 (+.f64 c c) (.f64 2 (/.f64 c (fma.f64 (*.f64 2 (/.f64 c b)) a (+.f64 b b))))))
(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) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (-.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 (.f64 b b) (.f64 c (.f64 a -4))) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(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) b) (.f64 2 a)) (/.f64 2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b)) 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) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.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 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
(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 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 c c) 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) (-.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 c c) 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) (-.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 c c) b) a)) 3) 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) (-.f64 (pow.f64 (pow.f64 (.f64 (*.f64 2 (/.f64 c b)) a) 1/3) 3) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 c)) (sqrt.f64 a))))) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))))) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))))) c))
(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -2 b (/.f64 (.f64 a c) (.f64 b 1/2))) (/.f64 1/2 a))) 3) (/.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 a) 1/4) (pow.f64 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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
(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) (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2)))))
(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) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))))
(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) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2)))))
(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) (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) 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) (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) (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) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 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 (-.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 (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 (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 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 3)))))
(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 (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))))))

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) (.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 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:

162.0ms	a
158.0ms	c
98.0ms	(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))))))
88.0ms	b

Results

Error	Segments	Branch
14.4b	5	`a`
6.3b	3	`b`
12.7b	6	`c`
6.3b	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 2042 to 1164 computations (43% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.100538075534632e+233	7.35131941660497e+271
0.0ms	-0.0	3.973329476186173e-287
0.0ms	-6.866621433620215e-241	-1.7460215554943925e-262
0.0ms	-inf	-2.4597606511882575e+299

Compiler

Compiled 47 to 31 computations (34% saved)

regimes191.0ms (1%)

Counts

26 → 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 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 2 (/.f64 1 (/.f64 2 (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))) 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 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2) 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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 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 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 (.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) (fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2)))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (/.f64 (.f64 a c) (.f64 b 1/2)) (+.f64 b 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 a (/.f64 (/.f64 b 2) c))))
(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 c c) (/.f64 b a)) 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) (-.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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2)))))
(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 a (/.f64 b (+.f64 c 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) (-.f64 (/.f64 (+.f64 c c) (/.f64 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 b a))
(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 -1 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) (-.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 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 (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 b a))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 a (/.f64 (/.f64 b 2) c))))

Calls

3 calls:

91.0ms	c
47.0ms	b
35.0ms	a

Results

Error	Segments	Branch
17.2b	2	`a`
6.3b	4	`b`
14.0b	7	`c`

Compiler

Compiled 754 to 429 computations (43.1% saved)

bsearch176.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
77.0ms	2.5894153373134446e+88	5.549137405030007e+89
60.0ms	-8.072253714764282e-307	5.041071609671763e-297
38.0ms	-4.42582069710244e+96	-1.0213873293102718e+94

Compiler

Compiled 1144 to 785 computations (31.4% saved)

regimes146.0ms (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 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 2 (/.f64 1 (/.f64 2 (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))) 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 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2) 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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 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 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 (.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) (fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2)))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (/.f64 (.f64 a c) (.f64 b 1/2)) (+.f64 b 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 a (/.f64 (/.f64 b 2) c))))
(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 c c) (/.f64 b a)) 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) (-.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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2)))))
(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 a (/.f64 b (+.f64 c 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) (-.f64 (/.f64 (+.f64 c c) (/.f64 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 b a))

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

Calls

3 calls:

64.0ms	c
38.0ms	b
31.0ms	a

Results

Error	Segments	Branch
18.7b	2	`a`
8.4b	4	`b`
16.1b	7	`c`

Compiler

Compiled 622 to 354 computations (43.1% saved)

bsearch238.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
78.0ms	2.5894153373134446e+88	5.549137405030007e+89
60.0ms	-8.072253714764282e-307	5.041071609671763e-297
100.0ms	-1.3656917585814011e-76	-1.8890674296991304e-84

Compiler

Compiled 1565 to 1075 computations (31.3% saved)

regimes137.0ms (0.8%)

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

Calls

3 calls:

63.0ms	c
35.0ms	b
27.0ms	a

Results

Error	Segments	Branch
18.7b	2	`a`
8.4b	4	`b`
16.1b	7	`c`

Compiler

Compiled 598 to 342 computations (42.8% saved)

bsearch238.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
77.0ms	2.5894153373134446e+88	5.549137405030007e+89
60.0ms	-8.072253714764282e-307	5.041071609671763e-297
100.0ms	-1.3656917585814011e-76	-1.8890674296991304e-84

Compiler

Compiled 1752 to 1211 computations (30.9% saved)

regimes73.0ms (0.4%)

Counts

18 → 2

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

(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)))

Calls

3 calls:

23.0ms	c
23.0ms	a
16.0ms	b

Results

Error	Segments	Branch
21.6b	2	`a`
17.6b	2	`b`
21.5b	3	`c`

Compiler

Compiled 489 to 287 computations (41.3% saved)

bsearch100.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
99.0ms	-1.3656917585814011e-76	-1.8890674296991304e-84

Compiler

Compiled 578 to 391 computations (32.4% saved)

regimes23.0ms (0.1%)

Counts

10 → 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 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 2 (/.f64 1 (/.f64 2 (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))) 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 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2) 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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 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
6.0ms	a
6.0ms	c

Results

Error	Segments	Branch
22.7b	1	`a`
22.7b	1	`b`
22.7b	1	`c`

Compiler

Compiled 252 to 143 computations (43.3% saved)

regimes18.0ms (0.1%)

Counts

7 → 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 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 2 (/.f64 1 (/.f64 2 (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -4))) 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 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2) c))))

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

Calls

3 calls:

5.0ms	b
5.0ms	c
5.0ms	a

Results

Error	Segments	Branch
23.0b	1	`a`
23.0b	1	`b`
23.0b	1	`c`

Compiler

Compiled 160 to 94 computations (41.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.5b remaining (-1.2%)

Threshold costs -0.5b (-1.2%)

Counts

2 → 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 b) a))

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

Calls

3 calls:

3.0ms	c
3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
44.6b	1	`a`
44.6b	1	`b`
44.6b	1	`c`

Compiler

Compiled 46 to 28 computations (39.1% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
20×	`*-commutative_binary64`
18×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	1186
1	116	1158
2	151	1158
3	176	1158
4	191	1158
5	198	1158
6	200	1158

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)))))) -1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (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 (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)))))) 1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968) (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 -4425820697102439669351149831523513623924325668706267873950300700949026051471296926757717912059904) (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 3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (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 26000000000000000711681900643493760602089399073778253258897111130593260118331016356036608) (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 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 a (/.f64 (/.f64 b 2) c)))))))
(if (<=.f64 b -8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (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 3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (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 26000000000000000711681900643493760602089399073778253258897111130593260118331016356036608) (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 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (*.f64 2 c) (/.f64 a (/.f64 (/.f64 b 2) c)))))))
(if (<=.f64 b -8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (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 3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (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 26000000000000000711681900643493760602089399073778253258897111130593260118331016356036608) (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) (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))))) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a)) (.f64 2 a)) (/.f64 (*.f64 2 c) (/.f64 a (/.f64 (/.f64 b 2) c)))))))
(if (<=.f64 b -8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (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) b) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 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) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 b a))

Outputs
(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)))))) -1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (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 (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)))))) 1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968) (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))))))))
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(if (<=.f64 b -8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 c 2) (-.f64 (-.f64 (.f64 a (/.f64 (.f64 c 2) b)) b) b))) (if (<=.f64 b 3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (if (<=.f64 b 26000000000000000711681900643493760602089399073778253258897111130593260118331016356036608) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -4))))) (.f64 a 2)) (/.f64 (.f64 c 2) (fma.f64 b -2 (/.f64 (.f64 a c) (/.f64 b 2))))) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 a (/.f64 (.f64 c 2) b))) (.f64 a 2)) (/.f64 (*.f64 c 2) (/.f64 a (/.f64 (/.f64 b 2) c)))))))
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(if (<=.f64 b -8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 b) (-.f64 (.f64 a (/.f64 (.f64 c 2) b)) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(if (<=.f64 b -8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 c 2) (-.f64 (-.f64 (.f64 a (/.f64 (.f64 c 2) b)) b) b))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 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 c b) (/.f64 b a)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 b) (-.f64 (.f64 a (/.f64 (*.f64 c 2) b)) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 c 2) (-.f64 (-.f64 (.f64 a (/.f64 (*.f64 c 2) b)) b) b)))
(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 802 to 497 computations (38% saved)

soundness577.0ms (3.2%)

Algorithm

4×	egg-herbie

Rules

1032×	`fma-def_binary64`
939×	`fma-neg_binary64`
807×	`div-sub_binary64`
721×	`times-frac_binary64`
721×	`times-frac_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	228	2001
1	742	1531
2	3355	1446
3	7736	1444
0	133	2386
1	422	2292
2	1481	2157
0	133	2386
1	422	2292
2	1481	2157
0	16	812
1	29	758
2	56	758
3	92	758
4	139	758
5	199	758
6	315	758
7	417	758
8	783	758
9	1764	731
10	4211	731
11	5278	731
12	6126	731
13	6273	731
14	6337	731
15	6337	731
16	7817	731

Stop Event

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

Compiler

Compiled 314 to 226 computations (28% saved)

end230.0ms (1.3%)

Compiler: Compiled 781 to 446 computations (42.9% saved)

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426