Details

analyze1.1s (14.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	87.4%	6.4%	7
12.5%	81.1%	6.4%	8
18.3%	72.9%	8.7%	9
28.3%	58.3%	13.4%	10
33.7%	51.3%	15%	11
39.1%	42.9%	18.1%	12
45.7%	33.8%	20.6%	13
49.4%	28.3%	22.3%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (23%)

Results

1.6s	8256×	body	128	valid
196.0ms	1024×	body	128	invalid

preprocess47.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

623×	`fma-neg_binary64`
569×	`div-sub_binary64`
307×	`fma-def_binary64`
296×	`sub-neg_binary64`
276×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1724	200
5	3271	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 b b (.f64 a (.f64 c -4))))) (.f64 a 2)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 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 c (.f64 a -4) (.f64 b b))))) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -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 c 2) (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a)))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4))))) (.f64 b 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4)))) a)))
(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 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b)) (.f64 c (/.f64 2 (-.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 b b (.f64 a (.f64 c -4))))) (.f64 c 2)) (.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)) 2))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) c)) (.f64 2 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b))))
(if (>=.f64 b 0) (.f64 (/.f64 -1/2 c) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -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 b (.f64 a -4))))) (.f64 a 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) 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 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c))) c) 2)))
(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 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c))) c) 2)))
(if (>=.f64 c 0) (.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) a)) (.f64 -2 (/.f64 b (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))))

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
260×	`associate-/l*_binary64`
249×	`cancel-sign-sub-inv_binary64`
205×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	546	50
5	993	50
6	2057	50
7	3568	50
8	4834	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 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))

eval1.0ms (0%)

Compiler: Compiled 75 to 47 computations (37.3% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

22.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	22.9b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
▶	22.8b	(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 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

22.9b

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

▶

22.8b

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

Compiler

Compiled 156 to 100 computations (35.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series25.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite81.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`
153×	`add-sqr-sqrt_binary64`
148×	`*-un-lft-identity_binary64`
148×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4348	56

Stop Event

1×	node limit

Counts

4 → 167

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

852×	`times-frac_binary64`
596×	`fma-def_binary64`
443×	`associate-/l*_binary64`
431×	`associate-/r*_binary64`
266×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2281
1	396	2186
2	1373	2061

Stop Event

1×	node limit

Counts

263 → 229

Calls

Call 1

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

eval297.0ms (3.8%)

Compiler: Compiled 16191 to 9571 computations (40.9% saved)

prune1.5s (19.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	326	11	337
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	327	12	339

Error

6.7b

Counts

339 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	22.8b	(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 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))))))))
	40.8b	(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 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 4 (*.f64 a c))))))))
	25.3b	(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) (neg.f64 b))))
	22.8b	(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))))))
	22.9b	(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) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (*.f64 a c)))))))))
	22.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	25.0b	(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 2 (*.f64 (/.f64 a b) c)) b))))
	22.9b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	20.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) 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 1146 to 748 computations (34.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series17.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
167×	`*-un-lft-identity_binary64`
167×	`pow1_binary64`
162×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4934	22

Stop Event

1×	node limit

Counts

1 → 45

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

Outputs

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

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-def_binary64`
563×	`associate-/l*_binary64`
242×	`distribute-rgt-in_binary64`
230×	`distribute-lft-in_binary64`
155×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	824
1	540	758
2	2234	680

Stop Event

1×	node limit

Counts

65 → 76

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 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (.f64 1/2 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 4))) (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 4))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (.f64 1/2 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 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) (fma.f64 -2 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 -1/2 (*.f64 c c))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 (.f64 c c) (.f64 (*.f64 (/.f64 a (pow.f64 b 3)) -1/2) -2) (/.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 a (pow.f64 b 3)) (.f64 -1/2 (.f64 c c))) (.f64 (pow.f64 c 3) (-.f64 (fma.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) (/.f64 (.f64 a a) b)) (/.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 (+.f64 (.f64 (/.f64 a (pow.f64 b 5)) a) (fma.f64 (/.f64 -1/8 a) (/.f64 b (/.f64 a (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20))) (/.f64 (.f64 a (.f64 (/.f64 1/2 (pow.f64 b 3)) a)) (*.f64 b b)))) c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(.f64 2 (/.f64 c (sqrt.f64 (.f64 -4 (*.f64 a c)))))
(/.f64 2 (/.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) c))
(.f64 2 (/.f64 c (sqrt.f64 (.f64 (*.f64 a c) -4))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))))
(.f64 2 (+.f64 (/.f64 c (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 2) b)) (/.f64 c (sqrt.f64 (.f64 -4 (*.f64 a c))))))
(.f64 2 (+.f64 (/.f64 c (sqrt.f64 (.f64 (.f64 -4 a) c))) (/.f64 b (/.f64 (.f64 (*.f64 -4 a) c) c))))
(.f64 2 (fma.f64 (/.f64 c (.f64 (.f64 a c) -4)) b (/.f64 c (sqrt.f64 (.f64 (*.f64 a c) -4)))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (.f64 1/2 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))))))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 2) b)) (fma.f64 2 (/.f64 c (sqrt.f64 (.f64 -4 (.f64 a c)))) (.f64 -2 (.f64 (.f64 b b) (.f64 (/.f64 c (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 3)) -1/2)))))
(fma.f64 2 (+.f64 (/.f64 c (sqrt.f64 (.f64 (.f64 -4 a) c))) (/.f64 b (/.f64 (.f64 (.f64 -4 a) c) c))) (.f64 (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) 3)) (.f64 -2 (.f64 b b))))
(fma.f64 (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) 3)) (.f64 -2 (.f64 b b)) (.f64 2 (fma.f64 (/.f64 c (.f64 (.f64 a c) -4)) b (/.f64 c (sqrt.f64 (.f64 (.f64 a c) -4))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 4))) (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 4))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (.f64 1/2 (/.f64 c (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))))))))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 2) b)) (fma.f64 -2 (.f64 (pow.f64 b 3) (.f64 0 (/.f64 c (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 4)))) (fma.f64 2 (/.f64 c (sqrt.f64 (.f64 -4 (.f64 a c)))) (.f64 -2 (.f64 (.f64 b b) (.f64 (/.f64 c (pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 3)) -1/2))))))
(fma.f64 2 (/.f64 b (/.f64 (.f64 (.f64 -4 a) c) c)) (fma.f64 0 (pow.f64 b 3) (fma.f64 -2 (.f64 b (.f64 b (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) 3)))) (/.f64 2 (/.f64 (sqrt.f64 (.f64 (*.f64 -4 a) c)) c)))))
(+.f64 0 (fma.f64 (/.f64 (.f64 c -1/2) (pow.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) 3)) (.f64 -2 (.f64 b b)) (.f64 2 (fma.f64 (/.f64 c (.f64 (.f64 a c) -4)) b (/.f64 c (sqrt.f64 (.f64 (.f64 a c) -4)))))))
(*.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) (fma.f64 -2 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 -1/2 (*.f64 c c))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 (.f64 c c) (.f64 (*.f64 (/.f64 a (pow.f64 b 3)) -1/2) -2) (/.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 a (.f64 c c)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (fma.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 c (.f64 a a))) (.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -1/2) (neg.f64 c)))) (pow.f64 b 5)))) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 -2 (+.f64 (.f64 c (.f64 c (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 (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 a (pow.f64 c 3)) (.f64 c (.f64 (.f64 c c) (*.f64 a -1/2)))))) (pow.f64 b 5))) (-.f64 (/.f64 c b) (/.f64 b 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)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 c) b)) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (.f64 (/.f64 a (pow.f64 b 5)) a) (pow.f64 c 3))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) 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 c 4) (pow.f64 a 3)) -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 (pow.f64 b 7) (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) -5/2))))) (/.f64 c b)) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 -2 (.f64 (.f64 (/.f64 a (pow.f64 b 5)) a) (pow.f64 c 3)) (.f64 2 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 7) -5/2) (pow.f64 c 4))))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) 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 a (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3)) (.f64 a -2)) (/.f64 b a)))
(-.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 -1/2 a)) (/.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 -2 (/.f64 (.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 -2 (+.f64 (.f64 (.f64 a 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 (.f64 b b)) (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3)))))) (.f64 a (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3))))) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 -2 (.f64 a (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) c) b) (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3)) -1/2) (.f64 b b)))) a) (.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 b 3))))) (-.f64 (/.f64 c b) (/.f64 b a)))

eval172.0ms (2.2%)

Compiler: Compiled 9146 to 5954 computations (34.9% saved)

prune770.0ms (9.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	231	6	237
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	237	12	249

Error

6.6b

Counts

249 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	20.6b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (*.f64 a c)))))))))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 4 (*.f64 a c))))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (.f64 (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	22.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) c))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 c)) -1))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (*.f64 (/.f64 a b) c)) b))))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	22.9b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	23.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (*.f64 -1 (/.f64 c b)))
	22.8b	(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))))))

Compiler

Compiled 1020 to 682 computations (33.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	2.9b	(/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) c))) (*.f64 2 a))
✓	4.5b	(*.f64 (/.f64 a b) c)
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series17.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`
194×	`prod-diff_binary64`
193×	`log-pow_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	257	27
2	3385	27

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
461×	`fma-neg_binary64`
327×	`div-sub_binary64`
201×	`associate-/l*_binary64`
173×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	620
1	18	566
2	31	566
3	43	566
4	57	566
5	87	566
6	151	566
7	217	566
8	379	566
9	786	566
10	1727	566
11	2901	566
12	3643	566
13	3859	566
14	4074	566
15	4140	566
16	4180	566
17	4192	566
18	4192	566

Stop Event

1×

saturated

Counts

137 → 72

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.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)))

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

eval114.0ms (1.4%)

Compiler: Compiled 7388 to 4386 computations (40.6% saved)

prune422.0ms (5.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	173	12	185

Error

6.6b

Counts

185 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	20.6b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (*.f64 a c)))))))))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 4 (*.f64 a c))))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (.f64 (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	22.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
✓	20.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) c))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 c)) -1))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (*.f64 (/.f64 a b) c)) b))))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	22.9b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	23.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (*.f64 -1 (/.f64 c b)))
	22.8b	(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))))))

Compiler

Compiled 982 to 656 computations (33.2% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c)))))))
✓	24.5b	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))))))
✓	53.6b	(fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (*.f64 a c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series29.0ms (0.4%)

Counts

4 → 100

Calls

33 calls:

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

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

211×	`add-sqr-sqrt_binary64`
204×	`*-un-lft-identity_binary64`
204×	`pow1_binary64`
196×	`add-exp-log_binary64`
196×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	417	64

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 c (.f64 4 a)) 1) (.f64 (.f64 c (.f64 4 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))) 2) (cbrt.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))) (sqrt.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 c (.f64 4 a)) 3) (pow.f64 (.f64 c (.f64 4 a)) 3)) (+.f64 (.f64 16 (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 16 (pow.f64 (.f64 c a) 2)) (.f64 16 (pow.f64 (.f64 c a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 16 (pow.f64 (.f64 c a) 2)) (.f64 16 (pow.f64 (.f64 c a) 2))) (-.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (.f64 4 a) (.f64 c (.f64 4 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))) (cbrt.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 1/4) (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 3) (/.f64 0 0))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 2) (-.f64 (/.f64 0 0) (.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 2) (/.f64 0 0))) (sqrt.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c a)) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))) (/.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (-.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b) 2)) (cbrt.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)) (sqrt.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b b) (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))) (/.f64 1 (-.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (+.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))) (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))) (-.f64 (.f64 b b) (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2)) (fma.f64 b b (+.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))) (-.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2))) (neg.f64 (fma.f64 b b (+.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 b b) (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)))) (neg.f64 (-.f64 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 3/2) (pow.f64 b 3)) (+.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (-.f64 (.f64 b b) (.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) (.f64 b b)) (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 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(hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b b)) (cbrt.f64 b) (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0))) (cbrt.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 1/4) (pow.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (/.f64 0 0)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (hypot.f64 (/.f64 0 0) (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c a)) 2))) b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 1) (.f64 (.f64 c (.f64 4 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (.f64 c (.f64 4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b b (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 4 a)))) 2) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)) (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 c (.f64 4 a)) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 16 (pow.f64 (.f64 c a) 2)) (.f64 (.f64 b b) (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 16 (pow.f64 (.f64 c a) 2))) (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c a)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 4 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (.f64 c (.f64 4 a)))))))))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

879×	`times-frac_binary64`
772×	`fma-def_binary64`
455×	`distribute-rgt-in_binary64`
111×	`associate-r_binary64`
103×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2765
1	576	1832
2	2197	1693

Stop Event

1×	node limit

Counts

200 → 172

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

eval146.0ms (1.8%)

Compiler: Compiled 10144 to 6619 computations (34.7% saved)

prune468.0ms (5.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	196	13	209

Error

6.6b

Counts

209 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
✓	20.6b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (.f64 a c))) (fma.f64 (neg.f64 c) (.f64 4 a) (.f64 4 (*.f64 a c)))))))))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 4 (*.f64 a c))))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (.f64 (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	22.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
✓	20.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 2 (.f64 (/.f64 a b) c))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 2 c)) -1))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (.f64 (/.f64 a b) (.f64 c -4)) -1/2))))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 2 (*.f64 (/.f64 a b) c)) b))))
	23.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	22.9b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	23.0b	(if (>=.f64 b 0) (/.f64 (.f64 -2 b) (.f64 2 a)) (*.f64 -1 (/.f64 c b)))
	22.8b	(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))))))

Compiler

Compiled 540 to 363 computations (32.8% saved)

regimes157.0ms (2%)

Accuracy

Total -55.7b remaining (-717.6%)

Threshold costs -55.7b (-717.6%)

Counts

20 → 5

Calls

Call 1

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

Results

Time	Error	Segments	Branch
29.0ms	17.1b	3	`a`
31.0ms	7.9b	3	`b`
46.0ms	16.1b	5	`c`
32.0ms	7.8b	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 860 to 517 computations (39.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Point		Range
0.0ms	5e+295	∈ [	3.5874616775596853e+295	,	#hash((type . real) (value . +inf))	]
0.0ms	-0.0	∈ [	-0.0	,	3.558686671680179e-302	]
0.0ms	-5e-276	∈ [	-9.905037092927027e-276	,	-6.06101314311254e-309	]
0.0ms	-2e+255	∈ [	-2.448273990944069e+255	,	-4.0354503792649674e+246	]

Compiler

Compiled 47 to 31 computations (34% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
17×	`+-commutative_binary64`
12×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	574
1	98	560
2	126	560
3	145	560
4	155	560
5	159	560
6	160	560

Stop Event

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)))))) -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384) (if (>=.f64 b 0) (/.f64 (*.f64 -2 b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 4 (*.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 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)))))) -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (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 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 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 -2 b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2)))) (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)))))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (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 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))))))))) (if (>=.f64 b 0) (/.f64 (*.f64 -2 b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2))))))))

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)))))) -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384) (if (>=.f64 b 0) (/.f64 (*.f64 -2 b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 4 (*.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 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)))))) -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (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 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 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 -2 b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2)))) (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)))))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (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 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))))))))) (if (>=.f64 b 0) (/.f64 (*.f64 -2 b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2))))))))

(if (<=.f64 (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)))))) -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 4 (*.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 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 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (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 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 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 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2)))) (if (<=.f64 (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)))))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (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 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))))))))) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2))))))))

(if (<=.f64 (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) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 4 (*.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 a c))))) b))) (if (<=.f64 (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) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (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) (-.f64 (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c)))))) b))) (if (<=.f64 (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) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2)))) (if (<=.f64 (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) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (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) (-.f64 (sqrt.f64 (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (+.f64 (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c)))))) b))) (if (>=.f64 b 0) (/.f64 (*.f64 b -2) (*.f64 a 2)) (/.f64 (*.f64 c 2) (fma.f64 b -2 (*.f64 (*.f64 (/.f64 a b) (*.f64 c -4)) -1/2))))))))

end144.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 752 to 462 computations (38.6% saved)

Details

analyze1.1s (14.4%)

sample1.8s (23%)

preprocess47.0ms (0.6%)

simplify40.0ms (0.5%)

eval1.0ms (0%)

prune4.0ms (0%)

localize20.0ms (0.3%)

series25.0ms (0.3%)

rewrite81.0ms (1%)

simplify50.0ms (0.6%)

eval297.0ms (3.8%)

prune1.5s (19.2%)

localize20.0ms (0.2%)

series17.0ms (0.2%)

rewrite60.0ms (0.8%)

simplify35.0ms (0.4%)

eval172.0ms (2.2%)

prune770.0ms (9.7%)

localize25.0ms (0.3%)

series17.0ms (0.2%)

rewrite50.0ms (0.6%)

simplify85.0ms (1.1%)

eval114.0ms (1.4%)

prune422.0ms (5.3%)

localize30.0ms (0.4%)

series29.0ms (0.4%)

rewrite39.0ms (0.5%)

simplify56.0ms (0.7%)

eval146.0ms (1.8%)

prune468.0ms (5.9%)

regimes157.0ms (2%)

bsearch1.0ms (0%)

simplify20.0ms (0.2%)

end144.0ms (1.8%)

Profiling