Details

analyze1.1s (12.3%)

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)

sample1.7s (18.8%)

Results

1.5s	8256×	body	128	valid
187.0ms	1055×	body	128	invalid

Compiler

Compiled 84 to 54 computations (35.7% saved)

preprocess41.0ms (0.5%)

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)

simplify35.0ms (0.4%)

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))))

prune5.0ms (0.1%)

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

14.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	14.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	14.3b	(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))))

Status

Error

Program

▶

14.2b

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

14.3b

(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))))

Compiler

Compiled 231 to 147 computations (36.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.2b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	18.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series30.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite70.0ms (0.8%)

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 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 expm1.f64 (log1p.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(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 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)))))))

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
293×	`fma-def_binary64`
279×	`associate-r_binary64`
278×	`associate-/l*_binary64`
253×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2213
1	296	2123
2	973	2035

Stop Event

1×	node limit

Counts

263 → 226

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

prune541.0ms (6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	327	7	334
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	328	8	336

Error

3.4b

Counts

336 → 8

Alt Table

Status	Error	Program
	18.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	14.2b	(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))))))
	26.5b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.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)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	16.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	14.3b	(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))))
	16.3b	(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 2 (-.f64 (*.f64 a (/.f64 c b)) b))))
	18.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (.f64 a (/.f64 c b)) -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.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))))))))

Compiler

Compiled 16547 to 9786 computations (40.9% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	11.9b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	18.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	18.7b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series24.0ms (0.3%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	c	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
177×	`egg-rr`
149×	`add-sqr-sqrt_binary64`
143×	`add-log-exp_binary64`
143×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	308	29
2	3757	29

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
482×	`cancel-sign-sub-inv_binary64`
244×	`distribute-neg-frac_binary64`
177×	`sub-neg_binary64`
169×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2538
1	759	2480
2	2968	2444

Stop Event

1×	node limit

Counts

252 → 274

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(neg.f64 (+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))
(neg.f64 (+.f64 b (+.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (+.f64 b (+.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 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))

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

prune852.0ms (9.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	384	4	388
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	386	10	396

Error

1.9b

Counts

396 → 10

Alt Table

Status	Error	Program
	18.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	31.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
✓	14.2b	(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))))))
	30.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	32.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	14.3b	(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))))
	16.3b	(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 2 (-.f64 (*.f64 a (/.f64 c b)) b))))
	16.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	26.7b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.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))))))))

Compiler

Compiled 27435 to 17479 computations (36.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	1.2b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	1.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	18.3b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series15.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
1.0ms	a	@	inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
1.0ms	a	@	-inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
1.0ms	c	@	-inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
0.0ms	b	@	-inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`fma-def_binary64`
274×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
180×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	240	53
2	3262	53

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
297×	`fma-def_binary64`
279×	`associate-r_binary64`
278×	`associate-/l*_binary64`
257×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2198
1	297	2110
2	967	2022

Stop Event

1×	node limit

Counts

303 → 280

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

prune657.0ms (7.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	363	2	365
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	365	10	375

Error

1.9b

Counts

375 → 10

Alt Table

Status	Error	Program
	18.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	31.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	21.4b	(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 (.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) b))))
	16.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	30.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	32.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	16.3b	(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 2 (-.f64 (*.f64 a (/.f64 c b)) b))))
▶	14.3b	(if (>=.f64 b 0) (.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	26.7b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.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))))))))

Compiler

Compiled 16654 to 10341 computations (37.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	11.9b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
	18.3b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	18.7b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series10.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
1.0ms	c	@	inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
1.0ms	b	@	0	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
1.0ms	c	@	-inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
1.0ms	a	@	inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`prod-diff_binary64`
223×	`log1p-udef_binary64`
135×	`add-sqr-sqrt_binary64`
130×	`add-log-exp_binary64`
130×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	282	30
2	3325	30

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
253×	`distribute-neg-frac_binary64`
169×	`times-frac_binary64`
166×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2523
1	730	2467
2	2855	2431

Stop Event

1×	node limit

Counts

110 → 133

Calls

Call 1

Inputs
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))
(+.f64 b (+.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 b (+.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 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 c a) 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 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))

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

prune638.0ms (7.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	306	10	316

Error

1.9b

Counts

316 → 10

Alt Table

Status	Error	Program
	18.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	31.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	21.4b	(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 (.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) b))))
	16.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	30.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	32.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	16.3b	(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 2 (-.f64 (*.f64 a (/.f64 c b)) b))))
✓	14.3b	(if (>=.f64 b 0) (.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	26.7b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.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))))))))

Compiler

Compiled 15876 to 10090 computations (36.4% saved)

regimes2.3s (26%)

Accuracy

Total 3.4b remaining (53%)

Threshold costs 0b (0%)

Counts

237 → 4

Compiler

Compiled 8882 to 5531 computations (37.7% saved)

bsearch92.0ms (1%)

Algorithm

3×	binary-search

Calls

3 calls:

43.0ms	b
33.0ms	b
13.0ms	b

Steps

Iters	Point		Range
2.2e+86	∈ [	3.891508147536616e+81	,	2.2595851087380405e+86	]
-1e-152	∈ [	-5.2043962901879664e-148	,	-2.7783561501724916e-154	]
-1.65e+161	∈ [	-1.6132171038385395e+166	,	-1.6358426471886968e+161	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	231
1	89	227
2	121	227
3	150	227
4	167	227
5	175	227
6	177	227

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -164999999999999998735875865199263208343336673111748678142957328002360081189962269132391764799992091000740073460469422085826678600146001079291063293266017663320064) (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 2 (-.f64 (*.f64 a (/.f64 c b)) b)))) (if (<=.f64 b -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (if (>=.f64 b 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)) (*.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 220000000000000003218752950748472066813409457330224113041294373177355200135252607500288) (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 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) -2 b)) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))))))

Outputs

(if (<=.f64 b -164999999999999998735875865199263208343336673111748678142957328002360081189962269132391764799992091000740073460469422085826678600146001079291063293266017663320064) (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 2 (-.f64 (*.f64 a (/.f64 c b)) b)))) (if (<=.f64 b -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (if (>=.f64 b 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)) (*.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 220000000000000003218752950748472066813409457330224113041294373177355200135252607500288) (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 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) -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 -164999999999999998735875865199263208343336673111748678142957328002360081189962269132391764799992091000740073460469422085826678600146001079291063293266017663320064) (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 2 (-.f64 (*.f64 a (/.f64 c b)) b)))) (if (<=.f64 b -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (if (>=.f64 b 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)) (*.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 220000000000000003218752950748472066813409457330224113041294373177355200135252607500288) (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 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) -2 b)) (*.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 -164999999999999998735875865199263208343336673111748678142957328002360081189962269132391764799992091000740073460469422085826678600146001079291063293266017663320064) (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 2 (-.f64 (*.f64 a (/.f64 c b)) b)))) (if (<=.f64 b -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (if (>=.f64 b 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (<=.f64 b 220000000000000003218752950748472066813409457330224113041294373177355200135252607500288) (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 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) -2 b)) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))))))

end272.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 736 to 484 computations (34.2% saved)

Details

analyze1.1s (12.3%)

sample1.7s (18.8%)

preprocess41.0ms (0.5%)

simplify35.0ms (0.4%)

prune5.0ms (0.1%)

localize20.0ms (0.2%)

series30.0ms (0.3%)

rewrite70.0ms (0.8%)

simplify46.0ms (0.5%)

prune541.0ms (6%)

localize29.0ms (0.3%)

series24.0ms (0.3%)

rewrite108.0ms (1.2%)

simplify65.0ms (0.7%)

prune852.0ms (9.5%)

localize18.0ms (0.2%)

series15.0ms (0.2%)

rewrite80.0ms (0.9%)

simplify49.0ms (0.5%)

prune657.0ms (7.3%)

localize28.0ms (0.3%)

series10.0ms (0.1%)

rewrite51.0ms (0.6%)

simplify58.0ms (0.7%)

prune638.0ms (7.1%)

regimes2.3s (26%)

bsearch92.0ms (1%)

simplify10.0ms (0.1%)

end272.0ms (3%)

Profiling