Details

analyze1.4s (15.5%)

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
7.8%	85.8%	6.4%	7
10.1%	83.5%	6.4%	8
16.8%	74.5%	8.7%	9
29.1%	57.5%	13.4%	10
33.6%	51.4%	15%	11
39.2%	42.7%	18.1%	12
46%	33.4%	20.6%	13
49.5%	28.2%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (19.9%)

Results

1.6s	8256×	body	128	valid
203.0ms	1088×	body	128	invalid

preprocess37.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

676×	`fma-def_binary64`
491×	`associate-/l*_binary64`
481×	`div-sub_binary64`
383×	`fma-neg_binary64`
239×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	131	208
2	321	208
3	700	200
4	1318	200
5	2435	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 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
464×	`times-frac_binary64`
353×	`div-sub_binary64`
283×	`cancel-sign-sub-inv_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	99	52
3	240	50
4	439	50
5	780	50
6	1493	50
7	2856	50
8	4302	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune6.0ms (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

19.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
▶	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Status

Error

Program

19.5b

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

▶

19.5b

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

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize19.0ms (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))))
✓	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series24.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite74.0ms (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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -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) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 64 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 4 (.f64 a c)) (fma.f64 b b (.f64 4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.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))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.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)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) 1))))))
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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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)))))) (#(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))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

263 → 229

Calls

Call 1

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

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

prune531.0ms (5.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	330	7	337
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	331	8	339

Error

3.6b

Counts

339 → 8

Alt Table

Status	Error	Program
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (*.f64 2 a)))
	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 (/.f64 a b) c)) b)) (*.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
▶	18.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))

Compiler

Compiled 16841 to 10001 computations (40.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	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))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series10.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4911	22

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

Outputs

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

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

697×	`times-frac_binary64`
644×	`associate-l_binary64`
379×	`associate-/l*_binary64`
369×	`associate-/r*_binary64`
369×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	702
1	334	672
2	1195	609

Stop Event

1×	node limit

Counts

60 → 68

Calls

Call 1

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

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

prune335.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	229	8	237

Error

3.6b

Counts

237 → 8

Alt Table

Status	Error	Program
	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	30.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a))))
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
▶	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	20.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 -1 (/.f64 b a)))
	30.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (/.f64 a (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 1/2)) -1))
	26.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))

Compiler

Compiled 9379 to 5445 computations (41.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
✓	1.2b	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	1.6b	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	23.0b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series24.0ms (0.3%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
1.0ms	b	@	0	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
1.0ms	a	@	inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
1.0ms	c	@	inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
237×	`fma-neg_binary64`
156×	`add-sqr-sqrt_binary64`
148×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	310	67
2	4116	67

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

Outputs
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exp.f64 (log.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 -1/2 a))) 1))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
679×	`associate-/l*_binary64`
571×	`associate-/r*_binary64`
166×	`associate-/r/_binary64`
110×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2576
1	538	2498
2	1891	2310

Stop Event

1×	node limit

Counts

230 → 235

Calls

Call 1

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

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

prune438.0ms (4.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	278	3	281
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	282	7	289

Error

3.6b

Counts

289 → 7

Alt Table

Status	Error	Program
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
▶	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	34.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 b b) (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))) (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 -1/2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (.f64 -1 b)) (/.f64 -1/2 a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)))

Compiler

Compiled 13253 to 7773 computations (41.3% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	10.4b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	23.6b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series33.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

530×	`fma-def_binary64`
344×	`associate-l_binary64`
264×	`times-frac_binary64`
231×	`associate-/l*_binary64`
229×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	448	4857
1	1587	4343

Stop Event

1×	node limit

Counts

268 → 322

Calls

Call 1

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

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

prune926.0ms (10%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	421	9	430

Error

2.1b

Counts

430 → 9

Alt Table

Status	Error	Program
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
✓	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	34.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 b b) (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))) (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 -1/2 a)))
	21.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (.f64 -1 b)) (/.f64 -1/2 a)))
	34.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	19.6b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)))

Compiler

Compiled 31709 to 20675 computations (34.8% saved)

regimes2.6s (28.1%)

Accuracy

Total 3.6b remaining (53.4%)

Threshold costs 0b (0%)

Counts

201 → 5

Compiler

Compiled 7768 to 4468 computations (42.5% saved)

bsearch6.0ms (0.1%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Steps

Iters	Point		Range
5e+225	∈ [	3.0274664932930746e+225	,	9.985756264381242e+233	]
-0.0	∈ [	-0.0	,	8.873703e-317	]
-1e-177	∈ [	-1.24756435495728e-177	,	-3.9736849705802714e-181	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-5.4493689312286895e+280	]

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
17×	`+-commutative_binary64`
15×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	453
1	100	443
2	132	443
3	152	443
4	163	443
5	166	443

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (*.f64 -1 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) -4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1/2) (neg.f64 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (/.f64 -1/2 a)) 1)) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (*.f64 -1 (/.f64 b a)))))))

Outputs

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (*.f64 -1 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) -4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1/2) (neg.f64 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (/.f64 -1/2 a)) 1)) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (*.f64 -1 (/.f64 b a)))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (neg.f64 (/.f64 b a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) -4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1/2) (neg.f64 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (-.f64 (*.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (/.f64 -1/2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (neg.f64 (/.f64 b a)))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) -4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1/2) (neg.f64 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (-.f64 (*.f64 a (/.f64 c b)) b))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408) (if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (/.f64 -1/2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))))))

end339.0ms (3.7%)

Stop Event

1×

fuel

Compiler

Compiled 997 to 614 computations (38.4% saved)

Details

analyze1.4s (15.5%)

sample1.8s (19.9%)

preprocess37.0ms (0.4%)

simplify32.0ms (0.3%)

prune6.0ms (0.1%)

localize19.0ms (0.2%)

series24.0ms (0.3%)

rewrite74.0ms (0.8%)

simplify55.0ms (0.6%)

prune531.0ms (5.7%)

localize19.0ms (0.2%)

series10.0ms (0.1%)

rewrite60.0ms (0.6%)

simplify31.0ms (0.3%)

prune335.0ms (3.6%)

localize18.0ms (0.2%)

series24.0ms (0.3%)

rewrite76.0ms (0.8%)

simplify54.0ms (0.6%)

prune438.0ms (4.7%)

localize47.0ms (0.5%)

series33.0ms (0.4%)

rewrite108.0ms (1.2%)

simplify75.0ms (0.8%)

prune926.0ms (10%)

regimes2.6s (28.1%)

bsearch6.0ms (0.1%)

simplify11.0ms (0.1%)

end339.0ms (3.7%)

Profiling