Metrics for quadp (p42, positive)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze131.0ms (1.5%)

Memory

7.7MiB live, 162.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.8s (21.3%)

Memory

47.1MiB live, 1 316.4MiB allocated

Samples

781.0ms	5 499×	0	valid
279.0ms	1 226×	2	valid
214.0ms	1 365×	1	valid
79.0ms	1 036×	0	invalid
40.0ms	166×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 859.0ms

ival-mult: 253.0ms (29.4% of total)

ival-div: 166.0ms (19.3% of total)

adjust: 111.0ms (12.9% of total)

ival-sub: 104.0ms (12.1% of total)

ival-sqrt: 98.0ms (11.4% of total)

ival-add: 64.0ms (7.4% of total)

ival-neg: 43.0ms (5% of total)

exact: 9.0ms (1% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain176.0ms (2.1%)

Memory

-2.8MiB live, 213.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
112	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
66	1	(-3.823919422455363e+192 4.992493459774288e+225 -2.514314430328367e+256)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
16	0	-	1	(-5.068377452865521e-291 2.5456566839347695e+167 2.115641183659355e+137)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
4	0	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	0	-	0	-	`a`
0	0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	105	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	30
↳	`(*.f64 a c)`	overflow	29
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	105
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	67	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	14	0
↳	`(*.f64 b b)`	underflow	46
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	32
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	20
↳	`(*.f64 a c)`	underflow	32
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	7	0
↳	`(*.f64 b b)`	underflow	46
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	32
↳	`(*.f64 a c)`	underflow	32
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	7
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	4	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	30
↳	`(*.f64 a c)`	overflow	29
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	n/o	1	0
↳	`(*.f64 #s(literal 2 binary64) a)`	overflow	1

Confusion

	Predicted +	Predicted -
+	131	0
-	22	103

Precision

0.8562091503267973

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	22	0	103

Precision?

0.8562091503267973

Recall?

1.0

Freqs

test

number	freq
0	103
1	112
2	37
3	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

33.0ms	340×	0	valid
25.0ms	74×	2	valid
14.0ms	90×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-sqrt: 15.0ms (31.4% of total)

ival-mult: 13.0ms (27.2% of total)

ival-div: 5.0ms (10.5% of total)

adjust: 5.0ms (10.5% of total)

ival-sub: 4.0ms (8.4% of total)

ival-add: 4.0ms (8.4% of total)

ival-neg: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess153.0ms (1.8%)

Memory

-5.0MiB live, 103.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 552×	`div-sub`
1 398×	`sub-neg`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	161	144
2	421	144
3	1232	144
4	3210	144
5	6085	144
6	7810	144
0	14	17
0	23	17
1	41	16
2	74	16
3	156	16
4	232	16
5	370	16
6	654	16
7	1120	16
8	2222	16
9	2514	16
10	2639	16
11	2694	16
12	2695	16
13	2695	16
14	2701	16
0	2701	15

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))

(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune3.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify84.0ms (1%)

Memory

-9.6MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
cost-diff	128	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
422×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	41	68
2	74	68
3	156	68
4	232	68
5	370	68
6	654	68
7	1120	68
8	2222	68
9	2514	68
10	2639	68
11	2694	68
12	2695	68
13	2695	68
14	2701	68
0	2701	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(.f64 #s(literal 4 binary64) (.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(*.f64 b b)
(.f64 #s(literal 4 binary64) (.f64 a c))
(.f64 (.f64 c a) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize45.0ms (0.5%)

Memory

12.9MiB live, 51.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.8030662597684421	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	3.8015898246193123	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
accuracy	15.494662935150112	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	26.174366361376414	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

19.0ms	170×	0	valid
8.0ms	37×	2	valid
7.0ms	45×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.6% of total)

ival-div: 3.0ms (14.1% of total)

ival-sqrt: 3.0ms (14.1% of total)

ival-sub: 2.0ms (9.4% of total)

adjust: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% of total)

ival-neg: 1.0ms (4.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-6.1MiB live, 30.8MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
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#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) (patch (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify268.0ms (3.2%)

Memory

-11.2MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
2 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6070	3204
0	8235	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))

Outputs
(* -2 (/ (* a c) b))
(.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (.f64 a a) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) c)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(fma.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (.f64 a (.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (.f64 (fma.f64 (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)))) a)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) a) b) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite218.0ms (2.6%)

Memory

10.0MiB live, 160.3MiB allocated

Rules

4 852×	`lower-fma.f64`
4 852×	`lower-fma.f32`
3 908×	`lower-*.f32`
3 900×	`lower-*.f64`
2 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	77	49
2	534	48
3	6860	48
0	8153	44

Stop Event

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

Counts

5 → 437

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Outputs
(.f64 (/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(.f64 (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))))))
(.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64)))
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(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 0 binary64))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))

eval101.0ms (1.2%)

Memory: 1.4MiB live, 125.2MiB allocated
Compiler: Compiled 18 643 to 2 123 computations (88.6% saved)

prune18.0ms (0.2%)

Memory

16.6MiB live, 53.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	580	10	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	581	10	591

Accuracy

90.9%

Counts

591 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
▶	50.6%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
▶	8.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
▶	50.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
	50.5%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
	50.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
▶	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))

Compiler

Compiled 296 to 232 computations (21.6% saved)

simplify103.0ms (1.2%)

Memory

3.9MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
cost-diff	0	#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)))
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
cost-diff	384	(/.f64 (/.f64 c b) b)
cost-diff	640	(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
cost-diff	0	(neg.f64 b)
cost-diff	128	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
cost-diff	128	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))

Rules

3 630×	`lower-fma.f32`
3 624×	`lower-fma.f64`
2 896×	`lower-*.f32`
2 888×	`lower-*.f64`
1 938×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	340
0	70	333
1	120	329
2	213	325
3	400	321
4	669	321
5	1415	321
6	3920	321
7	6741	321
0	8343	320

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)))
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
(*.f64 c #s(literal -2 binary64))
c
#s(literal -2 binary64)
(/.f64 a b)
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
#s(literal 1/2 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
(*.f64 b b)
b

Outputs
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))) a)
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) b)
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 c b) b)
(/.f64 c (*.f64 b b))
(/.f64 c b)
c
b
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) b) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)))
(-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) b)
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)
(*.f64 c #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) c)
c
#s(literal -2 binary64)
(/.f64 a b)
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
#s(literal 1/2 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
(*.f64 b b)
b

localize152.0ms (1.8%)

Memory

9.8MiB live, 207.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.8030662597684421	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	3.532993183217854	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
accuracy	15.494662935150112	(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
accuracy	26.174366361376414	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	1.4397982596459151	(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
accuracy	3.8015898246193123	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
accuracy	15.494662935150112	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)))
accuracy	41.47466246359622	#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))
accuracy	0	(neg.f64 b)
accuracy	0.15234375	(/.f64 (/.f64 c b) b)
accuracy	5.15071307720852	(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
accuracy	41.30650763396039	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
accuracy	0	(/.f64 (neg.f64 b) a)
accuracy	0	(neg.f64 b)
accuracy	41.21892359987292	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.8030662597684421	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	3.8015898246193123	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
accuracy	15.494662935150112	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
accuracy	25.527643196721346	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))

Samples

66.0ms	170×	0	valid
29.0ms	36×	2	valid
24.0ms	45×	1	valid
4.0ms	5×	3	valid

Compiler

Compiled 311 to 41 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 25.0ms (35.5% of total)

ival-mult: 14.0ms (19.9% of total)

ival-add: 8.0ms (11.4% of total)

ival-sqrt: 8.0ms (11.4% of total)

ival-sub: 7.0ms (9.9% of total)

adjust: 6.0ms (8.5% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series73.0ms (0.9%)

Memory

5.7MiB live, 85.1MiB allocated

Counts

20 → 660

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 b) a) (patch (/.f64 (neg.f64 b) a) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
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#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (taylor inf c) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) (taylor inf c) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (taylor inf c) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) (taylor inf c) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf c) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	c	@	inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (/ c b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (+ (* (* c -2) (/ a b)) b))
9.0ms	a	@	-inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (/ c b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (+ (* (* c -2) (/ a b)) b))
4.0ms	c	@	-inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (/ c b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (+ (* (* c -2) (/ a b)) b))
4.0ms	a	@	0	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (/ c b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (+ (* (* c -2) (/ a b)) b))
4.0ms	b	@	0	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (/ c b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (+ (* (* c -2) (/ a b)) b))

simplify327.0ms (3.8%)

Memory

-52.7MiB live, 175.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 018×	`lower-fma.f64`
8 018×	`lower-fma.f32`
6 838×	`lower-*.f64`
6 838×	`lower-*.f32`
5 660×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1047	14512
1	3466	14183
0	8105	13583

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 647

Calls

Call 1

Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
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(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
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(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
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(/ c (pow b 2))
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(/ c (pow b 2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
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(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))

Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
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(fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64) (.f64 (/.f64 b c) #s(literal -1/4 binary64)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) c) (/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) c) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal 1/16 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal -1/16 binary64)))) a) #s(literal -1 binary64) (.f64 (.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a)) b) (neg.f64 a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/256 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (pow.f64 a #s(literal 3 binary64))))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 b b) (neg.f64 a))))
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)))

rewrite247.0ms (2.9%)

Memory

28.0MiB live, 254.0MiB allocated

Rules

4 618×	`lower-fma.f32`
4 612×	`lower-fma.f64`
4 540×	`lower-*.f32`
4 532×	`lower-*.f64`
4 510×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	267
0	70	274
1	287	243
2	2241	235
0	8955	235

Stop Event

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

Counts

20 → 1 230

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(neg.f64 b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
(/.f64 (/.f64 c b) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 c b)
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)

Outputs
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (fma.f64 b b (neg.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal -1 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)))
(pow.f64 (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (neg.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)))
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(/.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 b (.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64))) (.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))) (.f64 (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b)) (.f64 b b))) (.f64 (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))
(/.f64 (-.f64 (.f64 b b) (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 b (.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b))) (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 a b) (.f64 (.f64 #s(literal -2 binary64) c) b))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64))) (.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 a b) (.f64 (.f64 #s(literal -2 binary64) c) b)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64))) (.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b)) (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 b) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64))) (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b)) (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64))) (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) c) a) (pow.f64 b #s(literal -1 binary64)) b)
(fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c b)
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64)))
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(fma.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)) b)
(fma.f64 a (.f64 (pow.f64 b #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) c)) b)
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b)
(fma.f64 #s(literal 1 binary64) b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))
(+.f64 (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64)) b)
(+.f64 b (.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64)))

eval519.0ms (6.1%)

Memory: 20.4MiB live, 409.5MiB allocated
Compiler: Compiled 55 798 to 6 369 computations (88.6% saved)

prune208.0ms (2.4%)

Memory

-29.0MiB live, 169.7MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	2 116	23	2 139
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	2 123	26	2 149

Accuracy

90.9%

Counts

2 149 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
	8.1%	(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
	30.5%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
	3.5%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))) (.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
	30.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
	33.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
▶	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
	35.6%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
	50.5%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
▶	50.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
	35.7%	#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
	2.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
▶	34.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
▶	2.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
	19.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 c b))) #s(literal -1 binary64))) b (/.f64 (neg.f64 b) a)))
	27.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
	15.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) a))
	28.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	18.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
▶	7.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))

Compiler

Compiled 703 to 570 computations (18.9% saved)

simplify98.0ms (1.2%)

Memory

17.5MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
cost-diff	704	(/.f64 (pow.f64 b #s(literal -1 binary64)) b)
cost-diff	6400	(fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))
cost-diff	0	(/.f64 a b)
cost-diff	0	#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
cost-diff	192	(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) b)
cost-diff	0	(neg.f64 c)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
cost-diff	320	(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))

Rules

3 204×	`lower-fma.f32`
3 196×	`lower-fma.f64`
2 610×	`lower-*.f32`
2 600×	`lower-*.f64`
2 326×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	57	307
0	84	299
1	144	295
2	258	271
3	459	271
4	1276	269
5	4739	266
6	7468	266
0	8054	266

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(*.f64 a c)
c
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))
(neg.f64 c)
c
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(/.f64 b a)
a
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
#s(literal 1/2 binary64)
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
(/.f64 a b)
a
b
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(/.f64 b c)
c
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
(fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))
(*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b))
c
(/.f64 (pow.f64 b #s(literal -1 binary64)) b)
(pow.f64 b #s(literal -1 binary64))
b
#s(literal -1 binary64)
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(*.f64 a c)
(*.f64 c a)
c
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 b a) (/.f64 c b)))
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))
(+.f64 (/.f64 b a) (/.f64 c b))
(neg.f64 c)
c
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(/.f64 b a)
a
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))))
#s(literal 1/2 binary64)
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 a b)
a
b
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 b c))
(/.f64 b c)
c
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b))
(*.f64 (pow.f64 b #s(literal -2 binary64)) c)
c
(/.f64 (pow.f64 b #s(literal -1 binary64)) b)
(pow.f64 b #s(literal -2 binary64))
(pow.f64 b #s(literal -1 binary64))
b
#s(literal -1 binary64)
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a

localize196.0ms (2.3%)

Memory

18.3MiB live, 253.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(/.f64 (pow.f64 b #s(literal -1 binary64)) b)
accuracy	5.15071307720852	(fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))
accuracy	10.428282302767514	(*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b))
accuracy	41.30650763396039	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
accuracy	0.00390625	(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
accuracy	0.234375	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
accuracy	41.02456310715299	#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) b)
accuracy	0	(neg.f64 c)
accuracy	0.0703125	(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))
accuracy	62.52872267960194	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
accuracy	0	(/.f64 c b)
accuracy	41.30650763396039	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
accuracy	42.72123193166429	#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
accuracy	0.8030662597684421	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
accuracy	3.6616801462287434	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
accuracy	15.494662935150112	(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
accuracy	26.174366361376414	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))

Samples

65.0ms	170×	0	valid
49.0ms	36×	2	valid
44.0ms	45×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 249 to 53 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 63.0ms (48.6% of total)

ival-mult: 26.0ms (20.1% of total)

ival-add: 10.0ms (7.7% of total)

adjust: 9.0ms (6.9% of total)

ival-sqrt: 8.0ms (6.2% of total)

ival-sub: 5.0ms (3.9% of total)

ival-pow: 4.0ms (3.1% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series88.0ms (1%)

Memory

-45.3MiB live, 50.2MiB allocated

Counts

21 → 612

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) (patch (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) b) (patch (/.f64 #s(literal -1 binary64) b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64)))) (patch #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 b #s(literal -1 binary64)) b) (patch (/.f64 (pow.f64 b #s(literal -1 binary64)) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())
#s(alt (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) (patch (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b c) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 b c) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) (patch (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) (patch (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) (patch (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) (patch (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64)))) (patch #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64)))) (patch #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (.f64 (/.f64 b c) #s(literal -1/2 binary64)))) (patch #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf a) (#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	c	@	inf	((* (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg c) (/ -1 b) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ a b) (+ (* (* c (/ (pow b -1) b)) b) (/ (neg b) a)) (/ (pow b -1) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* c (/ (pow b -1) b)) (+ (* (* a c) -4) (* b b)) (* (/ b c) -1/2))
6.0ms	c	@	0	((* (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg c) (/ -1 b) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ a b) (+ (* (* c (/ (pow b -1) b)) b) (/ (neg b) a)) (/ (pow b -1) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* c (/ (pow b -1) b)) (+ (* (* a c) -4) (* b b)) (* (/ b c) -1/2))
3.0ms	b	@	0	((* (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg c) (/ -1 b) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ a b) (+ (* (* c (/ (pow b -1) b)) b) (/ (neg b) a)) (/ (pow b -1) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* c (/ (pow b -1) b)) (+ (* (* a c) -4) (* b b)) (* (/ b c) -1/2))
2.0ms	b	@	-inf	((* (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg c) (/ -1 b) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ a b) (+ (* (* c (/ (pow b -1) b)) b) (/ (neg b) a)) (/ (pow b -1) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* c (/ (pow b -1) b)) (+ (* (* a c) -4) (* b b)) (* (/ b c) -1/2))
2.0ms	b	@	inf	((* (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg c) (/ -1 b) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ a b) (+ (* (* c (/ (pow b -1) b)) b) (/ (neg b) a)) (/ (pow b -1) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* c (/ (pow b -1) b)) (+ (* (* a c) -4) (* b b)) (* (/ b c) -1/2))

simplify200.0ms (2.4%)

Memory

18.5MiB live, 249.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 514×	`lower-fma.f64`
11 514×	`lower-fma.f32`
9 516×	`lower-*.f64`
9 516×	`lower-*.f32`
4 600×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	864	10057
1	2858	9781
0	8871	9418

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 609

Calls

Call 1

Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ b a)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)
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(* -2 (/ (* a c) b))
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b
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(/ c b)
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(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ b a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (/ a b))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (/ a b))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))

Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1 (/ c b))
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(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))

rewrite166.0ms (2%)

Memory

17.9MiB live, 257.0MiB allocated

Rules

3 566×	`lower-fma.f32`
3 558×	`lower-fma.f64`
3 368×	`lower-*.f32`
3 358×	`lower-*.f64`
3 262×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	266
0	84	246
1	343	236
2	2348	228
0	8945	228

Stop Event

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

Counts

21 → 920

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
(/.f64 c b)
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
(neg.f64 c)
(/.f64 #s(literal -1 binary64) b)
(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(/.f64 a b)
(fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a))
(/.f64 (pow.f64 b #s(literal -1 binary64)) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
(*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))

Outputs
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (/.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))))
(.f64 (/.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))))
(.f64 (/.f64 (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(.f64 (/.f64 (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)))))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 b b)) a) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) a) (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 b b))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 b b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (neg.f64 a)))
(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)))
(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a))
(pow.f64 (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (.f64 b (/.f64 #s(literal 1/2 binary64) a)) (.f64 b (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (.f64 (.f64 b (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (.f64 (.f64 b (/.f64 #s(literal 1/2 binary64) a)) (.f64 b (/.f64 #s(literal 1/2 binary64) a))) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) b) (.f64 (/.f64 #s(literal 1/2 binary64) a) b) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) b) (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) b) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) b) (.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b))) (.f64 #s(literal -2 binary64) a))
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eval280.0ms (3.3%)

Memory: 15.3MiB live, 245.5MiB allocated
Compiler: Compiled 32 329 to 3 870 computations (88% saved)

prune140.0ms (1.6%)

Memory

-9.6MiB live, 149.1MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 516	13	1 529
Fresh	5	15	20
Picked	2	3	5
Done	0	1	1
Total	1 523	32	1 555

Accuracy

90.9%

Counts

1 555 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
	8.1%	(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
	30.5%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
	3.5%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))) (.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
	30.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c)))))
✓	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))))
▶	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
	2.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
▶	50.5%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
✓	50.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
	31.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
	35.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
	35.7%	#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶	34.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
	1.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 b)) (/.f64 b a)))
	19.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 b c) b)) #s(literal -1 binary64))) b (/.f64 (neg.f64 b) a)))
	15.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) a))
	27.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
	28.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
▶	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	18.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	7.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
✓	7.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
	7.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
	2.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
▶	2.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

Compiler

Compiled 772 to 647 computations (16.2% saved)

simplify91.0ms (1.1%)

Memory

3.6MiB live, 85.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)
cost-diff	0	#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
cost-diff	192	(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b))
cost-diff	0	(*.f64 b b)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
cost-diff	1024	(fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))
cost-diff	0	(/.f64 b a)
cost-diff	0	(/.f64 c b)
cost-diff	0	(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
cost-diff	0	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
cost-diff	1024	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))

Rules

3 186×	`lower-fma.f32`
3 180×	`lower-fma.f64`
3 066×	`lower-*.f32`
3 054×	`lower-*.f64`
2 228×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	323
0	81	303
1	141	293
2	250	291
3	514	291
4	1358	291
5	4411	287
6	7132	287
0	8185	287

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(*.f64 a c)
a
c
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
(fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b)))
c
(/.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 binary64)
(*.f64 b b)
b
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
#s(literal 1/2 binary64)
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b))
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
b
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)

Outputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(*.f64 a c)
(*.f64 c a)
a
c
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b)))
(/.f64 (/.f64 c b) b)
c
(/.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 binary64)
(*.f64 b b)
b
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a b) c (neg.f64 b))) c)))
#s(literal 1/2 binary64)
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a b) c (neg.f64 b))) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a b) c (neg.f64 b))) c)
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a b) c (neg.f64 b)))
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
b
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)

localize155.0ms (1.8%)

Memory

4.6MiB live, 238.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.234375	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
accuracy	3.7626978919203955	(*.f64 a (/.f64 c b))
accuracy	3.815723794286518	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)
accuracy	41.02456310715299	#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))
accuracy	0.4622195389829622	(/.f64 #s(literal 1 binary64) (*.f64 b b))
accuracy	5.15071307720852	(fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))
accuracy	10.428282302767514	(.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b)))
accuracy	41.30650763396039	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
accuracy	0	(/.f64 c b)
accuracy	0	(/.f64 b a)
accuracy	0	(-.f64 (/.f64 c b) (/.f64 b a))
accuracy	41.30650763396039	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
accuracy	0	(/.f64 b a)
accuracy	20.716351345028514	#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))
accuracy	62.52872267960194	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
accuracy	0.3389371003202435	(/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy	0.8030662597684421	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
accuracy	18.761041821534672	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
accuracy	26.174366361376414	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))

Samples

65.0ms	170×	0	valid
31.0ms	43×	2	valid
20.0ms	38×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 265 to 51 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 27.0ms (29.3% of total)

ival-mult: 27.0ms (29.3% of total)

ival-add: 11.0ms (11.9% of total)

adjust: 9.0ms (9.8% of total)

ival-sqrt: 8.0ms (8.7% of total)

ival-sub: 6.0ms (6.5% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series69.0ms (0.8%)

Memory

-24.7MiB live, 70.2MiB allocated

Counts

20 → 636

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) (patch #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 b b)) (patch (/.f64 #s(literal 1 binary64) (.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())
#s(alt (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) (patch (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) #<representation binary64>) () ())
#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* 1/2 (/ b a))) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 c) (#s(alt #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) (patch #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) (patch #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) (patch #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) (patch #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 b) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())) ())
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#s(alt (/ c b) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* a c) b)) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ a b)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	c	@	-inf	((- (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (+ (* (* c (/ 1 (* b b))) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ 1 (* b b)) (* b b) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (* c (/ 1 (* b b))) (* a (/ c b)))
3.0ms	c	@	inf	((- (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (+ (* (* c (/ 1 (* b b))) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ 1 (* b b)) (* b b) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (* c (/ 1 (* b b))) (* a (/ c b)))
3.0ms	b	@	0	((- (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (+ (* (* c (/ 1 (* b b))) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ 1 (* b b)) (* b b) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (* c (/ 1 (* b b))) (* a (/ c b)))
3.0ms	b	@	inf	((- (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (+ (* (* c (/ 1 (* b b))) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ 1 (* b b)) (* b b) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (* c (/ 1 (* b b))) (* a (/ c b)))
3.0ms	b	@	-inf	((- (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) (* 2 a)) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (+ (* (* c (/ 1 (* b b))) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ 1 (* b b)) (* b b) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (* c (/ 1 (* b b))) (* a (/ c b)))

simplify213.0ms (2.5%)

Memory

8.0MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 480×	`lower-fma.f64`
12 480×	`lower-fma.f32`
9 742×	`lower-*.f64`
9 742×	`lower-*.f32`
4 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	881	10613
1	2930	10275
0	9107	9923

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

Calls

Call 1

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

Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* 1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(fma.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c (*.f64 (/.f64 b a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c (*.f64 (/.f64 b a) #s(literal 1/2 binary64)))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/ b a)
(/.f64 b a)
(+ (/ b a) (/ c b))
(+.f64 (/.f64 b a) (/.f64 c b))
(+ (/ b a) (/ c b))
(+.f64 (/.f64 b a) (/.f64 c b))
(+ (/ b a) (/ c b))
(+.f64 (/.f64 b a) (/.f64 c b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1/2 (/ b c))
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/.f64 (fma.f64 (fma.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 (.f64 a a) (pow.f64 b #s(literal 3 binary64))) (.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (.f64 #s(literal -1/2 binary64) b)) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (-.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) b)) a) #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) a)) (.f64 b b))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ b c))
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b a) c))) c)
(* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b a) c)))) c)
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (* 1/2 (/ b (* a c)))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b a) c))))) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) c)
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))))) c)
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/1024 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(/ c b)
(/.f64 c b)
(+ (/ b a) (/ c b))
(+.f64 (/.f64 b a) (/.f64 c b))
(+ (/ b a) (/ c b))
(+.f64 (/.f64 b a) (/.f64 c b))
(+ (/ b a) (/ c b))
(+.f64 (/.f64 b a) (/.f64 c b))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(* 1/2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal 1/2 binary64))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal 1/2 binary64))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal 1/2 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (/.f64 b c) #s(literal -1/4 binary64)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) #s(literal 1/16 binary64)) (fma.f64 a (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 c c)) #s(literal -1/32 binary64)) (.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))))) a) #s(literal -1 binary64) (.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a)))
(* 1/2 (/ a b))
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))

rewrite174.0ms (2%)

Memory

10.8MiB live, 165.8MiB allocated

Rules

4 624×	`lower-fma.f32`
4 618×	`lower-fma.f64`
4 424×	`lower-/.f32`
4 408×	`lower-/.f64`
3 528×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	275
0	81	249
1	349	241
2	2823	241
0	9599	241

Stop Event

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

Counts

20 → 813

Calls

Call 1

Inputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 b b)
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 a (/.f64 c b))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (/.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 #s(literal -2 binary64) a) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) a))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
(pow.f64 (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (/.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 #s(literal -2 binary64) a) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 b (.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 b (.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 #s(literal -2 binary64) a) b)) (.f64 #s(literal 2 binary64) a))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (/.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 #s(literal -2 binary64) a) b)))) (neg.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))) (.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)) a) (.f64 a (.f64 b #s(literal 1/2 binary64))))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) a)) (.f64 a (neg.f64 b)))) (neg.f64 (.f64 a (.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 a #s(literal 1 binary64)))) (neg.f64 (.f64 a (.f64 #s(literal 2 binary64) (/.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) a)) (.f64 b a))) (neg.f64 (.f64 a (.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) a) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 b #s(literal 1/2 binary64))))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) a) a)))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)) (.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 b)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 (.f64 #s(literal -2 binary64) a) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 #s(literal -2 binary64) a) b))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 b #s(literal 1/2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) a)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) a)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (neg.f64 b)))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
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(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (.f64 (.f64 #s(literal 2 binary64) a) (neg.f64 b)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a))))
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(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1 binary64)) (.f64 b #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) b) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1 binary64)) b) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 b #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 #s(literal -2 binary64) a) b)) (.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
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(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))))
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(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c))))
(pow.f64 (/.f64 (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (/ a (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c))
(.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 c (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)))
(.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))) (pow.f64 (neg.f64 c) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) (pow.f64 c #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c))
(pow.f64 (/.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal -1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (.f64 #s(literal 1/2 binary64) b)) c)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64))))) c)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal -1 binary64)) c)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 c #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) #s(literal 1 binary64)) c)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b)))) (neg.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (.f64 c (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (.f64 #s(literal 1/2 binary64) b)) c))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64))))) c))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (.f64 c (fma.f64 (pow.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) (neg.f64 c))
(/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) c))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) (neg.f64 c)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (.f64 #s(literal 1/2 binary64) b)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (.f64 #s(literal 1/2 binary64) b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) (neg.f64 c)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (.f64 #s(literal 1/2 binary64) b))) c) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b)) a (.f64 #s(literal 1/2 binary64) b))) c))
(exp.f64 (.f64 (log.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -2 binary64)) c)
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal -2 binary64)) c))
(*.f64 (/.f64 c b) (pow.f64 b #s(literal -1 binary64)))
(*.f64 c (pow.f64 b #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b c) (neg.f64 b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 (/.f64 c b) (neg.f64 b))
(/.f64 (/.f64 c b) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b))
(/.f64 c (*.f64 b b))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) b) b) (*.f64 (pow.f64 b #s(literal -2 binary64)) c))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) b)) (/.f64 c (.f64 (neg.f64 b) b)))
(-.f64 (/.f64 #s(literal 0 binary64) b) (*.f64 (pow.f64 b #s(literal -2 binary64)) c))
(*.f64 (/.f64 c b) a)
(.f64 (.f64 c a) (pow.f64 b #s(literal -1 binary64)))
(.f64 c (.f64 (pow.f64 b #s(literal -1 binary64)) a))
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(pow.f64 (/.f64 b (*.f64 c a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 a (neg.f64 c))) b)
(/.f64 (neg.f64 (neg.f64 (*.f64 c a))) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 b c)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) b)
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 b c)))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 b c))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 b c))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c a))))
(/.f64 (*.f64 c a) b)
(/.f64 a (/.f64 b c))

eval240.0ms (2.8%)

Memory: 25.5MiB live, 291.8MiB allocated
Compiler: Compiled 33 727 to 3 941 computations (88.3% saved)

prune74.0ms (0.9%)

Memory

-24.7MiB live, 138.7MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1 592	8	1 600
Fresh	2	21	23
Picked	2	3	5
Done	0	4	4
Total	1 596	36	1 632

Accuracy

90.9%

Counts

1 632 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
	36.1%	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)) a) (.f64 a (.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
	8.1%	(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
	30.5%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
	3.5%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))) (.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
	30.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c)))))
✓	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
	35.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))))
	2.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(approx (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
	18.1%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (exp.f64 (.f64 (log.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)))) #s(literal -1 binary64)))))
	31.8%	(-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
	35.6%	(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
✓	50.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
	31.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
	35.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
	15.1%	(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64))) #s(literal -1 binary64)))
	35.7%	#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	34.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
	1.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 b)) (/.f64 b a)))
	19.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 b c) b)) #s(literal -1 binary64))) b (/.f64 (neg.f64 b) a)))
	27.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
	15.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) a))
	28.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
✓	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	18.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	7.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
✓	7.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
	7.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
	2.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
✓	2.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
	2.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))

Compiler

Compiled 1 213 to 654 computations (46.1% saved)

regimes78.0ms (0.9%)

Memory

10.1MiB live, 87.4MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(approx (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
(-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c)))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)) a) (.f64 a (.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (*.f64 c (/.f64 (pow.f64 b #s(literal -1 binary64)) b)) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)) (fma.f64 (.f64 (/.f64 a b) c) #s(literal -2 binary64) (neg.f64 b))))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 b c) b)) #s(literal -1 binary64))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 c b))) #s(literal -1 binary64))) b (/.f64 (neg.f64 b) a)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) b)) c)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (exp.f64 (.f64 (log.f64 (/.f64 c (fma.f64 (.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)))) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 b)) (/.f64 b a)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

4 calls:

24.0ms	a
21.0ms	c
16.0ms	b
14.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
53.6%	2	`a`
86.5%	3	`b`
53.9%	3	`c`
74.6%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes13.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(approx (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
(-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c)))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.5%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory

-19.2MiB live, 18.3MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(approx (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -1/2 binary64) b)) c)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (.f64 #s(literal -2 binary64) c) b)) b) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(approx (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b))) b (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.2%)

Memory

-16.6MiB live, 21.2MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 c)) a) (.f64 b b)) (*.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal 1 binary64)) a (.f64 b (neg.f64 b))) (*.f64 b a)))
(-.f64 (/.f64 #s(approx (sqrt (+ (* (* a c) -4) (* b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

2 calls:

11.0ms	b
6.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
51.5%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
68.8%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* a c) -4) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

-22.6MiB live, 15.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))

Calls

4 calls:

6.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
2.0ms	c
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
35.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
35.6%	1	`c`
35.6%	1	`a`
40.3%	2	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))

Calls

4 calls:

2.0ms	c
2.0ms	b
2.0ms	a
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
7.6%	1	`a`
7.6%	1	`c`
7.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
7.6%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

Calls

4 calls:

1.0ms	b
1.0ms	c
1.0ms	a
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
2.4%	1	`a`
2.4%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
2.4%	1	`c`
2.4%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch41.0ms (0.5%)

Memory

6.3MiB live, 51.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.8833640790676573e-116	2.6611750049636448e-114
18.0ms	-1.2519251758732868e+63	-2.0145420580112206e+59

Samples

19.0ms	215×	0	valid
3.0ms	40×	0	invalid
2.0ms	18×	1	valid
1.0ms	7×	2	valid

Compiler

Compiled 404 to 343 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (32.8% of total)

ival-sub: 4.0ms (21.9% of total)

ival-div: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

adjust: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

-35.4MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8833640790676573e-116	2.6611750049636448e-114
2.0ms	-1.2519251758732868e+63	-2.0145420580112206e+59

Compiler

Compiled 374 to 358 computations (4.3% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8833640790676573e-116	2.6611750049636448e-114
1.0ms	-1.2519251758732868e+63	-2.0145420580112206e+59

Compiler

Compiled 344 to 328 computations (4.7% saved)

bsearch24.0ms (0.3%)

Memory

32.2MiB live, 32.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8833640790676573e-116	2.6611750049636448e-114
20.0ms	-2.9272720034634455e-28	-6.559094610837285e-35

Samples

11.0ms	144×	0	valid
3.0ms	37×	0	invalid

Compiler

Compiled 351 to 365 computations (-4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (44.4% of total)

ival-div: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

ival-neg: 1.0ms (11.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

-35.2MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.8833640790676573e-116	2.6611750049636448e-114
1.0ms	-2.9272720034634455e-28	-6.559094610837285e-35

Compiler

Compiled 335 to 349 computations (-4.2% saved)

bsearch33.0ms (0.4%)

Memory

4.7MiB live, 43.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-5.993180816631858e-304	1.1501723953567685e-295

Samples

12.0ms	160×	0	valid
7.0ms	97×	0	invalid

Compiler

Compiled 150 to 170 computations (-13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (39.8% of total)

ival-div: 2.0ms (15.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

ival-add: 1.0ms (8% of total)

ival-sub: 1.0ms (8% of total)

ival-neg: 1.0ms (8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.4350601739652122e-256	1.1752842461768657e-253

Samples

9.0ms	127×	0	valid
4.0ms	58×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 100 to 132 computations (-32% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (43.6% of total)

ival-div: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

ival-sub: 1.0ms (10.9% of total)

ival-sqrt: 1.0ms (10.9% of total)

ival-neg: 1.0ms (10.9% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Memory

-18.3MiB live, 39.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.0097511636486915e+36	2.4990697229250544e+46

Samples

13.0ms	50×	1	valid
9.0ms	48×	2	valid
4.0ms	54×	0	valid
2.0ms	8×	3	valid
1.0ms	15×	0	invalid

Compiler

Compiled 120 to 160 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 8.0ms (35% of total)

ival-mult: 4.0ms (17.5% of total)

adjust: 3.0ms (13.1% of total)

ival-sqrt: 3.0ms (13.1% of total)

ival-div: 2.0ms (8.8% of total)

ival-sub: 2.0ms (8.8% of total)

ival-neg: 1.0ms (4.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify109.0ms (1.3%)

Memory

-6.9MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative-binary64-+.f64`
34×	`-commutative-binary64-.f64`
32×	`sub-neg-binary64-neg.f64-+.f64--.f64`
22×	`neg-sub0-binary64--.f64-neg.f64`
22×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	596
1	122	594
2	154	594
3	181	594
4	194	594
5	199	594
6	200	594

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4932568025991797/91343852333181432387730302044767688728495783936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4932568025991797/91343852333181432387730302044767688728495783936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 4902573248938973/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 1020000000000000034414612966117736448 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

Outputs
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal 4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1250000000000000026650523761817996090376572339084956183467917312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4932568025991797/91343852333181432387730302044767688728495783936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4932568025991797/91343852333181432387730302044767688728495783936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4932568025991797/91343852333181432387730302044767688728495783936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4932568025991797/91343852333181432387730302044767688728495783936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 4902573248938973/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 1020000000000000034414612966117736448 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)))

soundness1.1s (12.5%)

Memory

36.3MiB live, 578.7MiB allocated

Rules

11 514×	`lower-fma.f64`
11 514×	`lower-fma.f32`
11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
9 516×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6070	3204
0	8235	3047
0	864	10057
1	2858	9781
0	8871	9418
0	14	51
0	23	51
1	77	49
2	534	48
3	6860	48
0	8153	44
0	1047	14512
1	3466	14183
0	8105	13583
0	44	267
0	70	274
1	287	243
2	2241	235
0	8955	235

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 572 to 337 computations (41.1% saved)

preprocess137.0ms (1.6%)

Memory: -35.4MiB live, 135.3MiB allocated
Compiler: Compiled 716 to 226 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze131.0ms (1.5%)

sample1.8s (21.3%)

explain176.0ms (2.1%)

preprocess153.0ms (1.8%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify84.0ms (1%)

localize45.0ms (0.5%)

series26.0ms (0.3%)

simplify268.0ms (3.2%)

rewrite218.0ms (2.6%)

eval101.0ms (1.2%)

prune18.0ms (0.2%)

simplify103.0ms (1.2%)

localize152.0ms (1.8%)

series73.0ms (0.9%)

simplify327.0ms (3.8%)

rewrite247.0ms (2.9%)

eval519.0ms (6.1%)

prune208.0ms (2.4%)

simplify98.0ms (1.2%)

localize196.0ms (2.3%)

series88.0ms (1%)

simplify200.0ms (2.4%)

rewrite166.0ms (2%)

eval280.0ms (3.3%)

prune140.0ms (1.6%)

simplify91.0ms (1.1%)

localize155.0ms (1.8%)

series69.0ms (0.8%)

simplify213.0ms (2.5%)

rewrite174.0ms (2%)

eval240.0ms (2.8%)

prune74.0ms (0.9%)

regimes78.0ms (0.9%)

regimes13.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes19.0ms (0.2%)

regimes4.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch41.0ms (0.5%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch24.0ms (0.3%)

bsearch3.0ms (0%)

bsearch33.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch39.0ms (0.5%)

simplify109.0ms (1.3%)

soundness1.1s (12.5%)

preprocess137.0ms (1.6%)

end0.0ms (0%)

Profiling