Metrics for The quadratic formula (r2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze150.0ms (1.3%)

Memory

-21.8MiB live, 370.0MiB 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 (15.8%)

Memory

16.7MiB live, 2 325.2MiB allocated

Samples

494.0ms	5 557×	0	valid
321.0ms	1 223×	2	valid
237.0ms	1 305×	1	valid
92.0ms	926×	0	invalid
45.0ms	171×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 878.0ms

ival-mult: 283.0ms (32.2% of total)

adjust: 165.0ms (18.8% of total)

ival-sub: 130.0ms (14.8% of total)

ival-sqrt: 124.0ms (14.1% of total)

ival-div: 105.0ms (12% of total)

ival-neg: 50.0ms (5.7% of total)

exact: 10.0ms (1.1% of total)

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

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain261.0ms (2.3%)

Memory

-1.2MiB live, 234.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
108	0	-	2	(-1.1859043773906102e-269 1.0136580002697724e-232 1.6474511184829956e-43)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
64	0	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
16	0	-	1	(1.5217826625458832e-282 -1.613056938130942e-17 7.21013717870925e-55)	`(/.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))`
0	0	-	0	-	`a`
0	1	(-3.18370785202229e-130 -4.859156559437913e+54 3.4179563349267453e-195)	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	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
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	101	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	24
↳	`(*.f64 a c)`	overflow	24
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	101
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	64	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	15	0
↳	`(*.f64 b b)`	underflow	43
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	27
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	27
↳	`(*.f64 a c)`	underflow	28
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	43
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	27
↳	`(*.f64 a c)`	underflow	28
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5

Confusion

	Predicted +	Predicted -
+	139	2
-	17	98

Precision

0.8910256410256411

Recall

0.9858156028368794

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	2
-	17	0	98

Precision?

0.8910256410256411

Recall?

0.9858156028368794

Freqs

test

number	freq
0	100
1	127
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms	92×	2	valid
30.0ms	332×	0	valid
14.0ms	84×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (31.6% of total)

ival-sub: 8.0ms (19.5% of total)

ival-sqrt: 6.0ms (14.6% of total)

adjust: 5.0ms (12.2% of total)

ival-div: 5.0ms (12.2% of total)

ival-neg: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess187.0ms (1.6%)

Memory

-17.6MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 418×	`times-frac`
1 146×	`distribute-rgt-in`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
974×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	189	151
2	590	147
3	1942	144
4	4692	144
5	5896	144
6	6384	144
7	6472	144
8	6511	144
9	6782	144
0	14	17
0	23	17
1	45	17
2	104	17
3	247	16
4	409	16
5	743	16
6	1570	16
7	2082	16
8	2242	16
9	2312	16
10	2322	16
11	2322	16
12	2328	16
0	2328	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 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.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))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify99.0ms (0.9%)

Memory

3.6MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	45	70
2	104	70
3	247	69
4	409	69
5	743	69
6	1570	69
7	2082	69
8	2242	69
9	2312	69
10	2322	69
11	2322	69
12	2328	69
0	2328	65

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 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 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)

localize77.0ms (0.7%)

Memory

11.2MiB live, 85.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 #s(literal 4 binary64) (.f64 a c))
accuracy	3.6719638659517	(/.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	14.606245210220235	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	24.863391408535456	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

46.0ms	166×	0	valid
10.0ms	46×	2	valid
10.0ms	42×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-neg: 30.0ms (58% of total)

ival-mult: 7.0ms (13.5% of total)

ival-div: 5.0ms (9.7% of total)

ival-sub: 4.0ms (7.7% of total)

ival-sqrt: 3.0ms (5.8% of total)

adjust: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

8.7MiB live, 50.1MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#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 (-.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 (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 (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>) () ())
#s(alt (.f64 #s(literal 4 binary64) (.f64 a c)) (patch (.f64 #s(literal 4 binary64) (.f64 a c)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	c	@	-inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms	c	@	inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms	b	@	inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms	a	@	-inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
2.0ms	b	@	0	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))

simplify189.0ms (1.6%)

Memory

17.9MiB live, 242.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 868×	`lower-fma.f64`
9 868×	`lower-fma.f32`
7 984×	`lower-*.f64`
7 984×	`lower-*.f32`
2 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3258
1	1718	3229
2	5756	3190
0	8119	3030

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

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

rewrite381.0ms (3.3%)

Memory

-23.5MiB live, 179.7MiB allocated

Rules

5 318×	`lower-fma.f64`
5 318×	`lower-fma.f32`
4 626×	`lower-*.f32`
4 618×	`lower-*.f64`
3 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	23	56
1	81	56
2	591	53
0	8093	49

Stop Event

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

Counts

6 → 518

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 (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)) (.f64 (.f64 b b) b))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(.f64 (/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 b b) b))) (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.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)))) (fma.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)))))) (fma.f64 (.f64 (.f64 b b) b) b (fma.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))) (.f64 (fma.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 b b)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
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(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(+.f64 b #s(literal 0 binary64))
b
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 c a) c) a) (.f64 (.f64 (.f64 b b) b) b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 c a) c) a) (.f64 (.f64 (.f64 b b) b) b))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 c a) c) a) (.f64 (.f64 (.f64 b b) b) b))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 (.f64 b b) b) b)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 c a)) c) a (.f64 (.f64 (.f64 b b) b) b)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 c a) c) a) (.f64 (.f64 (.f64 b b) b) b)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 (*.f64 b b) b) b)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (sqrt.f64 (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 c a) c) a) (.f64 (.f64 (.f64 b b) b) b))) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 (*.f64 b b) b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 c a) c) a) (.f64 (.f64 (.f64 b b) b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 (.f64 b b) b) b))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 (.f64 c a) c) a) (.f64 c a)) (.f64 (.f64 (.f64 b b) b) (.f64 (*.f64 b 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 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (.f64 c #s(literal 4 binary64)) a)
(.f64 (.f64 a #s(literal 4 binary64)) c)
(.f64 (.f64 c a) #s(literal 4 binary64))
(.f64 c (.f64 a #s(literal 4 binary64)))
(.f64 a (.f64 c #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 c a))

eval156.0ms (1.4%)

Memory: 25.5MiB live, 260.8MiB allocated
Compiler: Compiled 25 833 to 2 242 computations (91.3% saved)

prune314.0ms (2.7%)

Memory

-34.8MiB live, 334.0MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	669	26	695
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	670	26	696

Accuracy

91.6%

Counts

696 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
	32.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
	36.5%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal -1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
	29.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 #s(literal 2 binary64) a)))
▶	48.1%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
	40.8%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	47.1%	(/.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))
▶	48.1%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	32.9%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 (fma.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
▶	24.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	33.4%	(/.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))
	33.2%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
	12.4%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
	25.4%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.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))
	28.2%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	31.4%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 #s(literal -2 binary64) (/.f64 c b)) a)) (*.f64 #s(literal 2 binary64) a))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
	32.3%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)) a))
	22.8%	(.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)))
	32.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
	33.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
	36.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c) (neg.f64 b)))
	33.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	37.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	33.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))

Compiler

Compiled 1 072 to 648 computations (39.6% saved)

simplify203.0ms (1.8%)

Memory

-12.2MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))
cost-diff	0	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
cost-diff	128	(.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a))
cost-diff	192	(fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))
cost-diff	0	(neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
cost-diff	0	(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b)
cost-diff	0	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(*.f64 #s(literal 2 binary64) a)
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
cost-diff	128	(*.f64 #s(literal 2 binary64) a)
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(*.f64 #s(literal 2 binary64) a)

Rules

4 712×	`lower-fma.f32`
4 704×	`lower-fma.f64`
2 208×	`lower-*.f32`
2 196×	`lower-*.f64`
1 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	340
0	69	335
1	134	335
2	272	332
3	611	331
4	1064	331
5	2153	331
6	4551	331
7	5191	331
8	5817	331
9	6351	331
10	6735	331
11	6787	331
12	7651	331
13	7795	331
14	7851	331
15	7994	331
0	8012	329

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (2.2%)

Memory

42.6MiB live, 268.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.9999917433208232	(fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))
accuracy	11.302011812895831	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	16.486854075001467	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0.015625	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	3.6719638659517	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
accuracy	14.606245210220235	(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b)
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	3.6719638659517	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
accuracy	14.606245210220235	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
accuracy	18.7961141642047	#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
accuracy	24.863391408535456	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
accuracy	0	(/.f64 c (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	40.33776451001788	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
accuracy	3.6719638659517	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.606245210220235	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

80.0ms	89×	2	valid
52.0ms	73×	1	valid
22.0ms	88×	0	valid
5.0ms	6×	3	valid

Compiler

Compiled 340 to 39 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 55.0ms (46.1% of total)

adjust: 15.0ms (12.6% of total)

ival-sqrt: 14.0ms (11.7% of total)

ival-div: 13.0ms (10.9% of total)

ival-sub: 10.0ms (8.4% of total)

ival-add: 7.0ms (5.9% of total)

ival-neg: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series161.0ms (1.4%)

Memory

-5.2MiB live, 116.6MiB allocated

Counts

22 → 732

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
82.0ms	c	@	inf	((* 2 a) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
5.0ms	c	@	0	((* 2 a) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
5.0ms	b	@	-inf	((* 2 a) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	a	@	inf	((* 2 a) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	c	@	-inf	((* 2 a) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify234.0ms (2%)

Memory

5.9MiB live, 321.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 998×	`lower-*.f64`
7 998×	`lower-*.f32`
6 954×	`lower-fma.f64`
6 954×	`lower-fma.f32`
4 856×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1251	16402
1	4109	16134
0	8518	15418

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 722

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) c) (.f64 (.f64 b b) b)) #s(literal 2 binary64) (.f64 (/.f64 a b) #s(literal 2 binary64))) c (.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
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(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a b))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a b)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a))) (neg.f64 a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)) (/.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a b))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a b)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))) (.f64 (/.f64 (.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a b))) (.f64 b b)) a) c) #s(literal -1/8 binary64))) a) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a b)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))) (neg.f64 a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) (neg.f64 a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 (.f64 (.f64 a a) a) 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 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.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 (.f64 (.f64 a a) a) 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 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (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 #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 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* -4 (* a c))
(.f64 (.f64 #s(literal -4 binary64) a) c)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 (.f64 (.f64 a a) a) 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 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.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 (.f64 (.f64 a a) a) 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 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (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 #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 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* -4 (* a c))
(.f64 (.f64 #s(literal -4 binary64) a) c)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 (.f64 (.f64 a a) a) 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 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.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 (.f64 (.f64 a a) a) 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 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (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 #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 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* -4 (* a c))
(.f64 (.f64 #s(literal -4 binary64) a) c)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) (neg.f64 a)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) a)) (neg.f64 a)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))

rewrite360.0ms (3.1%)

Memory

25.8MiB live, 371.3MiB allocated

Rules

5 854×	`lower-fma.f32`
5 846×	`lower-fma.f64`
4 744×	`lower-/.f32`
4 736×	`lower-/.f64`
4 292×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	268
0	69	263
1	299	263
2	1957	258
0	8884	258

Stop Event

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

Counts

22 → 1 565

Calls

Call 1

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

Outputs
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)) (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) a))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (.f64 b b) b)) (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (.f64 b b) b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (.f64 b b) b)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a))
(.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) b (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 2 binary64)))
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(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 (.f64 b b) b (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 (.f64 b b) b (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (.f64 b b) b)) (+.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (-.f64 (.f64 b b) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) b))))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) b))))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (neg.f64 (.f64 b b)) (.f64 b b))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) c) a (*.f64 (neg.f64 b) b))) (neg.f64 b))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 c c) c)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (sqrt.f64 (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (neg.f64 b))
(fma.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (neg.f64 (.f64 b b)) (.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) c) a (*.f64 (neg.f64 b) b)) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 c c) c)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 b))
(fma.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (neg.f64 (.f64 b b)) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 (neg.f64 b) b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (neg.f64 (.f64 b b)) (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 (neg.f64 b) b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 c c) c)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 c c) c)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 c c) c)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 c c) c)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 b))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal -1 binary64) b)
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))
(-.f64 (/.f64 (.f64 b b) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))) (/.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)) (/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)))
(-.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 b b (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) b)))) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 b b (-.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) b)))))
(-.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)) (/.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)) (/.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (+.f64 b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))
(-.f64 (/.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)) (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b))
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) b)
(+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))

eval491.0ms (4.3%)

Memory: -19.6MiB live, 661.6MiB allocated
Compiler: Compiled 93 822 to 5 720 computations (93.9% saved)

prune759.0ms (6.6%)

Memory

6.5MiB live, 712.4MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	2 554	21	2 575
Fresh	15	6	21
Picked	3	2	5
Done	0	0	0
Total	2 572	29	2 601

Accuracy

91.7%

Counts

2 601 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) a)))
	28.2%	(/.f64 (/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
▶	1.8%	(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	1.8%	(/.f64 (-.f64 (.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) (.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
	29.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 #s(literal 2 binary64) a)))
	33.4%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) b) (*.f64 #s(literal 2 binary64) a))
	33.3%	(/.f64 (-.f64 (neg.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) b) (.f64 #s(literal 2 binary64) a))
	12.4%	(/.f64 (-.f64 (neg.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) b) (*.f64 #s(literal 2 binary64) a))
	40.8%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	47.1%	(/.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))
✓	24.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	21.4%	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
▶	48.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	28.2%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	31.4%	(/.f64 #s(approx (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
	46.5%	(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
	32.3%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)) a))
▶	32.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
	31.9%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
▶	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.4%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
▶	29.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
✓	37.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	14.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
	14.9%	#s(approx (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))

Compiler

Compiled 1 123 to 663 computations (41% saved)

simplify110.0ms (1%)

Memory

39.5MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	192	(+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b))
cost-diff	448	(*.f64 #s(literal 0 binary64) (neg.f64 b))
cost-diff	1664	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 b b))
cost-diff	192	(+.f64 #s(literal 0 binary64) b)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Rules

3 368×	`lower-*.f32`
3 356×	`lower-*.f64`
3 348×	`lower-fma.f32`
3 344×	`lower-fma.f64`
2 766×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	367
0	86	298
1	179	286
2	359	268
3	804	264
4	1776	264
5	4522	264
0	8177	264

Stop Event

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

Calls

Call 1

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

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

localize289.0ms (2.5%)

Memory

-20.8MiB live, 472.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	11.302011812895831	(-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
accuracy	18.7961141642047	#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
accuracy	24.863391408535456	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
accuracy	41.203340479871514	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))
accuracy	0.015625	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	3.6168617733103767	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
accuracy	11.302011812895831	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0	(+.f64 #s(literal 0 binary64) b)
accuracy	0	(*.f64 b b)
accuracy	30.143353149422584	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
accuracy	40.33776451001788	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
accuracy	0	(/.f64 (neg.f64 b) a)
accuracy	0	(neg.f64 b)
accuracy	42.66304619686945	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.015625	(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
accuracy	3.6719638659517	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	14.606245210220235	(+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))

Samples

108.0ms	91×	2	valid
93.0ms	74×	1	valid
34.0ms	87×	0	valid
4.0ms	4×	3	valid

Compiler

Compiled 345 to 49 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

adjust: 62.0ms (32.2% of total)

ival-sub: 40.0ms (20.8% of total)

ival-div: 32.0ms (16.6% of total)

ival-add: 22.0ms (11.4% of total)

ival-mult: 22.0ms (11.4% of total)

ival-sqrt: 11.0ms (5.7% of total)

ival-neg: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series77.0ms (0.7%)

Memory

-16.5MiB live, 99.0MiB allocated

Counts

24 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	c	@	0	((/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* c a) -4) (* b b)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (* 0 (neg b)) (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b)))) (* b b) (+ (* -4 (* c a)) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (- (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (sqrt (- (* b b) (* 4 (* a c))))))
5.0ms	a	@	-inf	((/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* c a) -4) (* b b)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (* 0 (neg b)) (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b)))) (* b b) (+ (* -4 (* c a)) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (- (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (sqrt (- (* b b) (* 4 (* a c))))))
3.0ms	b	@	-inf	((/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* c a) -4) (* b b)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (* 0 (neg b)) (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b)))) (* b b) (+ (* -4 (* c a)) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (- (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (sqrt (- (* b b) (* 4 (* a c))))))
2.0ms	b	@	inf	((/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* c a) -4) (* b b)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (* 0 (neg b)) (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b)))) (* b b) (+ (* -4 (* c a)) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (- (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (sqrt (- (* b b) (* 4 (* a c))))))
2.0ms	b	@	0	((/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* c a) -4) (* b b)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (* 0 (neg b)) (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b)))) (* b b) (+ (* -4 (* c a)) (* b b)) (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (- (/ (+ 0 (* (* b b) b)) (+ 0 (- (* b b) (* 0 (neg b))))) (sqrt (- (* b b) (* 4 (* a c))))))

simplify267.0ms (2.3%)

Memory

24.1MiB live, 335.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 536×	`lower-fma.f64`
13 536×	`lower-fma.f32`
8 964×	`lower-*.f64`
8 964×	`lower-*.f32`
3 990×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	10786
1	2327	10664
2	7651	10586
0	8686	10069

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 579

Calls

Call 1

Inputs
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
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 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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))
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))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* 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))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 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))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) 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))))))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ 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))))))))
(* -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))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ 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))))))))
(* -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 (* (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))))))))
(* -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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* (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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* (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)))))))))
b
b
b
b
0
0
0
0
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* (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))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
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 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) 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)))))))
b
b
b
b
0
0
0
0
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
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(pow b 2)
(pow b 2)
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(pow b 2)
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(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))) (* -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)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
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(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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(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 (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
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(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
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(* -1 (/ c b))
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -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))))))))
b
b
b
b
0
0
0
0
(pow b 3)
(pow b 3)
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(pow b 2)
(pow b 2)
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(pow b 2)
(pow b 2)
(pow b 2)
(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 b)
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(pow b 2)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
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(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -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 (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c 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))))))))
(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 (* 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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1/2 (* (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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* 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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1/2 (* (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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1/2 (* (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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) 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))))))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) 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))))))))
(* -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))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -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))) 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))))))))
(* -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 (* (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))))))))
(* -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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))

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

rewrite147.0ms (1.3%)

Memory

-48.4MiB live, 187.0MiB allocated

Rules

2 056×	`lower-fma.f32`
2 052×	`lower-fma.f64`
1 196×	`lower-/.f32`
1 184×	`lower-/.f64`
1 156×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	264
0	82	211
1	384	193
0	3100	193

Stop Event

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

Counts

24 → 786

Calls

Call 1

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

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

eval270.0ms (2.3%)

Memory: 59.2MiB live, 384.4MiB allocated
Compiler: Compiled 48 540 to 4 712 computations (90.3% saved)

prune492.0ms (4.3%)

Memory

-26.3MiB live, 544.8MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 783	16	1 799
Fresh	5	17	22
Picked	3	2	5
Done	1	1	2
Total	1 792	36	1 828

Accuracy

91.7%

Counts

1 828 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.8%	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 b b) b) b)) (.f64 b b) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))))) (.f64 #s(literal 2 binary64) a))
	23.8%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) a)))
	28.2%	(/.f64 (/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
	2.5%	(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))) (exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
	1.8%	(/.f64 (-.f64 (.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) (.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
	29.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 #s(literal 2 binary64) a)))
	33.4%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) b) (*.f64 #s(literal 2 binary64) a))
	40.8%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	47.1%	(/.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))
	21.4%	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
✓	48.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	33.4%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (*.f64 #s(literal -2 binary64) a))
▶	33.3%	(/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) b) (.f64 #s(literal -2 binary64) a))
▶	28.2%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	1.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) b #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	31.4%	(/.f64 #s(approx (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
	46.5%	(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
▶	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
	32.3%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)) a))
	25.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
	2.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ ( -4 (* c a)) (* b b))) (neg.f64 b))))
	12.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ ( -4 (* c a)) (* b b)))) (.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64))))
	31.4%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
▶	21.5%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a))
✓	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
	32.4%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
	29.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (*.f64 (neg.f64 b) b) b)))
✓	37.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	14.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
	12.3%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
▶	2.6%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
	2.2%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))

Compiler

Compiled 1 356 to 780 computations (42.5% saved)

simplify117.0ms (1%)

Memory

25.2MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))
cost-diff	192	(fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))
cost-diff	320	(.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))
cost-diff	384	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
cost-diff	0	#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
cost-diff	0	(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) b)
cost-diff	0	(/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) b) (.f64 #s(literal -2 binary64) a))
cost-diff	0	(*.f64 (neg.f64 b) b)
cost-diff	0	(/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)
cost-diff	0	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a))
cost-diff	1024	(/.f64 (*.f64 (neg.f64 b) b) b)
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
cost-diff	0	(*.f64 #s(literal -2 binary64) a)
cost-diff	0	(/.f64 (.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))

Rules

7 398×	`lower-fma.f32`
7 388×	`lower-fma.f64`
3 398×	`lower-*.f32`
3 386×	`lower-*.f64`
1 812×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	356
0	85	360
1	150	350
2	317	338
3	730	337
4	2045	337
5	5450	337
0	8104	334

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (2.2%)

Memory

10.4MiB live, 275.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.9999917433208232	(fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))
accuracy	11.302011812895831	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	14.603585332794962	(.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	1.4445243617805874	(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
accuracy	3.6719638659517	(/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) b) (.f64 #s(literal -2 binary64) a))
accuracy	14.606245210220235	(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) b)
accuracy	43.07477571594065	#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
accuracy	0	(*.f64 (neg.f64 b) b)
accuracy	0	(neg.f64 b)
accuracy	30.143353149422584	(/.f64 (*.f64 (neg.f64 b) b) b)
accuracy	42.66304619686945	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a))
accuracy	0	(/.f64 b a)
accuracy	40.1727378621207	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
accuracy	0.5203071340288309	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
accuracy	3.588896301005984	(/.f64 (.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
accuracy	14.606245210220235	(+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
accuracy	24.863391408535456	(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))

Samples

120.0ms	86×	2	valid
53.0ms	88×	0	valid
41.0ms	74×	1	valid
7.0ms	8×	3	valid

Compiler

Compiled 342 to 46 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-div: 59.0ms (44.7% of total)

adjust: 24.0ms (18.2% of total)

ival-mult: 22.0ms (16.7% of total)

ival-add: 10.0ms (7.6% of total)

ival-sqrt: 7.0ms (5.3% of total)

ival-sub: 5.0ms (3.8% of total)

ival-neg: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series352.0ms (3.1%)

Memory

-90.2MiB live, 157.4MiB allocated

Counts

22 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	((/ 1 (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b a) (/ (* (neg b) b) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* -2 a) (/ c b)) b) (/ (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* c a) -4) (* b b))) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	b	@	-inf	((/ 1 (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b a) (/ (* (neg b) b) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* -2 a) (/ c b)) b) (/ (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* c a) -4) (* b b))) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	c	@	0	((/ 1 (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b a) (/ (* (neg b) b) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* -2 a) (/ c b)) b) (/ (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* c a) -4) (* b b))) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
5.0ms	c	@	inf	((/ 1 (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b a) (/ (* (neg b) b) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* -2 a) (/ c b)) b) (/ (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* c a) -4) (* b b))) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	b	@	inf	((/ 1 (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b a) (/ (* (neg b) b) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* -2 a) (/ c b)) b) (/ (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (* (+ (* b b) (+ (* (* c a) 4) (* b b))) (/ -1 (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (sqrt (+ (* (* c a) -4) (* b b))) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify286.0ms (2.5%)

Memory

-22.2MiB live, 343.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 328×	`lower-*.f64`
7 328×	`lower-*.f32`
7 182×	`lower-fma.f64`
7 182×	`lower-fma.f32`
4 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1584	16184
1	5287	15541
0	8710	14849

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 659

Calls

Call 1

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

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

rewrite229.0ms (2%)

Memory

2.8MiB live, 349.8MiB allocated

Rules

4 980×	`lower-/.f32`
4 962×	`lower-/.f64`
4 618×	`lower-*.f32`
4 606×	`lower-*.f64`
2 686×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	285
0	85	289
1	321	276
2	2307	267
0	8266	267

Stop Event

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

Counts

22 → 1 034

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)))) (/.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 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (fma.f64 (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)) (.f64 (.f64 b b) b)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 b (-.f64 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)))))
(.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))))
(.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)) (fma.f64 (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)) (.f64 (.f64 b b) b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (.f64 b b)))) (/.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 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (.f64 (.f64 b b) b)))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 b (-.f64 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)))))
(.f64 (/.f64 (fma.f64 b (-.f64 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))) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)) (fma.f64 b (-.f64 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)))))
(.f64 (/.f64 (-.f64 (.f64 (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))) (.f64 (.f64 b b) b)) (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 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 -2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (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))) (.f64 (.f64 b b) b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 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)))) (*.f64 a #s(literal -2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (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))) (.f64 (.f64 b b) b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 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)))) a))
(.f64 (/.f64 (-.f64 (.f64 (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))) (.f64 (.f64 b b) b)) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 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 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (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))) (.f64 (.f64 b b) b)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 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)))) (neg.f64 a)))
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eval269.0ms (2.3%)

Memory: 1.6MiB live, 411.2MiB allocated
Compiler: Compiled 55 801 to 4 855 computations (91.3% saved)

prune561.0ms (4.9%)

Memory

22.1MiB live, 618.4MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	1 717	14	1 731
Fresh	6	22	28
Picked	3	2	5
Done	0	3	3
Total	1 726	41	1 767

Accuracy

91.7%

Counts

1 767 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) a)))
	28.2%	(/.f64 (/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
	2.5%	(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))) (exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
	1.8%	(/.f64 (-.f64 (.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) (.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
	29.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 #s(literal 2 binary64) a)))
	33.4%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) b) (*.f64 #s(literal 2 binary64) a))
	47.1%	(/.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))
	21.4%	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
✓	48.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	33.4%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (*.f64 #s(literal -2 binary64) a))
✓	33.3%	(/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) b) (.f64 #s(literal -2 binary64) a))
	1.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) b #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	48.7%	(/.f64 (.f64 #s(approx (+ ( b b) (+ (* (* c a) 4) (* b b))) (.f64 #s(literal 4 binary64) (.f64 c a))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	31.4%	(/.f64 #s(approx (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
	46.5%	(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))) b)))
	47.9%	(/.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))))
	33.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (/.f64 (neg.f64 a) b)))
	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* -2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (.f64 b b))) (neg.f64 b))))
	47.9%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
	25.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
	12.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ ( -4 (* c a)) (* b b)))) (.f64 (.f64 (/.f64 c b) a) #s(literal 2 binary64))))
	31.4%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
	21.2%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (.f64 (neg.f64 b) b) (.f64 b a)))
✓	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
	33.2%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	33.3%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	32.4%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
	30.1%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (neg.f64 b) (/.f64 b (.f64 b a))))
	29.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (*.f64 (neg.f64 b) b) b)))
✓	37.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	14.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
	2.7%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 (.f64 b b) (.f64 b a)))
	12.3%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
✓	2.6%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
	2.3%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (/.f64 (.f64 b b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) a)))
	2.6%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	2.2%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
	4.3%	#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 943 to 685 computations (64.7% saved)

regimes125.0ms (1.1%)

Memory

-29.2MiB live, 172.4MiB allocated

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

39.0ms	b
28.0ms	(/.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))
24.0ms	c
22.0ms	a

Results

Accuracy	Segments	Branch
56.5%	3	`a`
86.6%	3	`b`
52.8%	2	`c`
76.2%	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 32 to 23 computations (28.1% saved)

regimes16.0ms (0.1%)

Memory

33.5MiB live, 33.5MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-5.5MiB live, 30.8MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-9.9MiB live, 26.5MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
81.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.3%)

Memory

-10.2MiB live, 28.1MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	b
10.0ms	(/.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
53.0%	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))`
68.2%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.5%)

Memory

-30.7MiB live, 13.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
68.0%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

3.0ms	a
3.0ms	c
3.0ms	b
2.0ms	(/.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
37.0%	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))`
37.0%	1	`c`
37.0%	1	`a`
37.0%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	c
2.0ms	a
2.0ms	(/.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	b

Results

Accuracy	Segments	Branch
12.3%	1	`c`
12.3%	1	`b`
12.3%	1	`a`
12.3%	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))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes10.0ms (0.1%)

Memory

-22.0MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	a
2.0ms	b
2.0ms	(/.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))
1.0ms	c

Results

Accuracy	Segments	Branch
2.6%	1	`c`
2.6%	1	`a`
2.6%	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))`
2.6%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch39.0ms (0.3%)

Memory

7.6MiB live, 79.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.416358428313809e+77	3.182599448052243e+81
22.0ms	-6.322899937500099e-59	-9.526165685011386e-61

Samples

11.0ms	136×	0	valid
8.0ms	41×	1	valid
3.0ms	15×	2	valid
2.0ms	30×	0	invalid

Compiler

Compiled 386 to 265 computations (31.3% saved)

Precisions

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

ival-mult: 5.0ms (28.4% of total)

ival-sub: 5.0ms (28.4% of total)

ival-div: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

adjust: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.416358428313809e+77	3.182599448052243e+81
1.0ms	-6.322899937500099e-59	-9.526165685011386e-61

Compiler

Compiled 374 to 253 computations (32.4% saved)

bsearch34.0ms (0.3%)

Memory

-9.2MiB live, 40.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.603815302364862e-20	0.6008214594633099
1.0ms	-6.322899937500099e-59	-9.526165685011386e-61

Samples

23.0ms	160×	0	valid
1.0ms	13×	0	invalid

Compiler

Compiled 512 to 353 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-neg: 12.0ms (59.6% of total)

ival-mult: 4.0ms (19.9% of total)

ival-sub: 2.0ms (9.9% of total)

ival-div: 1.0ms (5% of total)

ival-sqrt: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.603815302364862e-20	0.6008214594633099
1.0ms	-6.322899937500099e-59	-9.526165685011386e-61

Compiler

Compiled 495 to 336 computations (32.1% saved)

bsearch38.0ms (0.3%)

Memory

20.6MiB live, 56.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.5806747859184913e-76	1.6364349607636804e-64
1.0ms	-6.322899937500099e-59	-9.526165685011386e-61

Samples

12.0ms	160×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 495 to 336 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (41% of total)

ival-sub: 2.0ms (20.5% of total)

ival-div: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

12.6MiB live, 49.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-1.5746018738256955e-304	4.662214736627708e-308

Samples

12.0ms	128×	0	valid
4.0ms	46×	0	invalid

Compiler

Compiled 191 to 124 computations (35.1% saved)

Precisions

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

ival-mult: 4.0ms (45.1% of total)

ival-sub: 2.0ms (22.5% of total)

ival-div: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

ival-neg: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

-2.3MiB live, 33.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-1.5746018738256955e-304	4.662214736627708e-308

Samples

5.0ms	64×	0	valid
3.0ms	38×	0	invalid

Compiler

Compiled 167 to 116 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.7% of total)

ival-sub: 1.0ms (18.9% of total)

ival-div: 1.0ms (18.9% of total)

ival-sqrt: 1.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

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

simplify50.0ms (0.4%)

Memory

-7.9MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
44×	`+-commutative_binary64`
36×	`sub-neg_binary64`
28×	`neg-sub0_binary64`
28×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	534
1	116	534
2	140	534
3	168	534
4	187	534
5	202	534
6	208	534
7	211	534
8	212	534

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1499999999999999987235111512055860810821282557259208096610092736733707476955824128 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1499999999999999987235111512055860810821282557259208096610092736733707476955824128 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/1208925819614629174706176 binary64)) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/1208925819614629174706176 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6925922319537253/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 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 c (neg.f64 b)))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1499999999999999987235111512055860810821282557259208096610092736733707476955824128 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1499999999999999987235111512055860810821282557259208096610092736733707476955824128 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/1208925819614629174706176 binary64)) (/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/1208925819614629174706176 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) b) (.f64 (neg.f64 a) #s(literal 2 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 -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/1208925819614629174706176 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/1208925819614629174706176 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* 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 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6925922319537253/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6925922319537253/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 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 c (neg.f64 b)))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))

soundness983.0ms (8.5%)

Memory

-24.4MiB live, 816.8MiB allocated

Rules

13 536×	`lower-fma.f64`
13 536×	`lower-fma.f32`
9 868×	`lower-fma.f64`
9 868×	`lower-fma.f32`
8 964×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	10786
1	2327	10664
2	7651	10586
0	8686	10069
0	545	3258
1	1718	3229
2	5756	3190
0	8119	3030
0	42	268
0	69	263
1	299	263
2	1957	258
0	8884	258
0	14	56
0	23	56
1	81	56
2	591	53
0	8093	49
0	1251	16402
1	4109	16134
0	8518	15418

Stop Event

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

Compiler

Compiled 581 to 276 computations (52.5% saved)

preprocess159.0ms (1.4%)

Memory: 26.4MiB live, 145.8MiB allocated
Compiler: Compiled 576 to 198 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	91	534
1	116	534
2	140	534
3	168	534
4	187	534
5	202	534
6	208	534
7	211	534
8	212	534

Iter	Nodes	Cost
0	91	534
1	116	534
2	140	534
3	168	534
4	187	534
5	202	534
6	208	534
7	211	534
8	212	534

start0.0ms (0%)

analyze150.0ms (1.3%)

sample1.8s (15.8%)

explain261.0ms (2.3%)

preprocess187.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify99.0ms (0.9%)

localize77.0ms (0.7%)

series37.0ms (0.3%)

simplify189.0ms (1.6%)

rewrite381.0ms (3.3%)

eval156.0ms (1.4%)

prune314.0ms (2.7%)

simplify203.0ms (1.8%)

localize255.0ms (2.2%)

series161.0ms (1.4%)

simplify234.0ms (2%)

rewrite360.0ms (3.1%)

eval491.0ms (4.3%)

prune759.0ms (6.6%)

simplify110.0ms (1%)

localize289.0ms (2.5%)

series77.0ms (0.7%)

simplify267.0ms (2.3%)

rewrite147.0ms (1.3%)

eval270.0ms (2.3%)

prune492.0ms (4.3%)

simplify117.0ms (1%)

localize254.0ms (2.2%)

series352.0ms (3.1%)

simplify286.0ms (2.5%)

rewrite229.0ms (2%)

eval269.0ms (2.3%)

prune561.0ms (4.9%)

regimes125.0ms (1.1%)

regimes16.0ms (0.1%)

regimes18.0ms (0.2%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes29.0ms (0.3%)

regimes59.0ms (0.5%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch39.0ms (0.3%)

bsearch1.0ms (0%)

bsearch34.0ms (0.3%)

bsearch2.0ms (0%)

bsearch38.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch25.0ms (0.2%)

simplify50.0ms (0.4%)

soundness983.0ms (8.5%)

preprocess159.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	91	534
1	116	534
2	140	534
3	168	534
4	187	534
5	202	534
6	208	534
7	211	534
8	212	534