Metrics for The quadratic formula (r1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze378.0ms (3.6%)

Memory

-88.3MiB live, 245.0MiB 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)

sample1.9s (18.2%)

Memory

31.2MiB live, 2 563.5MiB allocated

Samples

627.0ms	5 593×	0	valid
266.0ms	1 190×	2	valid
258.0ms	1 315×	1	valid
151.0ms	955×	0	invalid
84.0ms	158×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 251.0ms (24.8% of total)

ival-sub: 219.0ms (21.7% of total)

ival-sqrt: 165.0ms (16.3% of total)

ival-div: 128.0ms (12.7% of total)

adjust: 108.0ms (10.7% of total)

ival-add: 66.0ms (6.5% of total)

ival-neg: 52.0ms (5.1% of total)

exact: 9.0ms (0.9% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain183.0ms (1.7%)

Memory

23.7MiB live, 380.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	1	(-4.792509295656241e-141 -6.030816241202453e-222 4.4563888972311437e-178)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
63	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
18	-	2	(-3.2462863533522074e-71 4.747929975028886e-14 -5.540349571514956e-261)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
5	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	105	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	105
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	30
↳	`(*.f64 b b)`	overflow	86
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	63	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	16	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	26
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	36
↳	`(*.f64 b b)`	underflow	33
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	5	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	30
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	5	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	36
↳	`(*.f64 b b)`	underflow	33

Confusion

	Predicted +	Predicted -
+	134	1
-	24	97

Precision

0.8481012658227848

Recall

0.9925925925925926

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	1
-	24	0	97

Precision?

0.8481012658227848

Recall?

0.9925925925925926

Freqs

test

number	freq
0	98
1	125
2	30
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	338×	0	valid
18.0ms	80×	2	valid
13.0ms	80×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 13.0ms (30.4% of total)

ival-div: 7.0ms (16.4% of total)

ival-sqrt: 6.0ms (14% of total)

adjust: 5.0ms (11.7% of total)

ival-sub: 4.0ms (9.4% of total)

ival-add: 4.0ms (9.4% of total)

ival-neg: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess141.0ms (1.3%)

Memory

-6.1MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 548×	`div-sub`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
1 004×	`sub-neg`
744×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1233	144
4	3210	144
5	6057	144
0	14	17
0	23	17
1	40	16
2	77	16
3	160	16
4	240	16
5	381	16
6	662	16
7	1129	16
8	2243	16
9	2519	16
10	2629	16
11	2684	16
12	2685	16
13	2685	16
14	2691	16
0	2691	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 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify84.0ms (0.8%)

Memory

-7.9MiB live, 66.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
440×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	40	68
2	77	68
3	160	68
4	240	68
5	381	68
6	662	68
7	1129	68
8	2243	68
9	2519	68
10	2629	68
11	2684	68
12	2685	68
13	2685	68
14	2691	68
0	2691	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize61.0ms (0.6%)

Memory

-4.4MiB live, 109.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.9960937500000001	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	4.170144312738375	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	14.168911774626082	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	25.860696067451798	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

17.0ms	169×	0	valid
16.0ms	40×	1	valid
9.0ms	40×	2	valid
2.0ms	7×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 9.0ms (28.1% of total)

ival-neg: 9.0ms (28.1% of total)

ival-sub: 4.0ms (12.5% of total)

ival-div: 3.0ms (9.4% of total)

ival-sqrt: 3.0ms (9.4% of total)

adjust: 2.0ms (6.2% of total)

ival-add: 2.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

5.6MiB live, 42.1MiB allocated

Counts

5 → 156

Calls

Call 1

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

Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>

Calls

39 calls:

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

simplify352.0ms (3.3%)

Memory

6.5MiB live, 526.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite336.0ms (3.2%)

Memory

5.1MiB live, 567.0MiB allocated

Rules

4 850×	`lower-fma.f64`
4 850×	`lower-fma.f32`
3 904×	`lower-*.f32`
3 896×	`lower-*.f64`
2 332×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

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

eval81.0ms (0.8%)

Memory: 17.9MiB live, 239.8MiB allocated
Compiler: Compiled 22 484 to 2 093 computations (90.7% saved)

prune92.0ms (0.9%)

Memory

-3.9MiB live, 243.6MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	577	16	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	16	594

Accuracy

91.0%

Counts

594 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.8%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	23.0%	(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
▶	39.8%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	48.6%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	38.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
▶	30.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	45.2%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	12.2%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
	28.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
	32.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
▶	32.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
▶	49.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	34.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	36.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
▶	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	33.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 a c) (.f64 b (.f64 b b))))))

Compiler

Compiled 632 to 390 computations (38.3% saved)

simplify289.0ms (2.7%)

Memory

-37.5MiB live, 269.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
cost-diff	0	(neg.f64 a)
cost-diff	0	(/.f64 b (neg.f64 a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
cost-diff	0	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.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 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))

Rules

7 726×	`lower-fma.f32`
7 724×	`lower-fma.f64`
3 264×	`lower-*.f32`
3 250×	`lower-*.f64`
2 088×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	360
0	67	360
1	114	346
2	202	346
3	482	346
4	948	346
5	2135	346
6	5910	346
0	8192	346

Stop Event

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

Calls

Call 1

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

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

localize220.0ms (2.1%)

Memory

22.3MiB live, 505.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.170144312738375	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.168911774626082	(+.f64 (neg.f64 b) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
accuracy	25.860696067451816	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	25.991887327164832	(/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	0.364822926574075	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
accuracy	2.3244457164116126	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
accuracy	14.616879309121693	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	25.860696067451816	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	4.170144312738375	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.168911774626082	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
accuracy	25.860696067451798	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	40.85479411107203	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	0	(/.f64 b (neg.f64 a))
accuracy	0	(neg.f64 a)
accuracy	41.32012895669096	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
accuracy	0	(*.f64 a #s(literal -4 binary64))
accuracy	4.273991822506816	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
accuracy	14.168911774626082	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	25.860696067451816	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))

Samples

51.0ms	75×	2	valid
43.0ms	82×	1	valid
24.0ms	86×	0	valid
10.0ms	13×	3	valid

Compiler

Compiled 351 to 38 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 21.0ms (25.7% of total)

ival-mult: 18.0ms (22.1% of total)

adjust: 13.0ms (15.9% of total)

ival-sqrt: 11.0ms (13.5% of total)

ival-add: 10.0ms (12.3% of total)

ival-sub: 6.0ms (7.4% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series107.0ms (1%)

Memory

-23.0MiB live, 133.9MiB allocated

Counts

20 → 612

Calls

Call 1

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

Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* 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)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)>
#<alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 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)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))>
#<alt (* -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))))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
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#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>

Calls

153 calls:

Time	Variable		Point	Expression
30.0ms	c	@	0	(* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)
19.0ms	c	@	inf	(/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))
8.0ms	a	@	inf	(* (/ -1/2 a) (- b (sqrt (+ (* c (* a -4)) (* b b)))))
3.0ms	a	@	inf	(* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)
2.0ms	a	@	0	(/ -1/2 a)

simplify358.0ms (3.4%)

Memory

26.9MiB live, 804.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 838×	`lower-*.f64`
7 838×	`lower-*.f32`
7 054×	`lower-fma.f64`
7 054×	`lower-fma.f32`
4 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1254	14372
1	4168	14030
0	8950	13463

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 603

Calls

Call 1

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

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

rewrite366.0ms (3.5%)

Memory

-10.9MiB live, 750.9MiB allocated

Rules

5 438×	`lower-fma.f32`
5 436×	`lower-fma.f64`
4 106×	`lower-/.f32`
4 092×	`lower-/.f64`
3 840×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	264
0	67	245
1	237	232
2	1846	223
0	8854	223

Stop Event

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

Counts

20 → 1 031

Calls

Call 1

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

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

eval268.0ms (2.5%)

Memory: 23.5MiB live, 490.1MiB allocated
Compiler: Compiled 68 313 to 5 045 computations (92.6% saved)

prune375.0ms (3.5%)

Memory

0.5MiB live, 453.5MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1 928	22	1 950
Fresh	10	1	11
Picked	2	3	5
Done	0	0	0
Total	1 940	26	1 966

Accuracy

91.0%

Counts

1 966 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))))
	30.2%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	28.7%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	29.1%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))
	20.7%	(/.f64 #s(approx (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
▶	30.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
✓	32.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	30.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) #s(literal -1 binary64))) a))
	2.6%	(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (+ b (sqrt (+ ( c (* a -4)) (* b b))))) (/.f64 #s(literal 1/2 binary64) b)) a))
▶	11.5%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
	30.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
✓	49.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	27.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (- b (sqrt (+ ( c (* a -4)) (* b b)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)))
▶	36.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (/.f64 c (neg.f64 b)))
▶	34.6%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b)))
	35.3%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (.f64 c (fma.f64 a (neg.f64 (/.f64 c (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
	34.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	25.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
	2.4%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
	11.5%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 c b))
▶	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Compiler

Compiled 754 to 477 computations (36.7% saved)

simplify217.0ms (2%)

Memory

10.7MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)
cost-diff	0	(*.f64 a #s(literal 2 binary64))
cost-diff	0	(/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))
cost-diff	0	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b)))
cost-diff	768	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b))
cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
cost-diff	0	#s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Rules

8 572×	`lower-fma.f64`
8 572×	`lower-fma.f32`
3 804×	`lower-*.f32`
3 792×	`lower-*.f64`
1 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	314
0	66	314
1	114	304
2	208	304
3	541	302
4	1293	294
5	3155	294
6	6242	294
0	8176	282

Stop Event

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

Calls

Call 1

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

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

localize245.0ms (2.3%)

Memory

-8.4MiB live, 268.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	4.143247974567745	(/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
accuracy	14.168911774626082	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)
accuracy	25.860696067451798	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	40.85479411107203	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	0	(neg.f64 b)
accuracy	4.166269376857265	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b))
accuracy	7.612181292541613	(/.f64 c (*.f64 b b))
accuracy	41.227382544785264	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b)))
accuracy	0	(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
accuracy	0	(*.f64 b #s(literal 1/2 binary64))
accuracy	0.364822926574075	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
accuracy	41.38029348051611	#s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
accuracy	0	(/.f64 b a)
accuracy	40.49646124754572	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
accuracy	0	(/.f64 c (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	40.623731114981524	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Samples

90.0ms	72×	2	valid
34.0ms	81×	1	valid
33.0ms	87×	0	valid
12.0ms	16×	3	valid

Compiler

Compiled 252 to 42 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 49.0ms (40.8% of total)

ival-div: 36.0ms (30% of total)

adjust: 12.0ms (10% of total)

ival-add: 8.0ms (6.7% of total)

ival-sqrt: 7.0ms (5.8% of total)

ival-sub: 5.0ms (4.2% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series91.0ms (0.9%)

Memory

-7.3MiB live, 67.2MiB allocated

Counts

20 → 576

Calls

Call 1

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

Outputs
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ b a)>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (/ c b)>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (/ b a)>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ b a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ b a)>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (/ c b)>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (/ b a)>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ b a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* 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)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)>
#<alt (* 1/2 (/ b c))>
#<alt (* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)>
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#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 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)))))))>
#<alt (* -1 (/ b c))>
#<alt (* b (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c)))>
#<alt (* b (- (+ (* -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))) (/ a (pow b 2)))) (/ 1 c)))>
#<alt (* -1 (/ a b))>
#<alt (* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b))>
#<alt (* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b))>
#<alt (* -1 (/ b c))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) c)>
#<alt (/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c)>
#<alt (/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c)>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c)>
#<alt (/ (+ (* -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))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b 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))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -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)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 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)))))))))) c))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>

Calls

144 calls:

Time	Variable		Point	Expression
36.0ms	a	@	inf	(* (- (/ 1 a) (/ c (* b b))) (neg b))
5.0ms	c	@	inf	(/ c (neg b))
1.0ms	a	@	inf	(/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	c	@	inf	(/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	a	@	-inf	(/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b))

simplify356.0ms (3.4%)

Memory

34.6MiB live, 431.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 784×	`lower-fma.f64`
8 784×	`lower-fma.f32`
6 874×	`lower-*.f64`
6 874×	`lower-*.f32`
6 106×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1077	10430
1	3607	10073
0	8445	9704

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 573

Calls

Call 1

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

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

rewrite264.0ms (2.5%)

Memory

6.3MiB live, 471.5MiB allocated

Rules

4 868×	`lower-*.f32`
4 856×	`lower-*.f64`
4 186×	`lower-/.f32`
4 170×	`lower-/.f64`
2 030×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	284
0	66	284
1	269	274
2	2021	254
0	8456	244

Stop Event

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

Counts

20 → 429

Calls

Call 1

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

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

eval414.0ms (3.9%)

Memory: -172.9MiB live, 309.6MiB allocated
Compiler: Compiled 21 699 to 2 314 computations (89.3% saved)

prune145.0ms (1.4%)

Memory

7.0MiB live, 375.0MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1 004	21	1 025
Fresh	12	6	18
Picked	2	3	5
Done	1	2	3
Total	1 019	32	1 051

Accuracy

91.2%

Counts

1 051 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.2%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	25.0%	(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))
	28.7%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	29.1%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b))) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))
	20.7%	(/.f64 #s(approx (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
✓	30.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
	28.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) b)))
▶	30.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)) a))
	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) c)))
▶	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 b (neg.f64 c))))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 a (neg.f64 b))))
▶	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))
	2.6%	(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (+ b (sqrt (+ ( c (* a -4)) (* b b))))) (/.f64 #s(literal 1/2 binary64) b)) a))
	11.5%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) c) b)))
	30.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b))
✓	49.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
✓	36.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.4%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	11.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (.f64 #s(approx (- (/ 1 a) (/ c ( b b))) (/.f64 (neg.f64 c) (*.f64 b b))) (neg.f64 b)))
▶	35.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
▶	11.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 c b)))
	35.6%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a))))
	27.9%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 c a))))))
	25.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
	2.0%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 a a)))
✓	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	6.4%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 853 to 537 computations (37% saved)

simplify164.0ms (1.5%)

Memory

-9.7MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4 926×	`lower-fma.f64`
4 926×	`lower-fma.f32`
3 252×	`lower-*.f32`
3 244×	`lower-*.f64`
1 956×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	413
0	71	416
1	119	412
2	220	412
3	478	403
4	1122	383
5	3510	383
6	6880	383
0	8192	369

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1.6%)

Memory

-2.4MiB live, 242.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.426239600172006	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)) a)
accuracy	14.168911774626082	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)
accuracy	25.860696067451798	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))
accuracy	40.85479411107203	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))
accuracy	0	#s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))
accuracy	2.8934255402488027	(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
accuracy	5.174862458614906	(*.f64 a (/.f64 c b))
accuracy	41.227382544785264	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
accuracy	0	(/.f64 b (neg.f64 c))
accuracy	0	(neg.f64 c)
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 b (neg.f64 c))))
accuracy	40.551430159172504	#s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 b (neg.f64 c)))
accuracy	0	(/.f64 c b)
accuracy	41.227382544785264	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 c b)))
accuracy	42.462797659810555	#s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 c b))
accuracy	0	(/.f64 a b)
accuracy	0.01171875	(-.f64 (/.f64 a b) (/.f64 b c))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))
accuracy	40.51730011684716	#s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))

Samples

44.0ms	169×	0	valid
27.0ms	37×	2	valid
24.0ms	40×	1	valid
8.0ms	10×	3	valid

Compiler

Compiled 299 to 43 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 26.0ms (34.8% of total)

ival-mult: 16.0ms (21.4% of total)

ival-sub: 11.0ms (14.7% of total)

ival-sqrt: 9.0ms (12.1% of total)

adjust: 7.0ms (9.4% of total)

ival-add: 4.0ms (5.4% of total)

ival-neg: 2.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory

-2.9MiB live, 39.8MiB allocated

Counts

22 → 732

Calls

Call 1

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

Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
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#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>

Calls

183 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(/ 2 (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	b	@	0	(/ 2 (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	c	@	-inf	(/ 2 (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	c	@	inf	(/ 2 (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	b	@	inf	(/ 2 (- (sqrt (- (* b b) (* (* 4 a) c))) b))

simplify412.0ms (3.9%)

Memory

13.9MiB live, 495.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 520×	`lower-fma.f64`
7 520×	`lower-fma.f32`
7 004×	`lower-*.f64`
7 004×	`lower-*.f32`
5 340×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1069	13869
1	3604	13296
0	8137	12862

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 729

Calls

Call 1

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

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

rewrite280.0ms (2.6%)

Memory

1.1MiB live, 381.8MiB allocated

Rules

4 984×	`lower-/.f32`
4 966×	`lower-/.f64`
4 090×	`lower-fma.f64`
4 090×	`lower-fma.f32`
3 782×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	381
0	71	381
1	306	377
2	2631	357
0	8519	345

Stop Event

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

Counts

22 → 560

Calls

Call 1

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

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

eval214.0ms (2%)

Memory: 35.9MiB live, 337.4MiB allocated
Compiler: Compiled 28 293 to 2 866 computations (89.9% saved)

prune215.0ms (2%)

Memory

3.1MiB live, 395.8MiB allocated

Pruning

38 alts after pruning (28 fresh and 10 done)

	Pruned	Kept	Total
New	1 337	9	1 346
Fresh	3	19	22
Picked	0	5	5
Done	0	5	5
Total	1 340	38	1 378

Accuracy

91.2%

Counts

1 378 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.9%	(pow.f64 (.f64 #s(approx (/ ( a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) #s(literal -1/2 binary64))
	30.2%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	25.0%	(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))
	28.7%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	29.1%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b))) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))
	20.7%	(/.f64 #s(approx (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
✓	30.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
	28.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) b)))
✓	30.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)) a))
	35.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 2 (- (sqrt (- ( b b) (* (* 4 a) c))) b)) (/.f64 #s(literal -1 binary64) b)) a))
	27.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 2 (- (sqrt (- ( b b) (* (* 4 a) c))) b)) (neg.f64 (/.f64 b (*.f64 c a)))) a))
	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c)))
✓	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 b (neg.f64 c))))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 a (neg.f64 b))))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (/.f64 #s(literal -1 binary64) (/.f64 c b))))
✓	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))
	17.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))) (/.f64 b c))))
	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) #s(approx (- (/ a b) (/ b c)) (/.f64 a b))))
	2.6%	(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (+ b (sqrt (+ ( c (* a -4)) (* b b))))) (/.f64 #s(literal 1/2 binary64) b)) a))
	11.5%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) c) b)))
	30.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b))
✓	49.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
✓	36.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.4%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	11.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (.f64 #s(approx (- (/ 1 a) (/ c ( b b))) (/.f64 (neg.f64 c) (*.f64 b b))) (neg.f64 b)))
✓	35.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
✓	11.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (/.f64 c b)))
	35.6%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a))))
	11.5%	#s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (*.f64 (/.f64 #s(literal 1 binary64) b) c)))
	25.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
	2.0%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 a a)))
✓	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	6.4%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 432 to 566 computations (60.5% saved)

regimes103.0ms (1%)

Memory

-8.1MiB live, 169.6MiB allocated

Counts

69 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

36.0ms	b
23.0ms	c
20.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
19.0ms	a

Results

Accuracy	Segments	Branch
49.7%	1	`a`
86.1%	3	`b`
49.7%	1	`c`
75.4%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes21.0ms (0.2%)

Memory

-6.9MiB live, 30.9MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-1.4MiB live, 35.0MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
83.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-7.1MiB live, 30.0MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
83.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

3.7MiB live, 51.3MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	b
9.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
53.8%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
69.8%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory

-9.8MiB live, 28.3MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
69.7%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
69.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

-19.3MiB live, 18.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	a
2.0ms	c
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
35.4%	1	`a`
35.4%	1	`c`
35.4%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
43.9%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
11.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
11.5%	1	`a`
11.5%	1	`c`
11.5%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
2.6%	1	`b`
2.6%	1	`a`
2.6%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch51.0ms (0.5%)

Memory

2.8MiB live, 40.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
44.0ms	5.793354933850085e-18	2.8406695952918943e-16
4.0ms	-2.392447396447242e+110	-1.5905372021120649e+93

Samples

26.0ms	12×	0	invalid
6.0ms	84×	0	valid
5.0ms	27×	2	valid
4.0ms	33×	1	valid

Compiler

Compiled 328 to 230 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (32.9% of total)

ival-div: 2.0ms (16.5% of total)

ival-sqrt: 2.0ms (16.5% of total)

adjust: 1.0ms (8.2% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

ival-neg: 1.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory

1.3MiB live, 40.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
26.0ms	-435065468192260860.0	-235380141319.60236

Samples

19.0ms	144×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 569 to 372 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sqrt: 9.0ms (54.3% of total)

ival-mult: 4.0ms (24.1% of total)

ival-div: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch98.0ms (0.9%)

Memory

-3.2MiB live, 72.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	5.793354933850085e-18	2.8406695952918943e-16
39.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Samples

70.0ms	196×	0	valid
5.0ms	65×	0	invalid
5.0ms	24×	2	valid
3.0ms	20×	1	valid

Compiler

Compiled 570 to 377 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sub: 41.0ms (55.5% of total)

ival-mult: 23.0ms (31.2% of total)

ival-sqrt: 3.0ms (4.1% of total)

ival-div: 2.0ms (2.7% of total)

ival-add: 2.0ms (2.7% of total)

adjust: 1.0ms (1.4% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 570 to 377 computations (33.9% saved)

bsearch107.0ms (1%)

Memory

-33.7MiB live, 50.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
65.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Samples

52.0ms	160×	0	valid
6.0ms	73×	0	invalid

Compiler

Compiled 293 to 180 computations (38.6% saved)

Precisions

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

ival-neg: 41.0ms (79.1% of total)

ival-mult: 5.0ms (9.6% of total)

ival-div: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

ival-sqrt: 1.0ms (1.9% 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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 243 to 150 computations (38.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 203 to 140 computations (31% saved)

bsearch27.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.0654626666657056e+28	2.3300519787616564e+32

Samples

10.0ms	52×	2	valid
4.0ms	46×	0	valid
3.0ms	26×	1	valid
1.0ms	13×	0	invalid
1.0ms	4×	3	valid

Compiler

Compiled 159 to 108 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (28.9% of total)

ival-div: 2.0ms (14.5% of total)

adjust: 2.0ms (14.5% of total)

ival-sqrt: 2.0ms (14.5% of total)

ival-sub: 1.0ms (7.2% of total)

ival-add: 1.0ms (7.2% of total)

ival-neg: 1.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
32×	`+-commutative_binary64`
30×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	613
1	137	612
2	173	612
3	191	612
4	201	612
5	203	612

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4867778304876401/324518553658426726783156020576256 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -430000000000000000 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 4867778304876401/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ ( a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 379999999999999970964410466304 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 c b)))
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 c b))
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4867778304876401/324518553658426726783156020576256 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4867778304876401/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal 4 binary64) a)))) b) (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -430000000000000000 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 4867778304876401/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ ( a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* c (* a -4)) (* b b)) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) #s(approx (* (- (/ 1 a) (/ c (* b b))) (neg b)) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal 379999999999999970964410466304 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 c b)))
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 c b))
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

soundness1.1s (10.2%)

Memory

18.4MiB live, 843.1MiB allocated

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
8 784×	`lower-fma.f64`
8 784×	`lower-fma.f32`
7 838×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1077	10430
1	3607	10073
0	8445	9704
0	43	264
0	67	245
1	237	232
2	1846	223
0	8854	223
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	1254	14372
1	4168	14030
0	8950	13463
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

Stop Event

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

Compiler

Compiled 959 to 417 computations (56.5% saved)

preprocess77.0ms (0.7%)

Memory: -6.6MiB live, 184.3MiB allocated
Compiler: Compiled 628 to 206 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze378.0ms (3.6%)

sample1.9s (18.2%)

explain183.0ms (1.7%)

preprocess141.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify84.0ms (0.8%)

localize61.0ms (0.6%)

series23.0ms (0.2%)

simplify352.0ms (3.3%)

rewrite336.0ms (3.2%)

eval81.0ms (0.8%)

prune92.0ms (0.9%)

simplify289.0ms (2.7%)

localize220.0ms (2.1%)

series107.0ms (1%)

simplify358.0ms (3.4%)

rewrite366.0ms (3.5%)

eval268.0ms (2.5%)

prune375.0ms (3.5%)

simplify217.0ms (2%)

localize245.0ms (2.3%)

series91.0ms (0.9%)

simplify356.0ms (3.4%)

rewrite264.0ms (2.5%)

eval414.0ms (3.9%)

prune145.0ms (1.4%)

simplify164.0ms (1.5%)

localize173.0ms (1.6%)

series50.0ms (0.5%)

simplify412.0ms (3.9%)

rewrite280.0ms (2.6%)

eval214.0ms (2%)

prune215.0ms (2%)

regimes103.0ms (1%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes24.0ms (0.2%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes26.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch51.0ms (0.5%)

bsearch29.0ms (0.3%)

bsearch98.0ms (0.9%)

bsearch2.0ms (0%)

bsearch107.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch27.0ms (0.3%)

simplify13.0ms (0.1%)

soundness1.1s (10.2%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling