Metrics for quadm (p42, negative)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze202.0ms (2.7%)

Memory

-15.0MiB live, 224.2MiB 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)

sample1.5s (20.6%)

Memory

67.9MiB live, 1 564.5MiB allocated

Samples

558.0ms	5 610×	0	valid
247.0ms	1 152×	2	valid
199.0ms	1 327×	1	valid
81.0ms	984×	0	invalid
43.0ms	167×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 805.0ms

ival-mult: 279.0ms (34.6% of total)

ival-sqrt: 132.0ms (16.4% of total)

ival-sub: 125.0ms (15.5% of total)

ival-div: 89.0ms (11.1% of total)

ival-neg: 85.0ms (10.6% of total)

adjust: 77.0ms (9.6% of total)

exact: 9.0ms (1.1% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain190.0ms (2.6%)

Memory

0.9MiB live, 239.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
103	-	1	(-1.2674375808388578e-223 3.1054289358304114e-165 2.890469891621287e-100)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
43	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
12	-	2	(-9.603837598455884e-70 -3.3691654402338474e+214 -2.7102443111622956e-29)	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
3	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	-	0	-	`a`
0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`#s(literal 4 binary64)`
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	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	92	0
↳	`(*.f64 b b)`	overflow	72
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	28
↳	`(*.f64 a c)`	overflow	28
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	92
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	43	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	10	0
↳	`(*.f64 b b)`	underflow	45
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	42
↳	`(*.f64 a c)`	underflow	42
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	10
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	9	0
↳	`(*.f64 b b)`	underflow	45
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	19
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	42
↳	`(*.f64 a c)`	underflow	42
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	10
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	72
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	28
↳	`(*.f64 a c)`	overflow	28
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	n/o	1	0
↳	`(*.f64 #s(literal 2 binary64) a)`	overflow	1

Confusion

	Predicted +	Predicted -
+	116	1
-	14	125

Precision

0.8923076923076924

Recall

0.9914529914529915

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	1
-	14	0	125

Precision?

0.8923076923076924

Recall?

0.9914529914529915

Freqs

test

number	freq
0	126
1	102
2	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	390×	0	valid
12.0ms	56×	2	valid
9.0ms	56×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 12.0ms (32.5% of total)

ival-sub: 8.0ms (21.7% of total)

ival-div: 5.0ms (13.5% of total)

ival-sqrt: 5.0ms (13.5% of total)

adjust: 4.0ms (10.8% of total)

ival-neg: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

preprocess39.0ms (0.5%)

Memory

-9.7MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	164	151
2	414	151
3	836	151
4	1096	151
5	1233	151
6	1312	151
7	1326	151
0	14	17
0	23	17
1	43	17
2	91	17
3	170	17
4	253	17
5	304	17
6	314	17
7	342	17
8	378	17
9	405	17
0	405	16

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify10.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.3%)

Memory

-75.2MiB live, 57.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.5976562500000001	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	2.5991997418949375	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
accuracy	9.771533448378817	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	24.13003258173069	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

18.0ms	195×	0	valid
7.0ms	28×	1	valid
6.0ms	28×	2	valid
1.0ms	5×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 6.0ms (30.3% of total)

adjust: 4.0ms (20.2% of total)

ival-sub: 3.0ms (15.2% of total)

ival-div: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-neg: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

5 → 99

Calls

Call 1

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

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

Calls

9 calls:

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

simplify176.0ms (2.4%)

Memory

33.6MiB live, 251.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

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

rewrite236.0ms (3.2%)

Memory

-5.6MiB live, 183.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46

Stop Event

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

Counts

5 → 268

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
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(/.f64 (hypot.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))
(/.f64 (hypot.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(exp.f64 (.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))

eval45.0ms (0.6%)

Memory: 16.8MiB live, 61.8MiB allocated
Compiler: Compiled 13 820 to 1 736 computations (87.4% saved)

prune17.0ms (0.2%)

Memory

-10.8MiB live, 35.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	349	16	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	16	366

Accuracy

89.8%

Counts

366 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	33.9%	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
▶	30.4%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	23.4%	(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
▶	55.9%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	46.1%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (.f64 #s(literal 2 binary64) a))
	37.6%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	29.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	55.9%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	20.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
▶	55.8%	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	17.2%	(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
	39.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	37.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	39.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	26.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Compiler

Compiled 762 to 528 computations (30.7% saved)

simplify132.0ms (1.8%)

Memory

-0.5MiB live, 144.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
cost-diff	6	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	7	(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
cost-diff	4	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	343
0	67	334
1	126	334
2	269	319
3	803	311
4	2619	307
5	7257	307
0	8004	307

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (2.7%)

Memory

-17.5MiB live, 169.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	16.159341354034407	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	17.445049522572237	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
accuracy	24.13003258173069	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	35.94242945290307	(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0.34157514982455706	(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
accuracy	0.603847509768442	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	12.536501648485592	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
accuracy	24.13003258173069	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	2.5991997418949375	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
accuracy	9.771533448378817	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
accuracy	21.827662164917047	#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
accuracy	24.13003258173069	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
accuracy	0.0	(/.f64 c (neg.f64 b))
accuracy	0.0	(neg.f64 b)
accuracy	47.27543932464571	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.0	(neg.f64 b)
accuracy	2.5991997418949375	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy	9.771533448378817	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	24.13003258173069	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

102.0ms	69×	2	valid
32.0ms	73×	1	valid
23.0ms	99×	0	valid
11.0ms	15×	3	valid

Compiler

Compiled 343 to 38 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

adjust: 38.0ms (35.8% of total)

ival-div: 19.0ms (17.9% of total)

ival-add: 17.0ms (16% of total)

ival-mult: 15.0ms (14.1% of total)

ival-sqrt: 8.0ms (7.5% of total)

ival-sub: 7.0ms (6.6% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.8%)

Memory

34.4MiB live, 77.2MiB allocated

Counts

18 → 220

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	-inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
11.0ms	c	@	inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	a	@	inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
6.0ms	b	@	inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
5.0ms	a	@	-inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify246.0ms (3.3%)

Memory

-20.2MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1282	8989
1	4599	8816
0	8893	8412

Stop Event

1×	iter limit
1×	node limit

Counts

220 → 219

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 a c) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 c b))) a (.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(* -1/2 (/ b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a)) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -1 (pow b 2)) (pow b 2))
(.f64 #s(literal 0 binary64) (.f64 b b))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(fma.f64 #s(literal 0 binary64) (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 a c)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) #s(literal 1/2 binary64))) a (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) b) (.f64 c c)) #s(literal 1/8 binary64)))) a (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))))) a (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) #s(literal 1/2 binary64))) a (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(.f64 (/.f64 #s(literal 1/2 binary64) c) (.f64 b (.f64 #s(literal 0 binary64) (/.f64 (.f64 b b) a))))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
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(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
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(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a)))) c) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a)))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a))))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a)))))))) (.f64 (/.f64 (.f64 (.f64 (.f64 b b) c) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a))))) a) #s(literal -1/8 binary64))) c) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 b (/.f64 c a))))))) #s(literal -1/2 binary64))) (neg.f64 c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c))) #s(literal -2 binary64) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (*.f64 c b)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 c b))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64)))) (.f64 c b)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 c b)))))) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 c b)) (.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 c b)))))) c) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -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))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite210.0ms (2.8%)

Memory

24.7MiB live, 213.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	254
0	67	245
1	266	245
2	1873	245
0	8581	245

Stop Event

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

Counts

18 → 571

Calls

Call 1

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

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

eval117.0ms (1.6%)

Memory: 24.1MiB live, 157.2MiB allocated
Compiler: Compiled 44 978 to 4 250 computations (90.6% saved)

prune41.0ms (0.5%)

Memory

-35.1MiB live, 63.1MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	980	13	993
Fresh	4	7	11
Picked	2	3	5
Done	0	0	0
Total	986	23	1 009

Accuracy

89.8%

Counts

1 009 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
▶	33.9%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
	24.7%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
	30.5%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
	12.8%	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
	23.4%	(/.f64 (-.f64 (neg.f64 b) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))))))) (.f64 #s(literal 2 binary64) a))
	28.8%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
✓	55.9%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	27.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	37.6%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	29.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
▶	55.9%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	20.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
	20.1%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
▶	37.6%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	5.7%	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	17.2%	(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
	39.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	37.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
▶	39.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	26.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	39.4%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
▶	38.6%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))

Compiler

Compiled 1 165 to 772 computations (33.7% saved)

simplify84.0ms (1.1%)

Memory

2.3MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64))
cost-diff	4	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
cost-diff	5	(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b))
cost-diff	0	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
cost-diff	0	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
cost-diff	0	(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (*.f64 #s(literal -2 binary64) a))
cost-diff	4	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(/.f64 c (*.f64 b b))
cost-diff	0	(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	341
0	78	322
1	150	321
2	325	319
3	945	315
4	3687	315
0	8078	315

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.4%)

Memory

19.7MiB live, 206.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.603847509768442	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
accuracy	14.013119427284407	(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b))
accuracy	24.13003258173069	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
accuracy	31.146945504381982	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
accuracy	0.34157514982455706	(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (*.f64 #s(literal -2 binary64) a))
accuracy	12.536501648485592	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
accuracy	24.13003258173069	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
accuracy	36.17596919127284	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
accuracy	0.0078125	(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
accuracy	6.181276063870538	(/.f64 c (*.f64 b b))
accuracy	7.411791721909331	(.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
accuracy	38.77270489797746	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
accuracy	0.0	(/.f64 (neg.f64 b) a)
accuracy	0.0	(neg.f64 b)
accuracy	38.58592252028386	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.603847509768442	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
accuracy	2.5991997418949375	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	9.771533448378817	(+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
accuracy	24.13003258173069	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))

Samples

64.0ms	195×	0	valid
32.0ms	30×	2	valid
18.0ms	23×	1	valid
8.0ms	8×	3	valid

Compiler

Compiled 313 to 50 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 23.0ms (26% of total)

ival-div: 19.0ms (21.5% of total)

ival-sub: 14.0ms (15.8% of total)

adjust: 12.0ms (13.6% of total)

ival-sqrt: 9.0ms (10.2% of total)

ival-add: 9.0ms (10.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series50.0ms (0.7%)

Memory

-17.3MiB live, 39.8MiB allocated

Counts

18 → 201

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	c	@	inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) -2))
4.0ms	c	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) -2))
3.0ms	b	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) -2))
3.0ms	b	@	inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) -2))
3.0ms	b	@	0	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* a c) -4) (* b b))) -2))

simplify243.0ms (3.3%)

Memory

31.7MiB live, 258.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	846	5792
1	3134	5714
0	9158	5413

Stop Event

1×	iter limit
1×	node limit

Counts

201 → 200

Calls

Call 1

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

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

rewrite280.0ms (3.8%)

Memory

-39.5MiB live, 313.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	255
0	78	245
1	319	243
2	2073	243
0	8718	241

Stop Event

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

Counts

18 → 812

Calls

Call 1

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

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

eval141.0ms (1.9%)

Memory: 9.6MiB live, 192.3MiB allocated
Compiler: Compiled 46 631 to 3 902 computations (91.6% saved)

prune34.0ms (0.5%)

Memory

2.6MiB live, 96.4MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 149	10	1 159
Fresh	6	9	15
Picked	2	3	5
Done	2	1	3
Total	1 159	23	1 182

Accuracy

89.8%

Counts

1 182 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (/.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	22.8%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
	24.7%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
	30.5%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
	23.4%	(/.f64 (-.f64 (neg.f64 b) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))))))) (.f64 #s(literal 2 binary64) a))
	27.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
✓	55.9%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
▶	40.9%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (.f64 b b)))) b) (.f64 #s(literal -2 binary64) a))
	37.6%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b) (*.f64 #s(literal -2 binary64) a))
▶	29.5%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))
	20.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
	20.1%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
✓	37.6%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	35.7%	(+.f64 (/.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	17.2%	(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
▶	32.0%	(.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b) (.f64 a a)))
	37.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
✓	39.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	26.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	39.4%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
	39.6%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 #s(approx (- (/ c ( b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
▶	8.8%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
▶	11.1%	#s(approx (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b)))

Compiler

Compiled 1 203 to 806 computations (33% saved)

simplify108.0ms (1.4%)

Memory

3.3MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b) (*.f64 a a))
cost-diff	0	(/.f64 a #s(literal -2 binary64))
cost-diff	3	(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b)
cost-diff	4	(.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b) (.f64 a a)))
cost-diff	0	(.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b))
cost-diff	0	#s(approx (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b)))
cost-diff	2	(+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (.f64 b b)))
cost-diff	4	(/.f64 #s(literal 0 binary64) (*.f64 a a))
cost-diff	0	#s(approx (+ (* (* a c) -4) (* b b)) (*.f64 b b))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
cost-diff	0	#s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (.f64 b b)))) b) (.f64 #s(literal -2 binary64) a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	466
0	97	438
1	194	427
2	512	411
3	1939	410
4	7472	410
0	8159	410

Stop Event

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

Calls

Call 1

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

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

localize358.0ms (4.8%)

Memory

-24.8MiB live, 228.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	9.771533448378817	(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b)
accuracy	14.173533101706646	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b) (*.f64 a a))
accuracy	17.33081583441682	(.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b) (.f64 a a)))
accuracy	24.13003258173069	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	6.181276063870538	(/.f64 c (*.f64 b b))
accuracy	17.541185396482945	(.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b))
accuracy	20.179574665606765	(/.f64 #s(literal 0 binary64) (*.f64 a a))
accuracy	47.27543932464571	#s(approx (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b)))
accuracy	2.5991997418949375	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))
accuracy	9.771533448378817	(+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 b b))) b)
accuracy	21.827662164917047	#s(approx (+ (* (* a c) -4) (* b b)) (*.f64 b b))
accuracy	24.13003258173069	(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 b b)))
accuracy	0.0	(/.f64 c b)
accuracy	38.660553272658476	#s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b))
accuracy	38.77270489797746	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
accuracy	2.5991997418949375	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (.f64 b b)))) b) (.f64 #s(literal -2 binary64) a))
accuracy	9.730654811782575	(.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))
accuracy	9.771533448378817	(+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) b)
accuracy	24.13003258173069	(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))

Samples

92.0ms	27×	2	valid
89.0ms	195×	0	valid
18.0ms	26×	1	valid
8.0ms	8×	3	valid

Compiler

Compiled 368 to 56 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-sqrt: 73.0ms (40.4% of total)

ival-mult: 57.0ms (31.5% of total)

ival-div: 22.0ms (12.2% of total)

ival-add: 14.0ms (7.7% of total)

adjust: 7.0ms (3.9% of total)

ival-neg: 4.0ms (2.2% of total)

ival-sub: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series29.0ms (0.4%)

Memory

36.4MiB live, 36.4MiB allocated

Counts

22 → 139

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
0
(/ c (pow b 2))
(* -1 (/ c b))
(* -1/2 a)
(* 2 (/ b (pow a 2)))
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) (pow a 2))
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (pow a 2))
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (pow a 2))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* (sqrt (/ c (pow a 3))) (sqrt -4))
(/ (+ (* (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)))) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -2 (* (sqrt (/ c (pow a 3))) (sqrt -1)))
(* -1 (/ (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) a))
(* -1 (/ (+ (* -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)))) a))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 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)))))))))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(+ (* (sqrt (/ c (pow a 3))) (sqrt -4)) (/ b (pow a 2)))
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ b (sqrt -4)))) (/ 1 (pow a 2)))) (* (sqrt (/ c (pow a 3))) (sqrt -4)))
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))))) (/ 1 (pow a 2)))) (* (sqrt (/ c (pow a 3))) (sqrt -4)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (+ (* -2 (/ c (* a (pow b 2)))) (* 2 (/ 1 (pow a 2)))))
(* b (+ (* -2 (/ c (* a (pow b 2)))) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 2 (/ 1 (pow a 2))))))
(* b (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (+ (* -2 (/ c (* a (pow b 2)))) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 2 (/ 1 (pow a 2)))))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* 2 (/ c (* a b)))
(* -1 (/ (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (+ (* -2 (/ c 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 a 2) (pow b 6))))))) b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* -2 (/ c (* a b))) (* 2 (/ b (pow a 2))))
(+ (* 2 (/ b (pow a 2))) (* c (- (* -2 (/ c (pow b 3))) (* 2 (/ 1 (* a b))))))
(+ (* 2 (/ b (pow a 2))) (* c (- (* c (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) (* 2 (/ 1 (* a b))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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)))))
(* 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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)) (/ b (* (pow a 2) c))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)) (/ b (* (pow a 2) c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)) (/ b (* (pow a 2) c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* 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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* (pow a 2) c))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (/ b (pow a 2))) c)) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1))))) c)) (/ b (pow a 2))) c)) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (/ c b) (/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 (* a a)) (+ (/ 0 (* a a)) (/ c (* b b))) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (* (+ (/ 0 (* a a)) (/ c (* b b))) (neg b)) (* (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b)) (/ c (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	c	@	inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (/ c b) (/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 (* a a)) (+ (/ 0 (* a a)) (/ c (* b b))) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (* (+ (/ 0 (* a a)) (/ c (* b b))) (neg b)) (* (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b)) (/ c (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	a	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (/ c b) (/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 (* a a)) (+ (/ 0 (* a a)) (/ c (* b b))) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (* (+ (/ 0 (* a a)) (/ c (* b b))) (neg b)) (* (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b)) (/ c (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	b	@	0	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (/ c b) (/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 (* a a)) (+ (/ 0 (* a a)) (/ c (* b b))) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (* (+ (/ 0 (* a a)) (/ c (* b b))) (neg b)) (* (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b)) (/ c (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	b	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (/ c b) (/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 (* a a)) (+ (/ 0 (* a a)) (/ c (* b b))) (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (* (+ (/ 0 (* a a)) (/ c (* b b))) (neg b)) (* (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (/ a -2) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b)) (/ c (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))

simplify357.0ms (4.8%)

Memory

3.0MiB live, 231.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	3766
1	2397	3716
0	8838	3517

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 138

Calls

Call 1

Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
0
(/ c (pow b 2))
(* -1 (/ c b))
(* -1/2 a)
(* 2 (/ b (pow a 2)))
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) (pow a 2))
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (pow a 2))
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (pow a 2))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* (sqrt (/ c (pow a 3))) (sqrt -4))
(/ (+ (* (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)))) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -2 (* (sqrt (/ c (pow a 3))) (sqrt -1)))
(* -1 (/ (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) a))
(* -1 (/ (+ (* -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)))) a))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 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)))))))))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(+ (* (sqrt (/ c (pow a 3))) (sqrt -4)) (/ b (pow a 2)))
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ b (sqrt -4)))) (/ 1 (pow a 2)))) (* (sqrt (/ c (pow a 3))) (sqrt -4)))
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))))) (/ 1 (pow a 2)))) (* (sqrt (/ c (pow a 3))) (sqrt -4)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (+ (* -2 (/ c (* a (pow b 2)))) (* 2 (/ 1 (pow a 2)))))
(* b (+ (* -2 (/ c (* a (pow b 2)))) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 2 (/ 1 (pow a 2))))))
(* b (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (+ (* -2 (/ c (* a (pow b 2)))) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 2 (/ 1 (pow a 2)))))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* 2 (/ c (* a b)))
(* -1 (/ (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (+ (* -2 (/ c 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 a 2) (pow b 6))))))) b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* -2 (/ c (* a b))) (* 2 (/ b (pow a 2))))
(+ (* 2 (/ b (pow a 2))) (* c (- (* -2 (/ c (pow b 3))) (* 2 (/ 1 (* a b))))))
(+ (* 2 (/ b (pow a 2))) (* c (- (* c (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) (* 2 (/ 1 (* a b))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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)))))
(* 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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)) (/ b (* (pow a 2) c))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)) (/ b (* (pow a 2) c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)) (/ b (* (pow a 2) c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* 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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* (pow a 2) c))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (/ b (pow a 2))) c)) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1))))) c)) (/ b (pow a 2))) c)) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))

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

rewrite223.0ms (3%)

Memory

15.7MiB live, 245.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	377
0	97	349
1	388	338
2	2584	330
0	8746	326

Stop Event

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

Counts

22 → 596

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 #s(literal -4 binary64) a) b) #s(literal 1 binary64)) b) b))) a) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 b) a))) #s(literal -4 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 #s(literal -4 binary64) a) b) #s(literal 1 binary64)) b) b))) a) a (.f64 #s(literal -2 binary64) (/.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 #s(literal -4 binary64) a) b) #s(literal 1 binary64)) b) b))) a) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 4 binary64))
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(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(fma.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (.f64 b b) (.f64 b b))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (*.f64 b b)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (.f64 b b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(fma.f64 (.f64 b b) (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (.f64 b b))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (*.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (.f64 b b) (.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(fma.f64 b (fabs.f64 (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (*.f64 b b)))
(fma.f64 b (fabs.f64 (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (.f64 b b) (.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(fma.f64 b b (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (.f64 b b)))
(fma.f64 b b (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(+.f64 (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (.f64 b b)) (*.f64 b b))
(+.f64 (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 (.f64 (.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b)) (*.f64 b b)))
(+.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) (/.f64 a b))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (.f64 a a) c #s(literal 0 binary64)) (.f64 a a)))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 b) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 c (neg.f64 b)))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 c b) b))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)))))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (neg.f64 (/.f64 (/.f64 c b) b)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (neg.f64 (/.f64 (/.f64 c b) b)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (fma.f64 (.f64 a a) c #s(literal 0 binary64))))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (neg.f64 c)))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 b) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 c b)))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (/.f64 c b) b)) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64))))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 (/.f64 c b) b))))
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 c b) b) #s(literal 0 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (/.f64 c b) b) #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 3 binary64)))) (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) b) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 c))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (neg.f64 b) b)))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 a a) c #s(literal 0 binary64)))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) b (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 c b))) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) b))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) c)) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 (.f64 a a) c))) (pow.f64 (.f64 b a) #s(literal 4 binary64)))
(/.f64 (/.f64 (fma.f64 (.f64 a a) c #s(literal 0 binary64)) (.f64 a a)) (*.f64 b b))
(/.f64 (/.f64 c (neg.f64 b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (/.f64 (/.f64 c b) b))))
(/.f64 (pow.f64 (neg.f64 (/.f64 (/.f64 c b) b)) #s(literal 3 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) c #s(literal 0 binary64))) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 c b) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (/.f64 c b) b) #s(literal 0 binary64)))
(/.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (/.f64 (/.f64 c b) b))
(/.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b))
(/.f64 (fma.f64 (.f64 a a) c #s(literal 0 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 c b) b)
(/.f64 c (*.f64 b b))
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (/.f64 c b) b))) (/.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 c b) b))))
(+.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 c b) b))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a a) c) (pow.f64 (.f64 b a) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 c b) b) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) b))
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 (neg.f64 b) b)))))
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 (neg.f64 b) b))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 c a) #s(literal -4 binary64)) b) b)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) b) b)))))
(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))))

eval143.0ms (1.9%)

Memory: -48.7MiB live, 206.9MiB allocated
Compiler: Compiled 27 256 to 2 862 computations (89.5% saved)

prune47.0ms (0.6%)

Memory

10.9MiB live, 58.4MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	686	15	701
Fresh	4	10	14
Picked	2	3	5
Done	0	4	4
Total	692	32	724

Accuracy

89.8%

Counts

724 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (/.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	43.4%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 #s(literal -4 binary64) a) b) #s(literal 1 binary64)) b) b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
	1.7%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b)))) (.f64 #s(literal -2 binary64) a))
	24.7%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
	30.5%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
	23.4%	(/.f64 (+.f64 (+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ ( (* a c) -4) (* b b)) (.f64 b b)))))) b) (.f64 #s(literal -2 binary64) a))
✓	55.9%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	27.5%	(/.f64 (+.f64 (sqrt.f64 (exp.f64 (log.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a))
✓	40.9%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (.f64 b b)))) b) (.f64 #s(literal -2 binary64) a))
	44.3%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 #s(literal -4 binary64) a) b) #s(literal 1 binary64)) b) b))) b) (.f64 #s(literal -2 binary64) a))
	38.1%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b) (*.f64 #s(literal -2 binary64) a))
	37.6%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b) (*.f64 #s(literal -2 binary64) a))
✓	29.5%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))
	34.6%	(/.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64) b) a) (.f64 (*.f64 a a) #s(literal -2 binary64)))
	20.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
	20.1%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
✓	37.6%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	35.7%	(+.f64 (/.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	19.6%	(.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64)) a) (.f64 (neg.f64 a) a) (.f64 a (neg.f64 b))) (.f64 a (.f64 (neg.f64 a) a))))
	21.6%	(.f64 (/.f64 a #s(literal -2 binary64)) #s(approx (/ (+ ( (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a))) (neg.f64 b))))
	22.0%	(.f64 (/.f64 a #s(literal -2 binary64)) #s(approx (/ (+ ( (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (*.f64 (/.f64 (/.f64 c a) b) #s(literal 2 binary64))))
	25.1%	(.f64 (/.f64 a #s(literal -2 binary64)) #s(approx (/ (+ ( (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) -2) b) (* a a)) (.f64 (/.f64 b (.f64 a a)) #s(literal 2 binary64))))
	32.0%	(.f64 a (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64) b) (.f64 (*.f64 a a) #s(literal -2 binary64))))
	37.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
✓	39.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	26.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	39.4%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
	39.6%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 #s(approx (- (/ c ( b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
✓	8.8%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
	22.4%	#s(approx (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (/.f64 c b) b) (neg.f64 b)))
	4.3%	#s(approx (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) c)) (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 b b))) (neg.f64 b)))
	18.4%	#s(approx (/ (+ (* (/ (sqrt (+ (* (* a c) -4) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (.f64 (/.f64 c (.f64 b b)) (neg.f64 b)))

Compiler

Compiled 2 529 to 954 computations (62.3% saved)

regimes66.0ms (0.9%)

Memory

3.4MiB live, 148.9MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

17.0ms	c
17.0ms	a
15.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
13.0ms	b

Results

Accuracy	Segments	Branch
76.9%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
55.9%	1	`a`
84.3%	3	`b`
55.9%	1	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.4%)

Memory

-34.9MiB live, 12.5MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
80.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	b
4.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
50.7%	3	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
63.6%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
26.1%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
26.1%	1	`a`
26.1%	1	`c`
26.1%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
8.8%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
8.8%	1	`b`
8.8%	1	`a`
8.8%	1	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch57.0ms (0.8%)

Memory

-5.1MiB live, 41.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.3392010498033246e+59	1.9283958151211554e+65
21.0ms	-2.718044785964309e-38	-1.1039774866274305e-42

Samples

29.0ms	220×	0	valid
4.0ms	31×	1	valid
4.0ms	21×	2	valid
3.0ms	37×	0	invalid

Compiler

Compiled 666 to 564 computations (15.3% saved)

Precisions

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

ival-mult: 20.0ms (63.4% of total)

ival-sqrt: 3.0ms (9.5% of total)

ival-sub: 3.0ms (9.5% of total)

ival-div: 2.0ms (6.3% of total)

adjust: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% 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

4.8MiB live, 4.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3392010498033246e+59	1.9283958151211554e+65
1.0ms	-2.718044785964309e-38	-1.1039774866274305e-42

Compiler

Compiled 649 to 547 computations (15.7% saved)

bsearch61.0ms (0.8%)

Memory

-10.0MiB live, 33.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	2.0290974446710696e-9	5.919135578200099e-8
1.0ms	-2.718044785964309e-38	-1.1039774866274305e-42

Samples

44.0ms	15×	0	invalid
9.0ms	112×	0	valid

Compiler

Compiled 708 to 574 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 44.0ms (89.3% of total)

ival-mult: 3.0ms (6.1% of total)

ival-div: 1.0ms (2% of total)

ival-sqrt: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

28.9MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-3.711757821723487e-282	-3.3441933154839807e-284

Samples

8.0ms	112×	0	valid
3.0ms	35×	0	invalid

Compiler

Compiled 328 to 272 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (40.6% of total)

ival-sub: 1.0ms (13.5% of total)

ival-div: 1.0ms (13.5% of total)

ival-sqrt: 1.0ms (13.5% of total)

ival-neg: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify39.0ms (0.5%)

Memory

-17.6MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	316
1	122	316
2	222	316
3	369	316
4	516	316
5	610	316
6	680	316
7	748	316
8	804	316

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6200000000000000102956565111999202244194102147535722276882219008 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6200000000000000102956565111999202244194102147535722276882219008 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 3264099712959499/1208925819614629174706176 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -5692389475677045/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))

Outputs
(if (<=.f64 b #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6200000000000000102956565111999202244194102147535722276882219008 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6200000000000000102956565111999202244194102147535722276882219008 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 3264099712959499/1208925819614629174706176 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -5692389475677045/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))

soundness1.2s (15.9%)

Memory

-20.5MiB live, 453.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	846	5792
1	3134	5714
0	9158	5413
0	1282	8989
1	4599	8816
0	8893	8412
0	41	254
0	67	245
1	266	245
2	1873	245
0	8581	245
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563

Stop Event

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

Compiler

Compiled 464 to 199 computations (57.1% saved)

preprocess104.0ms (1.4%)

Memory: 32.0MiB live, 131.7MiB allocated
Compiler: Compiled 876 to 236 computations (73.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Iter	Nodes	Cost
0	74	316
1	122	316
2	222	316
3	369	316
4	516	316
5	610	316
6	680	316
7	748	316
8	804	316

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Iter	Nodes	Cost
0	74	316
1	122	316
2	222	316
3	369	316
4	516	316
5	610	316
6	680	316
7	748	316
8	804	316

start0.0ms (0%)

analyze202.0ms (2.7%)

sample1.5s (20.6%)

explain190.0ms (2.6%)

preprocess39.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.1%)

localize99.0ms (1.3%)

series22.0ms (0.3%)

simplify176.0ms (2.4%)

rewrite236.0ms (3.2%)

eval45.0ms (0.6%)

prune17.0ms (0.2%)

simplify132.0ms (1.8%)

localize202.0ms (2.7%)

series62.0ms (0.8%)

simplify246.0ms (3.3%)

rewrite210.0ms (2.8%)

eval117.0ms (1.6%)

prune41.0ms (0.5%)

simplify84.0ms (1.1%)

localize175.0ms (2.4%)

series50.0ms (0.7%)

simplify243.0ms (3.3%)

rewrite280.0ms (3.8%)

eval141.0ms (1.9%)

prune34.0ms (0.5%)

simplify108.0ms (1.4%)

localize358.0ms (4.8%)

series29.0ms (0.4%)

simplify357.0ms (4.8%)

rewrite223.0ms (3%)

eval143.0ms (1.9%)

prune47.0ms (0.6%)

regimes66.0ms (0.9%)

regimes7.0ms (0.1%)

regimes27.0ms (0.4%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch57.0ms (0.8%)

bsearch2.0ms (0%)

bsearch61.0ms (0.8%)

bsearch19.0ms (0.2%)

simplify39.0ms (0.5%)

soundness1.2s (15.9%)

preprocess104.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Iter	Nodes	Cost
0	74	316
1	122	316
2	222	316
3	369	316
4	516	316
5	610	316
6	680	316
7	748	316
8	804	316