Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze160.0ms (2.1%)

Memory

16.7MiB live, 202.4MiB 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
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.4s (19.1%)

Memory

0.2MiB live, 1 402.1MiB allocated

Samples

411.0ms	5 583×	0	valid
226.0ms	1 208×	2	valid
200.0ms	1 309×	1	valid
79.0ms	1 157×	0	invalid
40.0ms	156×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 649.0ms

ival-mult: 146.0ms (22.5% of total)

ival-sqrt: 116.0ms (17.9% of total)

ival-div: 96.0ms (14.8% of total)

ival-sub: 88.0ms (13.6% of total)

adjust: 74.0ms (11.4% of total)

ival-add: 64.0ms (9.9% of total)

ival-neg: 54.0ms (8.3% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain146.0ms (2%)

Memory

24.5MiB live, 172.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
97	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
64	1	(-1.8776790741600796e-193 1.8851460715477772e-112 1.311445951459735e-241)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
15	0	-	4	(-1.8776790741600796e-193 1.8851460715477772e-112 1.311445951459735e-241)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	93	0
↳	`(*.f64 b_2 b_2)`	overflow	74
↳	`(*.f64 a c)`	overflow	28
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	93
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	65	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	11	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	18
↳	`(*.f64 a c)`	underflow	37
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(*.f64 a c)`	underflow	37
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	74
↳	`(*.f64 a c)`	overflow	28

Confusion

	Predicted +	Predicted -
+	125	0
-	18	113

Precision

0.8741258741258742

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	18	0	113

Precision?

0.8741258741258742

Recall?

1.0

Freqs

test

number	freq
0	113
1	110
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	86×	2	valid
25.0ms	346×	0	valid
10.0ms	74×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 10.0ms (26.1% of total)

ival-mult: 7.0ms (18.3% of total)

ival-sqrt: 6.0ms (15.7% of total)

ival-div: 5.0ms (13.1% of total)

adjust: 4.0ms (10.5% of total)

ival-add: 3.0ms (7.8% of total)

ival-neg: 2.0ms (5.2% of total)

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

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

preprocess27.0ms (0.4%)

Memory

-12.1MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2)) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	50
2	53	50
3	98	50
4	133	50
5	145	50
6	157	50
7	170	50
0	170	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2)) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize36.0ms (0.5%)

Memory

14.3MiB live, 61.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.5976562500000001	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.036960670013938	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	14.741868926769424	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	22.626918277796815	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

14.0ms	173×	0	valid
8.0ms	43×	2	valid
5.0ms	37×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 5.0ms (28.7% of total)

ival-sqrt: 3.0ms (17.2% of total)

ival-sub: 2.0ms (11.5% of total)

ival-div: 2.0ms (11.5% of total)

adjust: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

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

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

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

series22.0ms (0.3%)

Memory

-14.6MiB live, 32.6MiB allocated

Counts

5 → 98

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify168.0ms (2.2%)

Memory

-4.5MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2820
1	1757	2792
2	7361	2792
0	8084	2654

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
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b_2
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(* -1 b_2)
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(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (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_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (pow.f64 b_2 #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 -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #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 -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (neg.f64 c) (fma.f64 (.f64 b_2 (/.f64 b_2 c)) #s(literal -1 binary64) a))

rewrite199.0ms (2.7%)

Memory

-38.5MiB live, 142.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	58	41
2	426	41
3	4925	38
0	9525	34

Stop Event

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

Counts

5 → 271

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a))
(.f64 (/.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2)) a) a)
(/.f64 (-.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2))) (neg.f64 (*.f64 a a)))
(/.f64 (-.f64 (.f64 b_2 (neg.f64 a)) (.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (.f64 a a))
(/.f64 (-.f64 (.f64 b_2 (neg.f64 a)) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a)) (.f64 a (neg.f64 a)))
(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a)) (.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 a) (.f64 (neg.f64 a) b_2)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 a) (.f64 a b_2)) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 b_2 (neg.f64 a) (.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (*.f64 a a))
(/.f64 (fma.f64 a b_2 (.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 b_2 (neg.f64 a) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a)))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) a))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)) (/.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(-.f64 (/.f64 (.f64 b_2 b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) a) (/.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) a))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (neg.f64 a)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(+.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a b_2) (.f64 a a)) (/.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (*.f64 a a)))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(+.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) a) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))
(+.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 a)) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)))
(+.f64 (/.f64 (.f64 b_2 b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
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(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 (.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 b_2 (/.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)
(-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(+.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)
(+.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
(pow.f64 (sqrt.f64 b_2) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 1 binary64))
(pow.f64 (*.f64 b_2 b_2) #s(literal 1/2 binary64))
(pow.f64 b_2 #s(literal 1 binary64))
(neg.f64 b_2)
(sqrt.f64 (*.f64 b_2 b_2))
(fabs.f64 b_2)
(+.f64 (cosh.f64 (/.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
b_2
(.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fabs.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))
(neg.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fabs.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1/4 binary64) (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)))
(.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (hypot.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 18 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 12 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (*.f64 a b_2) c) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) c))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (/.f64 (.f64 b_2 b_2) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 (.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(-.f64 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (neg.f64 c)) a))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 c) (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 c a))) (.f64 b_2 b_2))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 c a))) (.f64 b_2 b_2))
(hypot.f64 (fabs.f64 (.f64 c a)) (.f64 b_2 b_2))
(hypot.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(hypot.f64 (.f64 c a) (.f64 b_2 b_2))
(hypot.f64 (.f64 b_2 b_2) (neg.f64 (fabs.f64 (.f64 c a))))
(hypot.f64 (.f64 b_2 b_2) (fabs.f64 (fabs.f64 (.f64 c a))))
(hypot.f64 (.f64 b_2 b_2) (fabs.f64 (.f64 c a)))
(hypot.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(hypot.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))) (sinh.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(+.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(+.f64 (.f64 c a) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (neg.f64 c)) a))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 c) (neg.f64 a)))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval57.0ms (0.8%)

Memory: 25.2MiB live, 115.8MiB allocated
Compiler: Compiled 12 389 to 1 647 computations (86.7% saved)

prune27.0ms (0.4%)

Memory

12.0MiB live, 46.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	356	10	366
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	356	11	367

Accuracy

91.0%

Counts

367 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
	19.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	15.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
▶	37.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
	32.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
▶	27.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	32.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
▶	34.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Compiler

Compiled 503 to 338 computations (32.8% saved)

simplify121.0ms (1.6%)

Memory

-9.3MiB live, 78.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
cost-diff	0	(/.f64 (/.f64 c b_2) b_2)
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
cost-diff	3	(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
cost-diff	0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff	0	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
cost-diff	2	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
cost-diff	4	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	368
0	70	368
1	116	368
2	221	368
3	559	368
4	1729	352
5	5924	330
0	8210	328

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(neg.f64 b_2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 b_2)
b_2
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
#s(literal 2 binary64)
#s(literal 1/4 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(fma.f64 (/.f64 (neg.f64 a) b_2) c b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
(neg.f64 (fma.f64 (/.f64 (/.f64 a b_2) b_2) c #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 (/.f64 a b_2) b_2) c)
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(/.f64 c b_2)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(neg.f64 b_2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b_2 (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) b_2 (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 b_2)
b_2
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
#s(literal 2 binary64)
#s(literal 1/4 binary64)

localize174.0ms (2.3%)

Memory

4.5MiB live, 196.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7499917428166807	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	3.029148170013938	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
accuracy	14.747032708390078	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	39.469453145460115	(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy	0.0	(neg.f64 b_2)
accuracy	0.13671875	(/.f64 (/.f64 c b_2) b_2)
accuracy	6.277770136013257	(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
accuracy	43.4262300400537	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
accuracy	0.0078125	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	3.036960670013938	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy	5.174545723868188	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	41.892449022468156	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.00390625	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	41.92114957815773	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	4.691774261081938	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
accuracy	5.987840135839627	(*.f64 (/.f64 c b_2) a)
accuracy	14.741868926769424	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
accuracy	22.626918277796815	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))

Samples

61.0ms	43×	2	valid
57.0ms	173×	0	valid
19.0ms	37×	1	valid
5.0ms	3×	3	valid

Compiler

Compiled 285 to 37 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

adjust: 32.0ms (29.3% of total)

ival-mult: 24.0ms (21.9% of total)

ival-pow: 21.0ms (19.2% of total)

ival-div: 13.0ms (11.9% of total)

ival-add: 7.0ms (6.4% of total)

ival-pow2: 4.0ms (3.7% of total)

ival-sub: 3.0ms (2.7% of total)

ival-sqrt: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series216.0ms (2.9%)

Memory

-20.6MiB live, 220.3MiB allocated

Counts

22 → 215

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 b_2)
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
(*.f64 (/.f64 c b_2) a)
(fma.f64 c a (*.f64 b_2 b_2))

Outputs
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(/ (* a c) b_2)
(+ (* a c) (pow b_2 2))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c (pow b_2 2))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* -1 b_2)
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))

Calls

9 calls:

Time	Variable		Point	Expression
60.0ms	a	@	0	((* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
17.0ms	a	@	-inf	((* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
17.0ms	c	@	0	((* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
17.0ms	b_2	@	inf	((* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
15.0ms	c	@	-inf	((* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))

simplify176.0ms (2.4%)

Memory

33.8MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	887	5658
1	3173	5521
0	8810	5244

Stop Event

1×	iter limit
1×	node limit

Counts

215 → 214

Calls

Call 1

Inputs
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(/ (* a c) b_2)
(+ (* a c) (pow b_2 2))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c (pow b_2 2))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* -1 b_2)
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))

Outputs
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(-.f64 b_2 (/.f64 (*.f64 a c) b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ (* a c) b_2))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
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(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 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 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 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 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 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 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(.f64 (neg.f64 c) (neg.f64 (+.f64 (/.f64 (.f64 b_2 b_2) c) a)))

rewrite191.0ms (2.6%)

Memory

17.1MiB live, 157.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	283
0	70	277
1	237	274
2	1564	274
0	8520	274

Stop Event

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

Counts

22 → 463

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 b_2)
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
(*.f64 (/.f64 c b_2) a)
(fma.f64 c a (*.f64 b_2 b_2))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2)
(.f64 b_2 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 2 binary64))) b_2)) (neg.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 3 binary64))) b_2)) (neg.f64 (+.f64 (/.f64 (fma.f64 a c (pow.f64 (.f64 a (/.f64 c b_2)) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (fma.f64 a c (pow.f64 (.f64 a (/.f64 c b_2)) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 2 binary64))) b_2) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 3 binary64))) b_2) (+.f64 (/.f64 (fma.f64 a c (pow.f64 (.f64 a (/.f64 c b_2)) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64)))
(/.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 2 binary64)))) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)))
(/.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 3 binary64)))) (+.f64 (/.f64 (fma.f64 a c (pow.f64 (.f64 a (/.f64 c b_2)) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) (neg.f64 b_2)) (neg.f64 b_2))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) (*.f64 b_2 b_2))
(.f64 b_2 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 2 binary64))) (*.f64 b_2 b_2))) (neg.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 3 binary64))) (.f64 b_2 b_2))) (neg.f64 (+.f64 (/.f64 (fma.f64 a c (pow.f64 (.f64 a (/.f64 c b_2)) #s(literal 2 binary64))) (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 2 binary64))) (*.f64 b_2 b_2)) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 a (/.f64 c b_2)) b_2) #s(literal 3 binary64))) (.f64 b_2 b_2)) (+.f64 (/.f64 (fma.f64 a c (pow.f64 (.f64 a (/.f64 c b_2)) #s(literal 2 binary64))) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) a))
(.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) (neg.f64 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))))) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) a))
(.f64 (/.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))))) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))))))) (/.f64 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) (neg.f64 b_2)) a))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a) (/.f64 (neg.f64 b_2) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) (neg.f64 b_2))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b_2) a (.f64 a (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))))) (neg.f64 (.f64 a a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) (neg.f64 a) (.f64 (neg.f64 a) (neg.f64 (neg.f64 b_2)))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) a (.f64 (neg.f64 a) (neg.f64 b_2))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) (neg.f64 a) (.f64 a (neg.f64 (neg.f64 b_2)))) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a) (.f64 (neg.f64 a) (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))))) (.f64 a a))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b_2)) a (.f64 (neg.f64 a) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (neg.f64 b_2) (neg.f64 a) (.f64 a (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))))) (.f64 a (neg.f64 a)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (fma.f64 a c (.f64 (neg.f64 b_2) b_2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 b_2 b_2) a) c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 a c (.f64 (neg.f64 b_2) b_2)))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 b_2 b_2) a) c))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 a c) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b_2))) (neg.f64 (neg.f64 (neg.f64 b_2))) (*.f64 a c))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 a c))
(fma.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 (neg.f64 b_2)) (*.f64 a c))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 a c))
(fma.f64 a c (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 a c))
(fma.f64 c a (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 a c) (.f64 (neg.f64 b_2) b_2))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 a c) (*.f64 (neg.f64 b_2) b_2))))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (*.f64 (neg.f64 b_2) b_2))))
(-.f64 (.f64 a c) (.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 b_2)))
(-.f64 (.f64 a c) (.f64 (neg.f64 b_2) b_2))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 c) a))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(fabs.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)))))
(fabs.f64 (-.f64 (.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 b_2)) (.f64 a c)))
(fabs.f64 (-.f64 (.f64 (neg.f64 b_2) b_2) (.f64 a c)))
(fabs.f64 (-.f64 (.f64 (neg.f64 c) a) (.f64 b_2 b_2)))
(fabs.f64 (-.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2)))
(fabs.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(fabs.f64 (fma.f64 a c (*.f64 b_2 b_2)))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 b_2 b_2) a) c)))) (/.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 b_2 b_2) a) c)))))
(+.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 b_2 b_2) a) c)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 b_2 b_2) a) c)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (neg.f64 a) c) (.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 a c (.f64 b_2 b_2)))) (sinh.f64 (log.f64 (fma.f64 a c (.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (.f64 (neg.f64 b_2) b_2))) (/.f64 (.f64 (.f64 (neg.f64 b_2) b_2) (.f64 b_2 b_2)) (fma.f64 a c (.f64 (neg.f64 b_2) b_2))))
(+.f64 (.f64 a c) (.f64 (neg.f64 (neg.f64 b_2)) b_2))
(+.f64 (.f64 a c) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 a c))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b_2 b_2))))

eval140.0ms (1.9%)

Memory: -9.3MiB live, 136.2MiB allocated
Compiler: Compiled 28 944 to 3 380 computations (88.3% saved)

prune30.0ms (0.4%)

Memory

17.7MiB live, 61.7MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	671	22	693
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	677	27	704

Accuracy

91.0%

Counts

704 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
	35.8%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
▶	27.2%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	14.1%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) a))
	30.9%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
	36.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (/.f64 c b_2)) b_2)) b_2)))) a)
▶	46.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
	40.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (fma.f64 (/.f64 a b_2) #s(literal -1 binary64) (/.f64 b_2 c)) c)) b_2)))) a)
	27.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) a)
	33.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))))) a)
	9.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
	9.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
	9.4%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
▶	9.0%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
✓	27.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	7.9%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
	31.2%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	9.1%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
▶	32.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
✓	34.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	32.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	9.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
▶	34.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

Compiler

Compiled 1 511 to 965 computations (36.1% saved)

simplify99.0ms (1.3%)

Memory

-17.1MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))
cost-diff	2	(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
cost-diff	3	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2)
cost-diff	4	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
cost-diff	3	(*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
cost-diff	0	(/.f64 (*.f64 a c) b_2)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
cost-diff	0	#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	512
0	86	512
1	152	510
2	340	507
3	1062	504
4	3093	470
5	7315	470
0	8197	454

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))
(-.f64 b_2 (/.f64 (*.f64 a c) b_2))
(/.f64 (*.f64 a c) b_2)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
c
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
#s(literal 1/2 binary64)
(/.f64 (*.f64 a c) b_2)
(*.f64 a c)
a
c
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))
(/.f64 c b_2)
c
b_2
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(neg.f64 b_2)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 a (/.f64 c b_2)) b_2)
(*.f64 a (/.f64 c b_2))
a
(/.f64 c b_2)
c
b_2
(*.f64 a (neg.f64 b_2))
(neg.f64 b_2)
(*.f64 a a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) b_2) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) b_2)
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2)))
(-.f64 b_2 (/.f64 (*.f64 a c) b_2))
(-.f64 b_2 (/.f64 (*.f64 c a) b_2))
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(*.f64 a c)
(*.f64 c a)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
c
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)))
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))
#s(literal 1/2 binary64)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(*.f64 a c)
(*.f64 c a)
a
c
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
(*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) c (/.f64 #s(literal 2 binary64) a))
(/.f64 c b_2)
c
b_2
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(neg.f64 b_2)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 c #s(literal -1 binary64)) (/.f64 a b_2) b_2) b_2))) b_2) a)
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 c #s(literal -1 binary64)) (/.f64 a b_2) b_2) b_2))) b_2) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 c #s(literal -1 binary64)) (/.f64 a b_2) b_2) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 c #s(literal -1 binary64)) (/.f64 a b_2) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)
(.f64 (fma.f64 (.f64 c #s(literal -1 binary64)) (/.f64 a b_2) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2)
(fma.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 a b_2) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 a (/.f64 c b_2)) b_2)
(/.f64 (/.f64 (*.f64 c a) b_2) b_2)
(*.f64 a (/.f64 c b_2))
(/.f64 (*.f64 c a) b_2)
a
(/.f64 c b_2)
c
b_2
(*.f64 a (neg.f64 b_2))
(neg.f64 b_2)
(*.f64 a a)

localize186.0ms (2.5%)

Memory

18.4MiB live, 249.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.987840135839627	(*.f64 a (/.f64 c b_2))
accuracy	18.236593221356255	(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
accuracy	22.626918277796815	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))
accuracy	29.086097714706995	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
accuracy	0.0	(neg.f64 b_2)
accuracy	0.07488251953688403	(fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))
accuracy	6.277770136013257	(*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
accuracy	43.4262300400537	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
accuracy	0.00390625	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
accuracy	3.029148170013938	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
accuracy	5.528485544004509	(/.f64 (*.f64 a c) b_2)
accuracy	41.82928318501641	#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.19921875	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	41.92114957815773	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
accuracy	4.0686074894574675	(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)
accuracy	5.528485544004509	(/.f64 (*.f64 a c) b_2)
accuracy	14.741868926769424	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))))
accuracy	22.626918277796815	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))

Samples

67.0ms	173×	0	valid
41.0ms	44×	2	valid
20.0ms	33×	1	valid
9.0ms	6×	3	valid

Compiler

Compiled 322 to 48 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 28.0ms (28.2% of total)

ival-pow: 21.0ms (21.1% of total)

ival-div: 17.0ms (17.1% of total)

adjust: 9.0ms (9.1% of total)

ival-add: 8.0ms (8.1% of total)

ival-sub: 6.0ms (6% of total)

ival-pow2: 4.0ms (4% of total)

ival-sqrt: 3.0ms (3% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series170.0ms (2.3%)

Memory

-18.4MiB live, 215.6MiB allocated

Counts

21 → 226

Calls

Call 1

Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
(/.f64 (*.f64 a c) b_2)
(*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))
(/.f64 c b_2)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2)
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)
(*.f64 a (/.f64 c b_2))

Outputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (* a c) b_2)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ b_2 (* -1 b_2)) a)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)
(+ b_2 (* -1 (/ (* a c) b_2)))
(* a (+ b_2 (* -1 b_2)))
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ -1/2 b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c b_2)
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (* b_2 (+ a (* -1 a))) (pow a 2))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (/ -1 a) (/ 1 a)))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (/ -1 a) (/ 1 a))))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ a (* -1 a)))
(* b_2 (+ a (+ (* -1 a) (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(/ (+ (* -1 (* a b_2)) (* a b_2)) (pow a 2))
(+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (* a b_2)) (* a b_2))
(+ (* -1 (* a b_2)) (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2)))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	a	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (* 1/2 (/ (* a c) b_2)) (/ (* a c) b_2) (* (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (/ c b_2) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (* a (/ c b_2)))
24.0ms	c	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (* 1/2 (/ (* a c) b_2)) (/ (* a c) b_2) (* (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (/ c b_2) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (* a (/ c b_2)))
22.0ms	c	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (* 1/2 (/ (* a c) b_2)) (/ (* a c) b_2) (* (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (/ c b_2) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (* a (/ c b_2)))
19.0ms	b_2	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (* 1/2 (/ (* a c) b_2)) (/ (* a c) b_2) (* (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (/ c b_2) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (* a (/ c b_2)))
17.0ms	a	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (* 1/2 (/ (* a c) b_2)) (/ (* a c) b_2) (* (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ c b_2) (/ -1/2 b_2)) (/ 2 a)) (/ c b_2) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (* a (/ c b_2)))

simplify224.0ms (3%)

Memory

35.9MiB live, 221.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	5821
1	3496	5626
0	8242	5338

Stop Event

1×	iter limit
1×	node limit

Counts

226 → 225

Calls

Call 1

Inputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (* a c) b_2)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ b_2 (* -1 b_2)) a)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)
(+ b_2 (* -1 (/ (* a c) b_2)))
(* a (+ b_2 (* -1 b_2)))
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ -1/2 b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c b_2)
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (* b_2 (+ a (* -1 a))) (pow a 2))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (/ -1 a) (/ 1 a)))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (/ -1 a) (/ 1 a))))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ a (* -1 a)))
(* b_2 (+ a (+ (* -1 a) (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(/ (+ (* -1 (* a b_2)) (* a b_2)) (pow a 2))
(+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (* a b_2)) (* a b_2))
(+ (* -1 (* a b_2)) (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2)))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))

Outputs
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
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(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #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_2 b_2)) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) c)) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 b_2 c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/8 binary64))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(.f64 (neg.f64 c) (-.f64 (.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 (/.f64 #s(literal 2 binary64) a) c)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (/.f64 a b_2)))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a (/.f64 b_2 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (*.f64 (neg.f64 b_2) a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a b_2 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) c))) (neg.f64 c))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(.f64 (neg.f64 c) (-.f64 a (/.f64 (.f64 b_2 b_2) c)))

rewrite235.0ms (3.1%)

Memory

-17.7MiB live, 213.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	357
0	86	353
1	316	349
2	2140	349
0	8554	347

Stop Event

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

Counts

21 → 391

Calls

Call 1

Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
(/.f64 (*.f64 a c) b_2)
(*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))
(/.f64 c b_2)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2)
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)
(*.f64 a (/.f64 c b_2))

Outputs
(/.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 b_2))) (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))))))))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))))
(/.f64 (fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))))) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))))) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))))))
(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2)))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))))))
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) #s(literal 3 binary64)) (pow.f64 (.f64 a b_2) #s(literal 3 binary64))) (fma.f64 (.f64 a a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) (+.f64 (pow.f64 (.f64 a b_2) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) (.f64 (neg.f64 a) (neg.f64 b_2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (pow.f64 (.f64 a b_2) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a (.f64 a b_2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 a b_2) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 a b_2) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (.f64 a (*.f64 a (neg.f64 b_2))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 a b_2) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 a a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) (.f64 (.f64 a (neg.f64 b_2)) (-.f64 (.f64 a (neg.f64 b_2)) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a))))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (pow.f64 (.f64 a b_2) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a (.f64 a b_2)))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 a b_2) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a b_2) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (.f64 a (*.f64 a (neg.f64 b_2)))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 a b_2) #s(literal 3 binary64))) (fma.f64 (.f64 a a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) (.f64 (.f64 a (neg.f64 b_2)) (-.f64 (.f64 a (neg.f64 b_2)) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a)))))
(fma.f64 (neg.f64 a) b_2 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a (.f64 (neg.f64 (neg.f64 a)) (neg.f64 b_2)))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2)))
(fma.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 b_2)))
(fma.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (.f64 a (neg.f64 b_2)))
(fma.f64 a (neg.f64 b_2) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a))
(fma.f64 (neg.f64 b_2) a (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a))
(-.f64 (/.f64 (.f64 (.f64 a a) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) (fma.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a (.f64 a b_2))) (/.f64 (pow.f64 (.f64 a b_2) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a (.f64 a b_2))))
(-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) (.f64 (neg.f64 (neg.f64 b_2)) a))
(-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) (.f64 a b_2))
(-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) (.f64 (neg.f64 a) (neg.f64 b_2)))
(-.f64 (.f64 a (neg.f64 b_2)) (.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) a))
(-.f64 (.f64 a (neg.f64 b_2)) (.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) #s(literal 3 binary64)) (fma.f64 (.f64 a a) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) (.f64 (.f64 a (neg.f64 b_2)) (-.f64 (.f64 a (neg.f64 b_2)) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a))))) (/.f64 (pow.f64 (.f64 a b_2) #s(literal 3 binary64)) (fma.f64 (.f64 a a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) (.f64 (.f64 a (neg.f64 b_2)) (-.f64 (.f64 a (neg.f64 b_2)) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a))))))
(+.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 b_2)))
(+.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) a) (.f64 a (neg.f64 b_2)))
(+.f64 (.f64 a (neg.f64 b_2)) (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) a))
(.f64 (neg.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)
(.f64 b_2 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(*.f64 a (/.f64 c b_2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a) c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 b_2))
(/.f64 (*.f64 c a) b_2)
(neg.f64 (*.f64 (neg.f64 a) (/.f64 c b_2)))

eval119.0ms (1.6%)

Memory: 14.3MiB live, 167.2MiB allocated
Compiler: Compiled 27 779 to 2 820 computations (89.8% saved)

prune55.0ms (0.7%)

Memory

-48.1MiB live, 63.2MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	617	13	630
Fresh	7	12	19
Picked	3	2	5
Done	0	3	3
Total	627	30	657

Accuracy

91.1%

Counts

657 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
▶	44.2%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
	32.2%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
▶	22.3%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	24.6%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))) a)
	22.7%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) a))
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
	36.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (/.f64 c b_2)) b_2)) b_2)))) a)
	43.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (*.f64 c (/.f64 a b_2)))) b_2)))) a)
	27.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) a)
	33.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))))) a)
▶	9.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
	22.2%	(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (.f64 (.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
▶	9.4%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
✓	9.0%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
	9.1%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a b_2)))) a)
✓	27.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	27.6%	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) #s(literal 0 binary64)) b_2))
▶	9.4%	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
	7.9%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
	31.2%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	9.1%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
	31.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
✓	34.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	32.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	9.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
✓	34.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

Compiler

Compiled 1 796 to 1 081 computations (39.8% saved)

simplify107.0ms (1.4%)

Memory

13.3MiB live, 144.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))
cost-diff	2	(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2)))
cost-diff	4	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
cost-diff	0	#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)))
cost-diff	0	(sqrt.f64 (*.f64 c a))
cost-diff	0	(-.f64 (sqrt.f64 (*.f64 c a)) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
cost-diff	0	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
cost-diff	0	(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
cost-diff	13	(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	644
0	94	580
1	165	576
2	398	571
3	1276	565
4	3455	559
5	6829	559
0	8458	554

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2))
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2)))
(-.f64 b_2 (/.f64 (*.f64 c a) b_2))
b_2
(/.f64 (*.f64 c a) b_2)
(*.f64 c a)
c
a
(neg.f64 b_2)
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(-.f64 (sqrt.f64 (*.f64 c a)) b_2)
(sqrt.f64 (*.f64 c a))
(*.f64 c a)
c
a
b_2
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
(+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)))
(neg.f64 b_2)
b_2
#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 c b_2)
c
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2))
(.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2)))
(*.f64 (neg.f64 a) (/.f64 c b_2))
(neg.f64 a)
a
(/.f64 c b_2)
c
b_2
(*.f64 a (neg.f64 b_2))
(neg.f64 b_2)
(*.f64 a a)

Outputs
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) b_2) a)
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) b_2)
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)
(.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2)))
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2)))
(-.f64 b_2 (/.f64 (*.f64 c a) b_2))
b_2
(/.f64 (*.f64 c a) b_2)
(*.f64 c a)
c
a
(neg.f64 b_2)
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(-.f64 (sqrt.f64 (*.f64 c a)) b_2)
(sqrt.f64 (*.f64 c a))
(*.f64 c a)
c
a
b_2
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
(/.f64 (-.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2)) b_2) a)
(+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)))
(-.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2)) b_2)
(neg.f64 b_2)
b_2
#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))
#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)
(fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2)
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 c b_2)
c
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (/.f64 (neg.f64 a) b_2) c)) b_2))) b_2) a)
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2)))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (/.f64 (neg.f64 a) b_2) c)) b_2))) b_2) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (/.f64 (neg.f64 a) b_2) c)) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (/.f64 (neg.f64 a) b_2) c)) b_2))
(.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)
(.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (/.f64 (neg.f64 a) b_2) c)) b_2)
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2)))
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (/.f64 (neg.f64 a) b_2) c))
(*.f64 (neg.f64 a) (/.f64 c b_2))
(*.f64 (/.f64 (neg.f64 a) b_2) c)
(neg.f64 a)
a
(/.f64 c b_2)
c
b_2
(*.f64 a (neg.f64 b_2))
(*.f64 (neg.f64 a) b_2)
(neg.f64 b_2)
(*.f64 a a)

localize157.0ms (2.1%)

Memory

34.2MiB live, 224.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	7.409961691077396	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))
accuracy	7.940996155888015	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
accuracy	8.222833604143327	(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2)))
accuracy	18.392110638033976	#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2)))
accuracy	0.0	(neg.f64 b_2)
accuracy	1.0450703960445855	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
accuracy	6.814505979444979	(+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)))
accuracy	9.108909282283083	#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))
accuracy	0.0	(*.f64 c a)
accuracy	1.0450703960445855	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
accuracy	4.27560928352683	(sqrt.f64 (*.f64 c a))
accuracy	16.8657029330617	#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
accuracy	16.04129656863241	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
accuracy	1.0489766460445855	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
accuracy	1.8229805000435053	(/.f64 (*.f64 c a) b_2)
accuracy	7.409961691077396	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
accuracy	9.214740275754252	(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2))

Samples

62.0ms	181×	0	invalid
26.0ms	4×	3	valid
17.0ms	18×	2	valid
13.0ms	37×	0	valid
10.0ms	16×	1	valid

Compiler

Compiled 340 to 49 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 24.0ms (26.8% of total)

adjust: 14.0ms (15.6% of total)

ival-pow: 14.0ms (15.6% of total)

ival-div: 12.0ms (13.4% of total)

ival-add: 9.0ms (10% of total)

ival-sub: 6.0ms (6.7% of total)

ival-sqrt: 6.0ms (6.7% of total)

ival-pow2: 3.0ms (3.3% of total)

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

exact: 1.0ms (1.1% of total)

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

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

series226.0ms (3%)

Memory

-46.1MiB live, 218.2MiB allocated

Counts

20 → 276

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(-.f64 (sqrt.f64 (*.f64 c a)) b_2)
(sqrt.f64 (*.f64 c a))
(+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
(neg.f64 b_2)
#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2))
(/.f64 (*.f64 c a) b_2)
(*.f64 c a)
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2)))

Outputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(/ (+ b_2 (* -1 b_2)) a)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(- (sqrt (* a c)) b_2)
(sqrt (* a c))
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* a (+ b_2 (* -1 b_2)))
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ (* a c) b_2)
(* a c)
(+ b_2 (* -1 (/ (* a c) b_2)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* -1 b_2)
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(- (pow b_2 2) (* a c))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(/ (* b_2 (+ a (* -1 a))) (pow a 2))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (/ -1 a) (/ 1 a)))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (/ -1 a) (/ 1 a))))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* b_2 (- (* (sqrt (* a c)) (/ 1 b_2)) 1))
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* b_2 (+ a (* -1 a)))
(* b_2 (+ a (+ (* -1 a) (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ 1 b_2))))))
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(/ (+ (* -1 (* a b_2)) (* a b_2)) (pow a 2))
(+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (* -1 (* a b_2)) (* a b_2))
(+ (* -1 (* a b_2)) (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2)))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))

Calls

9 calls:

Time	Variable		Point	Expression
81.0ms	c	@	-inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (- (sqrt (* c a)) b_2) (sqrt (* c a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (* c a) b_2) (* c a) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2))
27.0ms	b_2	@	-inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (- (sqrt (* c a)) b_2) (sqrt (* c a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (* c a) b_2) (* c a) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2))
19.0ms	a	@	0	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (- (sqrt (* c a)) b_2) (sqrt (* c a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (* c a) b_2) (* c a) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2))
18.0ms	b_2	@	inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (- (sqrt (* c a)) b_2) (sqrt (* c a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (* c a) b_2) (* c a) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2))
17.0ms	a	@	-inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (- (sqrt (* c a)) b_2) (sqrt (* c a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (* c a) b_2) (* c a) (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2))

simplify476.0ms (6.4%)

Memory

17.3MiB live, 248.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1294	7994
1	4756	7542
0	8464	7166

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

Calls

Call 1

Inputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(/ (+ b_2 (* -1 b_2)) a)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(- (sqrt (* a c)) b_2)
(sqrt (* a c))
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* a (+ b_2 (* -1 b_2)))
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ (* a c) b_2)
(* a c)
(+ b_2 (* -1 (/ (* a c) b_2)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* -1 b_2)
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(- (pow b_2 2) (* a c))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(/ (* b_2 (+ a (* -1 a))) (pow a 2))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (/ -1 a) (/ 1 a)))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (/ -1 a) (/ 1 a))))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* b_2 (- (* (sqrt (* a c)) (/ 1 b_2)) 1))
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* b_2 (+ a (* -1 a)))
(* b_2 (+ a (+ (* -1 a) (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ 1 b_2))))))
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(/ (+ (* -1 (* a b_2)) (* a b_2)) (pow a 2))
(+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (* -1 (* a b_2)) (* a b_2))
(+ (* -1 (* a b_2)) (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2)))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))

Outputs
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(* (pow 1 1/4) (sqrt b_2))
(sqrt.f64 b_2)
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) (sqrt.f64 b_2))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3/32 binary64)) a) (sqrt.f64 b_2) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) c) #s(literal -1/4 binary64))) a (sqrt.f64 b_2))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 b_2) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3/32 binary64) (.f64 (.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -7/128 binary64)) a))) a (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) c) #s(literal -1/4 binary64))) a (sqrt.f64 b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(/ (+ b_2 (* -1 b_2)) a)
#s(literal 0 binary64)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a #s(literal 0 binary64)) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a #s(literal 0 binary64)) a)
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
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(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 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_2 #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (neg.f64 c)) b_2) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.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 b_2 b_2)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) c)) (neg.f64 c))) (neg.f64 c))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (.f64 b_2 b_2)) (*.f64 c a)) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a)) #s(literal -3/32 binary64)) c) (.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (*.f64 b_2 b_2)) a) #s(literal 1/4 binary64))) c))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (.f64 b_2 b_2)) a) #s(literal 1/4 binary64) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 7/128 binary64)) c) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a)) #s(literal -3/32 binary64)))) (neg.f64 c))) c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #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_2 b_2)) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) c)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64)) b_2) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/8 binary64))) (neg.f64 c)) b_2) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a (/.f64 b_2 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (*.f64 (neg.f64 b_2) a)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a b_2 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) c))) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1 binary64) a) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (/.f64 a b_2)) (neg.f64 c))

rewrite188.0ms (2.5%)

Memory

-8.0MiB live, 176.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	495
0	94	421
1	350	412
2	2336	412
0	8494	402

Stop Event

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

Counts

20 → 358

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
#s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(-.f64 (sqrt.f64 (*.f64 c a)) b_2)
(sqrt.f64 (*.f64 c a))
(+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
(neg.f64 b_2)
#s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2))
(/.f64 (*.f64 c a) b_2)
(*.f64 c a)
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2)))

Outputs
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(/.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 b_2))) (neg.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2)) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) a)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))) (neg.f64 (neg.f64 a)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) a (.f64 (neg.f64 a) b_2)) (*.f64 a a))
(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 b_2 b_2)) (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2)) a))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) a))
(neg.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 a)))
(fma.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) a) (/.f64 (neg.f64 b_2) a))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (neg.f64 b_2)) a)) (/.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2)) a)))
(-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (neg.f64 b_2)) a)) (/.f64 (.f64 b_2 b_2) (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2)) a)))
(-.f64 (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (neg.f64 b_2))) a) (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) (neg.f64 b_2))) a))
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) a))
(+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) a) (/.f64 (neg.f64 b_2) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) a))
(.f64 (neg.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) #s(literal 1/2 binary64))
(neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))))) (sinh.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))))
(.f64 (sqrt.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/4 binary64))) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 3/4 binary64))))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))) (neg.f64 a))
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(+.f64 (.f64 (neg.f64 a) b_2) (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) a))
(.f64 (neg.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) (fabs.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))))
(.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))))
(.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))))
(pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(literal 1 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))
(sqrt.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2)) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))))
(exp.f64 (fma.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64) (.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (/.f64 a b_2)) (fabs.f64 c))
(*.f64 (fabs.f64 c) (fabs.f64 (/.f64 a b_2)))
(*.f64 (fabs.f64 (/.f64 c b_2)) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(*.f64 a (fabs.f64 (/.f64 c b_2)))
(*.f64 a (/.f64 c b_2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a) c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (neg.f64 a) c))) b_2)
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 b_2))
(/.f64 (*.f64 c a) b_2)
(neg.f64 (*.f64 (neg.f64 c) (/.f64 a b_2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 c a) b_2) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 c) (/.f64 a b_2)))
(fabs.f64 (/.f64 (*.f64 c a) b_2))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 c a)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 c a)))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (*.f64 c a) c))) (fabs.f64 (sqrt.f64 a)))
(.f64 (fabs.f64 (sqrt.f64 c)) (fabs.f64 (sqrt.f64 (.f64 a (*.f64 c a)))))
(*.f64 (fabs.f64 c) a)
(.f64 (sqrt.f64 (.f64 (*.f64 c a) a)) (sqrt.f64 c))
(.f64 (sqrt.f64 (.f64 (neg.f64 a) c)) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(.f64 (pow.f64 (.f64 (*.f64 c a) a) #s(literal 1/2 binary64)) (sqrt.f64 c))
(.f64 (pow.f64 (.f64 (neg.f64 a) c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) c)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 a) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 c a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 c) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 a (*.f64 c a))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 c a) c)) (sqrt.f64 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (neg.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c (*.f64 c a))))
(.f64 (sqrt.f64 a) (pow.f64 (.f64 c (*.f64 c a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a (*.f64 c a))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 (*.f64 c a)))
(*.f64 c a)
(*.f64 a (fabs.f64 c))
(*.f64 a c)
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal 2 binary64))
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) c))
(fabs.f64 (*.f64 c a))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 c a))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))
#s(approx (* (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2)))

eval134.0ms (1.8%)

Memory: 19.0MiB live, 165.2MiB allocated
Compiler: Compiled 49 043 to 3 554 computations (92.8% saved)

prune40.0ms (0.5%)

Memory

12.6MiB live, 101.3MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	793	8	801
Fresh	6	14	20
Picked	1	4	5
Done	2	3	5
Total	802	29	831

Accuracy

91.1%

Counts

831 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(fma.f64 (neg.f64 b_2) (/.f64 a (.f64 a a)) (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) (/.f64 a (.f64 a a))))
	34.4%	(/.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
✓	44.2%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
	23.8%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	3.8%	(/.f64 (/.f64 (-.f64 (pow.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (.f64 #s(literal 1/2 binary64) a) b_2)) #s(literal 2 binary64)) (.f64 b_2 b_2)) (-.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2)) (neg.f64 b_2))) a)
	5.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (.f64 #s(literal 1/2 binary64) a) b_2)) a) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b_2) #s(approx (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2))) a))
	22.7%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) a))
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	36.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (/.f64 c b_2)) b_2)) b_2)))) a)
	43.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (*.f64 c (/.f64 a b_2)))) b_2)))) a)
	27.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) a)
	33.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))))) a)
✓	9.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
	22.2%	(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (.f64 (.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
	32.2%	(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
	15.7%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 (.f64 a (*.f64 c a))))) b_2)) a)
✓	9.4%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
	40.9%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (*.f64 c a))) b_2)) a)
	23.9%	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
	27.6%	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) #s(literal 0 binary64)) b_2))
✓	9.4%	#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
	7.9%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
	9.1%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
	31.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
✓	34.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	32.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	9.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
✓	34.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

Compiler

Compiled 2 689 to 895 computations (66.7% saved)

regimes140.0ms (1.9%)

Memory

-21.9MiB live, 176.7MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (.f64 (.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (*.f64 c a))) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) #s(literal 0 binary64)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (*.f64 c (/.f64 a b_2)))) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 a c) b_2))) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) b_2) (.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))))) a)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 a) (/.f64 c b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (fma.f64 (/.f64 a b_2) #s(literal -1 binary64) (/.f64 b_2 c)) c)) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (/.f64 c b_2)) b_2)) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 (.f64 a (*.f64 c a))))) b_2)) a)
(fma.f64 (neg.f64 b_2) (/.f64 a (.f64 a a)) (.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* a (/ c b_2)) b_2)) b_2) (.f64 (neg.f64 c) (/.f64 a b_2))) b_2))) (/.f64 a (.f64 a a))))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) a))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2))))) a)
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (.f64 c a) b_2))) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (-.f64 b_2 (/.f64 (*.f64 c a) b_2))) b_2)))) (neg.f64 b_2)) a)
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) a))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(/.f64 (/.f64 (-.f64 (pow.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (.f64 #s(literal 1/2 binary64) a) b_2)) #s(literal 2 binary64)) (.f64 b_2 b_2)) (-.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2)) (neg.f64 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (.f64 #s(literal 1/2 binary64) a) b_2)) a) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b_2) #s(approx (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a) b_2))) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

4 calls:

92.0ms	b_2
17.0ms	c
15.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
14.0ms	a

Results

Accuracy	Segments	Branch
77.1%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
52.8%	1	`a`
85.9%	3	`b_2`
52.8%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (.f64 (.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (*.f64 c a))) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) #s(literal 0 binary64)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) b_2))) a)

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (*.f64 c a))) b_2)) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
81.6%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-26.4MiB live, 16.8MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (.f64 (.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (*.f64 c a))) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))) a)

Outputs

(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)

(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (*.f64 c a))) b_2)) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
81.5%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (.f64 (.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) a)

Outputs

(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

2 calls:

4.0ms	b_2
3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
50.5%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
64.3%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes10.0ms (0.1%)

Memory

-42.4MiB live, 16.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

4 calls:

4.0ms	b_2
2.0ms	c
2.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
34.5%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
34.5%	1	`a`
34.5%	1	`c`
34.5%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Calls

4 calls:

1.0ms	a
1.0ms	c
1.0ms	b_2
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
34.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
34.4%	1	`a`
34.4%	1	`b_2`
34.4%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))

Outputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))

Calls

4 calls:

1.0ms	c
1.0ms	a
1.0ms	b_2
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
9.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
9.4%	1	`a`
9.4%	1	`b_2`
9.4%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch50.0ms (0.7%)

Memory

-0.4MiB live, 47.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.2083504521407764e-132	4.1297308859917e-130
31.0ms	-2.0000862448975824e+31	-4.281343188441323e+30

Samples

11.0ms	179×	0	valid
3.0ms	22×	1	valid
2.0ms	30×	0	invalid
1.0ms	7×	2	valid

Compiler

Compiled 552 to 426 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 3.0ms (27.8% of total)

ival-div: 2.0ms (18.5% of total)

ival-sqrt: 2.0ms (18.5% of total)

adjust: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

ival-sub: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

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

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

bsearch22.0ms (0.3%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.2083504521407764e-132	4.1297308859917e-130
18.0ms	-2.2212781318684152e-6	-1.1292344085774861e-17

Samples

10.0ms	160×	0	valid
2.0ms	24×	0	invalid

Compiler

Compiled 947 to 714 computations (24.6% saved)

Precisions

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

ival-mult: 2.0ms (28% of total)

ival-sub: 1.0ms (14% of total)

ival-div: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

ival-sqrt: 1.0ms (14% of total)

ival-neg: 1.0ms (14% of total)

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

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

bsearch16.0ms (0.2%)

Memory

-43.6MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.2083504521407764e-132	4.1297308859917e-130
14.0ms	-2.2212781318684152e-6	-1.1292344085774861e-17

Compiler

Compiled 727 to 584 computations (19.7% saved)

bsearch23.0ms (0.3%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-2.3083564845051328e-306	4.0201749651207864e-305

Samples

9.0ms	144×	0	valid
4.0ms	67×	0	invalid

Compiler

Compiled 340 to 277 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 2.0ms (24.3% of total)

ival-sub: 1.0ms (12.2% of total)

ival-div: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

ival-sqrt: 1.0ms (12.2% of total)

ival-neg: 1.0ms (12.2% of total)

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

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

simplify62.0ms (0.8%)

Memory

-7.7MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	336
1	130	334
2	306	332
3	953	319
4	2705	317
5	7696	317

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -19999999999999999271792589930496 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4381000474388761/324518553658426726783156020576256 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 #s(approx (+ (neg b_2) (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (.f64 c a))) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4381000474388761/324518553658426726783156020576256 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 #s(approx (+ (neg b_2) (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (.f64 c a))) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))

Outputs
(if (<=.f64 b_2 #s(literal -19999999999999999271792589930496 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -19999999999999999271792589930496 binary64)) #s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ ( (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4381000474388761/324518553658426726783156020576256 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 #s(approx (+ (neg b_2) (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (.f64 c a))) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4381000474388761/324518553658426726783156020576256 binary64)) #s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 #s(approx (+ (neg b_2) (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (.f64 c a))) b_2)) a) #s(approx (/ (+ ( (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4381000474388761/324518553658426726783156020576256 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 #s(approx (+ (neg b_2) (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (.f64 c a))) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4381000474388761/324518553658426726783156020576256 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 #s(approx (+ (neg b_2) (pow (pow (+ ( c a) (* b_2 b_2)) 2) 1/4)) (-.f64 (sqrt.f64 (fabs.f64 (.f64 c a))) b_2)) a) #s(approx (/ (+ ( (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ ( (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))

soundness1.2s (16.7%)

Memory

11.9MiB live, 536.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	5821
1	3496	5626
0	8242	5338
0	43	283
0	70	277
1	237	274
2	1564	274
0	8520	274
0	64	495
0	94	421
1	350	412
2	2336	412
0	8494	402
0	508	2820
1	1757	2792
2	7361	2792
0	8084	2654
0	887	5658
1	3173	5521
0	8810	5244
0	10	41
0	17	41
1	58	41
2	426	41
3	4925	38
0	9525	34

Stop Event

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

Compiler

Compiled 596 to 264 computations (55.7% saved)

preprocess123.0ms (1.7%)

Memory: 8.9MiB live, 194.8MiB allocated
Compiler: Compiled 972 to 220 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

start0.0ms (0%)

analyze160.0ms (2.1%)

sample1.4s (19.1%)

explain146.0ms (2%)

preprocess27.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize36.0ms (0.5%)

series22.0ms (0.3%)

simplify168.0ms (2.2%)

rewrite199.0ms (2.7%)

eval57.0ms (0.8%)

prune27.0ms (0.4%)

simplify121.0ms (1.6%)

localize174.0ms (2.3%)

series216.0ms (2.9%)

simplify176.0ms (2.4%)

rewrite191.0ms (2.6%)

eval140.0ms (1.9%)

prune30.0ms (0.4%)

simplify99.0ms (1.3%)

localize186.0ms (2.5%)

series170.0ms (2.3%)

simplify224.0ms (3%)

rewrite235.0ms (3.1%)

eval119.0ms (1.6%)

prune55.0ms (0.7%)

simplify107.0ms (1.4%)

localize157.0ms (2.1%)

series226.0ms (3%)

simplify476.0ms (6.4%)

rewrite188.0ms (2.5%)

eval134.0ms (1.8%)

prune40.0ms (0.5%)

regimes140.0ms (1.9%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch50.0ms (0.7%)

bsearch22.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch23.0ms (0.3%)

simplify62.0ms (0.8%)

soundness1.2s (16.7%)

preprocess123.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13