Metrics for quad2m (problem 3.2.1, negative)

analyze195.0ms (1.8%)

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 17 to 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 21.0ms (28.7% of total)

ival-sqrt: 21.0ms (28.7% of total)

ival-sub: 14.0ms (19.1% of total)

ival-div: 8.0ms (10.9% of total)

ival-neg: 8.0ms (10.9% of total)

const: 1.0ms (1.4% of total)

backward-pass: 1.0ms (1.4% of total)

sample2.1s (19.3%)

Results

824.0ms	5568×	0	valid
558.0ms	1878×	2	valid
288.0ms	810×	1	valid
103.0ms	1131×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 462.0ms (38.8% of total)

ival-div: 258.0ms (21.7% of total)

ival-sub: 163.0ms (13.7% of total)

ival-sqrt: 127.0ms (10.7% of total)

ival-neg: 94.0ms (7.9% of total)

backward-pass: 80.0ms (6.7% of total)

const: 8.0ms (0.7% of total)

Bogosity

preprocess163.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

2180×	`fnmadd-define`
1686×	`fmsub-define`
1660×	`fnmsub-define`
1540×	`fmm-def`
1110×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	121
1	171	121
2	423	106
3	1377	106
4	4334	106
0	10	12
1	28	12
2	58	11
3	133	11
4	245	11
5	545	11
6	1349	11
7	2228	11
8	2593	11
9	2868	11
10	2891	11
11	2899	11
0	2899	11

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))

Call 2

Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (neg c) (sqrt (- (* c c) (* a b_2)))) a)

Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (fnmadd a c (square b_2)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (+ b_2 (sqrt (fma a c (square b_2)))) a)
(/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (- b_2 (sqrt (fnmadd a c (square b_2)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (- (neg b_2) (sqrt (fma a c (square b_2)))) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (neg b_2) (sqrt (fma a c (square b_2)))) a)
(neg (/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (- (sqrt (fnmadd a c (square b_2))) b_2) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (+ b_2 (sqrt (fma a c (square b_2)))) a)
(/ (- (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (neg a) (sqrt (fnmadd b_2 c (square a)))) b_2)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (neg b_2) (sqrt (fnmadd a c (square b_2)))) c)
(/ (- (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (neg c) (sqrt (fnmadd b_2 a (square c)))) a)

explain207.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	2	(-1.8753875982904572e-193 -9.574224690251677e-234 9.61703760148961e-120)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
62	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	0	-	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`b_2`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`a`
0	-	0	-	`(*.f64 b_2 b_2)`

Results

76.0ms	128×	2	valid
66.0ms	344×	0	valid
11.0ms	40×	1	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

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

ival-mult: 33.0ms (47.2% of total)

ival-sqrt: 9.0ms (12.9% of total)

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

ival-div: 7.0ms (10% of total)

backward-pass: 7.0ms (10% of total)

ival-neg: 5.0ms (7.1% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 a c)
✓	cost-diff	(*.f64 b_2 b_2)
✓	cost-diff	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Rules

920×	`fnmadd-define`
562×	`fnmsub-define`
550×	`fmsub-define`
526×	`fma-define`
504×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	28	45
2	58	41
3	133	41
4	245	41
5	545	41
6	1349	41
7	2228	41
8	2593	41
9	2868	41
10	2891	41
11	2899	41
0	2899	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c

Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
(* a c)
(*.f64 a c)
a
c

localize84.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	77.7%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

28.0ms	172×	0	valid
26.0ms	64×	2	valid
17.0ms	20×	1	valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

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

ival-mult: 6.0ms (26.1% of total)

ival-sub: 4.0ms (17.4% of total)

ival-sqrt: 3.0ms (13% of total)

ival-div: 3.0ms (13% of total)

ival-neg: 3.0ms (13% of total)

backward-pass: 3.0ms (13% of total)

const: 0.0ms (0% of total)

series32.0ms (0.3%)

Counts

6 → 180

Calls

Call 1

Inputs
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* b_2 b_2)>
#<alt (* a c)>
#<alt (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)>

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

Calls

45 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(* a c)
2.0ms	b_2	@	0	(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	c	@	-inf	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	a	@	0	(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	a	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))

rewrite246.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2248×	`sum4-define`
2098×	`sum3-define`
1130×	`-lowering-.f32`
1130×	`-lowering-.f64`
984×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	46	40
2	146	36
3	747	36
4	4426	36
0	8013	36

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 458

Calls

Call 1

Inputs
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

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

simplify726.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

5214×	`-lowering-.f32`
5214×	`-lowering-.f64`
2128×	`+-lowering-+.f64`
2128×	`+-lowering-+.f32`
1654×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	3005
1	1844	2793
2	6555	2771
0	8057	2771

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+ (* (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)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))) (.f64 c c))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (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)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))) (.f64 c c))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))))))
(* 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)))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_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)))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 a (.f64 c #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))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))))
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b_2
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(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(.f64 c (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(.f64 c (-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))) (.f64 c c))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (/.f64 b_2 (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(.f64 c (+.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))) (.f64 c c))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (/.f64 b_2 (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 b_2 (.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (/.f64 b_2 a)) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))

eval86.0ms (0.8%)

Compiler: Compiled 15013 to 1827 computations (87.8% saved)

prune119.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	620	18	638
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	620	19	639

Accuracy

90.6%

Counts

639 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.8%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
▶	49.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	44.7%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	11.9%	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
	11.5%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
	49.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 a (-.f64 #s(literal 0 binary64) a)) (.f64 c (-.f64 #s(literal 0 binary64) a)))))) a)
▶	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	30.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	23.6%	(/.f64 (+.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a b_2)) (/.f64 a (.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
▶	35.0%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)
	35.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	37.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	31.2%	(/.f64 (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a a))
	49.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	36.9%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	49.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	35.4%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
▶	37.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 644 to 416 computations (35.4% saved)

simplify194.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	cost-diff	256	(-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
✓	cost-diff	256	(.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
✓	cost-diff	256	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	cost-diff	256	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	cost-diff	64	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
✓	cost-diff	128	(/.f64 c (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	128	(-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a)))
✓	cost-diff	128	(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))

Rules

3158×	`-lowering-.f32`
3158×	`-lowering-.f64`
1972×	`fnmadd-define`
1530×	`fma-lowering-fma.f32`
1530×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	297
1	99	277
2	262	253
3	779	249
4	2556	245
5	5625	245
0	8350	245

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a))))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a)))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (/ c (/ 1 a))))
(- (* b_2 b_2) (/ c (/ 1 a)))
(* b_2 b_2)
(/ c (/ 1 a))
c
(/ 1 a)
1
a
(* -2 (/ b_2 a))
-2
(/ b_2 a)
b_2
a
(/ (/ (* a (* c -1/2)) b_2) a)
(/ (* a (* c -1/2)) b_2)
(* a (* c -1/2))
a
(* c -1/2)
c
-1/2
b_2
(/ (+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))) a)
(+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))))
(* b_2 -2)
b_2
-2
(* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))
a
(- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))
(/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2)
(* (* a 1/8) (* c (/ c (* b_2 b_2))))
(* a 1/8)
1/8
(* c (/ c (* b_2 b_2)))
c
(/ c (* b_2 b_2))
(* b_2 b_2)
(/ (* c -1/2) b_2)
(* c -1/2)
-1/2
(/ (/ 1 a) (/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))))
(/ 1 a)
1
a
(/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
-1
(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
c

Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a)))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (- (* b_2 b_2) (/ c (/ 1 a))))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(- (* b_2 b_2) (/ c (/ 1 a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(* b_2 b_2)
(*.f64 b_2 b_2)
(/ c (/ 1 a))
(*.f64 c a)
c
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
-2
#s(literal -2 binary64)
(/ b_2 a)
(/.f64 b_2 a)
b_2
a
(/ (/ (* a (* c -1/2)) b_2) a)
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/ (* a (* c -1/2)) b_2)
(*.f64 c (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)))
(* a (* c -1/2))
(.f64 c (.f64 a #s(literal -1/2 binary64)))
a
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
c
-1/2
#s(literal -1/2 binary64)
b_2
(/ (+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))) a)
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 (/.f64 c b_2) (+.f64 (/.f64 (.f64 c (.f64 a #s(literal 1/8 binary64))) (.f64 b_2 b_2)) #s(literal 1/2 binary64))))) a)
(+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 (/.f64 c b_2) (+.f64 (/.f64 (.f64 c (.f64 a #s(literal 1/8 binary64))) (.f64 b_2 b_2)) #s(literal 1/2 binary64)))))
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
(* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))
(.f64 a (.f64 (/.f64 c b_2) (+.f64 (/.f64 (.f64 c (.f64 a #s(literal 1/8 binary64))) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))))
a
(- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))
(.f64 (/.f64 c b_2) (+.f64 (/.f64 (.f64 c (.f64 a #s(literal 1/8 binary64))) (.f64 b_2 b_2)) #s(literal 1/2 binary64)))
(/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2)
(/.f64 (/.f64 (.f64 c (.f64 c #s(literal 1/8 binary64))) (*.f64 b_2 b_2)) (/.f64 b_2 a))
(* (* a 1/8) (* c (/ c (* b_2 b_2))))
(/.f64 (.f64 c (.f64 c (.f64 a #s(literal 1/8 binary64)))) (.f64 b_2 b_2))
(* a 1/8)
(*.f64 a #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(* c (/ c (* b_2 b_2)))
(/.f64 (.f64 c c) (.f64 b_2 b_2))
c
(/ c (* b_2 b_2))
(/.f64 (/.f64 c b_2) b_2)
(* b_2 b_2)
(*.f64 b_2 b_2)
(/ (* c -1/2) b_2)
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (/ 1 a) (/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
-1
#s(literal -1 binary64)
(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(- (* b_2 b_2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(* b_2 b_2)
(*.f64 b_2 b_2)
(* a c)
(*.f64 c a)
c

localize309.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	accuracy	77.7%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	94.6%	(.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2))))
✓	accuracy	92.1%	(.f64 c (/.f64 c (.f64 b_2 b_2)))
✓	accuracy	90.6%	(.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
✓	accuracy	85.3%	(/.f64 c (*.f64 b_2 b_2))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	accuracy	90.5%	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	accuracy	84.4%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	accuracy	99.1%	(-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a)))
✓	accuracy	95.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
✓	accuracy	77.7%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a)))))
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))

Results

117.0ms	172×	0	valid
105.0ms	61×	2	valid
23.0ms	20×	1	valid
6.0ms	3×	3	valid

Compiler

Compiled 325 to 40 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-div: 41.0ms (39.8% of total)

ival-mult: 25.0ms (24.3% of total)

backward-pass: 14.0ms (13.6% of total)

ival-sub: 8.0ms (7.8% of total)

ival-sqrt: 7.0ms (6.8% of total)

ival-add: 4.0ms (3.9% of total)

ival-neg: 3.0ms (2.9% of total)

const: 1.0ms (1% of total)

series73.0ms (0.7%)

Counts

24 → 744

Calls

Call 1

Inputs
#<alt (sqrt (- (* b_2 b_2) (/ c (/ 1 a))))>
#<alt (- (* b_2 b_2) (/ c (/ 1 a)))>
#<alt (/ c (/ 1 a))>
#<alt (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a))))) a)>
#<alt (* -2 (/ b_2 a))>
#<alt (/ b_2 a)>
#<alt (/ (/ (* a (* c -1/2)) b_2) a)>
#<alt (/ (* a (* c -1/2)) b_2)>
#<alt (* a (* c -1/2))>
#<alt (* c -1/2)>
#<alt (/ (+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))) a)>
#<alt (+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))))>
#<alt (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))>
#<alt (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))>
#<alt (/ (/ 1 a) (/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))))>
#<alt (/ 1 a)>
#<alt (/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a)))))>
#<alt (/ c (* b_2 b_2))>
#<alt (* c (/ c (* b_2 b_2)))>
#<alt (* (* a 1/8) (* c (/ c (* b_2 b_2))))>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -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))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (/ (+ (* 1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 3))>
#<alt (/ (+ (* 1/8 (* a (pow c 2))) (* (pow b_2 2) (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)))) (pow b_2 3))>
#<alt (/ (+ (* 1/8 (* a (pow c 2))) (* (pow b_2 2) (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)))) (pow b_2 3))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
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#<alt b_2>
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#<alt b_2>
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#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>

Calls

186 calls:

Time	Variable		Point	Expression
6.0ms	b_2	@	0	(/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	c	@	inf	(/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms	a	@	-inf	(/ (+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))) a)
3.0ms	b_2	@	-inf	(* -2 (/ b_2 a))
3.0ms	a	@	0	(/ (/ (* a (* c -1/2)) b_2) a)

rewrite248.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4402×	`-lowering-.f32`
4402×	`-lowering-.f64`
3268×	`/-lowering-/.f32`
3268×	`/-lowering-/.f64`
1036×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	223
1	183	205
2	1092	186
0	8006	186

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 995

Calls

Call 1

Inputs
(sqrt (- (* b_2 b_2) (/ c (/ 1 a))))
(- (* b_2 b_2) (/ c (/ 1 a)))
(/ c (/ 1 a))
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a))))) a)
(* -2 (/ b_2 a))
(/ b_2 a)
(/ (/ (* a (* c -1/2)) b_2) a)
(/ (* a (* c -1/2)) b_2)
(* a (* c -1/2))
(* c -1/2)
(/ (+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))) a)
(+ (* b_2 -2) (* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))))
(* a (- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2)))
(- (/ (* (* a 1/8) (* c (/ c (* b_2 b_2)))) b_2) (/ (* c -1/2) b_2))
(/ (/ 1 a) (/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))))
(/ 1 a)
(/ -1 (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
(- (neg b_2) (sqrt (- (* b_2 b_2) (/ c (/ 1 a)))))
(/ c (* b_2 b_2))
(* c (/ c (* b_2 b_2)))
(* (* a 1/8) (* c (/ c (* b_2 b_2))))
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))

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

simplify359.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

5688×	`-lowering-.f32`
5688×	`-lowering-.f64`
4896×	`+-lowering-+.f64`
4896×	`+-lowering-+.f32`
1220×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	10998
1	3467	10096
0	8387	10096

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -1))
(+ (* 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
(* 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 b_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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) 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))))))))
(* (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))))
(* 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))))))
(* -1 (* (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)))))))
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))))))))
(* (sqrt (* a c)) (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))))))
(* -1 (* (sqrt (* a c)) (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 c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* 1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 3))
(/ (+ (* 1/8 (* a (pow c 2))) (* (pow b_2 2) (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)))) (pow b_2 3))
(/ (+ (* 1/8 (* a (pow c 2))) (* (pow b_2 2) (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)))) (pow b_2 3))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* -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))) (* 2 (/ 1 a))))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* a (+ (* -2 (/ b_2 (pow a 2))) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* a (+ (* -2 (/ b_2 (pow a 2))) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) a)) (* -1/8 (/ (pow c 2) (pow b_2 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) a)) (* -1/8 (/ (pow c 2) (pow b_2 3))))))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (+ (* -2 (/ b_2 (* a (pow c 2)))) (+ (* 1/8 (/ a (pow b_2 3))) (/ 1/2 (* b_2 c)))))
(* (pow c 2) (+ (* -2 (/ b_2 (* a (pow c 2)))) (+ (* 1/8 (/ a (pow b_2 3))) (/ 1/2 (* b_2 c)))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (+ (* -1 (/ (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))) c)) (* 1/8 (/ a (pow b_2 3)))))
(* (pow c 2) (+ (* -1 (/ (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))) c)) (* 1/8 (/ a (pow b_2 3)))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b_2 2) c)))) (pow b_2 3))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))))) (pow b_2 3))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))))) (pow b_2 3))
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(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* (pow a 2) (- (+ (* -2 (/ b_2 (pow a 2))) (* 1/8 (/ (pow c 2) (pow b_2 3)))) (* -1/2 (/ c (* a b_2)))))
(* (pow a 2) (- (+ (* -2 (/ b_2 (pow a 2))) (* 1/8 (/ (pow c 2) (pow b_2 3)))) (* -1/2 (/ c (* a b_2)))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))) a)) (* 1/8 (/ (pow c 2) (pow b_2 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))) a)) (* 1/8 (/ (pow c 2) (pow b_2 3)))))
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(+ (* -2 b_2) (* c (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
(* (pow c 2) (+ (* -2 (/ b_2 (pow c 2))) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c))))))
(* (pow c 2) (+ (* -2 (/ b_2 (pow c 2))) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c))))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))) c)) (* 1/8 (/ (pow a 2) (pow b_2 3)))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))) c)) (* 1/8 (/ (pow a 2) (pow b_2 3)))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
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(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
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(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
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(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 3))) (* 1/2 (/ a (* b_2 c)))))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b_2 2) c)))) (pow b_2 3))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b_2 2) c)))) (pow b_2 3))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b_2 2) c)))) (pow b_2 3))
(* 1/2 (/ (* a 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))) (* 1/2 (* a c))) b_2)
(/ (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(* 1/2 (/ (* a c) b_2))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* 1/2 (/ c b_2))
(- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))
(- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))
(- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))))
(* -1 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))))
(* -1 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))))
(* 1/2 (/ c b_2))
(* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* 1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 3))
(/ (+ (* 1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 3))
(/ (+ (* 1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 3))
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(/ (- (* 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))) (* -1/2 c)) b_2)
(/ (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/2 c)) b_2)
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(* -1 (/ (- (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
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(* -1 (/ (- (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
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(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
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(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
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(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (/ b_2 (* a (* c (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))) (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 4)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))
(/ -1/2 b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/16 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2))))) b_2)
(/ (- (* -1 (/ (+ (* 1/128 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ 1/2 (+ (* 1/16 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/8 (/ (* a c) (pow b_2 2)))))) b_2)
(* -2 (/ b_2 (* a c)))
(* -1 (* b_2 (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a c)) (* 1/4 (* a c))) (pow b_2 4))) (* 2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a c)) (* 1/4 (* a c)))))) (+ (* -1/16 (* (pow a 2) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 (* a c)))) (+ (* -1/8 (/ (* a c) (pow b_2 4))) (+ (* 1/4 (/ (* a c) (pow b_2 4))) (* 1/2 (/ 1 (pow b_2 2))))))))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* a (- (* -1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* 1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2)))
(- (* a (- (* a (- (* -1 (* a (+ (* 1/128 (/ (pow c 3) (pow b_2 7))) (* 1/32 (/ (pow c 3) (pow b_2 7)))))) (* 1/16 (/ (pow c 2) (pow b_2 5))))) (* 1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a))) a))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* c (- (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))
(- (* c (- (* c (- (* -1 (* c (+ (* 1/128 (/ (pow a 3) (pow b_2 7))) (* 1/32 (/ (pow a 3) (pow b_2 7)))))) (* 1/16 (/ (pow a 2) (pow b_2 5))))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) a)) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (/ (* b_2 c) a)) c))) c))
(* (sqrt (* a c)) (sqrt -1))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -1)))
(* 2 b_2)
(* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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)))))))
(* 1/2 (/ (* a c) b_2))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -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 (/ (+ (* -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))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ (* 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* (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)) (/ 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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ (* 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* (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)) (/ 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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -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))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (* a c)) (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)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* 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)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 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
(* 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 b_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))))))))
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))))))))
(* (sqrt (* a c)) (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))))))
(* -1 (* (sqrt (* a c)) (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)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) 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))))))))
(* (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))))
(* 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))))))
(* -1 (* (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 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Outputs
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (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)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (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)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* 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)))))))
(.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 6 binary64))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_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)))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b_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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c (.f64 a a)) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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)))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(* 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))))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.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 5 binary64))))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #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 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.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))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) c))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))))
(.f64 a (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (*.f64 c c))))))))
(* 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))))))
(.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))))) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))))) (-.f64 #s(literal 0 binary64) a))
(* -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))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c))))))) (-.f64 #s(literal 0 binary64) a))
(* -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)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.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 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (*.f64 c c)))))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) c)) a) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) c)) a) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) c)) a) (-.f64 #s(literal 0 binary64) c))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* 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)))))))
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_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)))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b_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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* 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)))))
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(* 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))))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))))) (-.f64 #s(literal 0 binary64) a))
(* -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))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c))))))) (-.f64 #s(literal 0 binary64) a))
(* -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)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.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 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (*.f64 c c)))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c (.f64 a a)) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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)))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(* 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))))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.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 5 binary64))))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #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 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.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))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (-.f64 (/.f64 (.f64 b_2 b_2) a) c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (-.f64 (/.f64 (.f64 b_2 b_2) a) c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (-.f64 (/.f64 (.f64 b_2 b_2) a) c)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* a c))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) c)) a) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) c)) a) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) c)) a) (-.f64 #s(literal 0 binary64) c))

eval240.0ms (2.2%)

Compiler: Compiled 39359 to 4953 computations (87.4% saved)

prune240.0ms (2.2%)

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1782	31	1813
Fresh	7	6	13
Picked	3	2	5
Done	0	1	1
Total	1792	40	1832

Accuracy

90.7%

Counts

1832 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) b_2) a)
	30.3%	(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
	27.9%	(/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a))
	36.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	36.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))) (*.f64 b_2 #s(literal 2 binary64)))))
	30.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))))
	33.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
	26.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
	34.9%	(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
	44.7%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
▶	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	30.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	36.7%	(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
	23.6%	(/.f64 (+.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a b_2)) (/.f64 a (.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
	36.9%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) a)
	29.0%	(/.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) a)
	26.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a (/.f64 #s(literal -2 binary64) c))) a)
	29.0%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
	35.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	31.2%	(/.f64 (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a a))
	11.5%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64))) a)) #s(literal -1 binary64))) a)
	34.8%	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
	49.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	36.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	36.9%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
	31.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)) (.f64 c #s(literal -1/2 binary64)))
▶	26.7%	(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
	27.9%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
	28.3%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
	29.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
	34.9%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
▶	49.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
▶	36.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	11.1%	(.f64 (.f64 c c) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) (.f64 c b_2))))
▶	35.4%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
✓	37.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	18.4%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
	17.1%	(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1164 to 804 computations (30.9% saved)

simplify155.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
✓	cost-diff	0	(*.f64 c #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 b_2 b_2))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
✓	cost-diff	128	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(*.f64 c a)
✓	cost-diff	0	(/.f64 (*.f64 c a) b_2)
✓	cost-diff	256	(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	cost-diff	64	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a)
✓	cost-diff	128	(/.f64 a (/.f64 #s(literal 1 binary64) c))
✓	cost-diff	128	(-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c)))
✓	cost-diff	128	(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))

Rules

3192×	`-lowering-.f32`
3192×	`-lowering-.f64`
1856×	`sum3-define`
1694×	`neg-lowering-neg.f64`
1694×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	180
1	91	168
2	215	160
3	458	159
4	906	155
5	1914	155
6	4869	155
0	8860	155

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ a (/ 1 c))))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (/ a (/ 1 c)))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (/ a (/ 1 c))))
(- (* b_2 b_2) (/ a (/ 1 c)))
(* b_2 b_2)
(/ a (/ 1 c))
a
(/ 1 c)
1
c
(* (/ -2 a) b_2)
(/ -2 a)
-2
a
b_2
(* (/ (* c a) b_2) (/ -1/2 a))
(/ (* c a) b_2)
(* c a)
c
a
b_2
(/ -1/2 a)
-1/2
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
b_2
(+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a))
(/ (* c 1/2) (* b_2 b_2))
(* c 1/2)
c
1/2
(* b_2 b_2)
(/ -2 a)
-2
a
(* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))
(/ -1 a)
-1
a
(+ b_2 (sqrt (- (* b_2 b_2) (* c a))))
b_2
(sqrt (- (* b_2 b_2) (* c a)))
(- (* b_2 b_2) (* c a))
(* b_2 b_2)
(* c a)
c

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

localize312.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	accuracy	95.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
✓	accuracy	77.7%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
✓	accuracy	90.6%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
✓	accuracy	85.3%	(/.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) a)
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	90.5%	(/.f64 (*.f64 c a) b_2)
✓	accuracy	83.8%	(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	99.1%	(-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c)))
✓	accuracy	95.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a)
✓	accuracy	77.7%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c)))))
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))

Results

131.0ms	172×	0	valid
94.0ms	64×	2	valid
42.0ms	20×	1	valid

Compiler

Compiled 200 to 32 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-div: 31.0ms (24.6% of total)

ival-sub: 30.0ms (23.8% of total)

ival-neg: 25.0ms (19.8% of total)

ival-mult: 17.0ms (13.5% of total)

backward-pass: 11.0ms (8.7% of total)

ival-sqrt: 7.0ms (5.6% of total)

ival-add: 4.0ms (3.2% of total)

const: 1.0ms (0.8% of total)

series27.0ms (0.2%)

Counts

21 → 588

Calls

Call 1

Inputs
#<alt (sqrt (- (* b_2 b_2) (/ a (/ 1 c))))>
#<alt (- (* b_2 b_2) (/ a (/ 1 c)))>
#<alt (/ a (/ 1 c))>
#<alt (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ a (/ 1 c))))) a)>
#<alt (* (/ -2 a) b_2)>
#<alt (/ -2 a)>
#<alt (* (/ (* c a) b_2) (/ -1/2 a))>
#<alt (/ (* c a) b_2)>
#<alt (* c a)>
#<alt (/ -1/2 a)>
#<alt (* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))>
#<alt (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a))>
#<alt (/ (* c 1/2) (* b_2 b_2))>
#<alt (* c 1/2)>
#<alt (* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))>
#<alt (/ -1 a)>
#<alt (+ b_2 (sqrt (- (* b_2 b_2) (* c a))))>
#<alt (sqrt (- (* b_2 b_2) (* c a)))>
#<alt (- (neg b_2) (sqrt (- (* b_2 b_2) (/ a (/ 1 c)))))>
#<alt (* b_2 b_2)>
#<alt (- (* b_2 b_2) (* c a))>

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

Calls

147 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	-inf	(* (/ -2 a) b_2)
1.0ms	b_2	@	0	(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
1.0ms	a	@	0	(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
0.0ms	c	@	0	(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
0.0ms	c	@	inf	(/ (* c 1/2) (* b_2 b_2))

rewrite234.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3250×	`-lowering-.f32`
3250×	`-lowering-.f64`
2952×	`/-lowering-/.f32`
2952×	`/-lowering-/.f64`
1584×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	145
1	155	134
2	878	125
3	7581	125
0	8179	125

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 929

Calls

Call 1

Inputs
(sqrt (- (* b_2 b_2) (/ a (/ 1 c))))
(- (* b_2 b_2) (/ a (/ 1 c)))
(/ a (/ 1 c))
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (/ a (/ 1 c))))) a)
(* (/ -2 a) b_2)
(/ -2 a)
(* (/ (* c a) b_2) (/ -1/2 a))
(/ (* c a) b_2)
(* c a)
(/ -1/2 a)
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
(+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a))
(/ (* c 1/2) (* b_2 b_2))
(* c 1/2)
(* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))
(/ -1 a)
(+ b_2 (sqrt (- (* b_2 b_2) (* c a))))
(sqrt (- (* b_2 b_2) (* c a)))
(- (neg b_2) (sqrt (- (* b_2 b_2) (/ a (/ 1 c)))))
(* b_2 b_2)
(- (* b_2 b_2) (* c a))

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

simplify346.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6054×	`-lowering-.f32`
6054×	`-lowering-.f64`
2664×	`+-lowering-+.f64`
2664×	`+-lowering-+.f32`
1426×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	614	7480
1	2169	6988
2	7867	6976
0	8017	6976

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (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)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (.f64 b_2 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))) (.f64 c c))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))))
(+ (* (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)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (.f64 b_2 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))) (.f64 c c))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))))
(* 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)))))))
(.f64 b_2 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 b_2 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_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)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) b_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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #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))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) b_2) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))))
(.f64 a (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 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))))))
(.f64 a (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (+.f64 b_2 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))) a)))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) a)) a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (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)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (.f64 b_2 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))) (.f64 c c))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))))
(+ (* (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)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (.f64 b_2 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))) (.f64 c c))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))))
(* 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)))))))
(.f64 b_2 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 b_2 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_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)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) b_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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)) (.f64 (.f64 a a) (.f64 (.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a (*.f64 a c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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)))))
(.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))))
(* 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))))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #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 #s(literal 0 binary64) (.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c 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 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) (.f64 #s(literal 1/16 binary64) (.f64 (*.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))))))) (-.f64 #s(literal 0 binary64) c))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #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))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (.f64 b_2 (*.f64 b_2 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))))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) b_2) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))))
(.f64 a (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 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))))))
(.f64 a (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -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))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) a))
(* -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)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 b_2 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 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))))
(- (* 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)))
(-.f64 (.f64 b_2 (+.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))) (.f64 c c))) (.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(.f64 b_2 (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) b_2)))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 b_2 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) b_2))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 b_2 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2)
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (.f64 b_2 b_2))) (.f64 (*.f64 a c) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 c (.f64 c c))) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 a c) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a (.f64 c c)))) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) #s(literal 1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (/.f64 (.f64 (.f64 c c) #s(literal 1/8 binary64)) b_2) (*.f64 b_2 b_2)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(.f64 a (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 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)))))
(.f64 a (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))) (.f64 c c))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 b_2 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(* -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)))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c)))))) a)) b_2) (-.f64 #s(literal 0 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 c (+.f64 (/.f64 (.f64 (.f64 a (.f64 a c)) #s(literal 1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal 1/2 binary64) a) b_2))))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 c (+.f64 (.f64 c (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 a (.f64 a c)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))))) (/.f64 (.f64 #s(literal 1/2 binary64) a) b_2))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(.f64 c (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 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)))))
(.f64 c (-.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 c a)))))) (-.f64 #s(literal 0 binary64) c)) b_2) (-.f64 #s(literal 0 binary64) c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))

eval319.0ms (2.9%)

Compiler: Compiled 27466 to 3223 computations (88.3% saved)

prune365.0ms (3.3%)

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	1628	19	1647
Fresh	10	22	32
Picked	2	3	5
Done	0	3	3
Total	1640	47	1687

Accuracy

90.7%

Counts

1687 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.3%	(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
	27.2%	(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
	34.7%	(/.f64 (/.f64 a (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c) b_2))
	36.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	30.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))))
	33.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
	26.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
	34.9%	(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
	44.7%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	30.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	36.7%	(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
	23.6%	(/.f64 (+.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a b_2)) (/.f64 a (.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
	8.6%	(/.f64 (.f64 (+.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 (.f64 (/.f64 (*.f64 b_2 b_2) c) a) #s(literal -1 binary64)))
	22.2%	(/.f64 (.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 a (/.f64 (/.f64 b_2 c) #s(literal 1/2 binary64)))) b_2) (*.f64 b_2 a))
	29.0%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
	35.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	31.2%	(/.f64 (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a a))
	11.5%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64))) a)) #s(literal -1 binary64))) a)
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))))
	34.8%	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
▶	49.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	36.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	36.9%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
	31.4%	(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
▶	31.9%	(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
	26.7%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 #s(literal -1/2 binary64) a))
	29.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
	27.2%	(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
	34.9%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
▶	30.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
✓	36.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
▶	30.2%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
	16.6%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
	28.7%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) (*.f64 a c)))))
	11.5%	(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
	31.6%	(.f64 b_2 (/.f64 (neg.f64 (+.f64 (.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2)) (/.f64 b_2 #s(literal 1/2 binary64)))) (*.f64 b_2 a)))
	36.8%	(*.f64 b_2 (+.f64 (/.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -2 binary64) a)))
✓	35.4%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	34.5%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b_2)))) (/.f64 #s(literal -2 binary64) a)))
	27.5%	(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))))
▶	11.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
✓	37.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	18.4%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
	17.1%	(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1332 to 925 computations (30.6% saved)

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal -1 binary64) b_2))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) a)
✓	cost-diff	256	(.f64 (-.f64 #s(literal 0 binary64) a) (.f64 c (/.f64 #s(literal -1 binary64) b_2)))
✓	cost-diff	512	(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
✓	cost-diff	0	(/.f64 b_2 c)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c))
✓	cost-diff	256	(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
✓	cost-diff	0	(/.f64 c b_2)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	cost-diff	0	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))

Rules

1888×	`sum3-define`
1794×	`-lowering-.f32`
1794×	`-lowering-.f64`
1452×	`fma-define`
1452×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	166
1	81	163
2	204	157
3	613	147
4	2013	147
5	4859	147
0	8374	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ -1 (/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a))))))
-1
(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))
a
(+ b_2 (sqrt (- (* b_2 b_2) (* c a))))
b_2
(sqrt (- (* b_2 b_2) (* c a)))
(- (* b_2 b_2) (* c a))
(* b_2 b_2)
(* c a)
c
(* 1/2 (/ c b_2))
1/2
(/ c b_2)
c
b_2
(* (/ (/ -1/2 a) (/ b_2 c)) a)
(/ (/ -1/2 a) (/ b_2 c))
(/ -1/2 a)
-1/2
a
(/ b_2 c)
b_2
c
(* (* (- 0 a) (* c (/ -1 b_2))) (/ -1/2 a))
(* (- 0 a) (* c (/ -1 b_2)))
(- 0 a)
0
a
(* c (/ -1 b_2))
c
(/ -1 b_2)
-1
b_2
(/ -1/2 a)
-1/2
(* (/ -1 a) (+ b_2 (sqrt (- 0 (* a c)))))
(/ -1 a)
-1
a
(+ b_2 (sqrt (- 0 (* a c))))
b_2
(sqrt (- 0 (* a c)))
(- 0 (* a c))
0
(* a c)
c

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

localize342.0ms (3.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
✓	accuracy	83.6%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) a)
✓	accuracy	99.8%	(*.f64 c (/.f64 #s(literal -1 binary64) b_2))
✓	accuracy	94.9%	(.f64 (-.f64 #s(literal 0 binary64) a) (.f64 c (/.f64 #s(literal -1 binary64) b_2)))
✓	accuracy	88.5%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
✓	accuracy	100.0%	(/.f64 b_2 c)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) a)
✓	accuracy	96.2%	(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c))
✓	accuracy	92.2%	(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
✓	accuracy	100.0%	(/.f64 c b_2)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
✓	accuracy	96.8%	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
✓	accuracy	85.9%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	accuracy	73.2%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Results

90.0ms	120×	0	valid
67.0ms	38×	2	valid
34.0ms	86×	0	invalid
11.0ms	12×	1	valid

Compiler

Compiled 186 to 32 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 21.0ms (31.8% of total)

ival-div: 17.0ms (25.8% of total)

ival-sub: 9.0ms (13.6% of total)

backward-pass: 7.0ms (10.6% of total)

ival-add: 7.0ms (10.6% of total)

ival-sqrt: 5.0ms (7.6% of total)

const: 1.0ms (1.5% of total)

series30.0ms (0.3%)

Counts

19 → 540

Calls

Call 1

Inputs
#<alt (/ -1 (/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a))))))>
#<alt (/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))>
#<alt (+ b_2 (sqrt (- (* b_2 b_2) (* c a))))>
#<alt (sqrt (- (* b_2 b_2) (* c a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ c b_2)>
#<alt (* (/ (/ -1/2 a) (/ b_2 c)) a)>
#<alt (/ (/ -1/2 a) (/ b_2 c))>
#<alt (/ -1/2 a)>
#<alt (/ b_2 c)>
#<alt (* (* (- 0 a) (* c (/ -1 b_2))) (/ -1/2 a))>
#<alt (* (- 0 a) (* c (/ -1 b_2)))>
#<alt (- 0 a)>
#<alt (* c (/ -1 b_2))>
#<alt (* (/ -1 a) (+ b_2 (sqrt (- 0 (* a c)))))>
#<alt (/ -1 a)>
#<alt (+ b_2 (sqrt (- 0 (* a c))))>
#<alt (sqrt (- 0 (* a c)))>
#<alt (* a c)>

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
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#<alt (* -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)))))))>
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#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (/ b_2 c)>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (* a c) b_2)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))>
#<alt (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))>
#<alt (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))>
#<alt (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))>
#<alt (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))>
#<alt b_2>
#<alt (* -1 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1)))>
#<alt (* -1 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1)))>
#<alt (* -1 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>

Calls

135 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(/ c b_2)
1.0ms	a	@	0	(* (/ -1 a) (+ b_2 (sqrt (- 0 (* a c)))))
1.0ms	c	@	inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))
1.0ms	a	@	inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))
1.0ms	c	@	-inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))

rewrite252.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2226×	`-lowering-.f32`
2226×	`-lowering-.f64`
2012×	`sum4-define`
1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	123
1	135	119
2	720	105
3	5363	104
0	8486	104

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1479

Calls

Call 1

Inputs
(/ -1 (/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a))))))
(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* c a)))))
(+ b_2 (sqrt (- (* b_2 b_2) (* c a))))
(sqrt (- (* b_2 b_2) (* c a)))
(* 1/2 (/ c b_2))
(/ c b_2)
(* (/ (/ -1/2 a) (/ b_2 c)) a)
(/ (/ -1/2 a) (/ b_2 c))
(/ -1/2 a)
(/ b_2 c)
(* (* (- 0 a) (* c (/ -1 b_2))) (/ -1/2 a))
(* (- 0 a) (* c (/ -1 b_2)))
(- 0 a)
(* c (/ -1 b_2))
(* (/ -1 a) (+ b_2 (sqrt (- 0 (* a c)))))
(/ -1 a)
(+ b_2 (sqrt (- 0 (* a c))))
(sqrt (- 0 (* a c)))
(* a c)

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

simplify400.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

7740×	`-lowering-.f32`
7740×	`-lowering-.f64`
3896×	`+-lowering-+.f64`
3896×	`+-lowering-+.f32`
1868×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	750	6056
1	2605	5675
0	8834	5675

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) 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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* 1/2 (/ a b_2))
(* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* 1/2 (/ a b_2))
(/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)
(/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)
(* 2 (/ b_2 c))
(* -1 (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))))
(* -1 (* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))))
(* 1/2 (/ a b_2))
(+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))
(+ (* 1/2 (/ a b_2)) (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))
(+ (* 1/2 (/ a b_2)) (* c (- (* c (- (* -1 (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7)))))) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) a))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* (sqrt (* a c)) (sqrt -1))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -1)))
(* 2 b_2)
(* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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)))))))
(* 1/2 (/ (* a c) b_2))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -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 (/ (+ (* -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))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ (* 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* (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)) (/ 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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -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))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ (* 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* (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)) (/ 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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 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
(* 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 b_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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) 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))))))))
(* (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))))
(* 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))))))
(* -1 (* (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)))))))
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))))))))
(* (sqrt (* a c)) (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))))))
(* -1 (* (sqrt (* a c)) (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)))))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(* -1/2 (/ c (* a b_2)))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(/ b_2 c)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ c b_2))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) 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 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ 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 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* -1 (/ b_2 a))
(* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* (sqrt (* a c)) (sqrt -1))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
b_2
(* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))
(* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))
(* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))
b_2
(* -1 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1)))
(* -1 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1)))
(* -1 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)

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

eval369.0ms (3.3%)

Compiler: Compiled 30068 to 3170 computations (89.5% saved)

prune252.0ms (2.3%)

Pruning

57 alts after pruning (50 fresh and 7 done)

	Pruned	Kept	Total
New	2032	23	2055
Fresh	9	27	36
Picked	3	2	5
Done	1	5	6
Total	2045	57	2102

Accuracy

99.3%

Counts

2102 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.3%	(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
	27.2%	(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
	36.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	30.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))))
	33.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
	26.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
	11.5%	(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
	34.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c))
	34.9%	(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
✓	49.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	30.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	36.7%	(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
	19.1%	(/.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) a) (.f64 a b_2)) (.f64 (-.f64 #s(literal 0 binary64) a) a))
	30.3%	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)) a) (-.f64 #s(literal 0 binary64) a))
	8.6%	(/.f64 (.f64 (+.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 (.f64 (/.f64 (*.f64 b_2 b_2) c) a) #s(literal -1 binary64)))
	29.0%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
	35.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	11.5%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64))) a)) #s(literal -1 binary64))) a)
	31.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 c b_2)) (*.f64 a #s(literal -1/2 binary64))))
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))))
	30.7%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))))
	34.8%	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
	35.2%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))))
	34.0%	(/.f64 #s(literal -1 binary64) (.f64 b_2 (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))))
	36.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	36.9%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
	27.6%	(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b_2) (/.f64 #s(literal -1 binary64) c)) a)
	31.4%	(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
	27.6%	(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b_2)) (/.f64 #s(literal 1 binary64) c)) a)
✓	31.9%	(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
	19.1%	(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (exp.f64 (.f64 (log.f64 (/.f64 c b_2)) #s(literal -1 binary64)))) a)
	26.7%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 #s(literal -1/2 binary64) a))
	16.1%	(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 b_2 c)) a)
	29.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
	11.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
	31.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 c b_2))) a)
	27.2%	(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
	31.5%	(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) a))
	34.9%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	29.9%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 c (/.f64 a #s(literal 1/2 binary64))))) a)
	17.9%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))))
	20.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))))
	30.7%	(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) c))))))
✓	30.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
✓	36.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	30.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
	27.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c))) a)
	30.2%	(.f64 (.f64 (neg.f64 a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
	16.6%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
	11.5%	(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
	31.6%	(.f64 b_2 (/.f64 (neg.f64 (+.f64 (.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2)) (/.f64 b_2 #s(literal 1/2 binary64)))) (*.f64 b_2 a)))
	36.8%	(*.f64 b_2 (+.f64 (/.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -2 binary64) a)))
✓	35.4%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
✓	37.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	18.4%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
	17.1%	(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1953 to 942 computations (51.8% saved)

regimes147.0ms (1.3%)

Counts

92 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))))
(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 c b_2))) a)
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) a)
(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 c (/.f64 a #s(literal 1/2 binary64))))) a)
(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) a))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b_2)) (/.f64 #s(literal 1 binary64) c)) a)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b_2) (/.f64 #s(literal -1 binary64) c)) a)
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 c b_2)) (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)) a) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a (/.f64 #s(literal -2 binary64) c))) a)
(/.f64 (/.f64 a (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c) b_2))
(/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) b_2) a)
(.f64 (.f64 (neg.f64 a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (+.f64 (/.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -2 binary64) a)))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) (*.f64 a c)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))))
(/.f64 #s(literal -1 binary64) (.f64 b_2 (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 a (/.f64 (/.f64 b_2 c) #s(literal 1/2 binary64)))) b_2) (*.f64 b_2 a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))) (*.f64 b_2 #s(literal 2 binary64)))))
(.f64 b_2 (/.f64 (neg.f64 (+.f64 (.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2)) (/.f64 b_2 #s(literal 1/2 binary64)))) (*.f64 b_2 a)))
(.f64 (.f64 c c) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) (.f64 c b_2))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (.f64 (+.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 (.f64 (/.f64 (*.f64 b_2 b_2) c) a) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) c))))))
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (/.f64 c (/.f64 #s(literal 1 binary64) a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a a))
(/.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) a) (.f64 a b_2)) (.f64 (-.f64 #s(literal 0 binary64) a) a))
(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))))
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 b_2 c)) a)
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (exp.f64 (.f64 (log.f64 (/.f64 c b_2)) #s(literal -1 binary64)))) a)
(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64))) a)) #s(literal -1 binary64))) a)
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b_2)))) (/.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 a (-.f64 #s(literal 0 binary64) a)) (.f64 c (-.f64 #s(literal 0 binary64) a)))))) a)
(/.f64 (+.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a b_2)) (/.f64 a (.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)

Outputs

(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

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

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

Calls

4 calls:

47.0ms	c
32.0ms	a
31.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
28.0ms	b_2

Results

Accuracy	Segments	Branch
53.6%	2	`a`
83.4%	3	`b_2`
55.4%	3	`c`
72.7%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes28.0ms (0.3%)

Counts

75 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))))
(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 c b_2))) a)
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) a)
(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 c (/.f64 a #s(literal 1/2 binary64))))) a)
(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) a))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b_2)) (/.f64 #s(literal 1 binary64) c)) a)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b_2) (/.f64 #s(literal -1 binary64) c)) a)
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 c b_2)) (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)) a) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a (/.f64 #s(literal -2 binary64) c))) a)
(/.f64 (/.f64 a (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c) b_2))
(/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) b_2) a)
(.f64 (.f64 (neg.f64 a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (+.f64 (/.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -2 binary64) a)))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) (*.f64 a c)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))))
(/.f64 #s(literal -1 binary64) (.f64 b_2 (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 a (/.f64 (/.f64 b_2 c) #s(literal 1/2 binary64)))) b_2) (*.f64 b_2 a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))) (*.f64 b_2 #s(literal 2 binary64)))))
(.f64 b_2 (/.f64 (neg.f64 (+.f64 (.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2)) (/.f64 b_2 #s(literal 1/2 binary64)))) (*.f64 b_2 a)))
(.f64 (.f64 c c) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) (.f64 c b_2))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (.f64 (+.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 (.f64 (/.f64 (*.f64 b_2 b_2) c) a) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) c))))))
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))))

Outputs

(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

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

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

Calls

1 calls:

22.0ms

b_2

Results

Accuracy	Segments	Branch
83.4%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.3%)

Counts

68 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))))
(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 c b_2))) a)
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) a)
(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 c (/.f64 a #s(literal 1/2 binary64))))) a)
(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) a))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b_2)) (/.f64 #s(literal 1 binary64) c)) a)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b_2) (/.f64 #s(literal -1 binary64) c)) a)
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 c b_2)) (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)) a) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a (/.f64 #s(literal -2 binary64) c))) a)
(/.f64 (/.f64 a (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c) b_2))
(/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) b_2) a)
(.f64 (.f64 (neg.f64 a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (+.f64 (/.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -2 binary64) a)))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) (*.f64 a c)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))))
(/.f64 #s(literal -1 binary64) (.f64 b_2 (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 a (/.f64 (/.f64 b_2 c) #s(literal 1/2 binary64)))) b_2) (*.f64 b_2 a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))) (*.f64 b_2 #s(literal 2 binary64)))))
(.f64 b_2 (/.f64 (neg.f64 (+.f64 (.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2)) (/.f64 b_2 #s(literal 1/2 binary64)))) (*.f64 b_2 a)))
(.f64 (.f64 c c) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) (.f64 c b_2))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (.f64 (+.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 (.f64 (/.f64 (*.f64 b_2 b_2) c) a) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))))

Outputs

(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)

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

Calls

1 calls:

22.0ms

b_2

Results

Accuracy	Segments	Branch
81.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts

65 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))))
(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 c b_2))) a)
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) a)
(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 c (/.f64 a #s(literal 1/2 binary64))))) a)
(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) a))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b_2)) (/.f64 #s(literal 1 binary64) c)) a)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b_2) (/.f64 #s(literal -1 binary64) c)) a)
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 c b_2)) (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)) a) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a (/.f64 #s(literal -2 binary64) c))) a)
(/.f64 (/.f64 a (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c) b_2))
(/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)) a)
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) b_2) a)
(.f64 (.f64 (neg.f64 a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (+.f64 (/.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -2 binary64) a)))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) (*.f64 a c)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 c a))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (*.f64 c (/.f64 #s(literal -1 binary64) b_2))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))))
(/.f64 #s(literal -1 binary64) (.f64 b_2 (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 a (/.f64 (/.f64 b_2 c) #s(literal 1/2 binary64)))) b_2) (*.f64 b_2 a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))) (*.f64 b_2 #s(literal 2 binary64)))))
(.f64 b_2 (/.f64 (neg.f64 (+.f64 (.f64 c (/.f64 (/.f64 a #s(literal -2 binary64)) b_2)) (/.f64 b_2 #s(literal 1/2 binary64)))) (*.f64 b_2 a)))
(.f64 (.f64 c c) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) (.f64 c b_2))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (.f64 (+.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 (.f64 (/.f64 (*.f64 b_2 b_2) c) a) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 c (+.f64 (/.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 b_2 (/.f64 c b_2))) #s(literal 1/2 binary64))))) a)
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 c (/.f64 c (.f64 b_2 b_2)))) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)

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

Calls

1 calls:

19.0ms

b_2

Results

Accuracy	Segments	Branch
69.5%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

33 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))))
(.f64 b_2 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) b_2))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b_2 a)) (*.f64 a c))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 c b_2))) a)
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
(.f64 (/.f64 (.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b_2 c)) a)
(*.f64 (/.f64 (/.f64 a b_2) a) (/.f64 c #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) a)
(/.f64 (/.f64 c (/.f64 #s(literal -2 binary64) a)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 c (/.f64 a #s(literal 1/2 binary64))))) a)
(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) a))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b_2)) (/.f64 #s(literal 1 binary64) c)) a)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b_2) (/.f64 #s(literal -1 binary64) c)) a)

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
69.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
69.3%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

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

Calls

3 calls:

2.0ms	c
2.0ms	b_2
2.0ms	a

Results

Accuracy	Segments	Branch
37.0%	1	`a`
37.0%	1	`c`
45.9%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Outputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Calls

2 calls:

1.0ms	b_2
1.0ms	a

Results

Accuracy	Segments	Branch
37.0%	1	`a`
37.0%	1	`b_2`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.575417516361746e-15	3.4518519263073904e-12
36.0ms	-9.379596297100622e-14	-2.051835323696567e-14

Results

22.0ms	22×	2	valid
14.0ms	171×	0	valid
6.0ms	31×	1	valid
2.0ms	22×	0	invalid

Compiler

Compiled 462 to 327 computations (29.2% saved)

Precisions

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

ival-neg: 18.0ms (56.8% of total)

ival-mult: 5.0ms (15.8% of total)

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

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

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

backward-pass: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.575417516361746e-15	3.4518519263073904e-12
18.0ms	-9.379596297100622e-14	-2.051835323696567e-14

Results

19.0ms	186×	0	valid
4.0ms	24×	1	valid
4.0ms	14×	2	valid
3.0ms	41×	0	invalid

Compiler

Compiled 434 to 299 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42.4% of total)

ival-sub: 3.0ms (15.9% of total)

ival-div: 2.0ms (10.6% of total)

ival-sqrt: 2.0ms (10.6% of total)

ival-neg: 2.0ms (10.6% of total)

backward-pass: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.575417516361746e-15	3.4518519263073904e-12
23.0ms	-9.379596297100622e-14	-2.051835323696567e-14

Results

22.0ms	172×	0	valid
7.0ms	24×	2	valid
5.0ms	28×	1	valid
2.0ms	24×	0	invalid

Compiler

Compiled 406 to 299 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (41.1% of total)

ival-sqrt: 3.0ms (15.4% of total)

ival-div: 3.0ms (15.4% of total)

ival-sub: 3.0ms (15.4% of total)

ival-neg: 2.0ms (10.3% of total)

backward-pass: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-1.7494897368655426e-277	1.3969608547406652e-303

Results

14.0ms	176×	0	valid
9.0ms	71×	0	invalid

Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions

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

ival-mult: 4.0ms (35.6% of total)

ival-sub: 2.0ms (17.8% of total)

ival-div: 2.0ms (17.8% of total)

ival-sqrt: 2.0ms (17.8% of total)

ival-neg: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-1.7494897368655426e-277	1.3969608547406652e-303

Results

18.0ms	176×	0	valid
7.0ms	83×	0	invalid

Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions

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

ival-mult: 4.0ms (33.9% of total)

ival-sub: 3.0ms (25.4% of total)

ival-div: 2.0ms (17% of total)

ival-sqrt: 2.0ms (17% of total)

ival-neg: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-1.7494897368655426e-277	1.3969608547406652e-303

Results

18.0ms	176×	0	valid
11.0ms	102×	0	invalid

Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions

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

ival-mult: 4.0ms (31.4% of total)

ival-sub: 3.0ms (23.6% of total)

ival-div: 2.0ms (15.7% of total)

ival-sqrt: 2.0ms (15.7% of total)

ival-neg: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-2.1951602586072058e-5	-9.379596297100622e-14

Results

16.0ms	45×	2	valid
6.0ms	68×	0	valid
6.0ms	31×	1	valid
2.0ms	27×	0	invalid

Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (26% of total)

ival-sub: 3.0ms (19.5% of total)

ival-sqrt: 2.0ms (13% of total)

ival-div: 2.0ms (13% of total)

backward-pass: 2.0ms (13% of total)

ival-neg: 2.0ms (13% of total)

const: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

100×	`unsub-neg_binary64`
94×	`neg-mul-1_binary64`
50×	`+-commutative_binary64`
44×	`*-commutative_binary64`
42×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	177
1	90	177
2	124	177
3	164	177
4	190	177
5	205	177
6	271	177
7	379	177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -1663791412799551/79228162514264337593543950336 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1188422437713965/39614081257132168796771975168 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -6813621976226733/316912650057057350374175801344 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4951760157141521/39614081257132168796771975168 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -8096090132292425/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -7791904696734915/4722366482869645213696 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Outputs
(if (<=.f64 b_2 #s(literal -1663791412799551/79228162514264337593543950336 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal 1 binary64) c))))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1663791412799551/79228162514264337593543950336 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (/.f64 a (/.f64 #s(literal -1 binary64) c))))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1188422437713965/39614081257132168796771975168 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1188422437713965/39614081257132168796771975168 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4208996133570293/1237940039285380274899124224 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -6813621976226733/316912650057057350374175801344 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4951760157141521/39614081257132168796771975168 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -6813621976226733/316912650057057350374175801344 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4951760157141521/39614081257132168796771975168 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -8096090132292425/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -8096090132292425/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -7791904696734915/4722366482869645213696 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

soundness1.2s (10.4%)

Rules

6054×	`-lowering-.f32`
6054×	`-lowering-.f64`
5214×	`-lowering-.f32`
5214×	`-lowering-.f64`
4402×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	46	40
2	146	36
3	747	36
4	4426	36
0	8013	36
0	528	3005
1	1844	2793
2	6555	2771
0	8057	2771
0	39	223
1	183	205
2	1092	186
0	8006	186
0	614	7480
1	2169	6988
2	7867	6976
0	8017	6976

Stop Event

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

Compiler

Compiled 406 to 221 computations (45.6% saved)

preprocess105.0ms (0.9%)

Compiler: Compiled 584 to 196 computations (66.4% saved)

analyze195.0ms (1.8%)

sample2.1s (19.3%)

preprocess163.0ms (1.5%)

explain207.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (0.6%)

localize84.0ms (0.8%)

series32.0ms (0.3%)

rewrite246.0ms (2.2%)

simplify726.0ms (6.5%)

eval86.0ms (0.8%)

prune119.0ms (1.1%)

simplify194.0ms (1.8%)

localize309.0ms (2.8%)

series73.0ms (0.7%)

rewrite248.0ms (2.2%)

simplify359.0ms (3.2%)

eval240.0ms (2.2%)

prune240.0ms (2.2%)

simplify155.0ms (1.4%)

localize312.0ms (2.8%)

series27.0ms (0.2%)

rewrite234.0ms (2.1%)

simplify346.0ms (3.1%)

eval319.0ms (2.9%)

prune365.0ms (3.3%)

simplify143.0ms (1.3%)

localize342.0ms (3.1%)

series30.0ms (0.3%)

rewrite252.0ms (2.3%)

simplify400.0ms (3.6%)

eval369.0ms (3.3%)

prune252.0ms (2.3%)

regimes147.0ms (1.3%)

regimes28.0ms (0.3%)

regimes28.0ms (0.3%)

regimes23.0ms (0.2%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch59.0ms (0.5%)

bsearch43.0ms (0.4%)

bsearch48.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch40.0ms (0.4%)

bsearch37.0ms (0.3%)

simplify20.0ms (0.2%)

soundness1.2s (10.4%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling