Metrics for quad2p (problem 3.2.1, positive)

analyze128.0ms (1.3%)

Memory

-0.9MiB live, 122.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (15.1%)

Memory

-7.5MiB live, 1 944.8MiB allocated

Samples

416.0ms	5 574×	0	valid
266.0ms	1 134×	2	valid
263.0ms	1 325×	1	valid
109.0ms	1 069×	0	invalid
54.0ms	217×	3	valid
2.0ms	6×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 813.0ms

ival-mult: 184.0ms (22.6% of total)

ival-add: 151.0ms (18.6% of total)

ival-sqrt: 129.0ms (15.9% of total)

ival-div: 123.0ms (15.1% of total)

ival-neg: 93.0ms (11.4% of total)

ival-sub: 79.0ms (9.7% of total)

adjust: 44.0ms (5.4% of total)

ival-true: 7.0ms (0.9% of total)

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

Bogosity

preprocess121.0ms (1.2%)

Memory

8.1MiB live, 96.5MiB allocated

Algorithm

2×	egg-herbie

Rules

1 014×	`div-sub`
798×	`times-frac`
442×	`associate-/r*`
416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	119	123
2	250	121
3	694	121
4	1801	121
5	3275	121
6	3876	121
7	3981	121
8	4069	121
9	4093	121
10	4093	121
0	10	13
1	21	12
2	38	12
3	67	12
4	106	12
5	182	12
6	314	12
7	460	12
8	802	12
9	915	12
10	947	12
11	958	12
12	959	12
0	959	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

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

explain233.0ms (2.4%)

Memory

-17.5MiB live, 153.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
101	-	1	(-1.8419322144400454e-127 -2.137120638361275e-277 2.560715166140766e-191)	`(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	-	1	(-5.040370555889045e-167 3.786402408841803e-126 8.61809946810425e-275)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
10	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	96	0
↳	`(*.f64 b_2 b_2)`	overflow	82
↳	`(*.f64 a c)`	overflow	28
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	96
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	62	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	12	0
↳	`(*.f64 b_2 b_2)`	underflow	45
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	26
↳	`(*.f64 a c)`	underflow	41
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	10	0
↳	`(*.f64 b_2 b_2)`	overflow	82
↳	`(*.f64 a c)`	overflow	28
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	45
↳	`(*.f64 a c)`	underflow	41
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4

Confusion

	Predicted +	Predicted -
+	127	1
-	20	108

Precision

0.8639455782312925

Recall

0.9921875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	1
-	20	0	108

Precision?

0.8639455782312925

Recall?

0.9921875

Freqs

test

number	freq
0	109
1	114
2	29
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	336×	0	valid
16.0ms	66×	2	valid
13.0ms	88×	1	valid
6.0ms	22×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 9.0ms (24.9% of total)

ival-div: 6.0ms (16.6% of total)

ival-sqrt: 6.0ms (16.6% of total)

ival-sub: 4.0ms (11.1% of total)

ival-neg: 4.0ms (11.1% of total)

ival-add: 4.0ms (11.1% of total)

adjust: 3.0ms (8.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.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)

simplify37.0ms (0.4%)

Memory

-11.4MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
146×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

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

localize70.0ms (0.7%)

Memory

7.5MiB live, 46.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.9%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	77.3%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

32.0ms	11×	3	valid
13.0ms	168×	0	valid
7.0ms	33×	2	valid
6.0ms	44×	1	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 31.0ms (67.3% of total)

ival-mult: 4.0ms (8.7% of total)

ival-sqrt: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

ival-add: 2.0ms (4.3% of total)

adjust: 1.0ms (2.2% of total)

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

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

series18.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite364.0ms (3.7%)

Memory

1.0MiB live, 315.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 898×	`accelerator-lowering-fma.f32`
3 898×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`
3 070×	`-lowering-.f64`
1 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	57	37
2	456	37
3	5874	37
0	8926	33

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify754.0ms (7.7%)

Memory

-13.7MiB live, 731.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
7 132×	`-lowering-.f32`
7 132×	`-lowering-.f64`
3 498×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3176
1	1606	3136
2	5520	3120
0	8782	2984

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval72.0ms (0.7%)

Memory: 15.4MiB live, 171.7MiB allocated
Compiler: Compiled 18 346 to 2 005 computations (89.1% saved)

prune83.0ms (0.8%)

Memory

-6.0MiB live, 237.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	548	12	560
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	549	12	561

Accuracy

93.0%

Counts

561 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	26.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c))))))) a)
	8.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))) (.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))) (.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c))))))) (.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))))) a)
▶	26.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
▶	34.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	9.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))))))) a)
	15.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
▶	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	11.1%	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
▶	36.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	34.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	33.4%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 656 to 304 computations (53.7% saved)

simplify131.0ms (1.3%)

Memory

-9.2MiB live, 109.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))
✓	cost-diff	1216	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 a c))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
✓	cost-diff	-64	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
✓	cost-diff	896	(sqrt.f64 (*.f64 b_2 b_2))
✓	cost-diff	-64	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	-64	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Rules

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
776×	`-lowering-.f32`
776×	`-lowering-.f64`
542×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	152
1	51	142
2	93	142
3	160	142
4	251	142
5	412	142
6	745	142
7	1335	142
8	2392	142
9	2638	142
10	2765	142
11	2845	142
12	2864	142
13	2876	142
14	2916	142
15	3158	142
16	3158	142
0	3158	136

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize101.0ms (1%)

Memory

-22.1MiB live, 237.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	93.1%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
✓	accuracy	93.1%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	83.0%	(sqrt.f64 (*.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))

Samples

38.0ms	170×	0	invalid
17.0ms	86×	0	valid

Compiler

Compiled 166 to 30 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 13.0ms (35.8% of total)

ival-sqrt: 10.0ms (27.5% of total)

ival-mult: 6.0ms (16.5% of total)

ival-add: 5.0ms (13.8% of total)

ival-sub: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

series38.0ms (0.4%)

Memory

29.5MiB live, 105.8MiB allocated

Counts

18 → 444

Calls

Call 1

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

Outputs
#<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)>
#<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 (* -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 (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<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 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -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 (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))>
#<alt (- (* b_2 (sqrt -1)) b_2)>
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#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
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#<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)) (pow (sqrt -1) 3)))))>
#<alt (- (* b_2 (sqrt -1)) b_2)>
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#<alt (- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)>
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#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
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#<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)) (pow (sqrt -1) 3)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (/ (* b_2 (- (sqrt -1) 1)) a)>
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#<alt (* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))>
#<alt (* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))>
#<alt (/ (- (* b_2 (sqrt -1)) b_2) a)>
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#<alt (/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)>
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#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (/ (- (* b_2 (sqrt -1)) b_2) a)>
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#<alt (- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
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#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))>
#<alt (* b_2 (sqrt -1))>
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#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (sqrt -1)))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))>
#<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) (sqrt -1)))) (+ (* 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) (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)) (pow (sqrt -1) 3)))>
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#<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)) (pow (sqrt -1) 3))))))>
#<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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (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) (sqrt -1)))) (+ (* 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) (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 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<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)) (pow (sqrt -1) 3))))))>
#<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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))>
#<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 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))>
#<alt (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)>
#<alt (/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)>
#<alt (/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/ (* b_2 -2) a)
2.0ms	a	@	0	(/ (+ (neg b_2) (sqrt (- 0 (* a c)))) a)
2.0ms	c	@	-inf	(sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))
1.0ms	b_2	@	-inf	(/ (+ (neg b_2) (sqrt (- 0 (* a c)))) a)
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))

rewrite86.0ms (0.9%)

Memory

16.9MiB live, 168.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

754×	`accelerator-lowering-fma.f32`
754×	`accelerator-lowering-fma.f64`
590×	`/-lowering-/.f32`
590×	`/-lowering-/.f64`
570×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	118
1	158	105
0	1256	100

Stop Event

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

Counts

18 → 305

Calls

Call 1

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

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

simplify583.0ms (5.9%)

Memory

2.3MiB live, 989.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 972×	`accelerator-lowering-fma.f32`
8 972×	`accelerator-lowering-fma.f64`
6 138×	`-lowering-.f32`
6 138×	`-lowering-.f64`
3 552×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	5748
1	2065	5647
2	6946	5603
0	8124	5416

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* -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)
(* -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)
(* -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))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
0
0
0
0
0
0
0
0
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
0
0
0
0
0
0
0
0
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
0
0
0
0
0
0
0
0
0
0
0
0
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (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)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 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)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
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(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
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(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
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(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -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)))
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(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a 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))
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(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
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(* (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)))
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(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
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(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
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(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (* a c))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* -1 (* a c))
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(* -1 (* a (+ c (/ (pow b_2 2) a))))
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(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
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(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (* a c))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
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(* -1 (* a c))
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(* -1 (* c (+ a (/ (pow b_2 2) c))))
(* (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) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* b_2 (- (sqrt -1) 1))
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 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)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -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)) (pow (sqrt -1) 3)))))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)
(* (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) (sqrt -1)))) (+ (* 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)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -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)) (pow (sqrt -1) 3)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(/ (- (* b_2 (sqrt -1)) b_2) a)
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* (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) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(* b_2 (sqrt -1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* (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) (sqrt -1)))) (+ (* 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) (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)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -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)) (pow (sqrt -1) 3))))))
(* -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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (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) (sqrt -1)))) (+ (* 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) (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 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -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)) (pow (sqrt -1) 3))))))
(* -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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(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))
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (pow b_2 2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ 1 (pow b_2 2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/ 1 (* a c))
(* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/ 1 (* a c))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))

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

eval208.0ms (2.1%)

Memory: -20.3MiB live, 260.6MiB allocated
Compiler: Compiled 13 427 to 1 663 computations (87.6% saved)

prune89.0ms (0.9%)

Memory

3.8MiB live, 246.0MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	770	17	787
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	777	22	799

Accuracy

93.0%

Counts

799 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.1%	(/.f64 (fma.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (neg.f64 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 c (-.f64 #s(literal 0 binary64) a) (.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))))
	34.0%	(/.f64 (/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
	27.5%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	34.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))) a)
	30.5%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))
	34.9%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a)
	15.3%	(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
▶	26.6%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))) a)
	34.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a))))) a)
✓	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	25.2%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) a)
	33.9%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))))
✓	36.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	34.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	35.7%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
▶	33.4%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
	34.8%	(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2))
▶	36.2%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	34.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
▶	11.1%	#s(literal 0 binary64)

Compiler

Compiled 684 to 414 computations (39.5% saved)

simplify166.0ms (1.7%)

Memory

-14.2MiB live, 310.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	cost-diff	0	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
✓	cost-diff	320	(.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	cost-diff	-64	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
✓	cost-diff	-64	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)

Rules

2 688×	`-lowering-.f32`
2 688×	`-lowering-.f64`
2 486×	`accelerator-lowering-fma.f32`
2 486×	`accelerator-lowering-fma.f64`
2 264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	164
1	57	162
2	127	162
3	332	157
4	945	157
5	2218	157
6	4315	157
7	6731	157
0	8085	148

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize86.0ms (0.9%)

Memory

30.3MiB live, 187.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))) a)
✓	accuracy	99.2%	(fma.f64 c a (*.f64 b_2 b_2))
✓	accuracy	93.0%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	99.9%	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	accuracy	97.1%	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	90.1%	(.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	accuracy	100.0%	(/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)

Samples

35.0ms	170×	0	invalid
16.0ms	86×	0	valid

Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 15.0ms (43.7% of total)

ival-mult: 11.0ms (32.1% of total)

ival-add: 4.0ms (11.7% of total)

ival-sqrt: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

series43.0ms (0.4%)

Memory

-15.8MiB live, 61.4MiB allocated

Counts

15 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	0	(/ b_2 (* c -1/2))
1.0ms	c	@	inf	(- 0 (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))))
1.0ms	a	@	inf	(sqrt (/ -1 (+ (* c a) (* b_2 b_2))))
1.0ms	a	@	-inf	(sqrt (/ -1 (+ (* c a) (* b_2 b_2))))
1.0ms	c	@	inf	(sqrt (/ -1 (+ (* c a) (* b_2 b_2))))

rewrite392.0ms (4%)

Memory

5.7MiB live, 641.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 778×	`/-lowering-/.f32`
4 778×	`/-lowering-/.f64`
4 628×	`accelerator-lowering-fma.f32`
4 628×	`accelerator-lowering-fma.f64`
4 232×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	128
1	161	123
2	1369	117
0	8252	109

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 920

Calls

Call 1

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

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

simplify470.0ms (4.8%)

Memory

34.4MiB live, 705.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 878×	`accelerator-lowering-fma.f32`
10 878×	`accelerator-lowering-fma.f64`
8 440×	`-lowering-.f32`
8 440×	`-lowering-.f64`
3 996×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	6534
1	2349	6348
0	8467	6048

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval171.0ms (1.7%)

Memory: 23.8MiB live, 315.8MiB allocated
Compiler: Compiled 35 641 to 3 751 computations (89.5% saved)

prune171.0ms (1.7%)

Memory

8.4MiB live, 367.2MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 344	13	1 357
Fresh	2	12	14
Picked	3	2	5
Done	0	3	3
Total	1 349	30	1 379

Accuracy

93.1%

Counts

1 379 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
	17.1%	(/.f64 (fma.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (neg.f64 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 c (-.f64 #s(literal 0 binary64) a) (.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))))
▶	34.0%	(/.f64 (/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
	27.5%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	26.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 c a)))) b_2))) a)
▶	36.2%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))
	30.5%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))
	34.9%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a)
▶	15.3%	(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
	33.5%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) a)
✓	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	25.2%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) a)
	33.9%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))))
	10.8%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	36.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	34.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	35.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))
	36.0%	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
	33.9%	(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))))
	29.4%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 #s(literal 1 binary64))) (.f64 b_2 (.f64 a #s(literal 1/2 binary64))))))
▶	10.8%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))
	1.4%	(.f64 (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64)) (/.f64 (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64))))
	34.8%	(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2))
✓	36.2%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	34.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	27.5%	(.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a)) (/.f64 #s(literal 1/2 binary64) b_2)))
	17.1%	(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 #s(literal -1/2 binary64) c))) #s(literal -1 binary64)))
✓	11.1%	#s(literal 0 binary64)

Compiler

Compiled 914 to 550 computations (39.8% saved)

simplify469.0ms (4.8%)

Memory

-45.5MiB live, 494.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2)))
✓	cost-diff	192	(-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	192	(-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2))
✓	cost-diff	320	(/.f64 (/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	cost-diff	0	(sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)))
✓	cost-diff	-64	(.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)))
✓	cost-diff	0	(/.f64 c (*.f64 b_2 b_2))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))
✓	cost-diff	704	(.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) b_2)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) c)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b_2)
✓	cost-diff	1024	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))

Rules

16 280×	`accelerator-lowering-fma.f32`
16 280×	`accelerator-lowering-fma.f64`
2 770×	`-lowering-.f32`
2 770×	`-lowering-.f64`
2 252×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	177
1	77	174
2	194	167
3	673	163
4	2762	161
5	4997	161
6	6615	161
7	7207	161
8	7366	161
9	7476	161
10	7516	161
0	8509	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (1%)

Memory

23.6MiB live, 140.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	accuracy	98.6%	(-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2))
✓	accuracy	85.4%	(sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))
✓	accuracy	79.2%	(/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2)))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)
✓	accuracy	99.9%	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)))
✓	accuracy	85.4%	(sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)))
✓	accuracy	95.0%	(/.f64 c (*.f64 b_2 b_2))
✓	accuracy	84.3%	(.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) c)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))

Samples

31.0ms	162×	0	valid
19.0ms	94×	0	invalid

Compiler

Compiled 216 to 30 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 14.0ms (46.1% of total)

ival-sub: 6.0ms (19.8% of total)

ival-mult: 6.0ms (19.8% of total)

ival-sqrt: 2.0ms (6.6% of total)

ival-add: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

series38.0ms (0.4%)

Memory

0.6MiB live, 38.6MiB allocated

Counts

18 → 468

Calls

Call 1

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

Outputs
#<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 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (/ -2 c)>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 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 (/ 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 (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
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#<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 (+ 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 (* (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 (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ b_2 (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2))))) (sqrt -1)))))) (* -1 (/ b_2 (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (/ (* (pow b_2 2) (- (* -1 (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2)))))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2))))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c))))))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (- (/ (* (pow b_2 2) (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c)))) a) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c))))))) c))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ b_2 (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))))) (* -1 (/ b_2 (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (/ (* (pow b_2 2) (- (* -1 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (* (pow a 2) (* c (pow (sqrt -1) 2)))))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))))))) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (- (/ (* (pow b_2 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2)))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))))))) a))) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* -1 (/ (* a c) (pow b_2 2))) (+ 1 (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))))>
#<alt (* b_2 (- (+ (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* -1 (* a c)) (* a (* c (pow (sqrt -1) 2))))) (pow b_2 3)))) (* -1 (/ (* a c) (pow b_2 2)))) (+ 1 (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (/ (- (* -1 (/ (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2)))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2)))))) b_2))) (* a c)) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_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 (pow b_2 2)>

Calls

117 calls:

Time	Variable		Point	Expression
4.0ms	b_2	@	-inf	(/ (- (+ (* c (- 0 a)) 0) (* b_2 b_2)) (- (sqrt (+ (* c (- 0 a)) 0)) (- 0 b_2)))
3.0ms	c	@	-inf	(* -1/2 (/ c (* b_2 b_2)))
1.0ms	c	@	inf	(/ (/ (- (+ (* c (- 0 a)) 0) (* b_2 b_2)) (- (sqrt (+ (* c (- 0 a)) 0)) (- 0 b_2))) a)
1.0ms	a	@	inf	(/ (/ (- (+ (* c (- 0 a)) 0) (* b_2 b_2)) (- (sqrt (+ (* c (- 0 a)) 0)) (- 0 b_2))) a)
1.0ms	c	@	inf	(/ (- (+ (* c (- 0 a)) 0) (* b_2 b_2)) (- (sqrt (+ (* c (- 0 a)) 0)) (- 0 b_2)))

rewrite467.0ms (4.7%)

Memory

-19.5MiB live, 663.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 574×	`/-lowering-/.f32`
3 574×	`/-lowering-/.f64`
3 226×	`-lowering-.f32`
3 226×	`-lowering-.f64`
2 544×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	117
1	212	111
2	1942	109
0	9207	108

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 572

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) c))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) c)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) c)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(neg.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))))
(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 2 binary64) c))
(/.f64 #s(literal -1 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)) #s(literal 1 binary64))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2)) (/.f64 #s(literal 1 binary64) c))
(/.f64 (neg.f64 (*.f64 c #s(literal -1/2 binary64))) b_2)
(/.f64 (.f64 #s(literal -1 binary64) (.f64 c #s(literal -1/2 binary64))) b_2)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) c) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) c)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 (/.f64 #s(literal 1 binary64) c)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 c #s(literal -1/2 binary64)))) b_2)
(pow.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) c)))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) b_2)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) c)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) b_2)) #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) c) b_2) #s(literal -1 binary64)))
(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) b_2)) c)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) b_2)) (-.f64 #s(literal 0 binary64) c))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64)) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 b_2)) (.f64 (log.f64 b_2) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b_2))
(neg.f64 (/.f64 #s(literal 1 binary64) b_2))
(/.f64 #s(literal 1 binary64) b_2)
(/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) b_2)
(pow.f64 b_2 #s(literal -1 binary64))
(pow.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 b_2 #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2)
(*.f64 (pow.f64 b_2 #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) c))
(/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal -2 binary64) c)
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) c))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c))))
(pow.f64 (/.f64 #s(literal -2 binary64) c) #s(literal 1 binary64))
(pow.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) c)))
(*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (*.f64 a b_2) (fma.f64 a a #s(literal 0 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) b_2) a) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) b_2) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a b_2)) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (.f64 #s(literal 0 binary64) (/.f64 b_2 a))))) (/.f64 (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (.f64 #s(literal 0 binary64) (/.f64 b_2 a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (/.f64 b_2 a)))
(neg.f64 (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a b_2))
(/.f64 b_2 a)
(/.f64 b_2 (-.f64 #s(literal 0 binary64) a))
(/.f64 b_2 (neg.f64 (-.f64 #s(literal 0 binary64) a)))
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(/.f64 (neg.f64 (-.f64 (.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 b_2 #s(literal 2 binary64))
(pow.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(*.f64 b_2 b_2)
(*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)))

simplify444.0ms (4.5%)

Memory

12.7MiB live, 843.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 864×	`accelerator-lowering-fma.f32`
8 864×	`accelerator-lowering-fma.f64`
5 372×	`-lowering-.f32`
5 372×	`-lowering-.f64`
2 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	574	6286
1	1957	5682
2	7138	5680
0	8016	5474

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
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(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 a)) a))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))))))) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 a)) (*.f64 b_2 a))) a))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (- (/ (* (pow b_2 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2)))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))))))) a))) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 b_2 a (neg.f64 (fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 a)) (/.f64 (.f64 b_2 b_2) c)) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 a)))) a)))) a))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2)))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))))
(fma.f64 b_2 (fma.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* b_2 (- (* -1 (/ (* a c) (pow b_2 2))) (+ 1 (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))))
(.f64 b_2 (neg.f64 (fma.f64 c (/.f64 a (.f64 b_2 b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64))))))
(* b_2 (- (+ (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* -1 (* a c)) (* a (* c (pow (sqrt -1) 2))))) (pow b_2 3)))) (* -1 (/ (* a c) (pow b_2 2)))) (+ 1 (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))))
(.f64 b_2 (-.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (.f64 c a) #s(literal 0 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (fma.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))))
(* -1 (* b_2 (+ 1 (* -1 (/ (- (* -1 (/ (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2)))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (.f64 c a) #s(literal 0 binary64)) b_2)) b_2))))
(* -1 (* b_2 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2)))))) b_2))) (* a c)) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2)))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 c (-.f64 #s(literal 0 binary64) a) (.f64 c a))) (-.f64 #s(literal 0 binary64) b_2)) (.f64 (.f64 c a) #s(literal 0 binary64))) 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)
(pow b_2 2)
(*.f64 b_2 b_2)

eval347.0ms (3.5%)

Memory: 40.8MiB live, 618.1MiB allocated
Compiler: Compiled 79 497 to 5 684 computations (92.9% saved)

prune355.0ms (3.6%)

Memory

-36.8MiB live, 605.0MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	2 201	15	2 216
Fresh	8	12	20
Picked	3	2	5
Done	0	5	5
Total	2 212	34	2 246

Accuracy

95.2%

Counts

2 246 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
	15.1%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) b_2) a)
	33.6%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
	27.5%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
✓	36.2%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))
	17.3%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (exp.f64 (.f64 (log.f64 (.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))))
	27.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))
	24.8%	(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) a) (.f64 a b_2)) (fma.f64 a a #s(literal 0 binary64)))
	34.9%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a)
	33.5%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) a)
✓	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	24.3%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
	10.8%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	36.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	34.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	15.3%	(/.f64 (neg.f64 b_2) a)
	32.3%	(/.f64 (exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 b_2)) (.f64 (log.f64 b_2) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) c))
	2.4%	(/.f64 b_2 a)
	15.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) b_2)))
✓	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	27.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))) a))
	35.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))
	36.0%	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
	10.8%	(/.f64 #s(literal -1 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))
	29.4%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 #s(literal 1 binary64))) (.f64 b_2 (.f64 a #s(literal 1/2 binary64))))))
	26.9%	(.f64 (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 b_2 #s(literal -1/2 binary64)))
	10.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) b_2)) (-.f64 #s(literal 0 binary64) c))
	34.8%	(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2))
✓	36.2%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	34.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	24.3%	(.f64 (.f64 (*.f64 b_2 #s(literal -1/2 binary64)) c) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
	17.1%	(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 #s(literal -1/2 binary64) c))) #s(literal -1 binary64)))
✓	11.1%	#s(literal 0 binary64)

Compiler

Compiled 1 330 to 545 computations (59% saved)

regimes74.0ms (0.8%)

Memory

-8.9MiB live, 144.9MiB allocated

Counts

58 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) b_2)) (-.f64 #s(literal 0 binary64) c))
(.f64 (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 b_2 #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(.f64 (.f64 (*.f64 b_2 #s(literal -1/2 binary64)) c) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a)
(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a)) (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) b_2) a)
(-.f64 #s(literal 0 binary64) (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2)))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))) a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) a) (.f64 a b_2)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 c a)))) b_2))) a)
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 #s(literal 1 binary64))) (.f64 b_2 (.f64 a #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (-.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
(/.f64 (fma.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (neg.f64 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 c (-.f64 #s(literal 0 binary64) a) (.f64 b_2 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))))))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c))))))) a)
(.f64 (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64)) (/.f64 (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))))))) a)
(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 #s(literal -1/2 binary64) c))) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) a)
(/.f64 (/.f64 #s(literal 1 binary64) b_2) (exp.f64 (.f64 (log.f64 (.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))) (.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))) (.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c))))))) (.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))))) a)
(/.f64 (exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 b_2)) (.f64 (log.f64 b_2) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) c))

Outputs

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

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

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

Calls

4 calls:

19.0ms	b_2
18.0ms	c
17.0ms	a
16.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
54.1%	2	`a`
88.3%	3	`b_2`
52.0%	1	`c`
78.2%	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)

regimes12.0ms (0.1%)

Memory

-11.5MiB live, 25.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
85.5%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
85.4%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-19.7MiB live, 17.4MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
68.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
67.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
67.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-14.8MiB live, 27.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	c
2.0ms	a
2.0ms	b_2

Results

Accuracy	Segments	Branch
34.1%	1	`c`
34.1%	1	`a`
42.5%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)

Outputs
(/.f64 (neg.f64 b_2) a)
#s(literal 0 binary64)

Calls

3 calls:

2.0ms	c
2.0ms	b_2
2.0ms	a

Results

Accuracy	Segments	Branch
15.3%	1	`c`
15.3%	1	`a`
23.7%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Memory

-27.9MiB live, 11.3MiB allocated

Accuracy

Total -5.8b remaining (-10.2%)

Threshold costs -5.8b (-10.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

18.0ms	c
2.0ms	b_2
2.0ms	a

Results

Accuracy	Segments	Branch
11.1%	1	`c`
11.1%	1	`a`
11.1%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9729045211632108e-127	2.0500955493374368e-126
5.0ms	-1.1021023013869267e+123	-8.69462413879055e+122

Samples

7.0ms	108×	0	valid
3.0ms	25×	1	valid
2.0ms	34×	0	invalid
2.0ms	11×	2	valid

Compiler

Compiled 268 to 187 computations (30.2% saved)

Precisions

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

ival-mult: 3.0ms (31.2% of total)

ival-div: 2.0ms (20.8% of total)

ival-sqrt: 2.0ms (20.8% of total)

adjust: 1.0ms (10.4% of total)

ival-sub: 1.0ms (10.4% of total)

ival-neg: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

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

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

bsearch56.0ms (0.6%)

Memory

-22.1MiB live, 54.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.9729045211632108e-127	2.0500955493374368e-126
37.0ms	-5.0088397668152215e-98	-4.013923515835059e-101

Samples

35.0ms	199×	0	valid
4.0ms	64×	0	invalid
3.0ms	20×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 395 to 278 computations (29.6% saved)

Precisions

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

ival-mult: 4.0ms (29% of total)

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

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch37.0ms (0.4%)

Memory

16.4MiB live, 57.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.9729045211632108e-127	2.0500955493374368e-126
17.0ms	-5.0088397668152215e-98	-4.013923515835059e-101

Samples

15.0ms	194×	0	valid
5.0ms	72×	0	invalid
3.0ms	22×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 355 to 254 computations (28.5% saved)

Precisions

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

ival-mult: 4.0ms (28.2% of total)

ival-div: 2.0ms (14.1% of total)

ival-sub: 2.0ms (14.1% of total)

ival-neg: 2.0ms (14.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

ival-add: 2.0ms (14.1% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.3%)

Memory

17.7MiB live, 55.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-3.681900417661075e-300	9.812807469087938e-304

Samples

13.0ms	160×	0	valid
8.0ms	110×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-mult: 3.0ms (27% of total)

ival-div: 2.0ms (18% of total)

ival-sqrt: 2.0ms (18% of total)

ival-sub: 1.0ms (9% of total)

ival-add: 1.0ms (9% of total)

ival-neg: 1.0ms (9% of total)

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

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

bsearch31.0ms (0.3%)

Memory

-15.2MiB live, 57.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-3.681900417661075e-300	9.812807469087938e-304

Samples

16.0ms	160×	0	valid
6.0ms	83×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-sub: 4.0ms (30.6% of total)

ival-mult: 3.0ms (23% of total)

ival-div: 2.0ms (15.3% of total)

ival-sqrt: 2.0ms (15.3% of total)

ival-add: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

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

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

bsearch33.0ms (0.3%)

Memory

-24.8MiB live, 72.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-3.681900417661075e-300	9.812807469087938e-304

Samples

12.0ms	160×	0	valid
7.0ms	95×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

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

ival-sub: 2.0ms (16.9% of total)

ival-div: 2.0ms (16.9% of total)

ival-sqrt: 2.0ms (16.9% of total)

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

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

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

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

bsearch42.0ms (0.4%)

Memory

0.6MiB live, 39.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-2.1462266833614482e-283	-2.4068429187882973e-290

Samples

23.0ms	71×	0	invalid
10.0ms	144×	0	valid

Compiler

Compiled 145 to 124 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 19.0ms (69.2% of total)

ival-mult: 3.0ms (10.9% of total)

ival-sub: 1.0ms (3.6% of total)

ival-div: 1.0ms (3.6% of total)

ival-sqrt: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

bsearch26.0ms (0.3%)

Memory

29.9MiB live, 29.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-2.1462266833614482e-283	-2.4068429187882973e-290

Samples

9.0ms	144×	0	valid
7.0ms	100×	0	invalid

Compiler

Compiled 136 to 115 computations (15.4% saved)

Precisions

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

ival-mult: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.3% of total)

ival-sqrt: 2.0ms (20.3% of total)

ival-sub: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

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

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

simplify32.0ms (0.3%)

Memory

-24.3MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-mul-1_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	159
1	76	158
2	93	158
3	101	158
4	105	158
5	106	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 6706881651069515/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1192834171961161/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 3048582568667961/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -8003532508642629/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 7621456421669903/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 6706881651069515/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 6706881651069515/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1192834171961161/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 3048582568667961/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -8003532508642629/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 7621456421669903/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness959.0ms (9.7%)

Memory

45.3MiB live, 779.5MiB allocated

Rules

11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
10 878×	`accelerator-lowering-fma.f32`
10 878×	`accelerator-lowering-fma.f64`
8 972×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	6534
1	2349	6348
0	8467	6048
0	508	3176
1	1606	3136
2	5520	3120
0	8782	2984
0	28	118
1	158	105
0	1256	100
0	650	5748
1	2065	5647
2	6946	5603
0	8124	5416
0	28	117
1	212	111
2	1942	109
0	9207	108

Stop Event

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

Compiler

Compiled 477 to 284 computations (40.5% saved)

preprocess101.0ms (1%)

Memory: 6.1MiB live, 231.5MiB allocated
Compiler: Compiled 544 to 186 computations (65.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

analyze128.0ms (1.3%)

sample1.5s (15.1%)

preprocess121.0ms (1.2%)

explain233.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.4%)

localize70.0ms (0.7%)

series18.0ms (0.2%)

rewrite364.0ms (3.7%)

simplify754.0ms (7.7%)

eval72.0ms (0.7%)

prune83.0ms (0.8%)

simplify131.0ms (1.3%)

localize101.0ms (1%)

series38.0ms (0.4%)

rewrite86.0ms (0.9%)

simplify583.0ms (5.9%)

eval208.0ms (2.1%)

prune89.0ms (0.9%)

simplify166.0ms (1.7%)

localize86.0ms (0.9%)

series43.0ms (0.4%)

rewrite392.0ms (4%)

simplify470.0ms (4.8%)

eval171.0ms (1.7%)

prune171.0ms (1.7%)

simplify469.0ms (4.8%)

localize101.0ms (1%)

series38.0ms (0.4%)

rewrite467.0ms (4.7%)

simplify444.0ms (4.5%)

eval347.0ms (3.5%)

prune355.0ms (3.6%)

regimes74.0ms (0.8%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes21.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch56.0ms (0.6%)

bsearch37.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch26.0ms (0.3%)

simplify32.0ms (0.3%)

soundness959.0ms (9.7%)

preprocess101.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48