Metrics for quad2p (problem 3.2.1, positive)

analyze109.0ms (1%)

Memory

27.9MiB live, 263.3MiB 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)

sample1.3s (12.8%)

Memory

40.2MiB live, 2 161.7MiB allocated

Samples

398.0ms	5 576×	0	valid
240.0ms	1 367×	1	valid
233.0ms	1 093×	2	valid
75.0ms	1 094×	0	invalid
51.0ms	212×	3	valid
2.0ms	8×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 727.0ms

ival-mult: 179.0ms (24.6% of total)

ival-sqrt: 145.0ms (19.9% of total)

ival-div: 100.0ms (13.8% of total)

ival-add: 92.0ms (12.7% of total)

ival-neg: 73.0ms (10% of total)

ival-sub: 63.0ms (8.7% of total)

adjust: 63.0ms (8.7% of total)

ival-true: 8.0ms (1.1% of total)

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

Bogosity

preprocess124.0ms (1.2%)

Memory

-36.1MiB live, 95.6MiB 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)

explain145.0ms (1.4%)

Memory

23.0MiB live, 257.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
100	-	1	(4.9210696404916e-230 -1.4289082865929232e-297 -3.382675174237945e-92)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
53	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	1	(4.134548721536282e-298 2.9606790031489898e-30 -1.036980866754413e-47)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.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	94	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	94
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	53	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	42
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	25
↳	`(*.f64 a c)`	underflow	39
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	5	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(*.f64 a c)`	underflow	39
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17

Confusion

	Predicted +	Predicted -
+	113	1
-	28	114

Precision

0.8014184397163121

Recall

0.9912280701754386

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	1
-	28	0	114

Precision?

0.8014184397163121

Recall?

0.9912280701754386

Freqs

test

number	freq
0	115
1	117
2	22
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	362×	0	valid
12.0ms	80×	1	valid
10.0ms	48×	2	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: 41.0ms

ival-mult: 9.0ms (21.8% of total)

ival-sqrt: 9.0ms (21.8% of total)

ival-div: 7.0ms (16.9% of total)

ival-add: 6.0ms (14.5% of total)

ival-sub: 4.0ms (9.7% of total)

adjust: 3.0ms (7.3% of total)

ival-neg: 3.0ms (7.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(/.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)

simplify34.0ms (0.3%)

Memory

-13.3MiB live, 25.3MiB 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

localize41.0ms (0.4%)

Memory

-1.5MiB live, 37.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	81.4%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

13.0ms	181×	0	valid
6.0ms	24×	2	valid
6.0ms	40×	1	valid
3.0ms	11×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 4.0ms (22.2% of total)

ival-sub: 3.0ms (16.7% of total)

ival-div: 3.0ms (16.7% of total)

ival-sqrt: 3.0ms (16.7% of total)

adjust: 2.0ms (11.1% of total)

ival-neg: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

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

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

series18.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB 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)

rewrite291.0ms (2.8%)

Memory

10.2MiB live, 401.0MiB 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)))))

simplify473.0ms (4.5%)

Memory

18.5MiB live, 677.7MiB 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)))

eval95.0ms (0.9%)

Memory: -7.0MiB live, 139.5MiB allocated
Compiler: Compiled 18 346 to 2 005 computations (89.1% saved)

prune322.0ms (3.1%)

Memory

-135.6MiB live, 213.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	548	12	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	548	13	561

Accuracy

94.3%

Counts

561 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	11.8%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
	35.4%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
	26.9%	(/.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)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	38.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	7.3%	(/.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)
	14.5%	(/.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)
▶	41.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.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))))) a)
▶	11.3%	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	31.4%	(.f64 c (fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 488 to 280 computations (42.6% saved)

simplify189.0ms (1.8%)

Memory

-12.4MiB live, 274.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
✓	cost-diff	0	(*.f64 a #s(literal -1/8 binary64))
✓	cost-diff	0	(/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))
✓	cost-diff	384	(.f64 c (fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	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	384	(+.f64 (neg.f64 b_2) b_2)
✓	cost-diff	704	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
✓	cost-diff	-64	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	0	(sqrt.f64 (.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))))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.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))))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (sqrt.f64 (.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)))))
✓	cost-diff	1408	(.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)))

Rules

3 464×	`accelerator-lowering-fma.f32`
3 464×	`accelerator-lowering-fma.f64`
3 018×	`-lowering-.f32`
3 018×	`-lowering-.f64`
1 568×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	202
1	90	198
2	220	193
3	740	169
4	2608	169
5	4476	169
6	6962	169
0	8062	167

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1)))) a)
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))))
(neg b_2)
b_2
(sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1)))
(* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))
(* b_2 b_2)
(+ (* a (/ c (- 0 (* b_2 b_2)))) 1)
a
(/ c (- 0 (* b_2 b_2)))
c
(- 0 (* b_2 b_2))
0
1
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(/ (+ (neg b_2) b_2) a)
(+ (neg b_2) b_2)
(neg 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
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
c
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(* a -1/8)
a
-1/8
(* b_2 (* b_2 b_2))
b_2
(* b_2 b_2)
(/ -1/2 b_2)
-1/2

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

localize138.0ms (1.3%)

Memory

19.4MiB live, 172.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b_2 (.f64 b_2 b_2))
✓	accuracy	97.4%	(fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2))
✓	accuracy	96.9%	(.f64 c (fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	accuracy	95.8%	(/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))
✓	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	84.9%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
✓	accuracy	100.0%	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) b_2)
✓	accuracy	100.0%	(neg.f64 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	90.5%	(+.f64 (neg.f64 b_2) (sqrt.f64 (.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)))))
✓	accuracy	89.9%	(/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))
✓	accuracy	84.1%	(.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)))
✓	accuracy	78.5%	(sqrt.f64 (.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))))

Samples

33.0ms	82×	0	invalid
29.0ms	133×	0	valid
9.0ms	14×	2	valid
8.0ms	19×	1	valid
6.0ms	7×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 224 to 36 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 21.0ms (33.3% of total)

ival-mult: 15.0ms (23.8% of total)

ival-div: 14.0ms (22.2% of total)

ival-sqrt: 4.0ms (6.3% of total)

adjust: 3.0ms (4.8% of total)

ival-sub: 3.0ms (4.8% of total)

ival-neg: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series58.0ms (0.6%)

Memory

-6.3MiB live, 112.3MiB allocated

Counts

20 → 504

Calls

Call 1

Inputs
#<alt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))>
#<alt (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))))>
#<alt (/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1)))) a)>
#<alt (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1)))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (/ (+ (neg b_2) b_2) a)>
#<alt (+ (neg b_2) b_2)>
#<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 (* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))>
#<alt (/ (* a -1/8) (* b_2 (* b_2 b_2)))>
#<alt (* a -1/8)>
#<alt (/ -1/2 b_2)>
#<alt (/ c (- 0 (* b_2 b_2)))>
#<alt (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))>
#<alt (* b_2 (* b_2 b_2))>

Outputs
#<alt (* -1 (* a c))>
#<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 (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 (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<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 (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -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 (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8))))))) (* -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 (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -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 (/ (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8)))))) a)) (* -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))>
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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) (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>
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#<alt b_2>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (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)))>
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#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
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#<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)))>
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#<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 (* -2 (/ b_2 a))>
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#<alt (* -2 b_2)>
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#<alt 0>
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#<alt (* -1 b_2)>
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#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
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#<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)>
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#<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)))>
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#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
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#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<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)))>
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#<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)>
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#<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))>
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#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
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#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
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#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<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)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))>
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#<alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
#<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)))) b_2)>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<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 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (/ -1/2 b_2)>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))>
#<alt (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))>
#<alt (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))>
#<alt (/ -1/2 b_2)>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))>
#<alt (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))>
#<alt (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))>
#<alt (/ -1/2 b_2)>
#<alt (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)>
#<alt (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)>
#<alt (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)>
#<alt (/ -1/2 b_2)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>

Calls

126 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))))
5.0ms	a	@	-inf	(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
5.0ms	a	@	0	(* a -1/8)
3.0ms	c	@	-inf	(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
1.0ms	c	@	0	(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))

rewrite349.0ms (3.4%)

Memory

-0.6MiB live, 595.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 098×	`-lowering-.f32`
4 098×	`-lowering-.f64`
3 818×	`accelerator-lowering-fma.f32`
3 818×	`accelerator-lowering-fma.f64`
3 514×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	164
1	214	155
2	1865	147
0	9387	141

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 734

Calls

Call 1

Inputs
(* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1))))
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1)))) a)
(sqrt (* (* b_2 b_2) (+ (* a (/ c (- 0 (* b_2 b_2)))) 1)))
(/ (* b_2 -2) a)
(* b_2 -2)
(/ (+ (neg b_2) b_2) a)
(+ (neg b_2) b_2)
(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))
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(* a -1/8)
(/ -1/2 b_2)
(/ c (- 0 (* b_2 b_2)))
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(* b_2 (* b_2 b_2))

Outputs
(+.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))))
(fma.f64 b_2 b_2 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 b_2 (-.f64 #s(literal 0 binary64) b_2) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 b_2 (.f64 b_2 (.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 a (*.f64 (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (*.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) b_2 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) b_2) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (.f64 (.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2) b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal -1 binary64)) b_2 (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(fma.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (/.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
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(/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 (/.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))) (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))))))
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(.f64 (-.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))) b_2) (/.f64 #s(literal 1 binary64) a))
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(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)))) b_2))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 a #s(literal 1/8 binary64)) c))) (.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) b_2) c))) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) b_2))) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) b_2 (.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 (.f64 c (*.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 a #s(literal -1/8 binary64))) (.f64 (.f64 b_2 #s(literal 2 binary64)) c)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 c (.f64 a #s(literal -1/8 binary64)))) (.f64 (.f64 b_2 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 c (.f64 a #s(literal -1/8 binary64))))))
(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -1/8 binary64))))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (neg.f64 (.f64 c (.f64 a #s(literal -1/8 binary64)))))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 a #s(literal -1/8 binary64))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c #s(literal 1 binary64)))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal 1/8 binary64))))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 b_2 b_2 (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) b_2)))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 a #s(literal -1/8 binary64))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) c))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 (.f64 a #s(literal 1/8 binary64)) c))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 b_2 b_2 (.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) b_2) c))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (fma.f64 b_2 b_2 (.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) b_2))) (.f64 (.f64 b_2 #s(literal 2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (.f64 (.f64 b_2 #s(literal 2 binary64)) b_2))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (-.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1/2 binary64)) b_2)) (.f64 (/.f64 (-.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1/2 binary64)) b_2) (/.f64 #s(literal 1/4 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1/2 binary64)) b_2) (/.f64 (-.f64 (/.f64 (.f64 c (*.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1/2 binary64)) b_2)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2) (.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))))) (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1/2 binary64)) b_2) (-.f64 (.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2) (.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))))))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 c (*.f64 a #s(literal -1/8 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1/2 binary64)) b_2)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) b_2)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 3 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b_2) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(neg.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) b_2) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (-.f64 b_2 b_2))) #s(literal 3 binary64)))
(pow.f64 b_2 #s(literal 3 binary64))
(pow.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) b_2))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 3 binary64))
(*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) b_2)
(*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64))
(.f64 (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 b_2) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3/2 binary64)))

simplify597.0ms (5.7%)

Memory

13.3MiB live, 802.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 174×	`accelerator-lowering-fma.f32`
12 174×	`accelerator-lowering-fma.f64`
7 888×	`-lowering-.f32`
7 888×	`-lowering-.f64`
2 306×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	580	5922
1	1825	5844
2	6346	5817
0	8147	5603

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -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)
(* (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 (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* a c))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (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) (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 (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -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 (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8))))))) (* -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 (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -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 (/ (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8)))))) a)) (* -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)))))))
(* -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)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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)))
(* -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 (/ 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))))
(/ (- (* (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 (* 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 (* 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))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(* -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)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(/ -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 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ -1/2 b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ -1/2 b_2)
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)

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

eval160.0ms (1.5%)

Memory: 37.5MiB live, 341.0MiB allocated
Compiler: Compiled 28 274 to 3 228 computations (88.6% saved)

prune150.0ms (1.4%)

Memory

-49.1MiB live, 378.8MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 259	17	1 276
Fresh	5	2	7
Picked	4	1	5
Done	0	1	1
Total	1 268	21	1 289

Accuracy

99.5%

Counts

1 289 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a) (-.f64 #s(literal 0 binary64) b_2)) a)
	18.8%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) (-.f64 #s(literal 0 binary64) b_2)) a)
	16.3%	(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))) (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))))))
	42.8%	(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))))) a)
	36.5%	(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))))))
▶	44.4%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2) a)
	19.0%	(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
	2.4%	(/.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) b_2)) b_2) a)
▶	11.8%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
▶	22.2%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	17.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) c)) (sqrt.f64 a)))) a)
	42.5%	(/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))))
▶	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2)))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	44.3%	(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2))
	38.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	31.8%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
▶	11.3%	#s(literal 0 binary64)

Compiler

Compiled 632 to 390 computations (38.3% saved)

simplify469.0ms (4.5%)

Memory

48.0MiB live, 820.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) c)
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) c))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
✓	cost-diff	192	(+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	cost-diff	384	(+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))
✓	cost-diff	1088	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	cost-diff	-64	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(fabs.f64 (fma.f64 a c #s(literal 0 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2) a)

Rules

14 738×	`accelerator-lowering-fma.f32`
14 738×	`accelerator-lowering-fma.f64`
2 526×	`--lowering--.f32`
2 526×	`--lowering--.f64`
2 490×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	123
1	49	120
2	93	120
3	195	116
4	419	116
5	1040	116
6	2946	116
7	5072	116
8	5912	116
9	6286	116
10	6361	116
11	6415	116
0	8325	115

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize291.0ms (2.8%)

Memory

-4.8MiB live, 191.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)))
✓	accuracy	100.0%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	98.5%	(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	accuracy	94.6%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	accuracy	91.7%	(+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 a c #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2)
✓	accuracy	100.0%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2) a)
✓	accuracy	93.1%	(sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))

Samples

29.0ms	171×	0	invalid
8.0ms	48×	0	valid
6.0ms	16×	2	valid
4.0ms	16×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 8.0ms (25.7% of total)

ival-mult: 6.0ms (19.3% of total)

ival-add: 5.0ms (16.1% of total)

ival-sqrt: 5.0ms (16.1% of total)

adjust: 2.0ms (6.4% of total)

ival-sub: 2.0ms (6.4% of total)

ival-neg: 1.0ms (3.2% of total)

ival-fabs: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-7.3MiB live, 72.0MiB allocated

Counts

15 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite441.0ms (4.2%)

Memory

-13.1MiB live, 869.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 346×	`accelerator-lowering-fma.f32`
8 346×	`accelerator-lowering-fma.f64`
3 862×	`/-lowering-/.f32`
3 862×	`/-lowering-/.f64`
3 282×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	96
1	149	94
2	1356	85
0	9108	82

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 175

Calls

Call 1

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

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

simplify329.0ms (3.2%)

Memory

27.0MiB live, 418.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 898×	`accelerator-lowering-fma.f32`
5 898×	`accelerator-lowering-fma.f64`
3 240×	`-lowering-.f32`
3 240×	`-lowering-.f64`
1 562×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2753
1	390	2730
2	1210	2730
3	3264	2694
4	5677	2694
5	7832	2694
0	8169	2649

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(* (/ 1 a) (sqrt (fabs (* a c))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(* -1 (/ b_2 a))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(sqrt (fabs (* a c)))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(* -1 b_2)
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 c)
(* -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 b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(* -1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))
(* -1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
b_2
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
(* (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))
(* 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)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ 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 (/ 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))))
(/ (- (* (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 (* 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)) (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 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -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))
(* (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)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))

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

eval249.0ms (2.4%)

Memory: -31.3MiB live, 342.6MiB allocated
Compiler: Compiled 36 624 to 3 802 computations (89.6% saved)

prune279.0ms (2.7%)

Memory

6.9MiB live, 282.0MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 667	13	1 680
Fresh	5	9	14
Picked	3	2	5
Done	0	2	2
Total	1 675	26	1 701

Accuracy

99.5%

Counts

1 701 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f64 (fma.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 c) (-.f64 #s(literal 0 binary64) b_2)) a)
	26.4%	(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (-.f64 b_2 b_2)) a)
	16.3%	(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))) (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))))))
	31.9%	(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
	11.7%	(/.f64 (-.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b_2) b_2) b_2) a)
	36.5%	(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))))))
	22.8%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 c)) b_2) a)
	26.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 c c #s(literal 0 binary64)) a)) c)) b_2) a)
	17.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 a c #s(literal 0 binary64)) c)) (sqrt.f64 a))) b_2) a)
▶	44.4%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) b_2) a)
▶	19.0%	(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
	2.4%	(/.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) b_2)) b_2) a)
▶	22.2%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	42.5%	(/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))))
	11.2%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	32.4%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) a)
▶	31.6%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2)))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
▶	44.3%	(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2))
	31.8%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	38.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	11.3%	#s(literal 0 binary64)

Compiler

Compiled 696 to 444 computations (36.2% saved)

simplify132.0ms (1.3%)

Memory

8.1MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1 056×	`accelerator-lowering-fma.f32`
1 056×	`accelerator-lowering-fma.f64`
836×	`-lowering-.f32`
836×	`-lowering-.f64`
592×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	133
1	59	131
2	108	129
3	230	129
4	354	129
5	546	129
6	837	129
7	1329	129
8	1944	129
9	2284	129
10	2693	129
11	2851	129
12	2868	129
13	2870	129
14	2870	129
0	2870	129

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize155.0ms (1.5%)

Memory

0.8MiB live, 141.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
✓	accuracy	100.0%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 a c #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2))
✓	accuracy	93.1%	(sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))
✓	accuracy	100.0%	(/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
✓	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%	(fabs.f64 (*.f64 a c))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) b_2)
✓	accuracy	100.0%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) b_2) a)
✓	accuracy	93.1%	(sqrt.f64 (fabs.f64 (*.f64 a c)))

Samples

46.0ms	85×	0	valid
37.0ms	171×	0	invalid

Compiler

Compiled 144 to 31 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sqrt: 36.0ms (58.6% of total)

ival-div: 10.0ms (16.3% of total)

ival-mult: 6.0ms (9.8% of total)

ival-sub: 3.0ms (4.9% of total)

ival-add: 2.0ms (3.3% of total)

ival-fabs: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

-18.8MiB live, 20.2MiB allocated

Counts

20 → 480

Calls

Call 1

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

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

Calls

120 calls:

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

rewrite613.0ms (5.9%)

Memory

2.8MiB live, 718.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 884×	`accelerator-lowering-fma.f32`
5 884×	`accelerator-lowering-fma.f64`
2 974×	`-lowering-.f32`
2 974×	`-lowering-.f64`
2 584×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	102
1	166	100
2	1264	86
0	9499	86

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2 183

Calls

Call 1

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

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

simplify270.0ms (2.6%)

Memory

9.9MiB live, 561.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 792×	`accelerator-lowering-fma.f32`
4 792×	`accelerator-lowering-fma.f64`
3 626×	`-lowering-.f32`
3 626×	`-lowering-.f64`
1 262×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	3037
1	307	3006
2	949	3006
3	2390	2970
4	4913	2970
5	6458	2970
6	7474	2970
0	8023	2964

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(* (/ 1 a) (sqrt (fabs (* a c))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(* -1 (/ b_2 a))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(sqrt (fabs (* a c)))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(* -1 b_2)
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a 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))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(/ (- (sqrt (fabs (* a c))) b_2) a)
(* (/ 1 a) (sqrt (fabs (* a c))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(+ (* -1 (/ b_2 a)) (* (/ 1 a) (sqrt (fabs (* a c)))))
(* -1 (/ b_2 a))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* b_2 (- (* (/ 1 (* a b_2)) (sqrt (fabs (* a c)))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (/ 1 (* a b_2)) (sqrt (fabs (* a c))))) (/ 1 a))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(- (sqrt (fabs (* a c))) b_2)
(sqrt (fabs (* a c)))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(+ (sqrt (fabs (* a c))) (* -1 b_2))
(* -1 b_2)
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* b_2 (- (* (/ 1 b_2) (sqrt (fabs (* a c)))) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(* -1 (* b_2 (+ 1 (* -1 (* (/ 1 b_2) (sqrt (fabs (* a c))))))))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(sqrt (fabs (* a c)))
(* (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))
(* 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)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ 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 (/ 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))))
(/ (- (* (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 (* 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)) (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 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* a c))
(fabs (* 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))
(* (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)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -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)

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

eval332.0ms (3.2%)

Memory: 42.9MiB live, 679.8MiB allocated
Compiler: Compiled 52 575 to 4 290 computations (91.8% saved)

prune363.0ms (3.5%)

Memory

-2.4MiB live, 849.2MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	2 648	15	2 663
Fresh	3	14	17
Picked	4	1	5
Done	0	4	4
Total	2 655	34	2 689

Accuracy

99.6%

Counts

2 689 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(fma.f64 (/.f64 (sqrt.f64 (fabs.f64 a)) a) (/.f64 (sqrt.f64 (fabs.f64 c)) #s(literal 1 binary64)) (/.f64 b_2 a))
	17.8%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a) b_2) a)
	14.5%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) b_2) a)
	22.9%	(/.f64 (fma.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 c) (-.f64 #s(literal 0 binary64) b_2)) a)
	26.4%	(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (-.f64 b_2 b_2)) a)
	31.8%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))
	11.7%	(/.f64 (-.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b_2) b_2) b_2) a)
	36.5%	(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64))))))))
	22.2%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2) a)
	22.8%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 c)) b_2) a)
	38.2%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) a))) b_2) a)
	26.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 c c #s(literal 0 binary64)) a)) c)) b_2) a)
✓	44.4%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) b_2) a)
	2.4%	(/.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) b_2)) b_2) a)
	12.5%	(/.f64 (+.f64 (neg.f64 b_2) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c (*.f64 c c)))) (sqrt.f64 (fma.f64 c c #s(literal 0 binary64)))) (sqrt.f64 a))) a)
	22.2%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
	21.2%	(/.f64 (+.f64 (neg.f64 b_2) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) c)) #s(literal 1/2 binary64))) (sqrt.f64 a))) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	42.5%	(/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))))
	11.2%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	32.4%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) a)
	19.0%	(/.f64 (neg.f64 b_2) a)
	2.6%	(/.f64 b_2 a)
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2)))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	31.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))
	31.6%	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
	14.5%	(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c) b_2))
	32.3%	(*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))
	31.8%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	38.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	11.3%	#s(literal 0 binary64)

Compiler

Compiled 1 181 to 531 computations (55% saved)

regimes74.0ms (0.7%)

Memory

-4.2MiB live, 191.2MiB allocated

Counts

58 → 4

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.7%	1	`a`
92.6%	4	`b_2`
58.7%	1	`c`
80.9%	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)

regimes17.0ms (0.2%)

Memory

14.3MiB live, 53.5MiB allocated

Counts

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

Outputs
(/.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

1 calls:

15.0ms

b_2

Results

Accuracy	Segments	Branch
89.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

-29.3MiB live, 20.0MiB 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 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.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 #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 (sqrt.f64 (fabs.f64 (*.f64 a c))) a)
(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) c)) b_2)
(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -2 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(/.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) b_2)) b_2) a)
(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (-.f64 b_2 b_2)) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 a c #s(literal 0 binary64)))) b_2))
(/.f64 (-.f64 (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b_2) b_2) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)

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

Calls

1 calls:

9.0ms

b_2

Results

Accuracy	Segments	Branch
83.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

16 → 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 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.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 #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 (sqrt.f64 (fabs.f64 (*.f64 a c))) a)

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
82.7%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms	b_2
5.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
53.7%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
67.5%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes36.0ms (0.3%)

Memory

-29.3MiB live, 10.0MiB allocated

Counts

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

Calls

1 calls:

36.0ms

b_2

Results

Accuracy	Segments	Branch
67.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

8.6MiB live, 8.6MiB 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 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.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 c (/.f64 #s(literal -1/2 binary64) b_2))

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
67.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-10.5MiB live, 28.5MiB 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 c (/.f64 #s(literal -1/2 binary64) b_2))

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

Calls

4 calls:

3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
3.0ms	a
2.0ms	c
2.0ms	b_2

Results

Accuracy	Segments	Branch
34.1%	2	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
31.8%	1	`a`
31.8%	1	`c`
48.4%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
20.6%	2	`a`
22.2%	3	`c`
19.0%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
27.5%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes8.0ms (0.1%)

Memory

-21.8MiB live, 17.3MiB allocated

Accuracy

Total -5.9b remaining (-10.5%)

Threshold costs -5.9b (-10.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

4 calls:

3.0ms	c
2.0ms	b_2
2.0ms	a
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
11.3%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
11.3%	1	`a`
11.3%	1	`c`
11.3%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch51.0ms (0.5%)

Memory

30.5MiB live, 109.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
26.0ms	1.0814400859432358e-118	1.5542682157498434e-108
18.0ms	-1.1469380091306444e-192	-1.2824429186028762e-196
2.0ms	-2.3630813348305227e+154	-8.03625426204309e+143

Samples

17.0ms	259×	0	valid
9.0ms	110×	0	invalid
4.0ms	34×	1	valid
2.0ms	11×	2	valid

Compiler

Compiled 595 to 426 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (28.2% of total)

ival-add: 4.0ms (18.8% of total)

ival-div: 3.0ms (14.1% of total)

ival-sqrt: 3.0ms (14.1% of total)

ival-sub: 2.0ms (9.4% of total)

ival-neg: 2.0ms (9.4% of total)

adjust: 1.0ms (4.7% of total)

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

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

bsearch36.0ms (0.3%)

Memory

-34.3MiB live, 82.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
16.0ms	1.4637484824191028e-83	6.489393546486475e-83
12.0ms	-2.3630813348305227e+154	-8.03625426204309e+143

Samples

13.0ms	171×	0	valid
3.0ms	26×	1	valid
3.0ms	30×	0	invalid
2.0ms	10×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 357 to 250 computations (30% saved)

Precisions

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

ival-mult: 3.0ms (22.5% of total)

ival-div: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

adjust: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

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

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

bsearch40.0ms (0.4%)

Memory

25.0MiB live, 101.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4637484824191028e-83	6.489393546486475e-83
20.0ms	-9.399278589975044e-66	-4.317069073233405e-81

Samples

16.0ms	218×	0	valid
3.0ms	25×	1	valid
3.0ms	47×	0	invalid
2.0ms	13×	2	valid

Compiler

Compiled 371 to 272 computations (26.7% saved)

Precisions

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

ival-mult: 4.0ms (26.4% of total)

ival-sqrt: 3.0ms (19.8% of total)

ival-div: 2.0ms (13.2% of total)

ival-sub: 2.0ms (13.2% of total)

ival-neg: 2.0ms (13.2% of total)

ival-add: 2.0ms (13.2% of total)

adjust: 1.0ms (6.6% of total)

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

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

bsearch91.0ms (0.9%)

Memory

-9.0MiB live, 108.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.0814400859432358e-118	1.5542682157498434e-108
41.0ms	-2.2037083699179856e-142	-1.1796022758936831e-153

Samples

28.0ms	125×	0	invalid
18.0ms	2×	3	valid
18.0ms	265×	0	valid
5.0ms	41×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 419 to 316 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 41.0ms (69.5% of total)

ival-mult: 6.0ms (10.2% of total)

ival-sqrt: 4.0ms (6.8% of total)

ival-sub: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% of total)

ival-add: 2.0ms (3.4% of total)

adjust: 1.0ms (1.7% of total)

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

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

bsearch26.0ms (0.3%)

Memory

13.8MiB live, 52.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

10.0ms	160×	0	valid
6.0ms	75×	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 (27.7% of total)

ival-sqrt: 3.0ms (27.7% of total)

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

ival-sub: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

ival-neg: 1.0ms (9.2% of total)

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

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

bsearch26.0ms (0.2%)

Memory

11.6MiB live, 49.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

10.0ms	160×	0	valid
6.0ms	62×	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: 5.0ms (44.9% of total)

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

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

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

ival-sqrt: 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)

bsearch32.0ms (0.3%)

Memory

-36.9MiB live, 51.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

10.0ms	160×	0	valid
5.0ms	78×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-mult: 3.0ms (31% of total)

ival-div: 2.0ms (20.7% of total)

ival-sqrt: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

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

bsearch25.0ms (0.2%)

Memory

17.1MiB live, 56.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

10.0ms	160×	0	valid
5.0ms	69×	0	invalid

Compiler

Compiled 189 to 146 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (32.9% of total)

ival-div: 2.0ms (21.9% of total)

ival-sqrt: 2.0ms (21.9% of total)

ival-sub: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

ival-neg: 1.0ms (11% of total)

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

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

bsearch25.0ms (0.2%)

Memory

3.0MiB live, 40.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.288280279537632e-91	1.4586046611378892e-83

Samples

7.0ms	37×	1	valid
6.0ms	88×	0	valid
3.0ms	19×	2	valid
1.0ms	17×	0	invalid

Compiler

Compiled 136 to 115 computations (15.4% saved)

Precisions

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

adjust: 4.0ms (31% of total)

ival-mult: 3.0ms (23.3% of total)

ival-div: 2.0ms (15.5% of total)

ival-sqrt: 2.0ms (15.5% of total)

ival-sub: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

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

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

simplify17.0ms (0.2%)

Memory

-11.9MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	195
1	96	193
2	114	193
3	123	193
4	128	193
5	129	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal -2876636821159267/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 b_2 #s(literal 8197094012999083/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fabs.f64 a)) a) (/.f64 (sqrt.f64 (fabs.f64 c)) #s(literal 1 binary64)) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8338893388235233/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 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 -733332951480415/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5878236322854345/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8733909536480567/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (sqrt.f64 (fabs.f64 (.f64 a c))) 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 1872220843092623/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal -2876636821159267/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 b_2 #s(literal 8197094012999083/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fabs.f64 a)) a) (/.f64 (sqrt.f64 (fabs.f64 c)) #s(literal 1 binary64)) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal -2876636821159267/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 #s(literal 8197094012999083/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fabs.f64 a)) a) (sqrt.f64 (fabs.f64 c)) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8338893388235233/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 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 -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8338893388235233/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -733332951480415/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5878236322854345/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8733909536480567/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (sqrt.f64 (fabs.f64 (.f64 a c))) 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 1872220843092623/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.1s (10.8%)

Memory

-26.2MiB live, 1 001.9MiB allocated

Rules

12 174×	`accelerator-lowering-fma.f32`
12 174×	`accelerator-lowering-fma.f64`
11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
7 888×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	102
1	166	100
2	1264	86
0	9499	86
0	508	3176
1	1606	3136
2	5520	3120
0	8782	2984
0	580	5922
1	1825	5844
2	6346	5817
0	8147	5603
0	34	164
1	214	155
2	1865	147
0	9387	141
0	131	2753
1	390	2730
2	1210	2730
3	3264	2694
4	5677	2694
5	7832	2694
0	8169	2649

Stop Event

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

Compiler

Compiled 597 to 356 computations (40.4% saved)

preprocess123.0ms (1.2%)

Memory: -1.2MiB live, 198.8MiB allocated
Compiler: Compiled 612 to 218 computations (64.4% 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

analyze109.0ms (1%)

sample1.3s (12.8%)

preprocess124.0ms (1.2%)

explain145.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.3%)

localize41.0ms (0.4%)

series18.0ms (0.2%)

rewrite291.0ms (2.8%)

simplify473.0ms (4.5%)

eval95.0ms (0.9%)

prune322.0ms (3.1%)

simplify189.0ms (1.8%)

localize138.0ms (1.3%)

series58.0ms (0.6%)

rewrite349.0ms (3.4%)

simplify597.0ms (5.7%)

eval160.0ms (1.5%)

prune150.0ms (1.4%)

simplify469.0ms (4.5%)

localize291.0ms (2.8%)

series23.0ms (0.2%)

rewrite441.0ms (4.2%)

simplify329.0ms (3.2%)

eval249.0ms (2.4%)

prune279.0ms (2.7%)

simplify132.0ms (1.3%)

localize155.0ms (1.5%)

series34.0ms (0.3%)

rewrite613.0ms (5.9%)

simplify270.0ms (2.6%)

eval332.0ms (3.2%)

prune363.0ms (3.5%)

regimes74.0ms (0.7%)

regimes17.0ms (0.2%)

regimes24.0ms (0.2%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes36.0ms (0.3%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch51.0ms (0.5%)

bsearch36.0ms (0.3%)

bsearch40.0ms (0.4%)

bsearch91.0ms (0.9%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.2%)

bsearch32.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch25.0ms (0.2%)

simplify17.0ms (0.2%)

soundness1.1s (10.8%)

preprocess123.0ms (1.2%)

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