Metrics for quad2p (problem 3.2.1, positive)

analyze131.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 20.0ms (31.4% of total)

ival-neg: 12.0ms (18.9% of total)

ival-sqrt: 10.0ms (15.7% of total)

ival-sub: 7.0ms (11% of total)

ival-div: 7.0ms (11% of total)

ival-add: 7.0ms (11% of total)

const: 1.0ms (1.6% of total)

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

sample1.7s (10.6%)

Results

479.0ms	5578×	0	valid
359.0ms	1930×	1	valid
182.0ms	1155×	0	invalid
222.0ms	748×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 844.0ms

ival-mult: 296.0ms (35.1% of total)

ival-add: 116.0ms (13.8% of total)

ival-sqrt: 108.0ms (12.8% of total)

ival-div: 99.0ms (11.7% of total)

ival-neg: 77.0ms (9.1% of total)

ival-sub: 73.0ms (8.7% of total)

backward-pass: 66.0ms (7.8% of total)

const: 8.0ms (0.9% of total)

Bogosity

preprocess121.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1014×	`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 (.f64 b_2 b_2) (.f64 a c))) 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)

explain134.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
58	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
22	-	1	(-6.707877598528217e-37 1.87835007757762e+50 1.2682229504634414e-229)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
8	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`b_2`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`a`
0	-	0	-	`(*.f64 b_2 b_2)`

Results

36.0ms	336×	0	valid
30.0ms	122×	1	valid
20.0ms	54×	2	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 10.0ms (24.9% of total)

ival-sqrt: 6.0ms (14.9% of total)

backward-pass: 6.0ms (14.9% of total)

ival-div: 5.0ms (12.4% of total)

ival-sub: 4.0ms (9.9% of total)

ival-neg: 4.0ms (9.9% of total)

ival-add: 4.0ms (9.9% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize123.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	97.5%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	92.3%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	79.4%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	61.4%	(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`
140×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	20	46
2	37	46
3	60	46
4	103	46
5	153	46
6	254	46
7	380	46
8	593	46
9	833	46
10	843	46
11	869	46
12	889	46
0	889	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

19.0ms	168×	0	valid
12.0ms	61×	1	valid
8.0ms	27×	2	valid

Compiler

Compiled 50 to 10 computations (80% saved)

Precisions

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

ival-sqrt: 7.0ms (33.1% of total)

ival-mult: 5.0ms (23.6% of total)

ival-sub: 4.0ms (18.9% of total)

ival-div: 3.0ms (14.2% of total)

backward-pass: 2.0ms (9.5% of total)

const: 0.0ms (0% of total)

series57.0ms (0.4%)

Counts

4 → 144

Calls

Call 1

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

Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* 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 (* (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 (* -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
37.0ms	c	@	0	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.0ms	a	@	-inf	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.0ms	a	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	a	@	inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	c	@	inf	(sqrt (- (* b_2 b_2) (* a c)))

rewrite559.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4764×	`accelerator-lowering-fma.f32`
4764×	`accelerator-lowering-fma.f64`
4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
2352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	55	37
2	443	37
3	5441	37
0	8313	37

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 398

Calls

Call 1

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

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

simplify966.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

11022×	`accelerator-lowering-fma.f32`
11022×	`accelerator-lowering-fma.f64`
7132×	`-lowering-.f32`
7132×	`-lowering-.f64`
3498×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3176
1	1606	3136
2	5518	3120
0	8783	2984

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval103.0ms (0.7%)

Compiler: Compiled 19716 to 4336 computations (78% saved)

prune102.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	527	15	542
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	527	16	543

Accuracy

91.8%

Counts

543 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.9%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	25.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
▶	48.9%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
	48.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	29.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
	9.8%	(/.f64 (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)))) b_2) a)
	33.0%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (*.f64 a a))
✓	48.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
▶	19.5%	(/.f64 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2))))) a)
	37.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	31.8%	(/.f64 (.f64 b_2 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))) a)
▶	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	34.3%	(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
▶	34.9%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 549 to 345 computations (37.2% saved)

localize851.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
✓	cost-diff	0	(/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)
✓	cost-diff	256	(+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (.f64 b_2 b_2))))
✓	cost-diff	256	(.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2)))))
✓	cost-diff	256	(/.f64 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2))))) a)
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	cost-diff	256	(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
✓	accuracy	97.5%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	92.7%	(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	accuracy	79.4%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	61.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	93.1%	(+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (.f64 b_2 b_2))))
✓	accuracy	92.0%	(.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2)))))
✓	accuracy	84.8%	(/.f64 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2))))) a)
✓	accuracy	77.3%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2)))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	93.9%	(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	88.7%	(/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	accuracy	97.5%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	92.3%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
✓	accuracy	79.4%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)
✓	accuracy	63.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))

Rules

4176×	`-lowering-.f32`
4176×	`-lowering-.f64`
3696×	`accelerator-lowering-fma.f32`
3696×	`accelerator-lowering-fma.f64`
1742×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	253
1	94	253
2	253	251
3	835	244
4	2347	244
5	3336	242
6	4441	242
7	5817	242
0	8064	237

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

126.0ms	167×	0	valid
137.0ms	46×	2	valid
97.0ms	24×	3	valid
28.0ms	19×	1	valid

Compiler

Compiled 305 to 101 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-pow: 87.0ms (29.1% of total)

ival-mult: 74.0ms (24.7% of total)

ival-div: 71.0ms (23.7% of total)

backward-pass: 27.0ms (9% of total)

ival-add: 16.0ms (5.4% of total)

ival-sub: 15.0ms (5% of total)

const: 5.0ms (1.7% of total)

ival-sqrt: 4.0ms (1.3% of total)

series88.0ms (0.6%)

Counts

21 → 660

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
6.0ms	b_2	@	-inf	(/ (* c (+ (/ (* a -1/2) b_2) (/ (* -1/8 (* a (* a c))) (* b_2 (* b_2 b_2))))) a)
4.0ms	c	@	inf	(/ (* c -1/2) (* b_2 b_2))
2.0ms	c	@	inf	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
2.0ms	a	@	-inf	(/ 1 (- (* b_2 b_2) (* a c)))
2.0ms	a	@	inf	(/ (* c (+ (/ (* a -1/2) b_2) (/ (* -1/8 (* a (* a c))) (* b_2 (* b_2 b_2))))) a)

rewrite635.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4076×	`/-lowering-/.f32`
4076×	`/-lowering-/.f64`
3806×	`-lowering-.f32`
3806×	`-lowering-.f64`
3650×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	225
1	239	207
2	2583	207
0	8261	202

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1032

Calls

Call 1

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

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

simplify780.0ms (5%)

Algorithm

1×	egg-herbie

Rules

9896×	`accelerator-lowering-fma.f32`
9896×	`accelerator-lowering-fma.f64`
7916×	`-lowering-.f32`
7916×	`-lowering-.f64`
4934×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1007	11531
1	3268	11338
0	8813	10862

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval421.0ms (2.7%)

Compiler: Compiled 51022 to 20316 computations (60.2% saved)

prune360.0ms (2.3%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1884	26	1910
Fresh	3	7	10
Picked	4	1	5
Done	0	1	1
Total	1891	35	1926

Accuracy

92.4%

Counts

1926 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.9%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	25.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	30.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a a)))) (/.f64 #s(literal -1 binary64) a)) c) #s(literal -1/2 binary64)) b_2) a)
	32.3%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b_2) a)
	48.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	29.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
	33.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 a b_2)) (*.f64 a a))
✓	48.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
	23.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
	21.1%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (.f64 b_2 (neg.f64 b_2))) b_2)
	16.0%	(/.f64 (.f64 (+.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 (.f64 b_2 #s(literal 2 binary64)))) (neg.f64 b_2)) (.f64 b_2 (*.f64 b_2 a)))
	26.4%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)) a)
	9.8%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	37.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	32.4%	(/.f64 (.f64 b_2 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))) a)
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c))
	36.5%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)))
▶	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2)))
	36.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
	36.3%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))))
▶	34.8%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	34.9%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	29.3%	(.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
	32.2%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) a) (-.f64 #s(literal 0 binary64) b_2))
	34.9%	(*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 #s(literal 0 binary64) b_2))
▶	48.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	34.3%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
	26.5%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 a c))))
	34.3%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	14.0%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (.f64 b_2 (neg.f64 b_2))) (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))))
▶	23.8%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)))
✓	34.9%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	16.8%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))

Compiler

Compiled 1165 to 787 computations (32.4% saved)

localize876.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2)))
✓	cost-diff	0	(/.f64 (.f64 b_2 b_2) (.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c #s(literal -1/2 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a))
✓	cost-diff	384	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) a)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 0 binary64) a) b_2)
✓	cost-diff	448	(/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 (-.f64 #s(literal 0 binary64) a) b_2))
✓	cost-diff	448	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)))
✓	cost-diff	0	(/.f64 a b_2)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	accuracy	100.0%	(*.f64 c (-.f64 #s(literal 0 binary64) a))
✓	accuracy	99.8%	(/.f64 a (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2)))
✓	accuracy	84.3%	(sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c #s(literal -1/2 binary64))))
✓	accuracy	94.0%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	92.3%	(/.f64 (.f64 b_2 b_2) (.f64 c #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 b_2 (neg.f64 b_2))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)))
✓	accuracy	80.5%	(/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 (-.f64 #s(literal 0 binary64) a) b_2))
✓	accuracy	100.0%	(/.f64 a b_2)
✓	accuracy	99.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
✓	accuracy	100.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	accuracy	90.4%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	79.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Rules

3794×	`accelerator-lowering-fma.f32`
3794×	`accelerator-lowering-fma.f64`
2636×	`-lowering-.f32`
2636×	`-lowering-.f64`
2036×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	179
1	82	177
2	253	165
3	912	161
4	3503	160
5	6865	160
0	8033	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

79.0ms	122×	0	valid
56.0ms	92×	0	invalid
39.0ms	28×	1	valid
30.0ms	14×	2	valid

Compiler

Compiled 221 to 105 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-div: 42.0ms (28.7% of total)

ival-mult: 36.0ms (24.6% of total)

ival-sub: 32.0ms (21.8% of total)

ival-sqrt: 13.0ms (8.9% of total)

backward-pass: 10.0ms (6.8% of total)

ival-add: 7.0ms (4.8% of total)

const: 5.0ms (3.4% of total)

ival-neg: 1.0ms (0.7% of total)

series45.0ms (0.3%)

Counts

22 → 588

Calls

Call 1

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

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

Calls

147 calls:

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

rewrite595.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4442×	`-lowering-.f32`
4442×	`-lowering-.f64`
3746×	`/-lowering-/.f32`
3746×	`/-lowering-/.f64`
3320×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	157
1	219	141
2	2064	134
0	9746	125

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1016

Calls

Call 1

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

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

simplify731.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

9666×	`accelerator-lowering-fma.f32`
9666×	`accelerator-lowering-fma.f64`
7020×	`-lowering-.f32`
7020×	`-lowering-.f64`
3566×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	703	6823
1	2240	6636
2	7487	6631
0	8134	6415

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval455.0ms (2.9%)

Compiler: Compiled 34278 to 15902 computations (53.6% saved)

prune429.0ms (2.7%)

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	1634	24	1658
Fresh	8	20	28
Picked	3	2	5
Done	0	2	2
Total	1645	48	1693

Accuracy

94.8%

Counts

1693 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	2.1%	(/.f64 (/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2))) a) b_2)
	34.8%	(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
	30.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a a)))) (/.f64 #s(literal -1 binary64) a)) c) #s(literal -1/2 binary64)) b_2) a)
	32.3%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b_2) a)
	48.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	29.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
	33.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 a b_2)) (*.f64 a a))
✓	48.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
▶	23.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
	21.1%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (.f64 b_2 (neg.f64 b_2))) b_2)
▶	23.8%	(/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a))
	9.8%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	37.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	32.4%	(/.f64 (.f64 b_2 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))) a)
	2.4%	(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
▶	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c))
	36.5%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
▶	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)))
	16.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2)))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2)))
	36.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
✓	34.8%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	2.1%	(/.f64 #s(literal -2 binary64) (.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2))) b_2))
	34.8%	(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
	2.4%	(/.f64 #s(literal -2 binary64) (*.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) b_2))))
	16.8%	(/.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 a)) #s(literal -1 binary64))))
	34.9%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	14.1%	(.f64 (/.f64 (/.f64 (+.f64 a (/.f64 #s(literal 2 binary64) (.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))) (/.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64))) a) (-.f64 #s(literal 0 binary64) b_2))
	29.3%	(.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (/.f64 b_2 #s(literal -1/2 binary64))) (.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
	32.2%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) a) (-.f64 #s(literal 0 binary64) b_2))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))
	31.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2))
	31.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)))
	21.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (*.f64 b_2 b_2)) b_2))))
	21.4%	(.f64 (/.f64 #s(literal -2 binary64) b_2) (/.f64 (.f64 b_2 b_2) a))
	34.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	34.3%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
	20.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 a a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	26.5%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 a c))))
	34.3%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
▶	2.4%	(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
	23.7%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 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) a) b_2)))
	2.5%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 (.f64 (.f64 a a) b_2) a)))
	4.8%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a a))) b_2)))
✓	34.9%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	16.2%	(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a b_2) #s(literal -2 binary64))) #s(literal -1 binary64)))

Compiler

Compiled 1531 to 1042 computations (31.9% saved)

localize1.2s (7.9%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	cost-diff	128	(-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a)))
✓	cost-diff	320	(.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (neg.f64 b_2))
✓	cost-diff	320	(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c))
✓	cost-diff	0	(*.f64 b_2 a)
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(.f64 (.f64 b_2 b_2) #s(literal -2 binary64))
✓	cost-diff	256	(/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a))
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)))
✓	accuracy	93.8%	(-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a)))
✓	accuracy	88.7%	(/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))
✓	accuracy	87.6%	(.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (neg.f64 b_2))
✓	accuracy	67.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c))
✓	accuracy	95.9%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c)
✓	accuracy	91.4%	(/.f64 (*.f64 a c) b_2)
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(*.f64 b_2 a)
✓	accuracy	100.0%	(.f64 (.f64 b_2 b_2) #s(literal -2 binary64))
✓	accuracy	66.6%	(/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
✓	accuracy	97.5%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	92.7%	(/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2))
✓	accuracy	79.4%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)
✓	accuracy	63.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))

Rules

6696×	`accelerator-lowering-fma.f32`
6696×	`accelerator-lowering-fma.f64`
4350×	`-lowering-.f32`
4350×	`-lowering-.f64`
2786×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	316
1	109	306
2	296	298
3	887	296
4	3251	284
5	7604	280
0	8030	272

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ a (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)))
1
(/ a (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2))
a
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
-1/2
(* 2 (/ b_2 a))
2
(/ b_2 a)
(/ (* (* b_2 b_2) -2) (* b_2 a))
(* (* b_2 b_2) -2)
-2
(* b_2 a)
(/ 1 (/ (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2))) c))
(/ (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2))) c)
(+ (* b_2 -2) (* 1/2 (/ (* a c) b_2)))
(* b_2 -2)
(* 1/2 (/ (* a c) b_2))
1/2
(/ (* a c) b_2)
(/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
(* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2))
(- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a)))
(* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2)))
(* (/ c b_2) (/ c b_2))
(/ c b_2)
(* (/ -1/2 b_2) (/ -1/2 b_2))
(/ -1/2 b_2)
(/ 4 (* a a))
4
(* a a)
(neg b_2)
(- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))
(/ (* c -1/2) (* b_2 b_2))
(* c -1/2)
(/ 2 a)

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

Results

208.0ms	167×	0	valid
194.0ms	45×	2	valid
136.0ms	25×	3	valid
41.0ms	19×	1	valid

Compiler

Compiled 343 to 143 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-div: 188.0ms (40.6% of total)

ival-pow: 131.0ms (28.3% of total)

ival-mult: 74.0ms (16% of total)

backward-pass: 33.0ms (7.1% of total)

ival-sub: 19.0ms (4.1% of total)

ival-add: 9.0ms (1.9% of total)

const: 8.0ms (1.7% of total)

ival-neg: 2.0ms (0.4% of total)

series120.0ms (0.8%)

Counts

22 → 648

Calls

Call 1

Inputs
#<alt (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)>
#<alt (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)>
#<alt (/ a (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* 2 (/ b_2 a))>
#<alt (/ b_2 a)>
#<alt (/ (* (* b_2 b_2) -2) (* b_2 a))>
#<alt (* (* b_2 b_2) -2)>
#<alt (* b_2 a)>
#<alt (* b_2 b_2)>
#<alt (/ (* a c) b_2)>
#<alt (/ (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ 1 (/ (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2))) c))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))>
#<alt (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2))>
#<alt (/ (* c -1/2) (* b_2 b_2))>
#<alt (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a)))>
#<alt (/ 1 (/ a (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)))>
#<alt (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* b_2 -2)>
#<alt (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2)))>

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

Calls

162 calls:

Time	Variable		Point	Expression
35.0ms	c	@	-inf	(/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
2.0ms	c	@	-inf	(/ (* a c) b_2)
2.0ms	b_2	@	0	(/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
2.0ms	c	@	0	(/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
1.0ms	a	@	0	(/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))

rewrite730.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5234×	`/-lowering-/.f32`
5234×	`/-lowering-/.f64`
4636×	`-lowering-.f32`
4636×	`-lowering-.f64`
3756×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	232
1	275	196
2	2504	188
0	8559	182

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1287

Calls

Call 1

Inputs
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(/ a (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2))
(- (* b_2 b_2) (* a c))
(* 2 (/ b_2 a))
(/ b_2 a)
(/ (* (* b_2 b_2) -2) (* b_2 a))
(* (* b_2 b_2) -2)
(* b_2 a)
(* b_2 b_2)
(/ (* a c) b_2)
(/ (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2))) c)
(/ 1 (/ (+ (* b_2 -2) (* 1/2 (/ (* a c) b_2))) c))
(* 1/2 (/ (* a c) b_2))
(/ (* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2)) (- (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
(* (- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a))) (neg b_2))
(/ (* c -1/2) (* b_2 b_2))
(- (* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2))) (/ 4 (* a a)))
(/ 1 (/ a (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)))
(+ (* b_2 -2) (* 1/2 (/ (* a c) b_2)))
(* b_2 -2)
(* (* (/ c b_2) (/ c b_2)) (* (/ -1/2 b_2) (/ -1/2 b_2)))

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

simplify879.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

10088×	`accelerator-lowering-fma.f32`
10088×	`accelerator-lowering-fma.f64`
8280×	`-lowering-.f32`
8280×	`-lowering-.f64`
5042×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1033	8839
1	3373	8695
0	8931	8344

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

eval991.0ms (6.3%)

Compiler: Compiled 54854 to 26069 computations (52.5% saved)

prune446.0ms (2.9%)

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	1963	12	1975
Fresh	2	37	39
Picked	3	2	5
Done	1	3	4
Total	1969	54	2023

Accuracy

94.8%

Counts

2023 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	2.1%	(/.f64 (/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2))) a) b_2)
	34.8%	(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
	30.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a a)))) (/.f64 #s(literal -1 binary64) a)) c) #s(literal -1/2 binary64)) b_2) a)
	32.3%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b_2) a)
	48.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	29.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
	33.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 a b_2)) (*.f64 a a))
✓	48.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
	23.2%	(/.f64 (.f64 (-.f64 (/.f64 (.f64 (/.f64 (/.f64 c b_2) (/.f64 b_2 c)) (/.f64 #s(literal 1/4 binary64) b_2)) b_2) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
	23.5%	(/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 b_2 c)) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
	21.1%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (.f64 b_2 (neg.f64 b_2))) b_2)
✓	23.8%	(/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a))
	9.8%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	37.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	32.4%	(/.f64 (.f64 b_2 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))) a)
	2.4%	(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
	25.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 a (/.f64 b_2 c)))) (.f64 (.f64 b_2 b_2) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 (*.f64 a c))) (/.f64 b_2 #s(literal -1/2 binary64)))) c))
	23.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 a (/.f64 b_2 c))))) (.f64 c (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 b_2 c)))))))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c))))) c))
	36.5%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) c))
	32.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64)) b_2)))
	16.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2)))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2)))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
	36.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
✓	34.8%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	2.1%	(/.f64 #s(literal -2 binary64) (.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2))) b_2))
	34.8%	(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
	2.4%	(/.f64 #s(literal -2 binary64) (*.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) b_2))))
	16.8%	(/.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 a)) #s(literal -1 binary64))))
	34.9%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	14.1%	(.f64 (/.f64 (/.f64 (+.f64 a (/.f64 #s(literal 2 binary64) (.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))) (/.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64))) a) (-.f64 #s(literal 0 binary64) b_2))
	29.3%	(.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (/.f64 b_2 #s(literal -1/2 binary64))) (.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
	32.2%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) a) (-.f64 #s(literal 0 binary64) b_2))
	21.4%	(.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 #s(literal -2 binary64) b_2))
	34.7%	(.f64 (/.f64 b_2 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal 2 binary64) a)))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))
	31.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2))
	21.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (*.f64 b_2 b_2)) b_2))))
	34.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	20.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 a a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	26.7%	(.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal -2 binary64) a)) (neg.f64 (/.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal -2 binary64) a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal 2 binary64) a)))
	26.5%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 a c))))
	34.3%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	2.2%	(.f64 #s(literal 2 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 b_2 a)))
✓	2.4%	(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
	23.7%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 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) a) b_2)))
	2.5%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 (.f64 (.f64 a a) b_2) a)))
	4.8%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a a))) b_2)))
✓	34.9%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	16.2%	(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a b_2) #s(literal -2 binary64))) #s(literal -1 binary64)))

Compiler

Compiled 2185 to 1260 computations (42.3% saved)

regimes401.0ms (2.6%)

Counts

79 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

152.0ms	b_2
126.0ms	a
62.0ms	c
49.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
59.8%	9	`a`
87.9%	3	`b_2`
53.8%	5	`c`
73.8%	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)

regimes62.0ms (0.4%)

Counts

66 → 3

Calls

Call 1

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

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

Calls

1 calls:

55.0ms

b_2

Results

Accuracy	Segments	Branch
87.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes63.0ms (0.4%)

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

53.0ms

b_2

Results

Accuracy	Segments	Branch
85.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.3%)

Counts

58 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) b_2))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 b_2 a)))
(.f64 (/.f64 #s(literal -2 binary64) b_2) (/.f64 (.f64 b_2 b_2) a))
(.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 #s(literal -2 binary64) b_2))
(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2))) a) b_2)
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))
(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal -2 binary64) (.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) c))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)))
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 (.f64 (.f64 a a) b_2) a)))
(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(.f64 (/.f64 b_2 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (.f64 b_2 (neg.f64 b_2))) (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))))
(/.f64 (.f64 b_2 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))) a)
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) a) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (.f64 b_2 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)))) b_2) a)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (.f64 b_2 (neg.f64 b_2))) b_2)
(.f64 #s(literal -2 binary64) (/.f64 (.f64 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) a) b_2)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)))
(.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (/.f64 b_2 #s(literal -1/2 binary64))) (.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c))))) c))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 (.f64 b_2 #s(literal 2 binary64)))) (neg.f64 b_2)) (.f64 b_2 (*.f64 b_2 a)))
(/.f64 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2))))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (*.f64 b_2 b_2)) b_2))))
(.f64 (/.f64 (/.f64 (+.f64 a (/.f64 #s(literal 2 binary64) (.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))) (/.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64))) a) (-.f64 #s(literal 0 binary64) b_2))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a a))) b_2)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (/.f64 (/.f64 c b_2) (/.f64 b_2 c)) (/.f64 #s(literal 1/4 binary64) b_2)) b_2) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 a (/.f64 b_2 c))))) (.f64 c (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 b_2 c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 a (/.f64 b_2 c)))) (.f64 (.f64 b_2 b_2) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 (*.f64 a c))) (/.f64 b_2 #s(literal -1/2 binary64)))) c))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 b_2 c)) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal -2 binary64) a)) (neg.f64 (/.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal -2 binary64) a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2)))

Outputs

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

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

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

Calls

1 calls:

42.0ms

b_2

Results

Accuracy	Segments	Branch
85.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

Counts

56 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) b_2))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 b_2 a)))
(.f64 (/.f64 #s(literal -2 binary64) b_2) (/.f64 (.f64 b_2 b_2) a))
(.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 #s(literal -2 binary64) b_2))
(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2))) a) b_2)
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))
(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal -2 binary64) (.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) c))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)))
(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 (.f64 (.f64 a a) b_2) a)))
(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(.f64 (/.f64 b_2 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))) c))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (.f64 b_2 (neg.f64 b_2))) (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))))
(/.f64 (.f64 b_2 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))) a)
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) a) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (.f64 b_2 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2)))) b_2) a)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (.f64 b_2 (neg.f64 b_2))) b_2)
(.f64 #s(literal -2 binary64) (/.f64 (.f64 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) a) b_2)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)))
(.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (/.f64 b_2 #s(literal -1/2 binary64))) (.f64 b_2 a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c))))) c))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 (.f64 b_2 #s(literal 2 binary64)))) (neg.f64 b_2)) (.f64 b_2 (*.f64 b_2 a)))
(/.f64 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2))))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (*.f64 b_2 b_2)) b_2))))
(.f64 (/.f64 (/.f64 (+.f64 a (/.f64 #s(literal 2 binary64) (.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))) (/.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64))) a) (-.f64 #s(literal 0 binary64) b_2))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (.f64 a a) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a a))) b_2)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (/.f64 (/.f64 c b_2) (/.f64 b_2 c)) (/.f64 #s(literal 1/4 binary64) b_2)) b_2) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 a (/.f64 b_2 c))))) (.f64 c (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 b_2 c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 a (/.f64 b_2 c)))) (.f64 (.f64 b_2 b_2) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 (*.f64 a c))) (/.f64 b_2 #s(literal -1/2 binary64)))) c))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c b_2) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 b_2 c)) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 #s(literal 4 binary64) (.f64 a a))) (neg.f64 b_2)) (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal -2 binary64) a)) (neg.f64 (/.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal -2 binary64) a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b_2 c) b_2)) (/.f64 #s(literal 2 binary64) a)))

Outputs
(+.f64 (/.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)

Calls

1 calls:

41.0ms

b_2

Results

Accuracy	Segments	Branch
69.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

b_2

Results

Accuracy	Segments	Branch
69.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Accuracy

Total -21.3b remaining (-51.2%)

Threshold costs -21.3b (-51.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	b_2
2.0ms	c
2.0ms	a

Results

Accuracy	Segments	Branch
34.9%	1	`a`
34.9%	1	`c`
34.9%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.8417986499731427e-57	1.1323933843418565e-56
18.0ms	-5.994595656602229e+131	-2.4567138544290753e+122

Results

16.0ms	197×	0	valid
7.0ms	38×	1	valid
1.0ms	18×	0	invalid
1.0ms	5×	2	valid

Compiler

Compiled 442 to 315 computations (28.7% saved)

Precisions

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

ival-mult: 4.0ms (26.6% of total)

ival-sqrt: 2.0ms (13.3% of total)

ival-div: 2.0ms (13.3% of total)

ival-sub: 2.0ms (13.3% of total)

ival-neg: 2.0ms (13.3% of total)

ival-add: 2.0ms (13.3% of total)

backward-pass: 1.0ms (6.6% of total)

const: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
19.0ms	1.8417986499731427e-57	1.1323933843418565e-56
4.0ms	-5.994595656602229e+131	-2.4567138544290753e+122

Results

6.0ms	83×	0	valid
6.0ms	38×	1	valid
2.0ms	13×	0	invalid
2.0ms	7×	2	valid

Compiler

Compiled 222 to 151 computations (32% saved)

Precisions

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

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

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

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

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

backward-pass: 1.0ms (9.3% of total)

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

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

const: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.8417986499731427e-57	1.1323933843418565e-56
16.0ms	-4.935383978706879e-22	-2.7480600380221394e-24

Results

14.0ms	168×	0	valid
4.0ms	41×	0	invalid
5.0ms	32×	1	valid
3.0ms	8×	2	valid

Compiler

Compiled 376 to 277 computations (26.3% saved)

Precisions

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

ival-mult: 5.0ms (32.3% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-div: 2.0ms (12.9% of total)

ival-sub: 2.0ms (12.9% of total)

ival-neg: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

backward-pass: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.8417986499731427e-57	1.1323933843418565e-56
16.0ms	-4.935383978706879e-22	-2.7480600380221394e-24

Results

15.0ms	169×	0	valid
3.0ms	45×	0	invalid
7.0ms	34×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 363 to 264 computations (27.3% saved)

Precisions

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

ival-mult: 5.0ms (29% of total)

ival-div: 3.0ms (17.4% of total)

ival-add: 3.0ms (17.4% of total)

ival-sqrt: 2.0ms (11.6% of total)

ival-sub: 2.0ms (11.6% of total)

ival-neg: 2.0ms (11.6% of total)

backward-pass: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-1.6473162628107084e-306	1.8450636391698636e-294

Results

12.0ms	160×	0	valid
10.0ms	110×	0	invalid

Compiler

Compiled 262 to 195 computations (25.6% saved)

Precisions

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

ival-mult: 4.0ms (29.4% of total)

ival-sub: 2.0ms (14.7% of total)

ival-div: 2.0ms (14.7% of total)

ival-sqrt: 2.0ms (14.7% of total)

ival-neg: 2.0ms (14.7% of total)

ival-add: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1.6473162628107084e-306	1.8450636391698636e-294

Results

13.0ms	160×	0	valid
10.0ms	106×	0	invalid

Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions

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

ival-mult: 4.0ms (31.2% of total)

ival-div: 2.0ms (15.6% of total)

ival-sqrt: 2.0ms (15.6% of total)

ival-neg: 2.0ms (15.6% of total)

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

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

const: 0.0ms (0% of total)

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

soundness3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 174 to 104 computations (40.2% saved)

preprocess140.0ms (0.9%)

Compiler: Compiled 564 to 280 computations (50.4% saved)

Iter	Nodes	Cost
0	9	46
1	20	46
2	37	46
3	60	46
4	103	46
5	153	46
6	254	46
7	380	46
8	593	46
9	833	46
10	843	46
11	869	46
12	889	46
0	889	46

Iter	Nodes	Cost
0	9	46
1	20	46
2	37	46
3	60	46
4	103	46
5	153	46
6	254	46
7	380	46
8	593	46
9	833	46
10	843	46
11	869	46
12	889	46
0	889	46

analyze131.0ms (0.8%)

sample1.7s (10.6%)

preprocess121.0ms (0.8%)

explain134.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize123.0ms (0.8%)

series57.0ms (0.4%)

rewrite559.0ms (3.6%)

simplify966.0ms (6.2%)

eval103.0ms (0.7%)

prune102.0ms (0.7%)

localize851.0ms (5.4%)

series88.0ms (0.6%)

rewrite635.0ms (4.1%)

simplify780.0ms (5%)

eval421.0ms (2.7%)

prune360.0ms (2.3%)

localize876.0ms (5.6%)

series45.0ms (0.3%)

rewrite595.0ms (3.8%)

simplify731.0ms (4.7%)

eval455.0ms (2.9%)

prune429.0ms (2.7%)

localize1.2s (7.9%)

series120.0ms (0.8%)

rewrite730.0ms (4.7%)

simplify879.0ms (5.6%)

eval991.0ms (6.3%)

prune446.0ms (2.9%)

regimes401.0ms (2.6%)

regimes62.0ms (0.4%)

regimes63.0ms (0.4%)

regimes49.0ms (0.3%)

regimes45.0ms (0.3%)

regimes12.0ms (0.1%)

regimes7.0ms (0%)

bsearch39.0ms (0.2%)

bsearch25.0ms (0.2%)

bsearch38.0ms (0.2%)

bsearch38.0ms (0.2%)

bsearch34.0ms (0.2%)

bsearch33.0ms (0.2%)

soundness3.0ms (0%)

preprocess140.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	46
1	20	46
2	37	46
3	60	46
4	103	46
5	153	46
6	254	46
7	380	46
8	593	46
9	833	46
10	843	46
11	869	46
12	889	46
0	889	46