Metrics for quad2m (problem 3.2.1, negative)

analyze108.0ms (0.8%)

Memory

16.8MiB live, 213.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (11.1%)

Memory

15.5MiB live, 2 383.0MiB allocated

Samples

437.0ms	5 511×	0	valid
255.0ms	1 206×	2	valid
253.0ms	1 356×	1	valid
75.0ms	1 053×	0	invalid
69.0ms	183×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 808.0ms

ival-mult: 221.0ms (27.4% of total)

ival-sqrt: 146.0ms (18.1% of total)

ival-div: 135.0ms (16.7% of total)

ival-sub: 129.0ms (16% of total)

ival-neg: 110.0ms (13.6% of total)

adjust: 55.0ms (6.8% of total)

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

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess127.0ms (0.9%)

Memory

13.3MiB live, 120.6MiB allocated

Algorithm

2×	egg-herbie

Rules

890×	`div-sub`
836×	`times-frac`
416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
398×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	151	131
2	364	126
3	1109	126
4	2541	126
5	3374	126
6	3431	126
7	3561	126
8	3661	126
9	3661	126
10	3661	126
0	10	13
1	25	13
2	52	13
3	114	13
4	193	13
5	346	13
6	582	13
7	689	13
8	752	13
9	768	13
10	769	13
0	769	13

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

Call 2

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

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

explain162.0ms (1.2%)

Memory

5.8MiB live, 378.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
108	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
63	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	1	(-1.40224217054421e-78 -1.932127983128804e+297 -4.6923257003519826e+60)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
4	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	96	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	96
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	63	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	12	0
↳	`(*.f64 b_2 b_2)`	underflow	46
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	12
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	12	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	18
↳	`(*.f64 b_2 b_2)`	underflow	46
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	12
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	4	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17

Confusion

	Predicted +	Predicted -
+	125	0
-	25	106

Precision

0.8333333333333334

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	25	0	106

Precision?

0.8333333333333334

Recall?

1.0

Freqs

test

number	freq
0	106
1	116
2	31
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	354×	0	valid
17.0ms	72×	2	valid
12.0ms	80×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

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

ival-mult: 10.0ms (28.1% of total)

ival-sub: 8.0ms (22.5% of total)

ival-sqrt: 6.0ms (16.9% of total)

ival-div: 5.0ms (14% of total)

adjust: 3.0ms (8.4% of total)

ival-neg: 3.0ms (8.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify40.0ms (0.3%)

Memory

-3.2MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize61.0ms (0.5%)

Memory

-3.3MiB live, 115.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	77.9%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

31.0ms	177×	0	valid
8.0ms	36×	2	valid
6.0ms	40×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 4.0ms (23.9% of total)

ival-sub: 3.0ms (17.9% of total)

ival-div: 3.0ms (17.9% of total)

ival-sqrt: 3.0ms (17.9% of total)

ival-neg: 2.0ms (12% of total)

adjust: 1.0ms (6% of total)

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

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

series21.0ms (0.2%)

Memory

7.9MiB live, 45.8MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite358.0ms (2.7%)

Memory

45.3MiB live, 761.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 618×	`accelerator-lowering-fma.f32`
4 618×	`accelerator-lowering-fma.f64`
3 760×	`-lowering-.f32`
3 760×	`-lowering-.f64`
2 318×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	61	39
2	496	37
3	6592	37
0	8415	37

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 410

Calls

Call 1

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

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

simplify430.0ms (3.2%)

Memory

-7.2MiB live, 687.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 494×	`accelerator-lowering-fma.f32`
8 494×	`accelerator-lowering-fma.f64`
6 878×	`-lowering-.f32`
6 878×	`-lowering-.f64`
2 476×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3081
1	1657	3043
2	5513	3021
0	8289	2889

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval100.0ms (0.7%)

Memory: -80.4MiB live, 130.4MiB allocated
Compiler: Compiled 20 276 to 1 989 computations (90.2% saved)

prune127.0ms (0.9%)

Memory

1.5MiB live, 199.4MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	535	19	554
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	535	20	555

Accuracy

92.8%

Counts

555 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
	35.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	44.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	53.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	8.7%	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
▶	8.9%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2))))) a)
✓	53.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	35.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
	28.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	29.5%	(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 c (.f64 c a))) (.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
	37.3%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)) a)
	25.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	36.1%	(/.f64 (.f64 b_2 (+.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2)))) a)
	37.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	53.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	37.7%	(+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
▶	35.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
▶	37.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	36.7%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))

Compiler

Compiled 644 to 412 computations (36% saved)

simplify271.0ms (2%)

Memory

2.0MiB live, 478.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)))
✓	cost-diff	256	(.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2))))
✓	cost-diff	256	(/.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2))))) a)
✓	cost-diff	384	(-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2)))))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	cost-diff	0	(+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))

Rules

8 374×	`accelerator-lowering-fma.f32`
8 374×	`accelerator-lowering-fma.f64`
2 984×	`-lowering-.f32`
2 984×	`-lowering-.f64`
2 170×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	241
1	76	237
2	214	230
3	696	218
4	3600	212
5	7108	212
0	8012	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize229.0ms (1.7%)

Memory

36.9MiB live, 307.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	76.3%	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	93.1%	(.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2))))
✓	accuracy	86.6%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2))))) a)
✓	accuracy	82.6%	(/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))
✓	accuracy	54.2%	(-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2)))))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	100.0%	(+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
✓	accuracy	100.0%	(*.f64 c #s(literal 1/2 binary64))
✓	accuracy	99.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.3%	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	accuracy	77.9%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

85.0ms	76×	2	valid
45.0ms	87×	0	valid
33.0ms	79×	1	valid
10.0ms	14×	3	valid

Compiler

Compiled 243 to 31 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 30.0ms (31.6% of total)

ival-mult: 23.0ms (24.2% of total)

ival-div: 20.0ms (21% of total)

adjust: 8.0ms (8.4% of total)

ival-sub: 7.0ms (7.4% of total)

ival-sqrt: 4.0ms (4.2% of total)

ival-neg: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series68.0ms (0.5%)

Memory

-13.9MiB live, 102.6MiB allocated

Counts

18 → 552

Calls

Call 1

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

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<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 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* -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)>
#<alt (* 2 (/ b_2 c))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))))>
#<alt (* -1 (* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))>
#<alt (+ (* 1/2 (/ a b_2)) (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))>
#<alt (+ (* 1/2 (/ a b_2)) (* c (- (* c (- (* -1 (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7)))))) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) a))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (+ 1 (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* 2 b_2)>
#<alt (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2))>
#<alt (* -1 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))>
#<alt (* 2 b_2)>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* 2 b_2)>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (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 (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
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#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
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#<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 (/ 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 (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
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#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (+ b_2 (* -1 b_2)))>
#<alt (- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))>
#<alt (- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))>
#<alt (- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))>
#<alt (* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))>
#<alt (* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))>
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#<alt (* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))>
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#<alt (* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))>
#<alt (* -1 (+ b_2 (* -1 b_2)))>
#<alt (- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))>
#<alt (- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))>
#<alt (- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))>
#<alt (* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))>
#<alt (* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))>
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#<alt (* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))>
#<alt (* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))>
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#<alt (* -1/2 (/ c b_2))>
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#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ b_2 (* -1 b_2)) a))>
#<alt (/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)>
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#<alt (/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
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#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (* -1 (/ (+ b_2 (* -1 b_2)) a))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))>
#<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))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 b_2)>
#<alt (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))>
#<alt (* -1 b_2)>
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#<alt (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))>
#<alt -1>
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#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt -1>
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#<alt (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c)))>
#<alt (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c)))>
#<alt (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c))))>
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#<alt (* -1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c))))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) (pow b_2 2))>
#<alt (/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) (pow b_2 2))>
#<alt (/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) (pow b_2 2))>
#<alt -1>
#<alt (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)>
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#<alt (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)>
#<alt -1>
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#<alt (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)>
#<alt (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)>
#<alt (* 1/2 (/ c b_2))>
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#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* 1/16 (/ (pow c 3) (pow b_2 5))) (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 a))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
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#<alt (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)>
#<alt (* 2 (/ b_2 a))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* 1/8 (/ a (pow b_2 3))) (* c (+ (* 1/16 (/ (pow a 2) (pow b_2 5))) (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 (* a c))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)>
#<alt (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)>
#<alt (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* 2 b_2)>
#<alt (* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))>
#<alt (* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))>
#<alt (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))>
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (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)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2))))>
#<alt (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (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)))) (/ b_2 c)) (+ (* 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 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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 (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(/ (- (neg b_2) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) a)
3.0ms	b_2	@	-inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms	c	@	inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms	c	@	0	(- (neg b_2) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))))
2.0ms	a	@	-inf	(* (/ 1 a) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))

rewrite402.0ms (3%)

Memory

20.7MiB live, 889.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 876×	`-lowering-.f32`
4 876×	`-lowering-.f64`
4 748×	`/-lowering-/.f32`
4 748×	`/-lowering-/.f64`
3 544×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	172
1	185	167
2	1768	160
0	8456	155

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 763

Calls

Call 1

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

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

simplify698.0ms (5.2%)

Memory

9.5MiB live, 1 052.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 100×	`accelerator-lowering-fma.f32`
11 100×	`accelerator-lowering-fma.f64`
7 990×	`-lowering-.f32`
7 990×	`-lowering-.f64`
5 280×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1006	8567
1	3262	8209
0	9025	7878

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

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

eval256.0ms (1.9%)

Memory: 22.7MiB live, 479.6MiB allocated
Compiler: Compiled 39 257 to 4 165 computations (89.4% saved)

prune242.0ms (1.8%)

Memory

-21.4MiB live, 560.8MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1 524	24	1 548
Fresh	4	10	14
Picked	3	2	5
Done	0	1	1
Total	1 531	37	1 568

Accuracy

92.9%

Counts

1 568 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	35.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	0.6%	(/.f64 (-.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 a a))) (/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))))) (.f64 a (.f64 a a)))) (+.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (+.f64 (.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) a) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) a)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) a)))))
	44.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
▶	53.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	9.2%	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) b_2)) a)
	9.3%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (.f64 (*.f64 (/.f64 a b_2) c) (/.f64 #s(literal 1/2 binary64) b_2))))) a)
✓	53.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	35.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
	28.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	24.7%	(/.f64 (+.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 a #s(literal -2 binary64))) (.f64 b_2 b_2)) (.f64 b_2 (/.f64 a #s(literal -2 binary64))))
	20.8%	(/.f64 (+.f64 (.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) a) (.f64 a (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	37.3%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)) a)
	25.4%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	25.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
▶	26.5%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2)) a)
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	36.1%	(/.f64 (.f64 b_2 (+.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2)))) a)
	2.6%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
	37.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	8.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	15.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) (-.f64 (.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 b_2 (/.f64 a #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 b_2)))))
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
▶	8.7%	(/.f64 #s(literal 0 binary64) a)
	32.9%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
✓	53.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	35.4%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
▶	32.4%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	37.7%	(+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
	20.1%	(+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (exp.f64 (.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
	8.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
	2.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 #s(literal 2 binary64)))
	2.2%	(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
✓	37.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	36.7%	(.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 b_2 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))

Compiler

Compiled 1 353 to 781 computations (42.3% saved)

simplify185.0ms (1.4%)

Memory

-2.3MiB live, 312.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 650×	`accelerator-lowering-fma.f32`
3 650×	`accelerator-lowering-fma.f64`
3 500×	`-lowering-.f32`
3 500×	`-lowering-.f64`
2 322×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	213
1	81	213
2	189	210
3	460	205
4	997	205
5	2084	201
6	4205	201
7	6984	201
0	8312	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize197.0ms (1.5%)

Memory

1.8MiB live, 244.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))
✓	accuracy	99.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
✓	accuracy	85.5%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
✓	accuracy	92.9%	(.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	88.4%	(/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 a b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	94.3%	(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2))
✓	accuracy	89.3%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2)) a)
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) a)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	95.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	accuracy	89.5%	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	accuracy	75.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Samples

49.0ms	78×	0	invalid
32.0ms	134×	0	valid
13.0ms	21×	2	valid
8.0ms	20×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 224 to 37 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 20.0ms (40.7% of total)

ival-mult: 11.0ms (22.4% of total)

ival-sub: 6.0ms (12.2% of total)

ival-sqrt: 4.0ms (8.1% of total)

adjust: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

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

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

series45.0ms (0.3%)

Memory

11.4MiB live, 85.1MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

141 calls:

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

rewrite427.0ms (3.2%)

Memory

-32.2MiB live, 499.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 362×	`accelerator-lowering-fma.f32`
5 362×	`accelerator-lowering-fma.f64`
4 002×	`/-lowering-/.f32`
4 002×	`/-lowering-/.f64`
3 522×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	163
1	225	149
2	2221	143
0	8903	132

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 200

Calls

Call 1

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

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

simplify536.0ms (4%)

Memory

23.1MiB live, 656.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 828×	`accelerator-lowering-fma.f32`
8 828×	`accelerator-lowering-fma.f64`
7 704×	`-lowering-.f32`
7 704×	`-lowering-.f64`
4 578×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1049	8395
1	3317	8279
0	8523	7919

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* (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 (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (* a (* c (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow c 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1)))))))))
(/ 1 b_2)
(/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2)
(/ -1 b_2)
(* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2))
(/ 1 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))))) (* 1/2 (/ c (pow b_2 3))))) (/ 1 b_2))
(+ (* a (+ (* 1/2 (/ c (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 3) (pow b_2 8))) (* -1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6)))))))))) (/ 1 b_2))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow b_2 4)) (* (pow c 3) (pow (sqrt -1) 2)))) (/ (pow b_2 6) (pow c 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow c 5))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow b_2 4)) (pow c 3))) (/ (pow b_2 6) (pow c 4))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(/ 1 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* c (+ (* -1/2 (* b_2 (* c (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6))))))) (* 1/2 (/ a (pow b_2 3))))) (/ 1 b_2))
(+ (* c (+ (* 1/2 (/ a (pow b_2 3))) (* c (+ (* -1/2 (* b_2 (* c (+ (* -1 (/ (pow a 3) (pow b_2 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6)))))))))) (/ 1 b_2))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
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(* (sqrt (/ 1 (* a c))) (sqrt -1))
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0
0
0
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0
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(/ (+ (* -1/2 a) (* 2 (/ (pow b_2 2) c))) b_2)
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(/ (- (+ (* 2 b_2) (* 128 (/ (pow b_2 7) (* (pow a 3) (pow c 3))))) (+ (* -32 (/ (pow b_2 5) (* (pow a 2) (pow c 2)))) (* -8 (/ (pow b_2 3) (* a c))))) a)
(* 2 (/ b_2 a))
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(* -1 (/ (+ (* -2 b_2) (* -1 (/ (- (* -1 (/ (- (* -128 (/ (pow b_2 7) (* a (pow c 3)))) (* 32 (/ (pow b_2 5) (pow c 2)))) a)) (* -8 (/ (pow b_2 3) c))) a))) a))
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(* b_2 (+ (* (pow b_2 2) (+ (* 32 (/ (pow b_2 2) (* (pow a 3) (pow c 2)))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))
(* b_2 (+ (* (pow b_2 2) (+ (* (pow b_2 2) (+ (* 128 (/ (pow b_2 2) (* (pow a 4) (pow c 3)))) (* 32 (/ 1 (* (pow a 3) (pow c 2)))))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
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(/ (- (+ (* -1/2 c) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))) (+ (* 1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))))) b_2)
(* -1/2 (/ c b_2))
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(* -1 (/ (+ (* 1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
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(/ (+ 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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)

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

eval261.0ms (1.9%)

Memory: 31.2MiB live, 401.9MiB allocated
Compiler: Compiled 41 067 to 5 369 computations (86.9% saved)

prune332.0ms (2.5%)

Memory

-2.1MiB live, 406.9MiB allocated

Pruning

53 alts after pruning (50 fresh and 3 done)

	Pruned	Kept	Total
New	1 805	35	1 840
Fresh	14	15	29
Picked	5	0	5
Done	0	3	3
Total	1 824	53	1 877

Accuracy

99.8%

Counts

1 877 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	25.7%	(/.f64 (/.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1/2 binary64)))) a)
▶	8.7%	(/.f64 (/.f64 (neg.f64 (/.f64 c #s(literal -2 binary64))) (/.f64 b_2 a)) a)
	32.0%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)))
	8.6%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))) b_2)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	34.4%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
	15.7%	(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
	25.7%	(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))) a)
	9.3%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (.f64 (*.f64 (/.f64 a b_2) c) (/.f64 #s(literal 1/2 binary64) b_2))))) a)
✓	53.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	35.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
	24.7%	(/.f64 (+.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 a #s(literal -2 binary64))) (.f64 b_2 b_2)) (.f64 b_2 (/.f64 a #s(literal -2 binary64))))
	20.8%	(/.f64 (+.f64 (.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) a) (.f64 a (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	26.2%	(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) a)
	25.7%	(/.f64 (.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)) #s(literal 1/2 binary64))))
	2.7%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (.f64 b_2 b_2))) a)
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	36.1%	(/.f64 (.f64 b_2 (+.f64 (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) (.f64 b_2 b_2)) #s(literal -2 binary64))) a)
	2.6%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
	37.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	8.5%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b_2)) a)
	8.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	32.0%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
	3.0%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 b_2 b_2) #s(literal -2 binary64))) b_2) (.f64 (*.f64 b_2 b_2) c)))
	32.9%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
	2.6%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
✓	53.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	35.4%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
	33.5%	(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c)))
▶	29.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
	3.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 b_2 b_2) #s(literal -2 binary64))) (.f64 b_2 b_2)) (/.f64 b_2 c)))
	33.3%	(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) b_2) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	32.0%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 b_2 a)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (/.f64 b_2 (*.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.5%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b_2 a) b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	8.6%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)) b_2))
	37.7%	(+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
	3.2%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (.f64 b_2 (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 c c)))) (.f64 b_2 b_2)) (/.f64 (-.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)) (/.f64 #s(literal 1 binary64) b_2)))
	20.9%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (.f64 b_2 (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 c c)))) #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)) b_2))
	8.6%	(.f64 (/.f64 (.f64 (/.f64 a b_2) c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
	8.6%	(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) a))
▶	8.6%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
	2.2%	(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
	28.3%	(.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a)))
✓	37.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	21.1%	(.f64 b_2 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
	8.6%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c (/.f64 a b_2)) a))
▶	8.7%	#s(literal 0 binary64)

Compiler

Compiled 1 777 to 1 215 computations (31.6% saved)

simplify216.0ms (1.6%)

Memory

-13.8MiB live, 255.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (*.f64 b_2 #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (.f64 b_2 c))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
✓	cost-diff	384	(.f64 (/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	0	(+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b_2)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))))
✓	cost-diff	0	(/.f64 c #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (neg.f64 (/.f64 c #s(literal -2 binary64))) (/.f64 b_2 a))
✓	cost-diff	64	(neg.f64 (/.f64 c #s(literal -2 binary64)))
✓	cost-diff	256	(/.f64 (/.f64 (neg.f64 (/.f64 c #s(literal -2 binary64))) (/.f64 b_2 a)) a)
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	6528	(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Rules

3 122×	`/-lowering-/.f32`
3 122×	`/-lowering-/.f64`
2 878×	`-lowering-.f32`
2 878×	`-lowering-.f64`
2 846×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	244
1	92	241
2	232	237
3	644	225
4	1786	224
5	4566	224
0	8315	217

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize164.0ms (1.2%)

Memory

-9.7MiB live, 237.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
✓	accuracy	92.8%	(.f64 (/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	89.4%	(/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a))
✓	accuracy	80.2%	(/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 b_2 a)) (.f64 b_2 #s(literal -2 binary64))) (.f64 b_2 c))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)))
✓	accuracy	99.1%	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	accuracy	93.0%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))))
✓	accuracy	82.7%	(.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(neg.f64 (/.f64 c #s(literal -2 binary64)))
✓	accuracy	89.4%	(/.f64 (neg.f64 (/.f64 c #s(literal -2 binary64))) (/.f64 b_2 a))
✓	accuracy	86.6%	(/.f64 (/.f64 (neg.f64 (/.f64 c #s(literal -2 binary64))) (/.f64 b_2 a)) a)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	70.3%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

45.0ms	177×	0	valid
34.0ms	43×	1	valid
23.0ms	36×	2	valid

Compiler

Compiled 255 to 38 computations (85.1% saved)

Precisions

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

ival-div: 37.0ms (50.6% of total)

ival-mult: 18.0ms (24.6% of total)

ival-add: 5.0ms (6.8% of total)

ival-sub: 3.0ms (4.1% of total)

adjust: 3.0ms (4.1% of total)

ival-sqrt: 3.0ms (4.1% of total)

ival-neg: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

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

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

series50.0ms (0.4%)

Memory

16.8MiB live, 54.9MiB allocated

Counts

21 → 612

Calls

Call 1

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

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
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#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
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#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
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#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (/ -1 a)>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))>
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#<alt (/ b_2 a)>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
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#<alt (* 1/2 c)>
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#<alt (* -1/2 c)>
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#<alt (* 1/2 (/ c b_2))>
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#<alt (* 1/2 (/ c b_2))>
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#<alt (* -1 (/ (- (+ (* -1/2 c) (* 1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2))>
#<alt (* 1/2 (/ c b_2))>
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#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 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 (/ 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 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (* -1/2 (/ a (pow b_2 2)))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>

Calls

153 calls:

Time	Variable		Point	Expression
11.0ms	c	@	-inf	(* (/ -1 a) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms	c	@	inf	(/ -1 (+ (* a (/ -1/2 (* b_2 b_2))) (/ -2 c)))
3.0ms	a	@	0	(* (/ (+ (/ (/ c -2) (/ b_2 a)) (* b_2 -2)) (* b_2 c)) (- 0 b_2))
1.0ms	b_2	@	inf	(* (/ 1 b_2) (/ -1 (+ (* a (/ -1/2 (* b_2 b_2))) (/ -2 c))))
1.0ms	b_2	@	0	(* (/ 1 b_2) (/ -1 (+ (* a (/ -1/2 (* b_2 b_2))) (/ -2 c))))

rewrite430.0ms (3.2%)

Memory

7.9MiB live, 538.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 304×	`-lowering-.f32`
5 304×	`-lowering-.f64`
4 816×	`/-lowering-/.f32`
4 816×	`/-lowering-/.f64`
2 898×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	194
1	225	192
2	2113	192
0	8636	185

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 969

Calls

Call 1

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

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

simplify663.0ms (4.9%)

Memory

-4.5MiB live, 826.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 758×	`accelerator-lowering-fma.f32`
11 758×	`accelerator-lowering-fma.f64`
8 030×	`-lowering-.f32`
8 030×	`-lowering-.f64`
3 964×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	929	8554
1	2918	8478
0	8483	8117

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

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

eval328.0ms (2.4%)

Memory: 10.0MiB live, 437.2MiB allocated
Compiler: Compiled 39 946 to 5 004 computations (87.5% saved)

prune306.0ms (2.3%)

Memory

-20.0MiB live, 710.7MiB allocated

Pruning

67 alts after pruning (63 fresh and 4 done)

	Pruned	Kept	Total
New	1 672	26	1 698
Fresh	8	37	45
Picked	4	1	5
Done	0	3	3
Total	1 684	67	1 751

Accuracy

99.8%

Counts

1 751 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
	8.7%	(/.f64 (/.f64 (/.f64 c #s(literal 2 binary64)) (/.f64 b_2 a)) a)
	8.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) c)) (/.f64 b_2 a)) a)
	4.1%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (.f64 (/.f64 b_2 a) (/.f64 c #s(literal -2 binary64)))) (/.f64 (.f64 b_2 b_2) (.f64 a a))) a)
	25.7%	(/.f64 (/.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1/2 binary64)))) a)
	29.3%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (+.f64 (/.f64 (.f64 (/.f64 c #s(literal -2 binary64)) a) b_2) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)))
	32.0%	(/.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)))
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	34.4%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
	15.7%	(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
	25.7%	(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))) a)
	9.3%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal -1 binary64) (.f64 (*.f64 (/.f64 a b_2) c) (/.f64 #s(literal 1/2 binary64) b_2))))) a)
✓	53.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	35.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
	28.6%	(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (/.f64 a b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 (/.f64 a b_2) a))
	24.7%	(/.f64 (+.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 a #s(literal -2 binary64))) (.f64 b_2 b_2)) (.f64 b_2 (/.f64 a #s(literal -2 binary64))))
	20.8%	(/.f64 (+.f64 (.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) a) (.f64 a (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	26.2%	(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) a)
	25.7%	(/.f64 (.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)) #s(literal 1/2 binary64))))
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	36.1%	(/.f64 (.f64 b_2 (+.f64 (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) (.f64 b_2 b_2)) #s(literal -2 binary64))) a)
	2.6%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
	37.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	8.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 a (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) c)))))
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	8.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 b_2 (.f64 (/.f64 c #s(literal 2 binary64)) a)) a))
	20.7%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (/.f64 c #s(literal -2 binary64)) a) b_2) (*.f64 b_2 #s(literal -2 binary64))) b_2)) c) b_2))
	32.0%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
	31.8%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)) c))
	3.0%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 b_2 b_2) #s(literal -2 binary64))) b_2) (.f64 (*.f64 b_2 b_2) c)))
	32.9%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
	2.6%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
✓	53.8%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	35.4%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
	33.4%	(/.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)))
	33.5%	(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c)))
	28.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) (.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
	24.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2)) (.f64 (-.f64 #s(literal 0 binary64) a) b_2))) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
	29.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 #s(literal -2 binary64))) a) (.f64 b_2 #s(literal -2 binary64))) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
	22.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (-.f64 (/.f64 (/.f64 (.f64 (/.f64 c #s(literal -2 binary64)) a) b_2) (/.f64 b_2 (.f64 (/.f64 c #s(literal -2 binary64)) a))) (.f64 (.f64 b_2 b_2) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b_2) c)) (+.f64 (/.f64 (.f64 (/.f64 c #s(literal -2 binary64)) a) b_2) (.f64 #s(literal 2 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2)))
	29.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) (*.f64 b_2 c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) b_2) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 b_2 a)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (/.f64 b_2 (*.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.5%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b_2 a) b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	33.3%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	8.6%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)) b_2))
	25.7%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)))
	37.8%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
	3.2%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (.f64 b_2 (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 c c)))) (.f64 b_2 b_2)) (/.f64 (-.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)) (/.f64 #s(literal 1 binary64) b_2)))
	20.9%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (.f64 b_2 (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 c c)))) #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)) b_2))
	8.6%	(*.f64 (/.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 a b_2) a))
	8.6%	(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) a))
	2.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 b_2 b_2)) a))
	1.2%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (/.f64 #s(literal -8 binary64) (.f64 c (.f64 c c)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 c c)) (/.f64 (-.f64 (.f64 (/.f64 a (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64))) (.f64 a #s(literal -1/2 binary64))) (.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) c))) (.f64 b_2 b_2))))))
	8.6%	(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) c)))
	8.6%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal -2 binary64) c))))
	8.6%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 #s(literal -2 binary64) c))))
	2.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2)))))
	8.6%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 #s(literal 1/2 binary64) c))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
	2.2%	(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
	28.3%	(.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) a)))
✓	37.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	21.1%	(.f64 b_2 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
✓	8.7%	#s(literal 0 binary64)

Compiler

Compiled 2 978 to 1 284 computations (56.9% saved)

regimes210.0ms (1.6%)

Memory

18.6MiB live, 288.4MiB allocated

Counts

105 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

56.0ms	a
51.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
47.0ms	b_2
41.0ms	c

Results

Accuracy	Segments	Branch
56.3%	2	`a`
88.2%	3	`b_2`
55.7%	2	`c`
76.7%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes40.0ms (0.3%)

Memory

-12.8MiB live, 104.6MiB allocated

Counts

86 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

28.0ms

b_2

Results

Accuracy	Segments	Branch
84.5%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes76.0ms (0.6%)

Memory

1.2MiB live, 109.4MiB allocated

Counts

81 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

b_2

Results

Accuracy	Segments	Branch
68.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Memory

-6.9MiB live, 32.3MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

b_2

Results

Accuracy	Segments	Branch
68.5%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-1.8MiB live, 37.6MiB allocated

Counts

29 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
68.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-14.1MiB live, 25.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

b_2

Results

Accuracy	Segments	Branch
68.2%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

29.7MiB live, 29.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a
3.0ms	c
3.0ms	b_2

Results

Accuracy	Segments	Branch
37.8%	1	`c`
37.8%	1	`a`
43.7%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

-31.9MiB live, 8.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
43.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

3 calls:

2.0ms	b_2
1.0ms	a
1.0ms	c

Results

Accuracy	Segments	Branch
8.7%	1	`c`
8.7%	1	`a`
8.7%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.3%)

Memory

1.1MiB live, 118.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.998011302022712e+118	1.169036098912842e+120
30.0ms	-5.312392908787947e-33	-4.835809024919477e-52

Samples

13.0ms	193×	0	valid
8.0ms	43×	2	valid
5.0ms	58×	0	invalid
4.0ms	36×	1	valid

Compiler

Compiled 541 to 382 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (29.5% of total)

ival-sub: 4.0ms (19.6% of total)

ival-div: 3.0ms (14.7% of total)

ival-neg: 3.0ms (14.7% of total)

ival-sqrt: 3.0ms (14.7% of total)

adjust: 1.0ms (4.9% of total)

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

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

bsearch53.0ms (0.4%)

Memory

-8.3MiB live, 146.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.686323943979855e-53	1.9149254001373072e-48
30.0ms	-5.312392908787947e-33	-4.835809024919477e-52

Samples

17.0ms	212×	0	valid
7.0ms	67×	0	invalid
6.0ms	35×	2	valid
5.0ms	41×	1	valid

Compiler

Compiled 561 to 414 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 6.0ms (24.5% of total)

ival-mult: 6.0ms (24.5% of total)

ival-sqrt: 5.0ms (20.4% of total)

ival-div: 3.0ms (12.3% of total)

ival-neg: 2.0ms (8.2% of total)

adjust: 1.0ms (4.1% of total)

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

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

bsearch66.0ms (0.5%)

Memory

13.7MiB live, 52.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

45.0ms	64×	0	invalid
11.0ms	176×	0	valid

Compiler

Compiled 371 to 280 computations (24.5% saved)

Precisions

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

ival-mult: 3.0ms (31.9% of total)

ival-sub: 2.0ms (21.3% of total)

ival-div: 2.0ms (21.3% of total)

ival-sqrt: 2.0ms (21.3% of total)

ival-neg: 1.0ms (10.6% of total)

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

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

bsearch54.0ms (0.4%)

Memory

14.1MiB live, 49.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

40.0ms	176×	0	valid
4.0ms	69×	0	invalid

Compiler

Compiled 283 to 214 computations (24.4% saved)

Precisions

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

ival-mult: 3.0ms (31.1% of total)

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

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

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

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

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

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

bsearch56.0ms (0.4%)

Memory

-11.1MiB live, 58.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

11.0ms	176×	0	valid
6.0ms	89×	0	invalid

Compiler

Compiled 283 to 214 computations (24.4% saved)

Precisions

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

ival-mult: 3.0ms (29.4% of total)

ival-sub: 2.0ms (19.6% of total)

ival-div: 2.0ms (19.6% of total)

ival-sqrt: 2.0ms (19.6% of total)

ival-neg: 1.0ms (9.8% of total)

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

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

bsearch60.0ms (0.4%)

Memory

6.7MiB live, 58.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

43.0ms	176×	0	valid
7.0ms	100×	0	invalid

Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 33.0ms (78.2% of total)

ival-mult: 3.0ms (7.1% of total)

ival-sub: 2.0ms (4.7% of total)

ival-sqrt: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-13.5MiB live, 25.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-6.898595140317765e-224	-3.8964932984251935e-224

Samples

5.0ms	58×	0	valid
1.0ms	15×	0	invalid
1.0ms	6×	1	valid

Compiler

Compiled 75 to 64 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.5% of total)

ival-div: 1.0ms (21.8% of total)

ival-sub: 1.0ms (21.8% of total)

ival-sqrt: 1.0ms (21.8% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch13.0ms (0.1%)

Memory

-7.1MiB live, 31.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-6.898595140317765e-224	-3.8964932984251935e-224

Samples

4.0ms	60×	0	valid
3.0ms	44×	0	invalid
1.0ms	4×	1	valid

Compiler

Compiled 75 to 64 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (22.6% of total)

ival-mult: 1.0ms (22.6% of total)

ival-sub: 1.0ms (22.6% of total)

ival-sqrt: 1.0ms (22.6% of total)

ival-neg: 1.0ms (22.6% of total)

adjust: 0.0ms (0% of total)

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

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

simplify13.0ms (0.1%)

Memory

37.4MiB live, 37.4MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
36×	`+-commutative_binary64`
26×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	184
1	88	184
2	111	184
3	135	184
4	149	184
5	155	184
6	157	184

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -822752278660603/25711008708143844408671393477458601640355247900524685364822016 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (if (<=.f64 b_2 #s(literal 1019999999999999968136044634391727647248076820244513984569596332225982244232033103039470843186168248199778831134070145024 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -8838159243424447/803469022129495137770981046170581301261101496891396417650688 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (if (<=.f64 b_2 #s(literal 822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))) a) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4167509020549909/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(literal 0 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4167509020549909/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(literal 0 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -822752278660603/25711008708143844408671393477458601640355247900524685364822016 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (if (<=.f64 b_2 #s(literal 1019999999999999968136044634391727647248076820244513984569596332225982244232033103039470843186168248199778831134070145024 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -822752278660603/25711008708143844408671393477458601640355247900524685364822016 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (if (<=.f64 b_2 #s(literal 1019999999999999968136044634391727647248076820244513984569596332225982244232033103039470843186168248199778831134070145024 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -8838159243424447/803469022129495137770981046170581301261101496891396417650688 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (if (<=.f64 b_2 #s(literal 822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))) a) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))))
(if (<=.f64 b_2 #s(literal -8838159243424447/803469022129495137770981046170581301261101496891396417650688 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (if (<=.f64 b_2 #s(literal 822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))) a) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal 2 binary64)) c))) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (+.f64 (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4167509020549909/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(literal 0 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4167509020549909/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(literal 0 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(literal 0 binary64)

soundness3.2s (24.1%)

Memory

2.9MiB live, 4 784.0MiB allocated

Rules

11 758×	`accelerator-lowering-fma.f32`
11 758×	`accelerator-lowering-fma.f64`
11 100×	`accelerator-lowering-fma.f32`
11 100×	`accelerator-lowering-fma.f64`
8 828×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	163
1	225	149
2	2221	143
0	8903	132
0	929	8554
1	2918	8478
0	8483	8117
0	1006	8567
1	3262	8209
0	9025	7878
0	10	39
1	61	39
2	496	37
3	6592	37
0	8415	37
0	528	3081
1	1657	3043
2	5513	3021
0	8289	2889
0	29	172
1	185	167
2	1768	160
0	8456	155
0	1049	8395
1	3317	8279
0	8523	7919

Stop Event

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

Compiler

Compiled 604 to 354 computations (41.4% saved)

preprocess98.0ms (0.7%)

Memory: -7.7MiB live, 108.3MiB allocated
Compiler: Compiled 596 to 192 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50

analyze108.0ms (0.8%)

sample1.5s (11.1%)

preprocess127.0ms (0.9%)

explain162.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.3%)

localize61.0ms (0.5%)

series21.0ms (0.2%)

rewrite358.0ms (2.7%)

simplify430.0ms (3.2%)

eval100.0ms (0.7%)

prune127.0ms (0.9%)

simplify271.0ms (2%)

localize229.0ms (1.7%)

series68.0ms (0.5%)

rewrite402.0ms (3%)

simplify698.0ms (5.2%)

eval256.0ms (1.9%)

prune242.0ms (1.8%)

simplify185.0ms (1.4%)

localize197.0ms (1.5%)

series45.0ms (0.3%)

rewrite427.0ms (3.2%)

simplify536.0ms (4%)

eval261.0ms (1.9%)

prune332.0ms (2.5%)

simplify216.0ms (1.6%)

localize164.0ms (1.2%)

series50.0ms (0.4%)

rewrite430.0ms (3.2%)

simplify663.0ms (4.9%)

eval328.0ms (2.4%)

prune306.0ms (2.3%)

regimes210.0ms (1.6%)

regimes40.0ms (0.3%)

regimes76.0ms (0.6%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

bsearch46.0ms (0.3%)

bsearch53.0ms (0.4%)

bsearch66.0ms (0.5%)

bsearch54.0ms (0.4%)

bsearch56.0ms (0.4%)

bsearch60.0ms (0.4%)

bsearch10.0ms (0.1%)

bsearch13.0ms (0.1%)

simplify13.0ms (0.1%)

soundness3.2s (24.1%)

preprocess98.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50