Metrics for Quadratic roots, full range

analyze149.0ms (1.4%)

Memory

-35.3MiB live, 251.9MiB 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
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (19.7%)

Memory

-255.9MiB live, 3 002.5MiB allocated

Samples

926.0ms	5 559×	0	valid
264.0ms	1 302×	1	valid
257.0ms	1 165×	2	valid
82.0ms	961×	0	invalid
52.0ms	169×	3	valid
34.0ms	61×	4	valid
3.0ms	6×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 914.0ms

ival-mult: 333.0ms (36.4% of total)

ival-sqrt: 150.0ms (16.4% of total)

ival-div: 124.0ms (13.6% of total)

ival-add: 87.0ms (9.5% of total)

ival-neg: 79.0ms (8.6% of total)

ival-sub: 73.0ms (8% of total)

adjust: 46.0ms (5% of total)

exact: 10.0ms (1.1% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess158.0ms (1.5%)

Memory

2.7MiB live, 176.2MiB allocated

Algorithm

2×	egg-herbie

Rules

1 674×	`div-sub`
1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
1 048×	`sub-neg`
796×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	175
1	170	160
2	474	160
3	1250	160
4	3323	160
5	6278	160
0	14	17
1	31	16
2	68	16
3	151	16
4	231	16
5	372	16
6	654	16
7	1122	16
8	2225	16
9	2509	16
10	2626	16
11	2681	16
12	2682	16
13	2682	16
14	2688	16
0	2688	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

Outputs

(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

(fma.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))

Call 2

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))

Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b))
(/ (- (sqrt (+ (* a a) (* b (* c -4)))) a) (* b 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c))
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))
(/ (- (sqrt (+ (* c c) (* (* b a) -4))) c) (* a 2))

explain197.0ms (1.9%)

Memory

6.2MiB live, 359.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	1	(-9.428454539195115e-217 -3.894601925586503e-158 -2.056191814811865e-136)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
57	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
16	-	1	(7.236299830849641e-169 1.1783240839506654e+160 15816786079021378.0)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
5	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	103	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	103
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	25
↳	`(*.f64 b b)`	overflow	92
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	57	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	15	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	6
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	24
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	27
↳	`(*.f64 b b)`	underflow	41
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	6	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	6
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	27
↳	`(*.f64 b b)`	underflow	41
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	5	0
↳	`(*.f64 b b)`	overflow	92
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	25

Confusion

	Predicted +	Predicted -
+	130	1
-	14	111

Precision

0.9027777777777778

Recall

0.9923664122137404

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	1
-	14	0	111

Precision?

0.9027777777777778

Recall?

0.9923664122137404

Freqs

test

number	freq
0	112
1	105
2	36
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	352×	0	valid
19.0ms	80×	2	valid
11.0ms	64×	1	valid
4.0ms	12×	3	valid
1.0ms	4×	4	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 15.0ms (33.3% of total)

ival-div: 8.0ms (17.8% of total)

ival-sqrt: 6.0ms (13.3% of total)

ival-sub: 5.0ms (11.1% of total)

ival-neg: 4.0ms (8.9% of total)

ival-add: 4.0ms (8.9% of total)

adjust: 3.0ms (6.7% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify108.0ms (1%)

Memory

-1.5MiB live, 76.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	192	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	192	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))

Rules

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
744×	`-lowering-.f32`
744×	`-lowering-.f64`
434×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	31	68
2	68	68
3	151	68
4	231	68
5	372	68
6	654	68
7	1122	68
8	2225	68
9	2509	68
10	2626	68
11	2681	68
12	2682	68
13	2682	68
14	2688	68
0	2688	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
b
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
a
c
(* 2 a)
2

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

localize55.0ms (0.5%)

Memory

-0.1MiB live, 111.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	accuracy	94.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	79.2%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	60.1%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

19.0ms	176×	0	valid
9.0ms	40×	2	valid
5.0ms	32×	1	valid
2.0ms	6×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (31.6% of total)

ival-div: 3.0ms (13.5% of total)

ival-sqrt: 3.0ms (13.5% of total)

ival-add: 3.0ms (13.5% of total)

ival-sub: 2.0ms (9% of total)

ival-neg: 2.0ms (9% of total)

adjust: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

4.5MiB live, 52.8MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (- (* b b) (* (* 4 a) c))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>

Calls

36 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	c	@	-inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

rewrite360.0ms (3.4%)

Memory

4.7MiB live, 584.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 850×	`accelerator-lowering-fma.f32`
4 850×	`accelerator-lowering-fma.f64`
3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
2 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	67	47
2	527	47
3	6858	47
0	8152	43

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 412

Calls

Call 1

Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(- (* b b) (* (* 4 a) c))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(sqrt (- (* b b) (* (* 4 a) c)))

Outputs
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(+.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) b)
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(-.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c)))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64))))) b)
(fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
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(/.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))) (.f64 #s(literal 64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))))))))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) (+.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c))))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c))))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (fma.f64 b b #s(literal 0 binary64))))))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

simplify484.0ms (4.6%)

Memory

7.9MiB live, 706.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`
7 766×	`-lowering-.f64`
2 546×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3249
1	1738	3208
2	6083	3180
0	8243	3023

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 c #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (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))))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

eval117.0ms (1.1%)

Memory: 0.5MiB live, 189.2MiB allocated
Compiler: Compiled 22 296 to 1 987 computations (91.1% saved)

prune87.0ms (0.8%)

Memory

4.5MiB live, 239.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	543	13	556
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	544	13	557

Accuracy

93.8%

Counts

557 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	25.8%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	44.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶	36.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
	33.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	24.8%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	38.0%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
▶	32.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	32.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	50.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
▶	33.7%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶	51.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	27.7%	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))

Compiler

Compiled 476 to 294 computations (38.2% saved)

simplify252.0ms (2.4%)

Memory

-0.0MiB live, 547.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	192	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))))
✓	cost-diff	1408	(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	320	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	0	(*.f64 a #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓	cost-diff	1600	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 c b))
✓	cost-diff	0	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)

Rules

4 420×	`-lowering-.f32`
4 420×	`-lowering-.f64`
4 276×	`accelerator-lowering-fma.f32`
4 276×	`accelerator-lowering-fma.f64`
2 246×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	268
1	91	266
2	247	266
3	865	254
4	2578	254
5	3548	254
6	4756	254
7	6840	254
0	8400	240

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
-1/2
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
(- 0 (/ c b))
0
(/ c b)
c
b
(/ (* c (/ (* a -2) b)) (* 2 a))
(* c (/ (* a -2) b))
c
(/ (* a -2) b)
(* a -2)
a
-2
b
(* 2 a)
2
(/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
1/2
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
(/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))
(+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))
(neg b)
b
(sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))
(* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))
(* b b)
(+ (* (* a c) (/ -4 (* b b))) 1)
(* a c)
a
c
(/ -4 (* b b))
-4
1
(* 2 a)
2

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

localize257.0ms (2.5%)

Memory

8.2MiB live, 441.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.4%	(fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64))
✓	accuracy	84.7%	(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
✓	accuracy	79.2%	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))))
✓	accuracy	60.1%	(sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64))))
✓	accuracy	98.0%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	96.6%	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	accuracy	74.8%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	60.1%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	100.0%	(*.f64 a #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	91.8%	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
✓	accuracy	86.6%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
✓	accuracy	98.0%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	94.3%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	accuracy	79.2%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	60.1%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))

Samples

55.0ms	47×	3	valid
38.0ms	65×	2	valid
28.0ms	85×	0	valid
22.0ms	52×	1	valid
6.0ms	7×	4	valid

Compiler

Compiled 276 to 39 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 29.0ms (31.7% of total)

ival-div: 23.0ms (25.2% of total)

ival-add: 11.0ms (12% of total)

adjust: 10.0ms (10.9% of total)

ival-sqrt: 9.0ms (9.8% of total)

ival-sub: 7.0ms (7.7% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series61.0ms (0.6%)

Memory

16.9MiB live, 131.5MiB allocated

Counts

20 → 612

Calls

Call 1

Inputs
#<alt (/ -1/2 a)>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (- 0 (/ c b))>
#<alt (/ c b)>
#<alt (/ (* c (/ (* a -2) b)) (* 2 a))>
#<alt (/ (* a -2) b)>
#<alt (* a -2)>
#<alt (* 2 a)>
#<alt (/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))>
#<alt (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))>
#<alt (/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))>
#<alt (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))>
#<alt (* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (* c (/ (* a -2) b))>
#<alt (+ (* (* a c) (/ -4 (* b b))) 1)>

Outputs
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)>
#<alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))>
#<alt (* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<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 (* 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 (/ b a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ b a)>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (/ c b)>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (/ b a)>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
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#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>

Calls

153 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))
3.0ms	b	@	inf	(/ (* a -2) b)
3.0ms	c	@	-inf	(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
2.0ms	c	@	0	(+ (* b b) (* c (* a -4)))
1.0ms	a	@	inf	(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))

rewrite537.0ms (5.1%)

Memory

-40.4MiB live, 705.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`accelerator-lowering-fma.f32`
5 066×	`accelerator-lowering-fma.f64`
4 442×	`/-lowering-/.f32`
4 442×	`/-lowering-/.f64`
3 528×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	213
1	212	208
2	1783	201
0	8597	189

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 939

Calls

Call 1

Inputs
(/ -1/2 a)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(- 0 (/ c b))
(/ c b)
(/ (* c (/ (* a -2) b)) (* 2 a))
(/ (* a -2) b)
(* a -2)
(* 2 a)
(/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))
(+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))
(/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))
(sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(* c (/ (* a -2) b))
(+ (* (* a c) (/ -4 (* b b))) 1)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1/2 binary64))
(+.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))) b)
(+.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))) (neg.f64 (/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))) (/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))) (/.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(-.f64 (/.f64 (.f64 b b) (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))) (/.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(fma.f64 b #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))
(fma.f64 b (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(fma.f64 #s(literal 1 binary64) b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))))) (neg.f64 (/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c)))) b)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a c))))))
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(/.f64 (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (.f64 #s(literal -4 binary64) (.f64 a c))) (*.f64 b b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))))
(pow.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (*.f64 b b)))))
(.f64 (fma.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (.f64 #s(literal -4 binary64) (.f64 a c))) (.f64 b b)))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (*.f64 b b))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (*.f64 b b)))))

simplify688.0ms (6.6%)

Memory

51.8MiB live, 865.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 130×	`accelerator-lowering-fma.f32`
8 130×	`accelerator-lowering-fma.f64`
6 886×	`-lowering-.f32`
6 886×	`-lowering-.f64`
5 928×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1095	10612
1	3622	10353
0	8413	9909

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(/ b a)
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(/ c b)
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(/ b a)
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* 1/2 (/ a b))
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))
(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8))))))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))) a)))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))

Outputs
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(-.f64 b (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.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 b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 b b)) (*.f64 a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 a c (.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 b b)))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 b b)) (*.f64 a c))))) b)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 b (+.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) (*.f64 b b)))))
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(.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(* -4 (/ (* a c) (pow b 2)))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(fma.f64 a (/.f64 (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(fma.f64 a (/.f64 (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(fma.f64 a (/.f64 (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(* -4 (/ (* a c) (pow b 2)))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(.f64 (fma.f64 #s(literal 4 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(.f64 (fma.f64 #s(literal 4 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(.f64 (fma.f64 #s(literal 4 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(* -4 (/ (* a c) (pow b 2)))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (.f64 b b))) #s(literal 1 binary64))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (.f64 b b))) #s(literal 1 binary64))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (.f64 b b))) #s(literal 1 binary64))
(* -4 (/ (* a c) (pow b 2)))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal 4 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1 binary64) c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal 4 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1 binary64) c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal 4 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1 binary64) c))))
(* -4 (/ (* a c) (pow b 2)))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (*.f64 b b))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (*.f64 b b))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (*.f64 b b))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))

eval279.0ms (2.7%)

Memory: -8.5MiB live, 501.3MiB allocated
Compiler: Compiled 46 956 to 4 445 computations (90.5% saved)

prune226.0ms (2.2%)

Memory

17.6MiB live, 624.4MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1 721	17	1 738
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	1 728	23	1 751

Accuracy

94.5%

Counts

1 751 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
	25.8%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	34.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 (/.f64 #s(literal -4 binary64) (.f64 b b)) a) c #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
	33.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
▶	53.4%	(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 2 binary64) a))
	25.2%	(/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) b))
	28.7%	(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
	8.1%	(/.f64 c b)
	38.0%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
▶	2.3%	(/.f64 b a)
▶	26.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
	2.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
	32.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	50.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	28.0%	(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (.f64 a b)) (.f64 c #s(literal 1/2 binary64)))
▶	8.1%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
✓	51.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	33.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b #s(literal 2 binary64)))
▶	24.8%	(.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a #s(literal 2 binary64)) b)))
	33.5%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
	33.7%	(neg.f64 (/.f64 c b))

Compiler

Compiled 676 to 454 computations (32.8% saved)

simplify202.0ms (1.9%)

Memory

-29.6MiB live, 436.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	cost-diff	0	(/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))
✓	cost-diff	320	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
✓	cost-diff	0	(*.f64 a #s(literal -2 binary64))
✓	cost-diff	0	(.f64 c (.f64 a #s(literal -2 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) b))
✓	cost-diff	1152	(.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a #s(literal 2 binary64)) b)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	64	(fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))))

Rules

4 204×	`-lowering-.f32`
4 204×	`-lowering-.f64`
2 476×	`accelerator-lowering-fma.f32`
2 476×	`accelerator-lowering-fma.f64`
2 244×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	226
1	81	218
2	208	216
3	794	211
4	2635	211
5	3245	211
6	4043	211
7	5065	211
0	8121	205

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0))) (* 2 a))
(+ (neg b) (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0)))
(neg b)
b
(fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0))
(+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0)
(sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))
(+ (* a (/ c (* (* b b) -1/4))) 1)
a
(/ c (* (* b b) -1/4))
c
(* (* b b) -1/4)
(* b b)
-1/4
1
0
(* 2 a)
2
(/ b a)
b
a
(* (/ 1 b) c)
(/ 1 b)
1
b
c
(* (* c (* a -2)) (/ 1 (* (* a 2) b)))
(* c (* a -2))
c
(* a -2)
a
-2
(/ 1 (* (* a 2) b))
1
(* (* a 2) b)
(* a 2)
2
b
(/ 1/2 (/ a (+ b (sqrt (* (* a c) -4)))))
1/2
(/ a (+ b (sqrt (* (* a c) -4))))
a
(+ b (sqrt (* (* a c) -4)))
b
(sqrt (* (* a c) -4))
(* (* a c) -4)
(* a c)
c
-4

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

localize182.0ms (1.7%)

Memory

-11.9MiB live, 300.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 a c) #s(literal -4 binary64))
✓	accuracy	99.9%	(/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
✓	accuracy	88.0%	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 a #s(literal -2 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) b))
✓	accuracy	88.1%	(.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a #s(literal 2 binary64)) b)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	94.7%	(fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))
✓	accuracy	93.0%	(/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64)))
✓	accuracy	91.2%	(sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
✓	accuracy	91.1%	(+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))))

Samples

42.0ms	16×	2	valid
30.0ms	123×	0	valid
29.0ms	3×	3	valid
24.0ms	97×	0	invalid
6.0ms	15×	1	valid
2.0ms	2×	4	valid

Compiler

Compiled 226 to 40 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 20.0ms (39.5% of total)

ival-div: 15.0ms (29.6% of total)

ival-sqrt: 5.0ms (9.9% of total)

ival-add: 5.0ms (9.9% of total)

adjust: 2.0ms (3.9% of total)

ival-neg: 2.0ms (3.9% of total)

exact: 1.0ms (2% of total)

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

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

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

series41.0ms (0.4%)

Memory

19.7MiB live, 93.9MiB allocated

Counts

20 → 564

Calls

Call 1

Inputs
#<alt (+ (neg b) (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0)))>
#<alt (+ (* a (/ c (* (* b b) -1/4))) 1)>
#<alt (/ (+ (neg b) (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0))) (* 2 a))>
#<alt (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0))>
#<alt (/ b a)>
#<alt (* (/ 1 b) c)>
#<alt (/ 1 b)>
#<alt (* (* c (* a -2)) (/ 1 (* (* a 2) b)))>
#<alt (/ 1 (* (* a 2) b))>
#<alt (* c (* a -2))>
#<alt (* a -2)>
#<alt (/ 1/2 (/ a (+ b (sqrt (* (* a c) -4)))))>
#<alt (/ a (+ b (sqrt (* (* a c) -4))))>
#<alt (+ b (sqrt (* (* a c) -4)))>
#<alt (sqrt (* (* a c) -4))>
#<alt (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))>
#<alt (/ c (* (* b b) -1/4))>
#<alt (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0)>
#<alt (* a 2)>
#<alt (* (* a c) -4)>

Outputs
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<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 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))>
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#<alt 1>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))>
#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
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#<alt 1>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))>
#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -4) b))>
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#<alt (/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)>
#<alt 1>
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#<alt (* -4 (/ c (pow b 2)))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt b>
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#<alt b>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* 2 a)>
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#<alt (* -4 (* a c))>
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#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>

Calls

141 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(/ 1 (* (* a 2) b))
2.0ms	c	@	inf	(sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))
1.0ms	a	@	0	(/ 1/2 (/ a (+ b (sqrt (* (* a c) -4)))))
1.0ms	c	@	0	(/ c (* (* b b) -1/4))
1.0ms	c	@	0	(/ 1/2 (/ a (+ b (sqrt (* (* a c) -4)))))

rewrite91.0ms (0.9%)

Memory

-12.2MiB live, 154.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

796×	`-lowering-.f32`
796×	`-lowering-.f64`
712×	`/-lowering-/.f32`
712×	`/-lowering-/.f64`
602×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	180
1	186	174
0	1350	168

Stop Event

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

Counts

20 → 311

Calls

Call 1

Inputs
(+ (neg b) (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0)))
(+ (* a (/ c (* (* b b) -1/4))) 1)
(/ (+ (neg b) (fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0))) (* 2 a))
(fabs (+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0))
(/ b a)
(* (/ 1 b) c)
(/ 1 b)
(* (* c (* a -2)) (/ 1 (* (* a 2) b)))
(/ 1 (* (* a 2) b))
(* c (* a -2))
(* a -2)
(/ 1/2 (/ a (+ b (sqrt (* (* a c) -4)))))
(/ a (+ b (sqrt (* (* a c) -4))))
(+ b (sqrt (* (* a c) -4)))
(sqrt (* (* a c) -4))
(sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))
(/ c (* (* b b) -1/4))
(+ (* b (sqrt (+ (* a (/ c (* (* b b) -1/4))) 1))) 0)
(* a 2)
(* (* a c) -4)

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

simplify611.0ms (5.8%)

Memory

4.0MiB live, 830.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 014×	`accelerator-lowering-fma.f32`
10 014×	`accelerator-lowering-fma.f64`
7 576×	`-lowering-.f32`
7 576×	`-lowering-.f64`
2 760×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	7271
1	1918	7152
2	6401	7130
0	8119	6805

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(* -1 b)
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(* -1/2 (/ b a))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -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 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+ (* -1 (/ (- (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* -1 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ a b)
(/ (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)
(/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)
(/ (- (+ a (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)
(/ a b)
(* -1 (/ (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* (pow a 2) (* c (pow (sqrt -4) 2)))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2)))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 1)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))

Outputs
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs.f64 (.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))) b)
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))) b)
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(.f64 b (fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))) b) #s(literal -1 binary64)))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
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(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
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(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (.f64 b b)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/512 binary64))))))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))

eval179.0ms (1.7%)

Memory: 17.5MiB live, 197.5MiB allocated
Compiler: Compiled 17 738 to 1 790 computations (89.9% saved)

prune123.0ms (1.2%)

Memory

-26.6MiB live, 158.4MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	865	10	875
Fresh	6	11	17
Picked	2	3	5
Done	0	1	1
Total	873	25	898

Accuracy

98.8%

Counts

898 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
	33.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
▶	58.3%	(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a))
	23.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))))
	26.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) a)
	24.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (.f64 b b))) #s(literal 1 binary64)))))) a)
	28.7%	(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
▶	8.1%	(/.f64 c b)
	38.0%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓	2.3%	(/.f64 b a)
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 a b))
▶	18.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b)))
✓	26.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
	26.0%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) a))
	50.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	28.0%	(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (.f64 b (.f64 a #s(literal 2 binary64)))) c)
✓	8.1%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	2.3%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
✓	51.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶	33.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
▶	37.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b #s(literal 2 binary64)))
	24.8%	(.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
	33.5%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
	33.7%	(neg.f64 (/.f64 c b))

Compiler

Compiled 663 to 459 computations (30.8% saved)

simplify402.0ms (3.8%)

Memory

9.3MiB live, 402.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	0	(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b)
✓	cost-diff	0	(/.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b))
✓	cost-diff	320	(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b)))
✓	cost-diff	0	(.f64 (.f64 a c) #s(literal -4 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	-64	(*.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	512	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))
✓	cost-diff	192	(+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))))
✓	cost-diff	384	(fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))

Rules

8 828×	`accelerator-lowering-fma.f32`
8 828×	`accelerator-lowering-fma.f64`
4 800×	`-lowering-.f32`
4 800×	`-lowering-.f64`
2 060×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	226
1	77	221
2	165	221
3	310	221
4	482	221
5	813	221
6	1497	221
7	4666	221
8	7721	221
0	8284	212

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0))) (* 2 a))
(+ (neg b) (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)))
(neg b)
b
(fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0))
(+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)
(sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))
(+ (* (/ c b) (/ a (* b -1/4))) 1)
(/ c b)
c
(/ a (* b -1/4))
a
(* b -1/4)
-1/4
1
0
(* 2 a)
2
(/ c b)
c
b
(* (/ -1/2 a) (* b 2))
(/ -1/2 a)
-1/2
a
(* b 2)
b
2
(* (/ -1/2 a) (- b (sqrt (* (* a c) -4))))
(/ -1/2 a)
-1/2
a
(- b (sqrt (* (* a c) -4)))
b
(sqrt (* (* a c) -4))
(* (* a c) -4)
(* a c)
c
-4
(/ 1/2 (/ a (+ (* (sqrt a) (sqrt (* c -4))) b)))
1/2
(/ a (+ (* (sqrt a) (sqrt (* c -4))) b))
a
(+ (* (sqrt a) (sqrt (* c -4))) b)
(sqrt a)
(sqrt (* c -4))
(* c -4)
c
-4
b

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

localize149.0ms (1.4%)

Memory

31.0MiB live, 188.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	100.0%	(/.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b))
✓	accuracy	99.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b)))
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b)
✓	accuracy	100.0%	(.f64 (.f64 a c) #s(literal -4 binary64))
✓	accuracy	100.0%	(-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	94.0%	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) a)
✓	accuracy	100.0%	(*.f64 b #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	98.0%	(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	97.0%	(fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))
✓	accuracy	94.8%	(+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))))
✓	accuracy	93.8%	(sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64)))

Samples

58.0ms	174×	0	invalid
14.0ms	61×	0	valid
4.0ms	10×	1	valid
3.0ms	7×	2	valid
3.0ms	4×	3	valid

Compiler

Compiled 223 to 40 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 33.0ms (54.7% of total)

ival-div: 10.0ms (16.6% of total)

ival-sqrt: 7.0ms (11.6% of total)

ival-add: 5.0ms (8.3% of total)

adjust: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-fabs: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

series50.0ms (0.5%)

Memory

-29.7MiB live, 31.4MiB allocated

Counts

18 → 528

Calls

Call 1

Inputs
#<alt (+ (* (/ c b) (/ a (* b -1/4))) 1)>
#<alt (+ (neg b) (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)))>
#<alt (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0))>
#<alt (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)>
#<alt (/ c b)>
#<alt (* (/ -1/2 a) (* b 2))>
#<alt (/ -1/2 a)>
#<alt (* b 2)>
#<alt (- b (sqrt (* (* a c) -4)))>
#<alt (sqrt (* (* a c) -4))>
#<alt (* (* a c) -4)>
#<alt (/ 1/2 (/ a (+ (* (sqrt a) (sqrt (* c -4))) b)))>
#<alt (/ a (+ (* (sqrt a) (sqrt (* c -4))) b))>
#<alt (+ (* (sqrt a) (sqrt (* c -4))) b)>
#<alt (sqrt a)>
#<alt (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))>
#<alt (/ (+ (neg b) (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0))) (* 2 a))>
#<alt (* (/ -1/2 a) (- b (sqrt (* (* a c) -4))))>

Outputs
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
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#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
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#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
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#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
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#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
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#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt b>
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#<alt b>
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#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
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#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (/ c b)>
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#<alt (* -1 (/ b a))>
#<alt (/ -1/2 a)>
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#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt b>
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#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
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#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -4 (* a c))>
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#<alt (* -4 (* a c))>
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#<alt (* -4 (* a c))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b a)))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* 1/2 (/ b a))>
#<alt (* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
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#<alt (* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))>
#<alt (- (+ (* -1 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (* (pow (sqrt -4) 2) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (* (pow (sqrt -4) 3) (pow (sqrt -1) 2)))) (/ (* a b) (* c (* (pow (sqrt -4) 2) (pow (sqrt -1) 2))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b 3)) (* (pow c 2) (* (pow (sqrt -4) 4) (pow (sqrt -1) 4))))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (* (pow (sqrt -4) 3) (pow (sqrt -1) 2))))) a)) (/ (* a b) (* c (* (pow (sqrt -4) 2) (pow (sqrt -1) 2))))) a)))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)>
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2)))) c)>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* -1 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ a b)>
#<alt (/ (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)>
#<alt (/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)>
#<alt (/ (- (+ a (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)>
#<alt (/ a b)>
#<alt (* -1 (/ (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* (pow a 2) (* c (pow (sqrt -4) 2)))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))>
#<alt (+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -4) b))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))>
#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -4) b))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)>
#<alt (/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)>
#<alt (/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))>
#<alt (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))>
#<alt (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))>
#<alt (+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -4) b))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))>
#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>

Calls

132 calls:

Time	Variable		Point	Expression
19.0ms	c	@	0	(+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)
12.0ms	a	@	inf	(* (/ -1/2 a) (- b (sqrt (* (* a c) -4))))
1.0ms	a	@	-inf	(/ 1/2 (/ a (+ (* (sqrt a) (sqrt (* c -4))) b)))
1.0ms	a	@	-inf	(/ a (+ (* (sqrt a) (sqrt (* c -4))) b))
1.0ms	a	@	0	(* (/ -1/2 a) (- b (sqrt (* (* a c) -4))))

rewrite132.0ms (1.3%)

Memory

-18.5MiB live, 96.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

996×	`-lowering-.f32`
996×	`-lowering-.f64`
866×	`accelerator-lowering-fma.f32`
866×	`accelerator-lowering-fma.f64`
858×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	171
1	198	166
0	1587	160

Stop Event

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

Counts

18 → 314

Calls

Call 1

Inputs
(+ (* (/ c b) (/ a (* b -1/4))) 1)
(+ (neg b) (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)))
(fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0))
(+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0)
(/ c b)
(* (/ -1/2 a) (* b 2))
(/ -1/2 a)
(* b 2)
(- b (sqrt (* (* a c) -4)))
(sqrt (* (* a c) -4))
(* (* a c) -4)
(/ 1/2 (/ a (+ (* (sqrt a) (sqrt (* c -4))) b)))
(/ a (+ (* (sqrt a) (sqrt (* c -4))) b))
(+ (* (sqrt a) (sqrt (* c -4))) b)
(sqrt a)
(sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))
(/ (+ (neg b) (fabs (+ (* b (sqrt (+ (* (/ c b) (/ a (* b -1/4))) 1))) 0))) (* 2 a))
(* (/ -1/2 a) (- b (sqrt (* (* a c) -4))))

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

simplify504.0ms (4.8%)

Memory

35.7MiB live, 704.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 820×	`accelerator-lowering-fma.f32`
9 820×	`accelerator-lowering-fma.f64`
7 214×	`-lowering-.f32`
7 214×	`-lowering-.f64`
3 624×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	639	7722
1	2065	7536
2	7095	7501
0	8249	7154

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(* -1 b)
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 1)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
b
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b a)))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (* (pow (sqrt -4) 2) (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (* (pow (sqrt -4) 3) (pow (sqrt -1) 2)))) (/ (* a b) (* c (* (pow (sqrt -4) 2) (pow (sqrt -1) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b 3)) (* (pow c 2) (* (pow (sqrt -4) 4) (pow (sqrt -1) 4))))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (* (pow (sqrt -4) 3) (pow (sqrt -1) 2))))) a)) (/ (* a b) (* c (* (pow (sqrt -4) 2) (pow (sqrt -1) 2))))) a)))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2)))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* -1 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ a b)
(/ (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)
(/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)
(/ (- (+ a (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)
(/ a b)
(* -1 (/ (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* (pow a 2) (* c (pow (sqrt -4) 2)))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
(* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(* -1/2 (/ b a))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1/2 (/ b a))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))

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

eval129.0ms (1.2%)

Memory: -0.1MiB live, 150.7MiB allocated
Compiler: Compiled 19 350 to 1 904 computations (90.2% saved)

prune92.0ms (0.9%)

Memory

-10.7MiB live, 189.1MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	897	8	905
Fresh	5	11	16
Picked	2	3	5
Done	0	4	4
Total	904	26	930

Accuracy

98.8%

Counts

930 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
	33.7%	(/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
	38.0%	(/.f64 (-.f64 #s(literal 0 binary64) b) a)
✓	58.3%	(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a))
	44.3%	(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b) b))) (.f64 #s(literal 2 binary64) a))
	29.6%	(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))) a))
	24.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) (/.f64 a (.f64 b b))) #s(literal 1 binary64)))))) a)
	28.7%	(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
✓	8.1%	(/.f64 c b)
✓	2.3%	(/.f64 b a)
	37.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 a b))
✓	26.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
	26.0%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))) a))
	50.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	28.0%	(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (.f64 b (.f64 a #s(literal 2 binary64)))) c)
✓	8.1%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	2.3%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
	21.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (neg.f64 (sqrt.f64 a)) b))
✓	51.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	33.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
	37.9%	(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) a))
	24.8%	(.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
	33.5%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
	33.7%	(neg.f64 (/.f64 c b))

Compiler

Compiled 999 to 443 computations (55.7% saved)

regimes58.0ms (0.6%)

Memory

29.7MiB live, 106.6MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(neg.f64 (/.f64 c b))

Calls

4 calls:

15.0ms	c
15.0ms	b
13.0ms	a
12.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
65.0%	4	`a`
90.0%	3	`b`
61.2%	2	`c`
82.1%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes20.0ms (0.2%)

Memory

-22.8MiB live, 27.1MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(neg.f64 (/.f64 c b))

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
89.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-12.5MiB live, 26.6MiB allocated

Counts

43 → 3

Calls

Call 1

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

Outputs
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 c b))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(neg.f64 (/.f64 c b))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
88.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-22.1MiB live, 17.2MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))

(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))

(neg.f64 (/.f64 c b))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
85.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))

(neg.f64 (/.f64 c b))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
85.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-14.5MiB live, 24.9MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(neg.f64 (/.f64 c b))

Calls

2 calls:

7.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
6.0ms	b

Results

Accuracy	Segments	Branch
52.4%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
69.1%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))

Calls

4 calls:

2.0ms	c
2.0ms	a
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
33.7%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
33.7%	1	`c`
33.7%	1	`a`
33.7%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory

-27.1MiB live, 15.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)

Outputs
(/.f64 c b)

Calls

4 calls:

2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
2.0ms	c
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
8.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
8.1%	1	`b`
8.1%	1	`a`
8.1%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b a)

Outputs
(/.f64 b a)

Calls

4 calls:

1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
1.0ms	b
1.0ms	a
1.0ms	c

Results

Accuracy	Segments	Branch
2.3%	1	`c`
2.3%	1	`a`
2.3%	1	`b`
2.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch42.0ms (0.4%)

Memory

22.0MiB live, 99.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
31.0ms	0.0021488054673884397	65514450.83139747
6.0ms	-7.249539695547074e+87	-1.0818353827429796e+85

Samples

10.0ms	44×	2	valid
8.0ms	56×	1	valid
8.0ms	103×	0	valid
2.0ms	28×	0	invalid
1.0ms	4×	4	valid
0.0ms	1×	3	valid

Compiler

Compiled 454 to 332 computations (26.9% saved)

Precisions

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

ival-mult: 7.0ms (33.4% of total)

ival-div: 3.0ms (14.3% of total)

ival-sqrt: 3.0ms (14.3% of total)

ival-add: 3.0ms (14.3% of total)

adjust: 2.0ms (9.5% of total)

ival-sub: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory

-23.4MiB live, 94.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
33.0ms	0.0021488054673884397	65514450.83139747
2.0ms	-7.249539695547074e+87	-1.0818353827429796e+85

Samples

10.0ms	51×	2	valid
8.0ms	79×	0	valid
7.0ms	42×	1	valid
2.0ms	23×	0	invalid
1.0ms	3×	4	valid
0.0ms	1×	3	valid

Compiler

Compiled 360 to 264 computations (26.7% saved)

Precisions

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

ival-mult: 8.0ms (37.9% of total)

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

ival-div: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

adjust: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory

-0.0MiB live, 76.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
31.0ms	0.0021488054673884397	65514450.83139747
2.0ms	-9.962383559955747e+157	-4.17960469951597e+148

Samples

10.0ms	43×	2	valid
6.0ms	48×	1	valid
6.0ms	78×	0	valid
2.0ms	31×	0	invalid
1.0ms	4×	4	valid
1.0ms	3×	3	valid

Compiler

Compiled 343 to 252 computations (26.5% saved)

Precisions

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

ival-mult: 6.0ms (33.4% of total)

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

adjust: 2.0ms (11.1% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch55.0ms (0.5%)

Memory

34.1MiB live, 113.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.0021488054673884397	65514450.83139747
14.0ms	-4.263507062232733e+140	-9.855417587374862e+137

Samples

16.0ms	202×	0	valid
8.0ms	43×	1	valid
6.0ms	34×	2	valid
2.0ms	29×	0	invalid
2.0ms	7×	4	valid
1.0ms	2×	3	valid

Compiler

Compiled 517 to 370 computations (28.4% saved)

Precisions

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

ival-mult: 10.0ms (40.9% of total)

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

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

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

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

ival-add: 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)

exact: 0.0ms (0% of total)

bsearch69.0ms (0.7%)

Memory

-30.5MiB live, 128.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.0021488054673884397	65514450.83139747
24.0ms	-0.0026414474506028284	-4.450636495760542e-21

Samples

28.0ms	237×	0	valid
8.0ms	38×	2	valid
5.0ms	39×	1	valid
5.0ms	63×	0	invalid
1.0ms	3×	4	valid
1.0ms	3×	3	valid

Compiler

Compiled 583 to 420 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 10.0ms (28.4% of total)

ival-add: 10.0ms (28.4% of total)

ival-neg: 4.0ms (11.4% of total)

ival-sqrt: 4.0ms (11.4% of total)

ival-div: 3.0ms (8.5% of total)

ival-sub: 2.0ms (5.7% of total)

adjust: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch69.0ms (0.7%)

Memory

35.5MiB live, 150.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	0.0021488054673884397	65514450.83139747
24.0ms	-0.0026414474506028284	-4.450636495760542e-21

Samples

19.0ms	217×	0	valid
12.0ms	48×	1	valid
9.0ms	47×	2	valid
8.0ms	60×	0	invalid
1.0ms	5×	3	valid
1.0ms	3×	4	valid

Compiler

Compiled 583 to 420 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sqrt: 11.0ms (28.8% of total)

ival-mult: 10.0ms (26.2% of total)

ival-div: 7.0ms (18.3% of total)

ival-neg: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

ival-add: 3.0ms (7.9% of total)

adjust: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory

-7.2MiB live, 71.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.4711006443958461e-285	2.439776262746942e-274

Samples

14.0ms	160×	0	valid
7.0ms	90×	0	invalid

Compiler

Compiled 193 to 150 computations (22.3% saved)

Precisions

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

ival-mult: 7.0ms (50.2% of total)

ival-div: 2.0ms (14.4% of total)

ival-sqrt: 2.0ms (14.4% of total)

ival-add: 1.0ms (7.2% of total)

ival-sub: 1.0ms (7.2% of total)

ival-neg: 1.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory

-2.2MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
36×	`+-commutative_binary64`
30×	`sub-neg_binary64`
22×	`neg-mul-1_binary64`
20×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	258
1	132	253
2	167	253
3	187	253
4	197	253
5	199	253

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 3098476543630901/144115188075855872 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -1050000000000000034483640613665172382936363194677592280287929097571684357243727395321201381409113783318146980023538557357580915165922066432 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -5981525981032121/1329227995784915872903807060280344576 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -2281771080410813/5070602400912917605986812821504 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 c b)))
(neg.f64 (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

Outputs
(if (<=.f64 b #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (/.f64 (-.f64 (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 (/.f64 c b) (/.f64 a (.f64 b #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))) b) (.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.f64 (+.f64 (neg.f64 b) (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 3098476543630901/144115188075855872 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.f64 (-.f64 (fabs.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (/.f64 c (.f64 #s(literal -1/4 binary64) (.f64 b b))) #s(literal 1 binary64))) #s(literal 0 binary64))) b) (.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 3098476543630901/144115188075855872 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1050000000000000034483640613665172382936363194677592280287929097571684357243727395321201381409113783318146980023538557357580915165922066432 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -1050000000000000034483640613665172382936363194677592280287929097571684357243727395321201381409113783318146980023538557357580915165922066432 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -5981525981032121/1329227995784915872903807060280344576 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -5981525981032121/1329227995784915872903807060280344576 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -2281771080410813/5070602400912917605986812821504 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -2281771080410813/5070602400912917605986812821504 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

soundness863.0ms (8.3%)

Memory

-20.5MiB live, 874.9MiB allocated

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
8 130×	`accelerator-lowering-fma.f32`
8 130×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	67	47
2	527	47
3	6858	47
0	8152	43
0	38	180
1	186	174
0	1350	168
0	1095	10612
1	3622	10353
0	8413	9909
0	37	213
1	212	208
2	1783	201
0	8597	189
0	38	171
1	198	166
0	1587	160
0	545	3249
1	1738	3208
2	6083	3180
0	8243	3023

Stop Event

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

Compiler

Compiled 586 to 318 computations (45.7% saved)

preprocess83.0ms (0.8%)

Memory: 19.6MiB live, 97.6MiB allocated
Compiler: Compiled 578 to 212 computations (63.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze149.0ms (1.4%)

sample2.1s (19.7%)

preprocess158.0ms (1.5%)

explain197.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify108.0ms (1%)

localize55.0ms (0.5%)

series29.0ms (0.3%)

rewrite360.0ms (3.4%)

simplify484.0ms (4.6%)

eval117.0ms (1.1%)

prune87.0ms (0.8%)

simplify252.0ms (2.4%)

localize257.0ms (2.5%)

series61.0ms (0.6%)

rewrite537.0ms (5.1%)

simplify688.0ms (6.6%)

eval279.0ms (2.7%)

prune226.0ms (2.2%)

simplify202.0ms (1.9%)

localize182.0ms (1.7%)

series41.0ms (0.4%)

rewrite91.0ms (0.9%)

simplify611.0ms (5.8%)

eval179.0ms (1.7%)

prune123.0ms (1.2%)

simplify402.0ms (3.8%)

localize149.0ms (1.4%)

series50.0ms (0.5%)

rewrite132.0ms (1.3%)

simplify504.0ms (4.8%)

eval129.0ms (1.2%)

prune92.0ms (0.9%)

regimes58.0ms (0.6%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch40.0ms (0.4%)

bsearch40.0ms (0.4%)

bsearch55.0ms (0.5%)

bsearch69.0ms (0.7%)

bsearch69.0ms (0.7%)

bsearch32.0ms (0.3%)

simplify15.0ms (0.1%)

soundness863.0ms (8.3%)

preprocess83.0ms (0.8%)

end0.0ms (0%)

Profiling