Metrics for jeff quadratic root 1

analyze214.0ms (1.2%)

Memory

-40.6MiB live, 256.6MiB 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
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.5%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
47.5%	44.5%	49.1%	0.1%	0%	6.2%	0%	8
54.7%	49.9%	41.3%	0.1%	0%	8.6%	0%	9
61%	52.9%	33.7%	0.1%	0%	13.3%	0%	10
67.4%	57.8%	28%	0.1%	0%	14%	0%	11
72.5%	60.5%	23%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 40 to 22 computations (45% saved)

sample2.0s (11.4%)

Memory

56.0MiB live, 2 620.5MiB allocated

Samples

1.3s	8 256×	0	valid
153.0ms	955×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 354.0ms (32.4% of total)

ival-mult: 307.0ms (28.1% of total)

ival-sub: 96.0ms (8.8% of total)

ival-sqrt: 90.0ms (8.2% of total)

ival-neg: 89.0ms (8.1% of total)

ival-add: 57.0ms (5.2% of total)

ival-if: 40.0ms (3.7% of total)

ival->=: 35.0ms (3.2% of total)

exact: 14.0ms (1.3% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess322.0ms (1.8%)

Memory

-15.3MiB live, 147.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 344×	`accelerator-lowering-fma.f32`
1 344×	`accelerator-lowering-fma.f64`
1 108×	`distribute-lft-in`
960×	`times-frac`
948×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	355
1	222	336
2	682	336
3	1829	329
4	4477	329
5	6177	329
6	6905	329
7	7179	329
8	7230	329
9	7252	329
10	7392	329
11	7683	329
12	7721	329
13	7721	329
0	20	38
1	44	37
2	115	37
3	266	36
4	460	36
5	836	36
6	1684	36
7	2250	36
8	2626	36
9	2881	36
10	2906	36
11	2915	36
12	2962	36
13	3118	36
14	3154	36
15	3200	36
16	3204	36
17	3204	36
0	3204	34

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))

Outputs

(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))

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

explain513.0ms (2.9%)

Memory

3.1MiB live, 445.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
97	0	-	1	(-5.463946401508753e-106 -1.450267470474115e-157 -5.484459038704122e-276)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
54	1	(7.666712731118717e-205 7.081025519054437e+142 -1.9947475610636494e+23)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
53	1	(3.389504987897781e+111 -3.738682487746639e+151 4.129515591894743e-284)	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
17	0	-	3	(3.135037032288673e+113 1.9215359768890774e+180 7.603419841725856e-252)	`(/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`
12	0	-	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))`
3	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	0	-	`a`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`(>=.f64 b #s(literal 0 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
0	0	-	0	-	`#s(literal 0 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	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	89	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	89
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	23
↳	`(*.f64 b b)`	overflow	75
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	55	0
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	54	0
`/.f64`	`(/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`	n/u	14	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	7
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	27
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	36
↳	`(*.f64 b b)`	underflow	42
`/.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	12	0
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	27
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	7
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	36
↳	`(*.f64 b b)`	underflow	42
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	7	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	7
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	36
↳	`(*.f64 b b)`	underflow	42
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	75
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	23

Confusion

	Predicted +	Predicted -
+	68	1
-	107	80

Precision

0.38857142857142857

Recall

0.9855072463768116

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	1
-	107	0	80

Precision?

0.38857142857142857

Recall?

0.9855072463768116

Freqs

test

number	freq
0	81
1	119
2	53
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms	150×	2	valid
60.0ms	188×	0	valid
31.0ms	136×	1	valid
12.0ms	28×	3	valid
4.0ms	8×	4	valid
1.0ms	2×	5	exit

Compiler

Compiled 376 to 84 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

adjust: 41.0ms (23.5% of total)

ival-mult: 40.0ms (22.9% of total)

ival->=: 29.0ms (16.6% of total)

ival-sqrt: 25.0ms (14.3% of total)

ival-div: 13.0ms (7.4% of total)

ival-sub: 11.0ms (6.3% of total)

ival-neg: 5.0ms (2.9% of total)

ival-if: 5.0ms (2.9% of total)

ival-add: 5.0ms (2.9% of total)

exact: 1.0ms (0.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Status

Accuracy

Program

▶

74.8%

(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Compiler

Compiled 41 to 20 computations (51.2% saved)

simplify249.0ms (1.4%)

Memory

-9.0MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(/.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))

Rules

1 344×	`accelerator-lowering-fma.f32`
1 344×	`accelerator-lowering-fma.f64`
936×	`-lowering-.f32`
936×	`-lowering-.f64`
470×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	145
1	44	142
2	115	142
3	266	140
4	460	140
5	836	140
6	1684	140
7	2250	140
8	2626	140
9	2881	140
10	2906	140
11	2915	140
12	2962	140
13	3118	140
14	3154	140
15	3200	140
16	3204	140
17	3204	140
0	3204	132

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg 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
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

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

localize172.0ms (1%)

Memory

21.9MiB live, 177.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.2%	(/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
✓	accuracy	81.2%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	80.8%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	64.9%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

71.0ms	75×	2	valid
17.0ms	68×	1	valid
11.0ms	94×	0	valid
6.0ms	14×	3	valid
2.0ms	4×	4	valid
1.0ms	1×	5	exit

Compiler

Compiled 147 to 22 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sqrt: 51.0ms (57.4% of total)

ival-mult: 9.0ms (10.1% of total)

adjust: 8.0ms (9% of total)

ival-div: 6.0ms (6.8% of total)

ival-sub: 5.0ms (5.6% of total)

ival-neg: 3.0ms (3.4% of total)

ival-if: 2.0ms (2.3% of total)

ival-add: 2.0ms (2.3% of total)

ival->=: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.2%)

Memory

15.1MiB live, 90.2MiB allocated

Counts

7 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite346.0ms (2%)

Memory

-36.4MiB live, 866.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 570×	`accelerator-lowering-fma.f32`
5 570×	`accelerator-lowering-fma.f64`
5 070×	`-lowering-.f32`
5 070×	`-lowering-.f64`
3 266×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	90	80
2	733	78
0	9706	72

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 755

Calls

Call 1

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

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

simplify1.5s (8.5%)

Memory

-7.4MiB live, 628.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 914×	`accelerator-lowering-fma.f32`
11 914×	`accelerator-lowering-fma.f64`
9 678×	`-lowering-.f32`
9 678×	`-lowering-.f64`
4 770×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	886	5290
1	2941	5158
0	9037	4937

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -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))) (* 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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c 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)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -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))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -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))))
(* (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))))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* (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 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* 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))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))

Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (.f64 b b))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c)) (neg.f64 b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
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(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(fma.f64 b (fma.f64 b (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (*.f64 c a)) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(.f64 b (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 a (neg.f64 (.f64 c (.f64 (.f64 c (.f64 c a)) #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (.f64 c (.f64 a a))) (.f64 c (.f64 c (.f64 c (.f64 a a)))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 (.f64 c (.f64 c a)) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c)) (neg.f64 b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5/2 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(/.f64 (-.f64 (.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (.f64 a (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) b)) c) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (.f64 #s(literal -1/2 binary64) c)) (.f64 b b)))) (.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) #s(literal 1 binary64))) (/.f64 c b))) b) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (*.f64 a a))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (.f64 a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 a (.f64 b (.f64 b b)))) (.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/2 binary64) b)) (sqrt.f64 #s(literal -4 binary64))))) (.f64 a (.f64 a a)))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)) (.f64 b #s(literal 1/2 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/16 binary64))) a) (.f64 #s(literal -1/2 binary64) (.f64 a b))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/16 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 a a)) (.f64 b (.f64 b b))) c)) a) (.f64 (.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)))) #s(literal 1/8 binary64))) a)) a)) (neg.f64 a))

eval388.0ms (2.2%)

Memory: 41.2MiB live, 307.8MiB allocated
Compiler: Compiled 70 794 to 4 517 computations (93.6% saved)

prune396.0ms (2.2%)

Memory

-12.4MiB live, 426.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1 177	17	1 194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 178	17	1 195

Accuracy

93.3%

Counts

1 195 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 a a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	74.3%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
	67.6%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)) #s(literal 1 binary64)))))))
▶	73.2%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	60.0%	(if (>=.f64 b #s(literal 0 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)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) c)))
▶	55.5%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
	52.2%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 c #s(literal 2 binary64)))))
	53.1%	(if (>=.f64 b #s(literal 0 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)) (.f64 (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
	74.8%	(if (>=.f64 b #s(literal 0 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)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
	55.9%	(if (>=.f64 b #s(literal 0 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 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	67.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	74.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	67.5%	(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
▶	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
▶	67.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Compiler

Compiled 1 468 to 868 computations (40.9% saved)

simplify265.0ms (1.5%)

Memory

-24.0MiB live, 420.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(/.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	(fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	cost-diff	640	(-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1/2 binary64))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (neg.f64 b))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(/.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	512	(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	cost-diff	640	(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1/2 binary64) a))

Rules

6 786×	`accelerator-lowering-fma.f32`
6 786×	`accelerator-lowering-fma.f64`
3 630×	`-lowering-.f32`
3 630×	`-lowering-.f64`
1 440×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	876
1	137	856
2	385	830
3	1019	820
4	2776	820
5	6123	820
0	8312	773

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize503.0ms (2.8%)

Memory

38.7MiB live, 958.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	83.1%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
✓	accuracy	81.2%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	70.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	70.0%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
✓	accuracy	83.1%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	70.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	70.0%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
✓	accuracy	59.6%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓	accuracy	99.1%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	accuracy	95.7%	(/.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	81.2%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	70.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	90.7%	(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
✓	accuracy	89.6%	(/.f64 c (*.f64 b b))
✓	accuracy	83.1%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	70.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	83.1%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	81.2%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
✓	accuracy	70.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	70.0%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))

Samples

126.0ms	30×	3	valid
114.0ms	99×	2	valid
52.0ms	18×	5	exit
37.0ms	94×	0	valid
21.0ms	11×	4	valid
3.0ms	4×	1	valid

Compiler

Compiled 860 to 56 computations (93.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-add: 99.0ms (41.1% of total)

ival-mult: 40.0ms (16.6% of total)

adjust: 37.0ms (15.4% of total)

ival-div: 28.0ms (11.6% of total)

ival-if: 12.0ms (5% of total)

ival-sub: 10.0ms (4.2% of total)

ival-sqrt: 9.0ms (3.7% of total)

ival-neg: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

ival->=: 1.0ms (0.4% of total)

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

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

series48.0ms (0.3%)

Memory

-20.1MiB live, 102.2MiB allocated

Counts

17 → 516

Calls

Call 1

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

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 (* (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 (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ 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 (* (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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c 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))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<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))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<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 (* -1/2 (* (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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (* -1 (/ (* b (- (* -1/2 a) (* 1/2 a))) (pow a 2)))>
#<alt (* -1 (* b (- (+ (/ -1/2 a) (/ c (pow b 2))) (/ 1/2 a))))>
#<alt (* -1 (* b (- (+ (/ -1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1/2 a))))>
#<alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))) (/ 1/2 a))))>
#<alt (/ c b)>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))>
#<alt (+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))>
#<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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))>
#<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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (- (* 1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (- (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (- (* b (+ (* 1/2 a) (* b (- (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (- (/ (* (pow a 3) (pow c 2)) (pow b 2)) (* -1 (* (pow a 2) c))) b)>
#<alt (/ (- (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))))) b)>
#<alt (* -1 (* b (- (* -1/2 a) (* 1/2 a))))>
#<alt (* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))>
#<alt (* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))))>
#<alt (* -1 (* b (- (+ (* -1/2 a) (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (* (pow a 2) (- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))))>
#<alt (* (pow a 2) (- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))>
#<alt (* (pow a 2) (- (* a (- (* a (- (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -2 (/ (pow c 3) (pow b 5))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* (pow a 2) (- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* (pow a 2) (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 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 (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (* c (- (/ (* (pow a 3) c) (pow b 3)) (* -1 (/ (pow a 2) b))))>
#<alt (* c (- (* c (- (* 2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))>
#<alt (* c (- (* c (- (* c (- (* 1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)) (* -2 (/ (pow a 4) (pow b 5))))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))>
#<alt (* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))>
#<alt (* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* 4 (* a c))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (* 4 (* a c))>
#<alt (* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))>
#<alt (* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))>
#<alt (* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))>
#<alt (* 2 (pow b 2))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (* 4 (* a c))>
#<alt (* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))>
#<alt (* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))>
#<alt (* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))>
#<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 (* (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 (* (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 (* (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 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<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 (+ (* -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 (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<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 (+ (* -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 (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (* -1 (* (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 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* 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 (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -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))>
#<alt (* -1 (/ (- (* 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 (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<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 (* -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 (* 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 (* 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))))))>

Calls

129 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* a (* -4 c)) (* b b))) 1/2))) (* a a))
4.0ms	c	@	0	(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	a	@	0	(neg (/ 1/2 a))
2.0ms	b	@	inf	(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* a (* -4 c)) (* b b))) 1/2))) (* a a))
2.0ms	a	@	-inf	(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* a (* -4 c)) (* b b))) 1/2))) (* a a))

rewrite445.0ms (2.5%)

Memory

-0.2MiB live, 590.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 250×	`accelerator-lowering-fma.f32`
5 250×	`accelerator-lowering-fma.f64`
3 940×	`/-lowering-/.f32`
3 940×	`/-lowering-/.f64`
3 430×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	187
1	266	179
2	2650	176
0	8372	164

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 697

Calls

Call 1

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

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

simplify473.0ms (2.7%)

Memory

36.3MiB live, 811.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 112×	`accelerator-lowering-fma.f32`
8 112×	`accelerator-lowering-fma.f64`
6 256×	`-lowering-.f32`
6 256×	`-lowering-.f64`
5 704×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1061	9840
1	3453	9709
0	8060	9292

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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)
(* (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))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ 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 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c 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)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -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))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1 (/ (* b (- (* -1/2 a) (* 1/2 a))) (pow a 2)))
(* -1 (* b (- (+ (/ -1/2 a) (/ c (pow b 2))) (/ 1/2 a))))
(* -1 (* b (- (+ (/ -1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1/2 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))) (/ 1/2 a))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(- (* 1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(- (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(- (* b (+ (* 1/2 a) (* b (- (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(/ (* (pow a 2) c) b)
(/ (- (/ (* (pow a 3) (pow c 2)) (pow b 2)) (* -1 (* (pow a 2) c))) b)
(/ (- (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))))) b)
(* -1 (* b (- (* -1/2 a) (* 1/2 a))))
(* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))
(* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))))
(* -1 (* b (- (+ (* -1/2 a) (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))
(/ (* (pow a 2) c) b)
(* (pow a 2) (- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))))
(* (pow a 2) (- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))
(* (pow a 2) (- (* a (- (* a (- (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -2 (/ (pow c 3) (pow b 5))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(/ (* (pow a 2) c) b)
(* c (- (/ (* (pow a 3) c) (pow b 3)) (* -1 (/ (pow a 2) b))))
(* c (- (* c (- (* 2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))
(* c (- (* c (- (* c (- (* 1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)) (* -2 (/ (pow a 4) (pow b 5))))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* 4 (* a c))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* 4 (* a c))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* 4 (* a c))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
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))))))))
(* (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))))))))
(* (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))))))))
(* (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) (* 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))))))
(* 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))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* 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))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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 (* (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))
(* 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))))))
(* 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))))))

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)
(* (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)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (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 (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)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (.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))))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (.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))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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))) (fma.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))) (.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 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal 2 binary64)))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a c) (*.f64 b b))) #s(literal 2 binary64)))
(* -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))))))))
(.f64 (neg.f64 b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a c) (.f64 b b))) #s(literal 2 binary64))))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)))
(* 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))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (-.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) (/.f64 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)))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) (/.f64 b a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b)) a)) (neg.f64 a))
(* -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))))))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a)) b) a)) (neg.f64 a))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 c (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 a b))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))))
(* 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))))))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 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)))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 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 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 c (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b)) c))))
(* -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))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c))))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a))
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b
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(.f64 c (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (/.f64 b c)) (*.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)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (/.f64 b c)) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) b) (neg.f64 c)) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -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))))))
(neg.f64 (.f64 c (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) (neg.f64 c)) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))

eval795.0ms (4.5%)

Memory: -17.2MiB live, 820.9MiB allocated
Compiler: Compiled 135 778 to 6 053 computations (95.5% saved)

prune363.0ms (2.1%)

Memory

31.3MiB live, 904.1MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	2 483	17	2 500
Fresh	5	7	12
Picked	5	0	5
Done	0	0	0
Total	2 493	24	2 517

Accuracy

93.4%

Counts

2 517 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.0%	(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 (.f64 b c) (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 b (neg.f64 a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
	65.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	42.9%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b b) #s(literal -1 binary64)))))
▶	67.6%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)) #s(literal 1 binary64)))))))
▶	60.0%	(if (>=.f64 b #s(literal 0 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)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) c)))
	52.8%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
	53.4%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (.f64 (.f64 a c) #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
	73.1%	(if (>=.f64 b #s(literal 0 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)) (*.f64 (/.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 b))))
	52.2%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 c #s(literal 2 binary64)))))
▶	74.8%	(if (>=.f64 b #s(literal 0 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)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
	55.9%	(if (>=.f64 b #s(literal 0 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 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	54.6%	(if (>=.f64 b #s(literal 0 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)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) #s(literal -1 binary64))))
▶	56.2%	(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
▶	65.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	49.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (.f64 a a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
	74.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	65.9%	(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	52.8%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b)) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	73.2%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	67.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))
	53.5%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))))
	65.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	34.1%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))))

Compiler

Compiled 1 806 to 1 094 computations (39.4% saved)

simplify482.0ms (2.7%)

Memory

5.9MiB live, 676.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(/.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	1344	(.f64 (.f64 b b) (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(/.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	384	(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) c))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(+.f64 (neg.f64 b) (neg.f64 b))
✓	cost-diff	128	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	512	(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(+.f64 (neg.f64 b) (neg.f64 b))
✓	cost-diff	512	(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))
✓	cost-diff	512	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(/.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))

Rules

20 042×	`accelerator-lowering-fma.f32`
20 042×	`accelerator-lowering-fma.f64`
4 928×	`-lowering-.f32`
4 928×	`-lowering-.f64`
2 250×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	701
1	130	685
2	333	669
3	1112	661
4	3829	655
0	8232	622

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize381.0ms (2.2%)

Memory

6.4MiB live, 478.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.0%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	83.5%	(.f64 (.f64 b b) (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	80.2%	(sqrt.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	accuracy	80.2%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	91.0%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	91.0%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
✓	accuracy	80.2%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
✓	accuracy	80.2%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	100.0%	(-.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	accuracy	99.9%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	99.5%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	86.1%	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) c)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.5%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	91.6%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
✓	accuracy	91.0%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	80.2%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
✓	accuracy	80.2%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

46.0ms	47×	2	valid
43.0ms	94×	0	valid
42.0ms	87×	0	invalid
21.0ms	16×	3	valid
17.0ms	10×	4	valid
3.0ms	2×	5	exit

Compiler

Compiled 715 to 54 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 29.0ms (25.5% of total)

ival-mult: 25.0ms (22% of total)

ival-sub: 13.0ms (11.4% of total)

adjust: 11.0ms (9.7% of total)

ival-sqrt: 10.0ms (8.8% of total)

ival-if: 10.0ms (8.8% of total)

ival-add: 9.0ms (7.9% of total)

ival-neg: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

ival->=: 1.0ms (0.9% of total)

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

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

series58.0ms (0.3%)

Memory

5.1MiB live, 90.1MiB allocated

Counts

22 → 636

Calls

Call 1

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

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

159 calls:

Time	Variable		Point	Expression
12.0ms	c	@	0	(/ (- (neg b) (sqrt (* (* a c) -4))) (* 2 a))
2.0ms	b	@	inf	(sqrt (* (* b b) (+ (* a (* (/ c (* b b)) -4)) 1)))
1.0ms	a	@	inf	(* (neg c) (/ 2 (- b (sqrt (+ (* a (* -4 c)) (* b b))))))
1.0ms	a	@	-inf	(* (neg c) (/ 2 (- b (sqrt (+ (* a (* -4 c)) (* b b))))))
1.0ms	a	@	0	(/ (- (neg b) (sqrt (* (* a c) -4))) (* 2 a))

rewrite149.0ms (0.8%)

Memory

-54.8MiB live, 266.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 882×	`accelerator-lowering-fma.f32`
1 882×	`accelerator-lowering-fma.f64`
1 290×	`-lowering-.f32`
1 290×	`-lowering-.f64`
1 150×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	225
1	284	213
0	2587	193

Stop Event

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

Counts

22 → 474

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (neg.f64 (.f64 b (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a)
(/.f64 (-.f64 (.f64 (neg.f64 b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 b (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) #s(literal 1 binary64)) (.f64 a #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 b (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) a) #s(literal 2 binary64))
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simplify527.0ms (3%)

Memory

8.5MiB live, 867.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 478×	`accelerator-lowering-fma.f32`
7 478×	`accelerator-lowering-fma.f64`
7 348×	`-lowering-.f32`
7 348×	`-lowering-.f64`
5 094×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1202	12144
1	4024	11908
0	8364	11388

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
(* -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))) (* 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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c 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)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -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))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -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 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -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 (/ 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))
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -1/2 (* (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)))
(+ (* -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)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -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)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* -2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (/ b (pow (sqrt -4) 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -2 (/ b (pow (sqrt -4) 2))) (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -2 (/ b (pow (sqrt -4) 2))) (+ (* -2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a))) a)) (* 1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* -2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* -1 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)))
(* -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))))))
(* (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))))))))
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))))))))
(* (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))))))))
(* -1 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* 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))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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 (* (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))
(* 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))))))
(* 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))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* (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 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -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 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) (* 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))))))
(* 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))))))
(* (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
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))))))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(+ 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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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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b
(+ b (* -2 (/ (* a c) b)))
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(+ 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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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* 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)))))
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(* 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))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(.f64 a (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* 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))))))
(.f64 a (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (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 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -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)))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (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 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a))
(* -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))))))))
(neg.f64 (.f64 a (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (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 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (*.f64 b 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 #s(literal -4 binary64) (/.f64 (.f64 c (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* 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 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 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 -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (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)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -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 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c))
(* -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 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) (neg.f64 c))

eval373.0ms (2.1%)

Memory: 89.9MiB live, 787.2MiB allocated
Compiler: Compiled 88 305 to 4 432 computations (95% saved)

prune421.0ms (2.4%)

Memory

-27.3MiB live, 752.7MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 096	16	2 112
Fresh	12	7	19
Picked	3	2	5
Done	0	0	0
Total	2 111	25	2 136

Accuracy

95.7%

Counts

2 136 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	45.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	44.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	76.8%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b))))
▶	76.8%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))) b)))
✓	60.0%	(if (>=.f64 b #s(literal 0 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)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) c)))
	52.8%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
	53.4%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (.f64 (.f64 a c) #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
	52.2%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 c #s(literal 2 binary64)))))
✓	56.2%	(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	65.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b))))
	46.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))
	46.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b b) c)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))
▶	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (neg.f64 (.f64 c (+.f64 b b))))
	46.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (neg.f64 a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	59.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) c)))
▶	74.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
▶	34.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	65.9%	(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
▶	56.2%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	67.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))
	53.5%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))))

Compiler

Compiled 1 590 to 976 computations (38.6% saved)

simplify355.0ms (2%)

Memory

-44.0MiB live, 557.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) c)
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)
✓	cost-diff	512	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (neg.f64 b))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) c)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	cost-diff	384	(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) c)
✓	cost-diff	128	(*.f64 a #s(literal 2 binary64))
✓	cost-diff	320	(/.f64 #s(literal -1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b b)))
✓	cost-diff	384	(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (neg.f64 (.f64 c (+.f64 b b))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	384	(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) c)
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))

Rules

14 202×	`accelerator-lowering-fma.f32`
14 202×	`accelerator-lowering-fma.f64`
3 584×	`-lowering-.f32`
3 584×	`-lowering-.f64`
1 956×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	621
1	148	592
2	396	580
3	1063	571
4	3007	571
0	8020	548

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize341.0ms (1.9%)

Memory

21.4MiB live, 573.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.6%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	91.0%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
✓	accuracy	80.2%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
✓	accuracy	80.2%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	100.0%	(-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	accuracy	99.5%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	86.1%	(sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) c)
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.5%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b b)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(neg.f64 (*.f64 c (+.f64 b b)))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.5%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	91.6%	(-.f64 (.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))) b)
✓	accuracy	91.0%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	87.9%	(sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	80.2%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

106.0ms	62×	2	valid
53.0ms	87×	0	invalid
40.0ms	94×	0	valid
19.0ms	11×	4	valid
3.0ms	2×	5	exit

Compiler

Compiled 617 to 63 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 34.0ms (22.2% of total)

ival-div: 29.0ms (18.9% of total)

ival-if: 27.0ms (17.6% of total)

ival-neg: 21.0ms (13.7% of total)

adjust: 10.0ms (6.5% of total)

ival-sqrt: 10.0ms (6.5% of total)

ival-add: 10.0ms (6.5% of total)

ival-sub: 9.0ms (5.9% of total)

ival-fabs: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

ival->=: 1.0ms (0.7% of total)

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

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

series60.0ms (0.3%)

Memory

-18.1MiB live, 139.8MiB allocated

Counts

24 → 660

Calls

Call 1

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

Outputs
#<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 (* 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 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))>
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#<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 (* (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>
#<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 (* (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 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* 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 (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -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))>
#<alt (* -1 (/ (- (* 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 (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<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 (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -4)) b))>
#<alt (/ (+ (* (sqrt (* a c)) (* (fabs b) (sqrt -4))) (* (pow b 2) (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (fabs b) (sqrt -4)))) 1))) b)>
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#<alt (/ (+ (* (sqrt (* a c)) (* (fabs b) (sqrt -4))) (* (pow b 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (fabs b) (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (fabs b) (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (fabs b)) (pow (sqrt -4) 5))))))) 1))) b)>
#<alt (* -1 b)>
#<alt (* b (- (/ (fabs b) b) 1))>
#<alt (* b (- (+ (* -2 (/ (* a (* c (fabs b))) (pow b 3))) (/ (fabs b) b)) 1))>
#<alt (* b (- (+ (* -2 (/ (* a (* c (fabs b))) (pow b 3))) (+ (* -2 (/ (* (pow a 2) (* (pow c 2) (fabs b))) (pow b 5))) (/ (fabs b) b))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (fabs b) (* -2 (/ (* a (* c (fabs b))) (pow b 2)))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (fabs b) (+ (* -2 (/ (* a (* c (fabs b))) (pow b 2))) (* -2 (/ (* (pow a 2) (* (pow c 2) (fabs b))) (pow b 4))))) b)))))>
#<alt (- (fabs b) b)>
#<alt (- (+ (fabs b) (* -2 (/ (* a (* c (fabs b))) (pow b 2)))) b)>
#<alt (- (+ (fabs b) (* c (+ (* -2 (/ (* a (fabs b)) (pow b 2))) (* -2 (/ (* (pow a 2) (* c (fabs b))) (pow b 4)))))) b)>
#<alt (- (+ (fabs b) (* c (+ (* -2 (/ (* a (fabs b)) (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) (* c (fabs b))) (pow b 6))) (* -2 (/ (* (pow a 2) (fabs b)) (pow b 4)))))))) b)>
#<alt (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -4)) b))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -4)) b))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -4)) b))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 3) (fabs b)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -4)) b)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -1)) b)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -1)) b))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (* (fabs b) (sqrt -1))))) b) c)) (* 2 (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -1)) b))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (* (fabs b) (sqrt -1))))) (* 1/4 (* (sqrt (/ c a)) (* b (* (fabs b) (sqrt -1)))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -1)) b))))))>
#<alt (- (fabs b) b)>
#<alt (- (+ (fabs b) (* -2 (/ (* a (* c (fabs b))) (pow b 2)))) b)>
#<alt (- (+ (fabs b) (* a (+ (* -2 (/ (* a (* (pow c 2) (fabs b))) (pow b 4))) (* -2 (/ (* c (fabs b)) (pow b 2)))))) b)>
#<alt (- (+ (fabs b) (* a (+ (* -2 (/ (* c (fabs b)) (pow b 2))) (* a (+ (* -4 (/ (* a (* (pow c 3) (fabs b))) (pow b 6))) (* -2 (/ (* (pow c 2) (fabs b)) (pow b 4)))))))) b)>
#<alt (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -4)) b))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -4)) b))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -4)) b))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 3) (fabs b)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -4)) b)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -1)) b)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -1)) b))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (* (fabs b) (sqrt -1))))) b) a)) (* 2 (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -1)) b))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (* (fabs b) (sqrt -1))))) (* 1/4 (* (sqrt (/ a c)) (* b (* (fabs b) (sqrt -1)))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -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 b)>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<alt (* -2 (* b c))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))>
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))>
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (/ b c) (* 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 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 (* (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 (* (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 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<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 (+ (* -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 (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<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 (+ (* -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))))))>

Calls

165 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(sqrt (+ (* (/ c (* b b)) (* a -4)) 1))
5.0ms	a	@	inf	(* (/ -1 (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) a)
3.0ms	c	@	-inf	(sqrt (+ (* (/ c (* b b)) (* a -4)) 1))
3.0ms	a	@	0	(* (/ 1/2 a) (- (neg b) (sqrt (* a (* c -4)))))
2.0ms	c	@	-inf	(- (* (fabs b) (sqrt (+ (* (/ c (* b b)) (* a -4)) 1))) b)

rewrite479.0ms (2.7%)

Memory

32.8MiB live, 747.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 180×	`accelerator-lowering-fma.f32`
5 180×	`accelerator-lowering-fma.f64`
4 356×	`/-lowering-/.f32`
4 356×	`/-lowering-/.f64`
3 976×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	226
1	294	205
2	2575	205
0	8762	188

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 553

Calls

Call 1

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

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

simplify513.0ms (2.9%)

Memory

11.4MiB live, 1 181.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 748×	`-lowering-.f32`
7 748×	`-lowering-.f64`
7 150×	`accelerator-lowering-fma.f32`
7 150×	`accelerator-lowering-fma.f64`
5 094×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1297	11503
1	4279	11346
0	8465	10906

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
(* -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))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -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))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b 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))
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -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))))) (sqrt -4))))))) (+ (* -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))))))
(* -1/2 (/ a b))
(/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b)
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -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 (* b (+ (* -1 (/ (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ 1 c)) (/ (* (pow a 3) (pow c 2)) (pow b 6))))))))))
(* -1/2 (/ a b))
(* a (- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (- (* a (+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1 (/ (pow c 2) (pow b 5))) (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (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 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (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))))
(* -1/2 (/ a b))
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(+ (* -1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (pow a 3) (pow b 5))) (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (+ (* -1 (* (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 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* 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) (* a (* c (pow (sqrt -4) 4))))) (+ (* 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 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* 1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (+ (* -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))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* 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) (pow c 2)) a))) c)) (+ (* -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))
(+ (* -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))))))
(* (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
(+ 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 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* 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))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* (sqrt (* a c)) (/ (* (fabs b) (sqrt -4)) b))
(/ (+ (* (sqrt (* a c)) (* (fabs b) (sqrt -4))) (* (pow b 2) (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (fabs b) (sqrt -4)))) 1))) b)
(/ (+ (* (sqrt (* a c)) (* (fabs b) (sqrt -4))) (* (pow b 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (fabs b)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (fabs b) (sqrt -4))))) 1))) b)
(/ (+ (* (sqrt (* a c)) (* (fabs b) (sqrt -4))) (* (pow b 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (fabs b) (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (fabs b) (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (fabs b)) (pow (sqrt -4) 5))))))) 1))) b)
(* -1 b)
(* b (- (/ (fabs b) b) 1))
(* b (- (+ (* -2 (/ (* a (* c (fabs b))) (pow b 3))) (/ (fabs b) b)) 1))
(* b (- (+ (* -2 (/ (* a (* c (fabs b))) (pow b 3))) (+ (* -2 (/ (* (pow a 2) (* (pow c 2) (fabs b))) (pow b 5))) (/ (fabs b) b))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))
(* -1 (* b (+ 1 (* -1 (/ (+ (fabs b) (* -2 (/ (* a (* c (fabs b))) (pow b 2)))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (+ (fabs b) (+ (* -2 (/ (* a (* c (fabs b))) (pow b 2))) (* -2 (/ (* (pow a 2) (* (pow c 2) (fabs b))) (pow b 4))))) b)))))
(- (fabs b) b)
(- (+ (fabs b) (* -2 (/ (* a (* c (fabs b))) (pow b 2)))) b)
(- (+ (fabs b) (* c (+ (* -2 (/ (* a (fabs b)) (pow b 2))) (* -2 (/ (* (pow a 2) (* c (fabs b))) (pow b 4)))))) b)
(- (+ (fabs b) (* c (+ (* -2 (/ (* a (fabs b)) (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) (* c (fabs b))) (pow b 6))) (* -2 (/ (* (pow a 2) (fabs b)) (pow b 4)))))))) b)
(* (sqrt (* a c)) (/ (* (fabs b) (sqrt -4)) b))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -4)) b))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -4)) b))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 3) (fabs b)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -4)) b)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -1)) b)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -1)) b))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (* (fabs b) (sqrt -1))))) b) c)) (* 2 (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -1)) b))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (* (fabs b) (sqrt -1))))) (* 1/4 (* (sqrt (/ c a)) (* b (* (fabs b) (sqrt -1)))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (/ (* (fabs b) (sqrt -1)) b))))))
(- (fabs b) b)
(- (+ (fabs b) (* -2 (/ (* a (* c (fabs b))) (pow b 2)))) b)
(- (+ (fabs b) (* a (+ (* -2 (/ (* a (* (pow c 2) (fabs b))) (pow b 4))) (* -2 (/ (* c (fabs b)) (pow b 2)))))) b)
(- (+ (fabs b) (* a (+ (* -2 (/ (* c (fabs b)) (pow b 2))) (* a (+ (* -4 (/ (* a (* (pow c 3) (fabs b))) (pow b 6))) (* -2 (/ (* (pow c 2) (fabs b)) (pow b 4)))))))) b)
(* (sqrt (* a c)) (/ (* (fabs b) (sqrt -4)) b))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -4)) b))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -4)) b))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 3) (fabs b)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (fabs b)) (sqrt -4)))) (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -4)) b)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (/ (* (fabs b) (sqrt -1)) b)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -1)) b))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (* (fabs b) (sqrt -1))))) b) a)) (* 2 (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -1)) b))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (* (fabs b) (sqrt -1))))) (* 1/4 (* (sqrt (/ a c)) (* b (* (fabs b) (sqrt -1)))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (/ (* (fabs b) (sqrt -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 b)
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* -2 (* b c))
(* (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 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 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))))))))
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))))))))
(* (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))))))))
(* (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) (* 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))))))
(* 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))))))

Outputs
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 #s(literal -4 binary64) c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 #s(literal -4 binary64) c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 #s(literal -4 binary64) c)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (+.f64 (/.f64 (.f64 b b) c) (*.f64 #s(literal -4 binary64) a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (+.f64 (/.f64 (.f64 b b) c) (*.f64 #s(literal -4 binary64) a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (+.f64 (/.f64 (.f64 b b) c) (*.f64 #s(literal -4 binary64) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) c)) (*.f64 a #s(literal 4 binary64))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) c)) (*.f64 a #s(literal 4 binary64))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) c)) (*.f64 a #s(literal 4 binary64))) (neg.f64 c))
(* 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))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>= b 0) (* -1 (/ b a)) (neg (* 2 (* b c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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b
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -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))))))))
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(* (sqrt (* a c)) (sqrt -4))
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b
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ (* 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 (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 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (.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 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(.f64 b (fma.f64 (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -2 binary64) #s(literal 2 binary64)))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))
(* 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)))))))
(.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (*.f64 b b)))) 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))
(/.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 (.f64 a c) (.f64 a c)) (.f64 b b))))) (neg.f64 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))
(/.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))) (fma.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 b))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b) (.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 a (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (*.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 b #s(literal 2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 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)))))
(.f64 a (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b (neg.f64 a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a)) (neg.f64 a))
(* -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))))))
(neg.f64 (.f64 a (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) a))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b) (.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (.f64 (.f64 a a) (/.f64 c (.f64 b (.f64 b b)))))) (.f64 b #s(literal 2 binary64)))
(+ (* 2 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 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 #s(literal -2 binary64) a) b)) (*.f64 b #s(literal 2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 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)))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 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 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (neg.f64 (/.f64 b c)))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c)) (neg.f64 c))
(* -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))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))))) c)) c))))

eval872.0ms (4.9%)

Memory: -41.3MiB live, 1 171.1MiB allocated
Compiler: Compiled 126 745 to 8 640 computations (93.2% saved)

prune1.3s (7.5%)

Memory

-42.9MiB live, 1 072.9MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	3 189	9	3 198
Fresh	2	16	18
Picked	2	3	5
Done	0	2	2
Total	3 193	30	3 223

Accuracy

95.7%

Counts

3 223 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	34.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	45.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	44.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	76.8%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b))))
✓	76.8%	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))) b)))
✓	60.0%	(if (>=.f64 b #s(literal 0 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)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) c)))
	52.8%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
	53.4%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (.f64 (.f64 a c) #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
	52.2%	(if (>=.f64 b #s(literal 0 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)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 c #s(literal 2 binary64)))))
✓	56.2%	(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	34.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 (neg.f64 c) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b b))) (fma.f64 b b #s(literal 0 binary64))))
	65.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b))))
	46.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))
	46.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b b) c)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))
	16.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (neg.f64 a)) (neg.f64 (*.f64 c (+.f64 b b))))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
✓	74.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))))
	34.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 a b)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
	4.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b b))) (/.f64 (.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (+.f64 b b)) (.f64 (+.f64 b b) (neg.f64 b)))))
	4.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 a (+.f64 b b))) (neg.f64 (.f64 c (+.f64 b b))))
	65.9%	(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
✓	56.2%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
	16.1%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b)) (neg.f64 (.f64 c (+.f64 b b))))
	67.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))
	53.5%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))))

Compiler

Compiled 2 828 to 840 computations (70.3% saved)

regimes72.0ms (0.4%)

Memory

15.9MiB live, 174.7MiB allocated

Counts

60 → 3

Calls

Call 1

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

Outputs

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

(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))

Calls

4 calls:

18.0ms	a
17.0ms	b
17.0ms	c
16.0ms	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Results

Accuracy	Segments	Branch
76.8%	1	`a`
91.8%	3	`b`
81.1%	3	`c`
91.8%	5	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes20.0ms (0.1%)

Memory

-0.3MiB live, 38.5MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))

(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
91.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory

-12.9MiB live, 26.4MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))

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

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
91.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))

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

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory

-26.9MiB live, 12.8MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
91.4%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

24 → 4

Calls

Call 1

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

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

Calls

2 calls:

7.0ms

(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Results

Accuracy	Segments	Branch
77.1%	3	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
86.2%	4	`b`

Compiler

Compiled 45 to 23 computations (48.9% saved)

regimes210.0ms (1.2%)

Memory

-15.5MiB live, 26.4MiB allocated

Counts

23 → 4

Calls

Call 1

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

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

Calls

2 calls:

201.0ms	b
7.0ms	c

Results

Accuracy	Segments	Branch
71.3%	3	`c`
82.6%	4	`b`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.2%)

Memory

-8.0MiB live, 31.5MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))

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

Calls

3 calls:

24.0ms

(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

6.0ms

Results

Accuracy	Segments	Branch
68.1%	2	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
65.9%	1	`a`
72.0%	2	`b`

Compiler

Compiled 49 to 26 computations (46.9% saved)

regimes20.0ms (0.1%)

Memory

14.5MiB live, 53.3MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))

Calls

3 calls:

7.0ms

6.0ms

(if (>=.f64 b #s(literal 0 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)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Results

Accuracy	Segments	Branch
65.9%	1	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
65.9%	1	`c`
65.9%	1	`b`

Compiler

Compiled 49 to 26 computations (46.9% saved)

regimes41.0ms (0.2%)

Memory

0.0MiB live, 39.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)))

Calls

4 calls:

28.0ms	c
4.0ms	a
4.0ms	b
4.0ms	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Results

Accuracy	Segments	Branch
65.6%	1	`a`
65.6%	1	`b`
65.6%	1	`c`
65.6%	1	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes46.0ms (0.3%)

Memory

-23.2MiB live, 28.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))

Calls

4 calls:

37.0ms	b
3.0ms	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
3.0ms	a
3.0ms	c

Results

Accuracy	Segments	Branch
46.9%	1	`a`
46.9%	1	`b`
46.9%	1	`c`
46.9%	1	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes11.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))

Calls

4 calls:

3.0ms	c
3.0ms	b
3.0ms	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
3.0ms	a

Results

Accuracy	Segments	Branch
35.4%	1	`a`
35.4%	1	`c`
35.4%	1	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
35.4%	1	`b`

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes15.0ms (0.1%)

Memory

-15.8MiB live, 23.9MiB allocated

Accuracy

Total -19.8b remaining (-47.8%)

Threshold costs -19.8b (-47.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))

Calls

4 calls:

8.0ms	c
2.0ms	(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
35.4%	1	`a`
35.4%	1	`b`
35.4%	1	`c`
35.4%	1	`(if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

bsearch27.0ms (0.2%)

Memory

8.9MiB live, 48.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
22.0ms	1.1808462168332697e+89	1.5953234958494202e+90
3.0ms	-1.688964255695362e+139	-1.2706905752504913e+134

Samples

20.0ms	112×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 515 to 292 computations (43.3% saved)

Precisions

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

ival-div: 9.0ms (53.8% of total)

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

ival-add: 1.0ms (6% of total)

ival-if: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

ival-sqrt: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch56.0ms (0.3%)

Memory

-3.8MiB live, 76.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.1808462168332697e+89	1.5953234958494202e+90
26.0ms	-3.5004800527855963e+155	-7.14593801801566e+152

Samples

34.0ms	224×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 948 to 538 computations (43.2% saved)

Precisions

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

ival-mult: 6.0ms (35.6% of total)

ival-div: 3.0ms (17.8% of total)

ival-sub: 2.0ms (11.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-add: 1.0ms (5.9% of total)

ival-if: 1.0ms (5.9% of total)

ival->=: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Memory

8.4MiB live, 47.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
17.0ms	1.1808462168332697e+89	1.5953234958494202e+90
5.0ms	-3.5004800527855963e+155	-7.14593801801566e+152

Samples

16.0ms	128×	0	valid
1.0ms	6×	0	invalid

Compiler

Compiled 550 to 364 computations (33.8% saved)

Precisions

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

ival-mult: 4.0ms (32.2% of total)

ival->=: 3.0ms (24.2% of total)

ival-div: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

ival-if: 1.0ms (8.1% of total)

ival-sub: 1.0ms (8.1% of total)

ival-sqrt: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory

7.9MiB live, 47.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
17.0ms	1.1808462168332697e+89	1.5953234958494202e+90
9.0ms	-3.5004800527855963e+155	-7.14593801801566e+152

Samples

20.0ms	160×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 668 to 420 computations (37.1% saved)

Precisions

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

ival-mult: 4.0ms (33.7% of total)

ival-div: 2.0ms (16.8% of total)

ival-sub: 2.0ms (16.8% of total)

ival-add: 1.0ms (8.4% of total)

ival-if: 1.0ms (8.4% of total)

ival-sqrt: 1.0ms (8.4% of total)

ival-neg: 1.0ms (8.4% of total)

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch98.0ms (0.6%)

Memory

-18.7MiB live, 100.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.1808462168332697e+89	1.5953234958494202e+90
57.0ms	-1.7020260671205366e-306	9.197468452321557e-308
15.0ms	-3.5004800527855963e+155	-7.14593801801566e+152

Samples

37.0ms	72×	0	invalid
35.0ms	272×	0	valid

Compiler

Compiled 1 081 to 689 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sub: 33.0ms (52.9% of total)

ival-mult: 17.0ms (27.2% of total)

ival-div: 4.0ms (6.4% of total)

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

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

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

ival-if: 1.0ms (1.6% of total)

ival->=: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

bsearch110.0ms (0.6%)

Memory

4.8MiB live, 124.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
38.0ms	9.479371720491986e-51	7.129887066057028e-44
58.0ms	-1.7020260671205366e-306	9.197468452321557e-308
7.0ms	-3.5004800527855963e+155	-7.14593801801566e+152

Samples

66.0ms	320×	0	valid
21.0ms	92×	0	invalid

Compiler

Compiled 1 213 to 780 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 40.0ms (53.1% of total)

ival-if: 18.0ms (23.9% of total)

ival-div: 5.0ms (6.6% of total)

ival-sub: 4.0ms (5.3% of total)

ival-sqrt: 3.0ms (4% of total)

ival-add: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

ival->=: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

bsearch108.0ms (0.6%)

Memory

-18.4MiB live, 143.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	9.479371720491986e-51	7.129887066057028e-44
28.0ms	-1.7020260671205366e-306	9.197468452321557e-308
37.0ms	-4.801385263173323e-82	-8.68546978374252e-86

Samples

58.0ms	400×	0	valid
12.0ms	96×	0	invalid

Compiler

Compiled 1 466 to 981 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 31.0ms (56.8% of total)

ival-div: 6.0ms (11% of total)

ival-sub: 5.0ms (9.2% of total)

ival-sqrt: 3.0ms (5.5% of total)

ival-add: 2.0ms (3.7% of total)

ival-if: 2.0ms (3.7% of total)

ival->=: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

bsearch26.0ms (0.1%)

Memory

33.5MiB live, 33.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-4.801385263173323e-82	-8.68546978374252e-86

Samples

13.0ms	128×	0	valid
3.0ms	32×	0	invalid

Compiler

Compiled 484 to 330 computations (31.8% saved)

Precisions

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

ival-mult: 5.0ms (40.6% of total)

ival-div: 2.0ms (16.3% of total)

ival-sub: 2.0ms (16.3% of total)

ival-add: 1.0ms (8.1% of total)

ival-if: 1.0ms (8.1% of total)

ival-sqrt: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify59.0ms (0.3%)

Memory

1.7MiB live, 41.0MiB allocated

Algorithm

1×	egg-herbie

Rules

110×	`*-commutative_binary64`
100×	`+-commutative_binary64`
90×	`sub-neg_binary64`
76×	`neg-sub0_binary64`
76×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	805
1	201	800
2	274	800
3	346	800
4	405	799
5	439	799
6	473	799
7	491	799
8	494	799
9	495	799

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))) b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -3299999999999999943299015887703798163835210317292092826383616119694392912805551116447537879454111111412636255302252908000733901149383334430981547259592704 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b))))))
(if (<=.f64 b #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b))) (if (<=.f64 b #s(literal 2611274321920859/100433627766186892221372630771322662657637687111424552206336 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -2870766576277703/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))) (if (<=.f64 b #s(literal 7240220052213307/822752278660603021077484591278675252491367932816789931674304512 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))

Outputs
(if (<=.f64 b #s(literal -10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))) b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))) b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c (+.f64 b b))))))
(if (<=.f64 b #s(literal -3299999999999999943299015887703798163835210317292092826383616119694392912805551116447537879454111111412636255302252908000733901149383334430981547259592704 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 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)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -3299999999999999943299015887703798163835210317292092826383616119694392912805551116447537879454111111412636255302252908000733901149383334430981547259592704 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c (+.f64 b b))))))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c (+.f64 b b))))))
(if (<=.f64 b #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))))
(if (<=.f64 b #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c (+.f64 b b))))))
(if (<=.f64 b #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b))))))
(if (<=.f64 b #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b))) (if (<=.f64 b #s(literal 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c (+.f64 b b)))))))
(if (<=.f64 b #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b))) (if (<=.f64 b #s(literal 2611274321920859/100433627766186892221372630771322662657637687111424552206336 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b))) (if (<=.f64 b #s(literal 2611274321920859/100433627766186892221372630771322662657637687111424552206336 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b))))))
(if (<=.f64 b #s(literal -2870766576277703/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))) (if (<=.f64 b #s(literal 7240220052213307/822752278660603021077484591278675252491367932816789931674304512 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -2870766576277703/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))) b))) (if (<=.f64 b #s(literal 7240220052213307/822752278660603021077484591278675252491367932816789931674304512 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b))))))
(if (<=.f64 b #s(literal -8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(if (<=.f64 b #s(literal -8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (*.f64 a c))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c (+.f64 b b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a #s(literal 2 binary64))) (.f64 (+.f64 b b) (*.f64 c #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 (.f64 c b) #s(literal -2 binary64)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (.f64 #s(literal -2 binary64) (.f64 b c)))

soundness1.1s (6.3%)

Memory

-11.1MiB live, 893.6MiB allocated

Rules

11 914×	`accelerator-lowering-fma.f32`
11 914×	`accelerator-lowering-fma.f64`
9 678×	`-lowering-.f32`
9 678×	`-lowering-.f64`
8 112×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	225
1	284	213
0	2587	193
0	44	187
1	266	179
2	2650	176
0	8372	164
0	19	82
1	90	80
2	733	78
0	9706	72
0	1061	9840
1	3453	9709
0	8060	9292
0	1297	11503
1	4279	11346
0	8465	10906
0	886	5290
1	2941	5158
0	9037	4937

Stop Event

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

Compiler

Compiled 2 590 to 1 233 computations (52.4% saved)

preprocess76.0ms (0.4%)

Memory: 27.4MiB live, 185.0MiB allocated
Compiler: Compiled 1 686 to 292 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	134	805
1	201	800
2	274	800
3	346	800
4	405	799
5	439	799
6	473	799
7	491	799
8	494	799
9	495	799

Iter	Nodes	Cost
0	134	805
1	201	800
2	274	800
3	346	800
4	405	799
5	439	799
6	473	799
7	491	799
8	494	799
9	495	799

analyze214.0ms (1.2%)

sample2.0s (11.4%)

preprocess322.0ms (1.8%)

explain513.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify249.0ms (1.4%)

localize172.0ms (1%)

series40.0ms (0.2%)

rewrite346.0ms (2%)

simplify1.5s (8.5%)

eval388.0ms (2.2%)

prune396.0ms (2.2%)

simplify265.0ms (1.5%)

localize503.0ms (2.8%)

series48.0ms (0.3%)

rewrite445.0ms (2.5%)

simplify473.0ms (2.7%)

eval795.0ms (4.5%)

prune363.0ms (2.1%)

simplify482.0ms (2.7%)

localize381.0ms (2.2%)

series58.0ms (0.3%)

rewrite149.0ms (0.8%)

simplify527.0ms (3%)

eval373.0ms (2.1%)

prune421.0ms (2.4%)

simplify355.0ms (2%)

localize341.0ms (1.9%)

series60.0ms (0.3%)

rewrite479.0ms (2.7%)

simplify513.0ms (2.9%)

eval872.0ms (4.9%)

prune1.3s (7.5%)

regimes72.0ms (0.4%)

regimes20.0ms (0.1%)

regimes19.0ms (0.1%)

regimes10.0ms (0.1%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes210.0ms (1.2%)

regimes38.0ms (0.2%)

regimes20.0ms (0.1%)

regimes41.0ms (0.2%)

regimes46.0ms (0.3%)

regimes11.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch56.0ms (0.3%)

bsearch25.0ms (0.1%)

bsearch30.0ms (0.2%)

bsearch98.0ms (0.6%)

bsearch110.0ms (0.6%)

bsearch108.0ms (0.6%)

bsearch26.0ms (0.1%)

simplify59.0ms (0.3%)

soundness1.1s (6.3%)

preprocess76.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	134	805
1	201	800
2	274	800
3	346	800
4	405	799
5	439	799
6	473	799
7	491	799
8	494	799
9	495	799