Metrics for Cubic critical

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze203.0ms (2.6%)

Memory

-4.8MiB live, 245.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.5s (18.3%)

Memory

13.9MiB live, 2 471.1MiB allocated

Samples

437.0ms	5 534×	0	valid
244.0ms	1 216×	2	valid
207.0ms	1 345×	1	valid
106.0ms	926×	0	invalid
39.0ms	161×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 746.0ms

ival-mult: 201.0ms (26.9% of total)

ival-sqrt: 131.0ms (17.6% of total)

ival-div: 113.0ms (15.1% of total)

ival-sub: 79.0ms (10.6% of total)

adjust: 74.0ms (9.9% of total)

ival-neg: 66.0ms (8.8% of total)

ival-add: 65.0ms (8.7% of total)

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

exact: 6.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain176.0ms (2.2%)

Memory

16.5MiB live, 245.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(3.378673196889587e-138 5.241551709070914e-244 -1.3558349983139579e-177)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
63	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
10	-	0	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
4	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
1	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`c`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	110	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	20
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	110
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(*.f64 b b)`	overflow	100
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	63	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	12	0
↳	`(*.f64 b b)`	underflow	46
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	34
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	12
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`	u/n	10	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	34
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	12
↳	`(*.f64 b b)`	underflow	46
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	28
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	4	0
↳	`(*.f64 b b)`	overflow	100
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	20
`*.f64`	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	138	1
-	15	102

Precision

0.9019607843137255

Recall

0.9928057553956835

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	1
-	15	0	102

Precision?

0.9019607843137255

Recall?

0.9928057553956835

Freqs

test

number	freq
0	103
1	109
2	41
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	332×	0	valid
22.0ms	84×	2	valid
14.0ms	86×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions

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

ival-mult: 11.0ms (27.7% of total)

ival-div: 6.0ms (15.1% of total)

ival-sqrt: 6.0ms (15.1% of total)

adjust: 5.0ms (12.6% of total)

ival-sub: 4.0ms (10.1% of total)

ival-add: 4.0ms (10.1% of total)

ival-neg: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess129.0ms (1.6%)

Memory

-33.2MiB live, 90.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 562×	`div-sub`
1 088×	`lower-fma.f64`
1 088×	`lower-fma.f32`
996×	`sub-neg`
712×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	158
1	152	144
2	433	144
3	1173	144
4	3171	144
5	6061	144
0	12	17
0	20	17
1	36	16
2	73	16
3	156	16
4	236	16
5	374	16
6	650	16
7	1103	16
8	2241	16
9	2510	16
10	2621	16
11	2676	16
12	2677	16
13	2677	16
0	2677	15

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))

(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify66.0ms (0.8%)

Memory

19.2MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))

Rules

1 088×	`lower-fma.f64`
1 088×	`lower-fma.f32`
712×	`lower-*.f32`
706×	`lower-*.f64`
430×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
0	20	66
1	36	64
2	73	64
3	156	64
4	236	64
5	374	64
6	650	64
7	1103	64
8	2241	64
9	2510	64
10	2621	64
11	2676	64
12	2677	64
13	2677	64
0	2677	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(.f64 (.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c

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

localize51.0ms (0.6%)

Memory

14.3MiB live, 95.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.8085937500000001	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy	2.5733469079856657	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
accuracy	14.791462095464276	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy	28.54723876906477	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

21.0ms	166×	0	valid
9.0ms	42×	2	valid
7.0ms	43×	1	valid
1.0ms	5×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-div: 7.0ms (29% of total)

ival-mult: 6.0ms (24.9% of total)

ival-sqrt: 3.0ms (12.4% of total)

ival-sub: 2.0ms (8.3% of total)

adjust: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

ival-neg: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-13.0MiB live, 25.0MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())

Outputs
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms	b	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
2.0ms	a	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
2.0ms	c	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
2.0ms	b	@	0	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify161.0ms (2%)

Memory

4.9MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
7 910×	`lower-*.f64`
7 910×	`lower-*.f32`
2 502×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	3466
1	1767	3443
2	6210	3400
0	8259	3230

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))

Outputs
(* -3/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 c #s(literal -9/8 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 c #s(literal -9/8 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c)))) c)
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 c a))
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))) c)
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64)))) c)
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))))) c)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c)
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (neg.f64 b)) (neg.f64 c))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite135.0ms (1.7%)

Memory

4.3MiB live, 125.9MiB allocated

Rules

4 876×	`lower-fma.f64`
4 876×	`lower-fma.f32`
3 870×	`lower-*.f32`
3 864×	`lower-*.f64`
2 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44

Stop Event

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

Counts

5 → 440

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Outputs
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eval79.0ms (1%)

Memory: -16.5MiB live, 134.2MiB allocated
Compiler: Compiled 18 877 to 2 169 computations (88.5% saved)

prune21.0ms (0.3%)

Memory

8.2MiB live, 47.5MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	579	14	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	580	14	594

Accuracy

92.8%

Counts

594 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))
▶	48.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
	47.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
▶	26.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
▶	14.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
	48.4%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
	33.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
	36.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	48.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	48.4%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
▶	35.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
▶	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

Compiler

Compiled 366 to 318 computations (13.1% saved)

simplify140.0ms (1.8%)

Memory

22.5MiB live, 97.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
cost-diff	832	(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
cost-diff	0	#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
cost-diff	0	(/.f64 b a)
cost-diff	0	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
cost-diff	0	(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))

Rules

5 340×	`lower-*.f32`
5 326×	`lower-*.f64`
4 016×	`lower-fma.f32`
4 010×	`lower-fma.f64`
1 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	330
0	73	330
1	133	315
2	271	315
3	606	315
4	1134	311
5	1962	311
6	3486	311
7	5743	311
8	6863	311
9	7641	311
10	7721	311
11	7880	311
0	9105	309

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)))
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))
(fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)
(*.f64 c #s(literal -3/2 binary64))
c
#s(literal -3/2 binary64)
(/.f64 a b)
a
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
(neg.f64 b)
b
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a

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

localize139.0ms (1.8%)

Memory

8.5MiB live, 165.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 (/.f64 c b) b)
accuracy	0.29296875	(/.f64 #s(literal 2/3 binary64) a)
accuracy	5.121655718611171	(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
accuracy	40.89652891385871	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
accuracy	1.4907697859626654	(fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)
accuracy	2.5733469079856657	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
accuracy	14.791462095464276	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)))
accuracy	40.5010276077292	#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))
accuracy	2.5733469079856657	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
accuracy	14.791462095464276	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
accuracy	16.537358778836328	#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
accuracy	28.54723876906477	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
accuracy	0	(/.f64 b a)
accuracy	0.34375	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
accuracy	40.7573017998855	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
accuracy	0.07421875	(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
accuracy	2.5733469079856657	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
accuracy	14.791462095464276	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	28.54723876906477	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))

Samples

61.0ms	166×	0	valid
25.0ms	42×	2	valid
22.0ms	43×	1	valid
4.0ms	5×	3	valid

Compiler

Compiled 276 to 38 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 26.0ms (30.9% of total)

ival-mult: 25.0ms (29.7% of total)

const: 8.0ms (9.5% of total)

ival-add: 7.0ms (8.3% of total)

adjust: 6.0ms (7.1% of total)

ival-sqrt: 6.0ms (7.1% of total)

ival-sub: 5.0ms (5.9% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series85.0ms (1.1%)

Memory

-34.9MiB live, 87.2MiB allocated

Counts

21 → 672

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2/3 binary64) (/.f64 b a)) (patch (.f64 #s(literal -2/3 binary64) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) (patch (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2/3 binary64) a) (patch (/.f64 #s(literal 2/3 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor inf c) (#s(alt (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) (patch (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) (taylor inf c) (#s(alt (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) (patch (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) (taylor inf c) (#s(alt (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) (patch (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) (taylor inf c) (#s(alt (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) (patch (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) (patch (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) a) (patch (/.f64 #s(literal 2/3 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) a) (patch (/.f64 #s(literal 2/3 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) a) (patch (/.f64 #s(literal 2/3 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) a) (patch (/.f64 #s(literal 2/3 binary64) a) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	c	@	0	((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (- (* b b) (* (* 3 a) c)) (+ (* (* c -3/2) (/ a b)) b) (/ 2/3 a) (/ (/ c b) b))
6.0ms	b	@	-inf	((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (- (* b b) (* (* 3 a) c)) (+ (* (* c -3/2) (/ a b)) b) (/ 2/3 a) (/ (/ c b) b))
4.0ms	c	@	inf	((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (- (* b b) (* (* 3 a) c)) (+ (* (* c -3/2) (/ a b)) b) (/ 2/3 a) (/ (/ c b) b))
3.0ms	b	@	inf	((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (- (* b b) (* (* 3 a) c)) (+ (* (* c -3/2) (/ a b)) b) (/ 2/3 a) (/ (/ c b) b))
3.0ms	b	@	0	((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (- (* b b) (* (* 3 a) c)) (+ (* (* c -3/2) (/ a b)) b) (/ 2/3 a) (/ (/ c b) b))

simplify231.0ms (2.9%)

Memory

17.6MiB live, 253.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 590×	`lower-fma.f64`
11 590×	`lower-fma.f32`
8 146×	`lower-*.f64`
8 146×	`lower-*.f32`
3 130×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	13494
1	1963	13403
2	6585	13257
0	8074	12609

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 659

Calls

Call 1

Inputs
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/2 (/ c (pow b 2)))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c (pow b 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -3/2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c (pow b 2)))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -3/2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)

Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) c) a) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/2 (/ (* a c) b))
(.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) c) a) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/2 (/ (* a c) b))
(.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) c) a) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
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(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 #s(literal 1/3 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* 1/2 (/ c b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 #s(literal 1/3 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* -1/2 (/ c (pow b 2)))
(*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* -3/2 (/ (* a c) b))
(.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)))
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)

rewrite172.0ms (2.2%)

Memory

5.1MiB live, 236.9MiB allocated

Rules

4 822×	`lower-/.f32`
4 806×	`lower-/.f64`
4 242×	`lower-*.f32`
4 228×	`lower-*.f64`
3 480×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	278
0	73	278
1	277	263
2	2209	263
0	8510	263

Stop Event

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

Counts

21 → 863

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)
(/.f64 #s(literal 2/3 binary64) a)
(/.f64 (/.f64 c b) b)

Outputs
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eval277.0ms (3.5%)

Memory: 30.7MiB live, 302.8MiB allocated
Compiler: Compiled 39 205 to 4 237 computations (89.2% saved)

prune333.0ms (4.2%)

Memory

-193.5MiB live, 140.5MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 547	21	1 568
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	1 555	27	1 582

Accuracy

92.9%

Counts

1 582 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))
	26.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
	22.5%	(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
	47.2%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) a) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 3 binary64) b)) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	48.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
	26.4%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	47.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
▶	25.2%	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	23.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
▶	48.4%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
▶	14.6%	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
	33.4%	(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) (*.f64 a #s(literal 3 binary64)))
	48.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	48.4%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	14.6%	(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)) #s(literal -1 binary64)))
	37.2%	#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b)) (neg.f64 b)) (/.f64 a (.f64 #s(literal -2/3 binary64) b)) (.f64 b #s(literal 1 binary64))) (.f64 b (/.f64 a (.f64 #s(literal -2/3 binary64) b)))))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
	18.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) (fma.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 b c) b)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
▶	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
✓	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	35.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)))
▶	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

Compiler

Compiled 731 to 599 computations (18.1% saved)

simplify128.0ms (1.6%)

Memory

4.3MiB live, 76.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))))
cost-diff	2560	(.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))
cost-diff	0	#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b))
cost-diff	0	(-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)
cost-diff	0	(.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
cost-diff	0	#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
cost-diff	0	#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
cost-diff	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)

Rules

3 984×	`lower-fma.f32`
3 980×	`lower-fma.f64`
2 998×	`lower-*.f32`
2 978×	`lower-*.f64`
1 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	500
0	85	449
1	144	433
2	296	431
3	668	431
4	1228	427
5	2114	427
6	3775	427
7	5923	427
8	7047	427
9	7820	427
10	7924	427
0	8012	422

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))
a
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
(*.f64 b b)
b
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))
(neg.f64 b)
b
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
#s(literal -1/2 binary64)
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64))
(-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b))
(fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)
(/.f64 a b)
a
b
(*.f64 #s(literal -3/2 binary64) c)
#s(literal -3/2 binary64)
c
#s(literal 1/3 binary64)
(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))))
(neg.f64 b)
b
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))
(sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a

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

localize208.0ms (2.6%)

Memory

5.8MiB live, 261.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.5733469079856657	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
accuracy	14.791462095464276	(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))))
accuracy	16.537358778836328	#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
accuracy	28.54723876906477	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
accuracy	1.4907697859626654	(fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)
accuracy	2.5538156579856657	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
accuracy	14.791462095464276	(-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)
accuracy	40.5010276077292	#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b))
accuracy	0.12890625	(/.f64 (/.f64 c b) b)
accuracy	5.121655718611171	(.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))
accuracy	40.89652891385871	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
accuracy	42.67549802603973	#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b)
accuracy	0.22265625	(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
accuracy	40.89652891385871	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
accuracy	43.18663306834266	#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
accuracy	0.3046875	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64))
accuracy	2.5538156579856657	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
accuracy	14.791462095464276	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
accuracy	28.54723876906477	(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))

Samples

77.0ms	43×	1	valid
55.0ms	166×	0	valid
33.0ms	42×	2	valid
11.0ms	5×	3	valid

Compiler

Compiled 370 to 46 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 32.0ms (32.5% of total)

ival-div: 19.0ms (19.3% of total)

ival-add: 13.0ms (13.2% of total)

const: 10.0ms (10.2% of total)

ival-sqrt: 9.0ms (9.1% of total)

adjust: 8.0ms (8.1% of total)

ival-sub: 6.0ms (6.1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series106.0ms (1.3%)

Memory

-28.1MiB live, 89.4MiB allocated

Counts

23 → 756

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) b) (patch (/.f64 #s(literal 1/2 binary64) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor 0 c) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 a) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) (taylor inf c) (#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf c) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor 0 a) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) (taylor 0 a) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) (taylor 0 a) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) (taylor 0 a) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) (taylor 0 a) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) (taylor 0 a) (#s(alt (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) (patch (.f64 (neg.f64 b) #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (patch #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) b) (patch (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b)) (patch #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b))))) (patch (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
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#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) (patch (fma.f64 (/.f64 a b) (.f64 #s(literal -3/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	b	@	-inf	((/ (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (* (/ 1/2 b) c) (/ 1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (/ (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (* 3 a)) (/ (/ c b) b) (+ (* (/ a b) (* -3/2 c)) b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)))
6.0ms	c	@	inf	((/ (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (* (/ 1/2 b) c) (/ 1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (/ (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (* 3 a)) (/ (/ c b) b) (+ (* (/ a b) (* -3/2 c)) b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)))
3.0ms	b	@	inf	((/ (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (* (/ 1/2 b) c) (/ 1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (/ (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (* 3 a)) (/ (/ c b) b) (+ (* (/ a b) (* -3/2 c)) b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)))
3.0ms	c	@	-inf	((/ (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (* (/ 1/2 b) c) (/ 1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (/ (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (* 3 a)) (/ (/ c b) b) (+ (* (/ a b) (* -3/2 c)) b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)))
3.0ms	a	@	inf	((/ (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* a (* c -3)) (* b b))) b) 1/3) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (* (/ 1/2 b) c) (/ 1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (/ (+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c)))))) (* 3 a)) (/ (/ c b) b) (+ (* (/ a b) (* -3/2 c)) b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)))

simplify220.0ms (2.8%)

Memory

28.3MiB live, 222.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 594×	`lower-fma.f64`
10 594×	`lower-fma.f32`
8 204×	`lower-*.f64`
8 204×	`lower-*.f32`
3 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	16644
1	2374	16531
0	8033	15739

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 740

Calls

Call 1

Inputs
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (* a c)) (sqrt -3))
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(* (sqrt (* a c)) (sqrt -3))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
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(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
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(* -3 (* a c))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
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(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1/2 (/ c (pow b 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -3/2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1/2 (/ c (pow b 2)))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ (* a c) b))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ (* a c) b))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
b
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
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(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
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(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
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(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(* -1/2 (/ c b))
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(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
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b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
b
(+ b (* -3/2 (/ (* a c) b)))
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(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
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(+ (* -3 (* a c)) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -3/2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))

Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 c a)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64)) c (.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* -3/2 (/ (* a c) b))
(.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -27/16 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -27/16 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))))) c (.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 c a)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(* 1/2 (/ c b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(* 1/2 (/ c b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(* 1/2 (/ c b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(* 1/2 (/ c b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 c a)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 c a)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64)) c (.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* -3/2 (/ (* a c) b))
(.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -27/16 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -27/16 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))))) c (.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
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(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a)))))

rewrite158.0ms (2%)

Memory

-6.2MiB live, 220.4MiB allocated

Rules

4 454×	`lower-/.f32`
4 440×	`lower-/.f64`
4 124×	`lower-*.f32`
4 104×	`lower-*.f64`
3 398×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	428
0	85	377
1	289	362
2	2192	362
0	8276	357

Stop Event

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

Counts

23 → 552

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) c)
(/.f64 #s(literal 1/2 binary64) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))))
(neg.f64 b)
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64))
(-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)))))
(+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))))))
(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 c b) b)
(fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))

Outputs
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eval222.0ms (2.8%)

Memory: 25.4MiB live, 299.0MiB allocated
Compiler: Compiled 37 889 to 3 939 computations (89.6% saved)

prune57.0ms (0.7%)

Memory

2.6MiB live, 130.8MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 403	11	1 414
Fresh	5	15	20
Picked	3	2	5
Done	0	2	2
Total	1 411	30	1 441

Accuracy

92.9%

Counts

1 441 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
	48.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))
▶	48.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a)
▶	26.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
▶	22.5%	(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
	47.2%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) a) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 3 binary64) b)) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	48.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
	26.4%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	23.2%	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (.f64 (neg.f64 b) (fma.f64 (.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64))))))) (*.f64 #s(literal 3 binary64) a))
	22.7%	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (neg.f64 b))))) (*.f64 #s(literal 3 binary64) a))
	23.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
✓	48.4%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
✓	14.6%	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
	33.3%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
	30.3%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
	36.2%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
	48.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	48.4%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	14.6%	(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)) #s(literal -1 binary64)))
	37.2%	#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b)) (neg.f64 b)) (/.f64 a (.f64 #s(literal -2/3 binary64) b)) (.f64 b #s(literal 1 binary64))) (.f64 b (/.f64 a (.f64 #s(literal -2/3 binary64) b)))))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
	14.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
	7.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b (/.f64 c b))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
✓	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
▶	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
▶	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))

Compiler

Compiled 785 to 653 computations (16.8% saved)

simplify157.0ms (2%)

Memory

-23.0MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 c #s(literal -3 binary64))
cost-diff	0	(fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))
cost-diff	896	(-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (*.f64 b b))
cost-diff	1152	(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a)
cost-diff	384	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
cost-diff	0	(/.f64 b (*.f64 #s(literal 1/2 binary64) c))
cost-diff	0	#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) c)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
cost-diff	0	#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64))
cost-diff	384	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a)

Rules

7 366×	`lower-fma.f32`
7 362×	`lower-fma.f64`
3 382×	`lower-*.f32`
3 370×	`lower-*.f64`
1 870×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	401
0	77	395
1	157	376
2	359	368
3	849	365
4	2476	353
5	5864	353
0	8204	349

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))
#s(literal 1 binary64)
(/.f64 b (*.f64 #s(literal 1/2 binary64) c))
b
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
c
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
b
a
#s(literal 3 binary64)
(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
(-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (*.f64 b b))
(fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))
a
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
(*.f64 b b)
b
(.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))

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

localize188.0ms (2.4%)

Memory

13.3MiB live, 221.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	16.620837641214973	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
accuracy	17.389815567498033	(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
accuracy	28.54723876906477	(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))
accuracy	39.512736620772024	(-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (*.f64 b b))
accuracy	2.4489391388943127	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a)
accuracy	14.791462095464276	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b)
accuracy	16.537358778836328	#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
accuracy	28.54723876906477	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) c)
accuracy	0.483747128972117	(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))
accuracy	40.89652891385871	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
accuracy	43.18663306834266	#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
accuracy	0	(*.f64 #s(literal 1/2 binary64) c)
accuracy	40.89652891385871	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
accuracy	43.18663306834266	#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
accuracy	0.12109375	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64))
accuracy	2.5538156579856657	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a)
accuracy	14.791462095464276	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	28.54723876906477	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))

Samples

66.0ms	96×	1	valid
49.0ms	70×	2	valid
28.0ms	79×	0	valid
11.0ms	11×	3	valid

Compiler

Compiled 337 to 47 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 30.0ms (25.8% of total)

ival-add: 25.0ms (21.5% of total)

ival-mult: 19.0ms (16.3% of total)

adjust: 16.0ms (13.7% of total)

ival-sqrt: 11.0ms (9.4% of total)

ival-sub: 8.0ms (6.9% of total)

const: 6.0ms (5.2% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series75.0ms (0.9%)

Memory

-4.2MiB live, 117.0MiB allocated

Counts

23 → 744

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) c) (patch (.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) (patch (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())
#s(alt (/.f64 b (.f64 #s(literal 1/2 binary64) c)) (patch (/.f64 b (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) (patch (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (patch (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (patch (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 c #s(literal -3 binary64)) (patch (.f64 c #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal 1/2 binary64) c) (patch (.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal 1/2 binary64) c) (patch (.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal 1/2 binary64) c) (patch (.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal 1/2 binary64) c) (patch (.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) (patch (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) (patch (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) (patch (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) (patch (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c))))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) (taylor 0 c) (#s(alt #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx ( (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 b (.f64 #s(literal 1/2 binary64) c)) (patch (/.f64 b (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 b (.f64 #s(literal 1/2 binary64) c)) (patch (/.f64 b (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 b (.f64 #s(literal 1/2 binary64) c)) (patch (/.f64 b (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 b (.f64 #s(literal 1/2 binary64) c)) (patch (/.f64 b (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) (patch (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) (patch (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) (patch (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) (patch (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) (patch (/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (patch (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (patch (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (patch (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (patch (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (patch (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (patch (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (patch (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (patch (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)) (patch #s(approx (- ( b b) (* (* 3 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) a) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (* 1/2 c) b) (* 1/2 c) (/ 1 (/ b (* 1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ b (* 1/2 c)) (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (+ (* a (* c -3)) (* b b)) (* b b)) (* (* 3 a) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))) (- (+ (* a (* c -3)) (* b b)) (* b b)) (+ (* a (* c -3)) (* b b)) (* c -3) (- (* b b) (* (* 3 a) c)) (sqrt (+ (* a (* c -3)) (* b b))) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))
6.0ms	a	@	inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) a) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (* 1/2 c) b) (* 1/2 c) (/ 1 (/ b (* 1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ b (* 1/2 c)) (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (+ (* a (* c -3)) (* b b)) (* b b)) (* (* 3 a) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))) (- (+ (* a (* c -3)) (* b b)) (* b b)) (+ (* a (* c -3)) (* b b)) (* c -3) (- (* b b) (* (* 3 a) c)) (sqrt (+ (* a (* c -3)) (* b b))) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))
5.0ms	b	@	0	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) a) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (* 1/2 c) b) (* 1/2 c) (/ 1 (/ b (* 1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ b (* 1/2 c)) (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (+ (* a (* c -3)) (* b b)) (* b b)) (* (* 3 a) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))) (- (+ (* a (* c -3)) (* b b)) (* b b)) (+ (* a (* c -3)) (* b b)) (* c -3) (- (* b b) (* (* 3 a) c)) (sqrt (+ (* a (* c -3)) (* b b))) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))
5.0ms	c	@	-inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) a) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (* 1/2 c) b) (* 1/2 c) (/ 1 (/ b (* 1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ b (* 1/2 c)) (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (+ (* a (* c -3)) (* b b)) (* b b)) (* (* 3 a) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))) (- (+ (* a (* c -3)) (* b b)) (* b b)) (+ (* a (* c -3)) (* b b)) (* c -3) (- (* b b) (* (* 3 a) c)) (sqrt (+ (* a (* c -3)) (* b b))) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))
4.0ms	a	@	-inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) a) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ (* 1/2 c) b) (* 1/2 c) (/ 1 (/ b (* 1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/ b (* 1/2 c)) (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (+ (* a (* c -3)) (* b b)) (* b b)) (* (* 3 a) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))) (- (+ (* a (* c -3)) (* b b)) (* b b)) (+ (* a (* c -3)) (* b b)) (* c -3) (- (* b b) (* (* 3 a) c)) (sqrt (+ (* a (* c -3)) (* b b))) (+ (sqrt (+ (* a (* c -3)) (* b b))) b))

simplify218.0ms (2.7%)

Memory

-9.9MiB live, 336.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 746×	`lower-fma.f64`
7 746×	`lower-fma.f32`
6 890×	`lower-*.f64`
6 890×	`lower-*.f32`
5 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1114	15659
1	3708	15401
0	8158	14703

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 735

Calls

Call 1

Inputs
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 c)
(* -3 c)
(* -3 c)
(* -3 c)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* 2 b)
(+ (* -3/2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 c)
(* -3 c)
(* -3 c)
(* -3 c)
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
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(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
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(* 2 (/ b c))
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(* 2 (/ b c))
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(* -3 (* a c))
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(* -3 (* a c))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 c)
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(* -3 c)
(* -3 (* a c))
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(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
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(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* 2 (/ b c))
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(* 2 (/ b c))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (* a c)) (sqrt -3))
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(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
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(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ b (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ (* a c) b))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 b)
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* 2 (/ b c))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3/2 (/ (* a c) b))
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* 2 b)
(+ (* -3/2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))

Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)
(* -3/2 (/ (* a c) b))
(.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c b)))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
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(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
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(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal 3 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (.f64 a c)) (/.f64 (-.f64 (/.f64 (.f64 a b) #s(literal -3 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (.f64 (/.f64 (.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)) a)) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (.f64 a c)) (/.f64 (-.f64 (/.f64 (.f64 a b) #s(literal -3 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (.f64 (/.f64 (.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (.f64 (/.f64 (.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 (.f64 a a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) (neg.f64 a))) a)) a))) (neg.f64 a))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (.f64 b b) a))))
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) a)) (neg.f64 a))))

rewrite187.0ms (2.4%)

Memory

15.1MiB live, 215.3MiB allocated

Rules

4 896×	`lower-*.f32`
4 884×	`lower-*.f64`
4 820×	`lower-/.f32`
4 804×	`lower-/.f64`
3 504×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	340
0	77	321
1	336	307
2	2543	307
0	9073	302

Stop Event

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

Counts

23 → 1 020

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 #s(literal 1/2 binary64) c)
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
#s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 b (*.f64 #s(literal 1/2 binary64) c))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
(-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (*.f64 b b))
(fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))
(*.f64 c #s(literal -3 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))
(+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)

Outputs
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eval290.0ms (3.6%)

Memory: 28.6MiB live, 365.3MiB allocated
Compiler: Compiled 59 222 to 5 181 computations (91.3% saved)

prune111.0ms (1.4%)

Memory

-27.9MiB live, 200.3MiB allocated

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	1 883	16	1 899
Fresh	5	16	21
Picked	3	2	5
Done	0	4	4
Total	1 891	38	1 929

Accuracy

93.0%

Counts

1 929 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.3%	(/.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
	46.1%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64) (neg.f64 (*.f64 b #s(literal 1/3 binary64)))) a)
✓	48.4%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal 3 binary64)) a)
	30.8%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))
	36.2%	(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))
	36.2%	(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)
	35.9%	(/.f64 (/.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (.f64 (neg.f64 b) (fma.f64 (.f64 #s(literal -3/2 binary64) (/.f64 a b)) (/.f64 c b) #s(literal 2 binary64)))) a) #s(literal 3 binary64))
	33.3%	(/.f64 (/.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 3 binary64))
	21.7%	(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) b)))
✓	48.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
	26.4%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	23.2%	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (.f64 (neg.f64 b) (fma.f64 (.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64))))))) (*.f64 #s(literal 3 binary64) a))
	22.7%	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b b)))) (sqrt.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (neg.f64 b))))) (*.f64 #s(literal 3 binary64) a))
	23.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
✓	48.4%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
✓	14.6%	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
	33.3%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
	37.1%	(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
	35.9%	(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 c b) #s(literal 2/3 binary64)))) a)
	36.2%	(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
	42.6%	(/.f64 #s(approx (- (+ (* a (* c -3)) (* b b)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c))) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)))
	30.3%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
	48.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	48.4%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	14.6%	(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b)) #s(literal -1 binary64)))
	37.2%	#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b)) (neg.f64 b)) (/.f64 a (.f64 #s(literal -2/3 binary64) b)) (.f64 b #s(literal 1 binary64))) (.f64 b (/.f64 a (.f64 #s(literal -2/3 binary64) b)))))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
	36.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
	14.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
	7.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b (/.f64 c b))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
✓	36.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) c))))
✓	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
	14.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))

Compiler

Compiled 1 368 to 714 computations (47.8% saved)

regimes109.0ms (1.4%)

Memory

-4.2MiB live, 184.6MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

5 calls:

28.0ms	a
21.0ms	(*.f64 #s(literal 3 binary64) a)
21.0ms	c
18.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
17.0ms	b

Results

Accuracy	Segments	Branch
50.8%	2	`a`
88.9%	3	`b`
52.3%	3	`c`
72.8%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
50.8%	2	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes15.0ms (0.2%)

Memory

3.1MiB live, 42.1MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 3 binary64))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))

Outputs

(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))

(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 3 binary64))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)

Outputs

(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))

(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

-14.9MiB live, 24.0MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 3 binary64))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))

Outputs

(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))

(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

-21.9MiB live, 24.9MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 3 binary64))

Outputs

(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))

(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 (.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)))

Outputs

(/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
71.0%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-27.7MiB live, 11.6MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) c)))))
(/.f64 #s(approx (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a)

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64))))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
71.0%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.9%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.9%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

Calls

5 calls:

2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	c
2.0ms	a
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
36.1%	1	`c`
36.1%	1	`a`
36.1%	1	`(*.f64 #s(literal 3 binary64) a)`
36.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
47.5%	2	`b`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes18.0ms (0.2%)

Memory

-25.5MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

Calls

5 calls:

11.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	c
2.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
14.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
14.5%	1	`a`
14.5%	1	`(*.f64 #s(literal 3 binary64) a)`
14.5%	1	`c`
14.5%	1	`b`

Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch115.0ms (1.5%)

Memory

2.2MiB live, 41.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
22.0ms	1.1587195807138813e-59	1.6747753641038477e-56
11.0ms	-7.388823364150479e+127	-4.2143273342260946e+115

Samples

12.0ms	170×	0	valid
4.0ms	34×	1	valid
4.0ms	20×	2	valid
3.0ms	36×	0	invalid

Compiler

Compiled 360 to 324 computations (10% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (31.5% of total)

ival-div: 2.0ms (12.6% of total)

ival-sub: 2.0ms (12.6% of total)

ival-sqrt: 2.0ms (12.6% of total)

ival-add: 2.0ms (12.6% of total)

adjust: 1.0ms (6.3% of total)

ival-neg: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.1587195807138813e-59	1.6747753641038477e-56
1.0ms	-7.388823364150479e+127	-4.2143273342260946e+115

Compiler

Compiled 332 to 324 computations (2.4% saved)

bsearch17.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1587195807138813e-59	1.6747753641038477e-56
14.0ms	-9.752587823054553e+155	-1.7051545718782915e+152

Samples

9.0ms	128×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 380 to 370 computations (2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (33% of total)

ival-div: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

ival-sub: 1.0ms (16.5% of total)

ival-sqrt: 1.0ms (16.5% of total)

ival-neg: 1.0ms (16.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1587195807138813e-59	1.6747753641038477e-56
8.0ms	-7.388823364150479e+127	-4.2143273342260946e+115

Samples

5.0ms	64×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 428 to 416 computations (2.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (31.6% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch78.0ms (1%)

Memory

-6.1MiB live, 35.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1587195807138813e-59	1.6747753641038477e-56
73.0ms	-2.3104990187186002e-122	-6.429199079667442e-144

Samples

52.0ms	54×	0	invalid
13.0ms	176×	0	valid

Compiler

Compiled 414 to 439 computations (-6% saved)

Precisions

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

ival-mult: 4.0ms (36.9% of total)

ival-sqrt: 2.0ms (18.4% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch75.0ms (0.9%)

Memory

-11.4MiB live, 27.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
72.0ms	-3.5248097874278503e-305	2.865474662229763e-308

Samples

57.0ms	52×	0	invalid
9.0ms	128×	0	valid

Compiler

Compiled 140 to 162 computations (-15.7% saved)

Precisions

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

ival-mult: 56.0ms (91.5% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.5248097874278503e-305	2.865474662229763e-308

Compiler

Compiled 124 to 154 computations (-24.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.5248097874278503e-305	2.865474662229763e-308

Compiler

Compiled 116 to 146 computations (-25.9% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.5248097874278503e-305	2.865474662229763e-308

Compiler

Compiled 116 to 146 computations (-25.9% saved)

bsearch77.0ms (1%)

Memory

-10.6MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
75.0ms	4.586182488579218e+74	2.6055179927905795e+75

Samples

61.0ms	39×	1	valid
8.0ms	42×	2	valid
1.0ms	12×	0	valid
1.0ms	3×	3	valid
0.0ms	4×	0	invalid

Compiler

Compiled 98 to 120 computations (-22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 57.0ms (85.7% of total)

ival-mult: 3.0ms (4.5% of total)

adjust: 2.0ms (3% of total)

ival-div: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify109.0ms (1.4%)

Memory

12.0MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`-commutative-binary64-.f64`
28×	`+-commutative-binary64-+.f64`
26×	`sub-neg-binary64-neg.f64-+.f64--.f64`
18×	`neg-sub0-binary64--.f64-neg.f64`
18×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	634
1	129	633
2	155	633
3	175	633
4	188	633
5	194	633
6	195	633

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -5199999999999999775328839517829962696496529116220877815247742974582614215042814372406793441299907178101189990616781951839794851844501095962862062160314368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2049999999999999970653782771482694317319750504394777708519285624873261031466172212214536071743321417477853919133564928 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -8559252817305067/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (.f64 a #s(literal 3/2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 459999999999999970225644451828827193668954709844661734446324837555948748800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

Outputs
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal 3 binary64)) c))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -5199999999999999775328839517829962696496529116220877815247742974582614215042814372406793441299907178101189990616781951839794851844501095962862062160314368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -5199999999999999775328839517829962696496529116220877815247742974582614215042814372406793441299907178101189990616781951839794851844501095962862062160314368 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2049999999999999970653782771482694317319750504394777708519285624873261031466172212214536071743321417477853919133564928 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2049999999999999970653782771482694317319750504394777708519285624873261031466172212214536071743321417477853919133564928 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -8559252817305067/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -8559252817305067/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (.f64 a #s(literal 3/2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (.f64 #s(literal 3/2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal 459999999999999970225644451828827193668954709844661734446324837555948748800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))))
(if (<=.f64 b #s(literal 459999999999999970225644451828827193668954709844661734446324837555948748800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)))

soundness964.0ms (12.1%)

Memory

6.5MiB live, 723.7MiB allocated

Rules

11 590×	`lower-fma.f64`
11 590×	`lower-fma.f32`
10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
8 146×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	13494
1	1963	13403
2	6585	13257
0	8074	12609
0	45	278
0	73	278
1	277	263
2	2209	263
0	8510	263
0	560	3466
1	1767	3443
2	6210	3400
0	8259	3230
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44
0	1114	15659
1	3708	15401
0	8158	14703

Stop Event

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

Compiler

Compiled 788 to 465 computations (41% saved)

preprocess78.0ms (1%)

Memory: -8.9MiB live, 108.2MiB allocated
Compiler: Compiled 596 to 188 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze203.0ms (2.6%)

sample1.5s (18.3%)

explain176.0ms (2.2%)

preprocess129.0ms (1.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify66.0ms (0.8%)

localize51.0ms (0.6%)

series26.0ms (0.3%)

simplify161.0ms (2%)

rewrite135.0ms (1.7%)

eval79.0ms (1%)

prune21.0ms (0.3%)

simplify140.0ms (1.8%)

localize139.0ms (1.8%)

series85.0ms (1.1%)

simplify231.0ms (2.9%)

rewrite172.0ms (2.2%)

eval277.0ms (3.5%)

prune333.0ms (4.2%)

simplify128.0ms (1.6%)

localize208.0ms (2.6%)

series106.0ms (1.3%)

simplify220.0ms (2.8%)

rewrite158.0ms (2%)

eval222.0ms (2.8%)

prune57.0ms (0.7%)

simplify157.0ms (2%)

localize188.0ms (2.4%)

series75.0ms (0.9%)

simplify218.0ms (2.7%)

rewrite187.0ms (2.4%)

eval290.0ms (3.6%)

prune111.0ms (1.4%)

regimes109.0ms (1.4%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch115.0ms (1.5%)

bsearch2.0ms (0%)

bsearch17.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch78.0ms (1%)

bsearch75.0ms (0.9%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch77.0ms (1%)

simplify109.0ms (1.4%)

soundness964.0ms (12.1%)

preprocess78.0ms (1%)

end0.0ms (0%)

Profiling