Metrics for Cubic critical

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze126.0ms (1.1%)

Memory

15.0MiB live, 209.8MiB 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)

sample2.1s (18.2%)

Memory

-140.4MiB live, 2 458.1MiB allocated

Samples

998.0ms	5 484×	0	valid
294.0ms	1 221×	2	valid
241.0ms	1 371×	1	valid
79.0ms	958×	0	invalid
45.0ms	180×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 702.0ms (54.6% of total)

ival-add: 119.0ms (9.2% of total)

ival-sqrt: 110.0ms (8.5% of total)

ival-div: 94.0ms (7.3% of total)

ival-sub: 92.0ms (7.2% of total)

adjust: 79.0ms (6.1% of total)

ival-neg: 74.0ms (5.8% of total)

ival-true: 7.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain189.0ms (1.6%)

Memory

-24.8MiB live, 317.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
116	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
47	2	(-40195.16889679597 4.167602474522777e+127 6.208627499812578e-201)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
20	0	-	2	(-7.793934554609268e-32 1.955431158169092e+31 -1.0008863980190925e-260)	`(/.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	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`c`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`b`
0	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	112	0
↳	`(*.f64 b b)`	overflow	95
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	26
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	112
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	49	0
`/.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	18	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	38
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
↳	`(*.f64 b b)`	underflow	42
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	30
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	42
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	38
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	95
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	26

Confusion

	Predicted +	Predicted -
+	131	0
-	20	105

Precision

0.8675496688741722

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	20	0	105

Precision?

0.8675496688741722

Recall?

1.0

Freqs

test

number	freq
0	105
1	117
2	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	358×	0	valid
22.0ms	76×	2	valid
11.0ms	68×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions

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

ival-sub: 17.0ms (31.1% of total)

ival-mult: 12.0ms (21.9% of total)

ival-div: 8.0ms (14.6% of total)

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

adjust: 5.0ms (9.1% of total)

ival-add: 4.0ms (7.3% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess122.0ms (1.1%)

Memory

10.2MiB live, 132.0MiB 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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.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 20 to 12 computations (40% saved)

simplify86.0ms (0.7%)

Memory

-2.0MiB live, 77.6MiB 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 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))
(*.f64 b b)
(.f64 (.f64 #s(literal 3 binary64) a) c)
(.f64 #s(literal 3 binary64) (.f64 a c))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c

localize46.0ms (0.4%)

Memory

6.3MiB live, 81.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.41015625000000006	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy	4.860970486636079	(/.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	10.72713342416287	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy	27.023676345016877	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

16.0ms	179×	0	valid
8.0ms	38×	2	valid
5.0ms	34×	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: 18.0ms

ival-mult: 5.0ms (27.9% of total)

ival-sqrt: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

ival-div: 2.0ms (11.2% of total)

adjust: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

ival-neg: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

4.2MiB live, 43.5MiB 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 (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#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 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#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 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#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 (+ (* 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))) (taylor 0 b) (#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 (* -3/2 (/ (* a c) b)) (taylor inf b) (#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 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#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 (/ (+ (* -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) (taylor inf b) (#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 (/ (+ (* -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) (taylor inf b) (#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 (* -2 b) (taylor -inf b) (#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 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#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 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#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 (* 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)))))))) (taylor -inf b) (#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 (* -3/2 (/ (* a c) b)) (taylor 0 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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 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 (* 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 (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 (* 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 (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 (* (sqrt (* a c)) (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>) () ())) ())
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#s(alt b (taylor inf b) (#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 (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#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 (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#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 (+ 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))))))) (taylor inf b) (#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 b) (taylor -inf b) (#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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#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 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#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 (* 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)))))))) (taylor -inf b) (#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 (taylor 0 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 (+ b (* -3/2 (/ (* a c) b))) (taylor 0 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 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 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 (+ 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 (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 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 (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>) () ())) ())
#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 (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 (* 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 (-.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 (* 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 (-.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 (* 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 (-.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 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 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf 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 (* -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))))))) (taylor -inf 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 (* -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)))))))) (taylor -inf 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>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
2.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms	a	@	-inf	(sqrt (- (* b b) (* (* 3 a) c)))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify342.0ms (3%)

Memory

15.7MiB live, 413.0MiB 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	6215	3400
0	8264	3230

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* (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)))
(* -3/2 (/ (* 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)
(* -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))))))))
(* -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))))))))
(* (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 (* (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))))))
(* -3/2 (/ (* 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))))))))
(* (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 (* (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))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 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)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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 (* 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))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (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 (* 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)))))
(* -1/2 (/ 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))
(* -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)))))))
(* -1/2 (/ 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)))))))
(* 1/3 (* (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 (/ 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))
(* 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))))
(* 1/3 (* (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 (/ 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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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)))))))))
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 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))))))))
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 (+ (* 1/2 (* (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 (+ (* 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))))))))
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 (+ (* 1/2 (* (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 (+ (* 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))))))))

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

rewrite221.0ms (1.9%)

Memory

9.6MiB live, 398.4MiB 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
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
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(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64)))
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(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 #s(literal -1/3 binary64) a))
(.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 b (.f64 b (.f64 b b)) (fma.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))))))
(.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 #s(literal 3 binary64) a)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
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b
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (.f64 b (.f64 b b)) (*.f64 b b))
(/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal 0 binary64))
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(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 0 binary64))
(/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 #s(literal 3 binary64) (.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))))
(/.f64 (fma.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 a c)) (.f64 a c) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

eval103.0ms (0.9%)

Memory: -28.9MiB live, 182.4MiB allocated
Compiler: Compiled 22 670 to 2 107 computations (90.7% saved)

prune104.0ms (0.9%)

Memory

23.9MiB live, 219.1MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	576	17	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	17	594

Accuracy

92.0%

Counts

594 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.3%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
▶	50.8%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
▶	50.8%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	50.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	34.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	50.8%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	22.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	37.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
▶	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
	33.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 a #s(literal -3 binary64))))
	33.8%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	33.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
	50.8%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	32.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
▶	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
▶	36.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	31.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))

Compiler

Compiled 646 to 406 computations (37.2% saved)

simplify265.0ms (2.3%)

Memory

-3.3MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
cost-diff	0	(*.f64 #s(literal 3 binary64) a)
cost-diff	0	(/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
cost-diff	0	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
cost-diff	0	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
cost-diff	448	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
cost-diff	0	(*.f64 b #s(literal -2/3 binary64))
cost-diff	0	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
cost-diff	0	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
cost-diff	384	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))

Rules

3 752×	`lower-fma.f32`
3 748×	`lower-fma.f64`
2 798×	`lower-*.f32`
2 788×	`lower-*.f64`
1 260×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	304
0	62	304
1	114	298
2	228	298
3	479	298
4	1095	298
5	2572	294
6	4184	294
7	5154	294
8	5636	294
9	5805	294
10	5814	294
11	5824	294
12	6188	294
13	6344	294
14	6346	294
15	6346	294
16	6997	294
17	7370	294
18	7528	294
19	7984	294
0	8021	292

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.2%)

Memory

-30.9MiB live, 337.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3883309700646096	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
accuracy	3.457685492718069	(/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
accuracy	12.698482838284034	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
accuracy	27.023676345016842	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
accuracy	0.06640625	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
accuracy	4.860970486636079	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
accuracy	10.72713342416287	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
accuracy	27.023676345016842	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
accuracy	0.7557453125887325	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
accuracy	3.6292735430823395	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
accuracy	4.362995016187257	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
accuracy	40.13966569440887	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
accuracy	0.1796875	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
accuracy	0.32421875	(*.f64 b #s(literal -2/3 binary64))
accuracy	40.03995766830691	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
accuracy	0.2421875	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
accuracy	4.709837522213109	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
accuracy	10.72713342416287	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
accuracy	27.023676345016842	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

109.0ms	82×	2	valid
38.0ms	69×	1	valid
34.0ms	89×	0	valid
17.0ms	16×	3	valid

Compiler

Compiled 302 to 38 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-add: 43.0ms (27.4% of total)

ival-div: 42.0ms (26.8% of total)

ival-mult: 29.0ms (18.5% of total)

adjust: 17.0ms (10.8% of total)

const: 9.0ms (5.7% of total)

ival-sub: 7.0ms (4.5% of total)

ival-sqrt: 7.0ms (4.5% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series86.0ms (0.7%)

Memory

22.9MiB live, 164.2MiB allocated

Counts

18 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
7.0ms	c	@	inf	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
2.0ms	c	@	-inf	(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
2.0ms	c	@	-inf	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
1.0ms	a	@	-inf	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))

simplify357.0ms (3.1%)

Memory

5.0MiB live, 439.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 334×	`lower-*.f64`
7 334×	`lower-*.f32`
6 790×	`lower-fma.f64`
6 790×	`lower-fma.f32`
4 828×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1229	12628
1	3999	12434
0	8079	11872

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

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

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

rewrite340.0ms (2.9%)

Memory

2.8MiB live, 515.6MiB allocated

Rules

5 390×	`lower-/.f32`
5 374×	`lower-/.f64`
4 864×	`lower-*.f32`
4 854×	`lower-*.f64`
3 158×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	218
0	62	218
1	243	212
2	1950	212
0	8899	212

Stop Event

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

Counts

18 → 1 303

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 b (.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) a) #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 0 binary64)) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (neg.f64 (.f64 a #s(literal -3 binary64)))) (/.f64 b (neg.f64 (.f64 a #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (neg.f64 (.f64 a #s(literal -3 binary64)))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (neg.f64 (*.f64 a #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (.f64 a #s(literal -3 binary64)))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (*.f64 a #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (.f64 a #s(literal -3 binary64)))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (*.f64 a #s(literal -3 binary64)))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 0 binary64)) (neg.f64 (.f64 a #s(literal -3 binary64)))) (/.f64 b (neg.f64 (.f64 a #s(literal -3 binary64)))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 b (.f64 #s(literal -3 binary64) (neg.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 #s(literal -3 binary64) (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (*.f64 #s(literal -3 binary64) (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (*.f64 #s(literal -3 binary64) (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (*.f64 #s(literal -3 binary64) (neg.f64 a))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 0 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 b (.f64 #s(literal -3 binary64) (neg.f64 a))))
(-.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (.f64 (.f64 a #s(literal 3 binary64)) (.f64 a #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 3 binary64)) b) (.f64 (.f64 a #s(literal 3 binary64)) (.f64 a #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal 3 binary64)))) (/.f64 (.f64 (/.f64 b (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 3 binary64)))))
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(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) #s(literal -1 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 b (.f64 b b) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 b (.f64 b b) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (.f64 b b) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (.f64 b b) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (fma.f64 b (.f64 b b) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (-.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))

eval308.0ms (2.7%)

Memory: 36.0MiB live, 652.2MiB allocated
Compiler: Compiled 71 892 to 5 578 computations (92.2% saved)

prune399.0ms (3.5%)

Memory

-16.2MiB live, 767.2MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	2 211	25	2 236
Fresh	10	2	12
Picked	4	1	5
Done	0	0	0
Total	2 225	28	2 253

Accuracy

92.0%

Counts

2 253 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.4%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a))))) a) #s(literal -3 binary64))
	34.4%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) (*.f64 #s(literal 3 binary64) a))
	37.3%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
	34.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	50.8%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
	36.3%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (.f64 (fma.f64 (/.f64 c (.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a)) (neg.f64 b))) #s(literal -3 binary64))
	32.6%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal -3 binary64))
▶	22.8%	(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	25.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))))))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
	33.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal 3 binary64))))
	9.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))
▶	50.8%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	50.8%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	32.7%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	30.4%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))))
✓	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
▶	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	32.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (neg.f64 b)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	21.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
	9.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
	2.3%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (fma.f64 b #s(literal 2/3 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b))) a))
▶	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))

Compiler

Compiled 797 to 536 computations (32.7% saved)

simplify199.0ms (1.7%)

Memory

10.1MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3 088×	`lower-fma.f32`
3 086×	`lower-fma.f64`
2 136×	`lower-*.f32`
2 118×	`lower-*.f64`
1 512×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	316
0	75	308
1	138	304
2	243	300
3	468	300
4	858	300
5	1614	300
6	3622	300
7	5036	300
8	6567	300
9	6781	300
10	6832	300
11	6868	300
12	7107	300
13	7681	300
14	7929	300
15	7983	300
16	7985	300
0	8051	300

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (1.8%)

Memory

4.4MiB live, 325.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.709837522213109	(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a))))) a)
accuracy	10.72713342416287	(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
accuracy	27.023676345016877	(sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a))))
accuracy	39.73977571057223	#s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))
accuracy	0.21484375	(.f64 (.f64 c a) #s(literal -3/2 binary64))
accuracy	4.860970486636079	(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
accuracy	5.422520912501409	(/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)
accuracy	43.063420653712896	#s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b))
accuracy	0.16796875	(/.f64 a (*.f64 b #s(literal -2/3 binary64)))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
accuracy	0.32421875	(*.f64 b #s(literal -2/3 binary64))
accuracy	40.03995766830691	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
accuracy	0	(/.f64 b a)
accuracy	0.30859375	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
accuracy	42.94490890323987	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
accuracy	0.3203125	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
accuracy	4.709837522213109	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) a)
accuracy	10.72713342416287	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b)
accuracy	27.023676345016877	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))

Samples

60.0ms	80×	2	valid
44.0ms	71×	1	valid
32.0ms	89×	0	valid
20.0ms	16×	3	valid

Compiler

Compiled 263 to 48 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 33.0ms (27.4% of total)

ival-mult: 22.0ms (18.3% of total)

adjust: 20.0ms (16.6% of total)

ival-add: 15.0ms (12.4% of total)

ival-sqrt: 11.0ms (9.1% of total)

const: 10.0ms (8.3% of total)

ival-sub: 9.0ms (7.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series55.0ms (0.5%)

Memory

11.1MiB live, 80.3MiB allocated

Counts

20 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/ (* (* c a) -3/2) b)
1.0ms	c	@	0	(/ (* (* c a) -3/2) b)
1.0ms	b	@	inf	(/ (* (* c a) -3/2) b)
1.0ms	b	@	0	(/ (* (* c a) -3/2) b)
1.0ms	a	@	0	(/ a (* b -2/3))

simplify361.0ms (3.1%)

Memory

16.7MiB live, 434.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 342×	`lower-fma.f64`
10 342×	`lower-fma.f32`
7 508×	`lower-*.f64`
7 508×	`lower-*.f32`
5 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	959	13269
1	3144	13163
0	8204	12597

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

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

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

rewrite327.0ms (2.8%)

Memory

-26.3MiB live, 418.7MiB allocated

Rules

5 040×	`lower-/.f32`
5 024×	`lower-/.f64`
4 684×	`lower-fma.f32`
4 682×	`lower-fma.f64`
4 266×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	267
0	75	259
1	297	251
2	1957	251
0	8753	251

Stop Event

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

Counts

20 → 831

Calls

Call 1

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

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

eval193.0ms (1.7%)

Memory: 43.9MiB live, 391.5MiB allocated
Compiler: Compiled 39 101 to 3 817 computations (90.2% saved)

prune321.0ms (2.8%)

Memory

-49.2MiB live, 648.8MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 439	22	1 461
Fresh	7	15	22
Picked	2	3	5
Done	0	1	1
Total	1 448	41	1 489

Accuracy

92.1%

Counts

1 489 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) (*.f64 #s(literal 3 binary64) a))
	37.3%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
	34.5%	(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
	34.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	34.4%	(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) a)
	22.8%	(/.f64 (.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
	33.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal 3 binary64))))
	9.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))
✓	50.8%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	9.9%	(.f64 (/.f64 (-.f64 #s(approx (sqrt (+ ( c (* a -3)) (* b b))) (fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b)) b) a) #s(literal 1/3 binary64))
	34.4%	(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) a) #s(literal -1/3 binary64))
	22.8%	(.f64 (/.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) a) #s(literal 1/3 binary64))
▶	22.8%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)))
▶	50.8%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	22.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal -3 binary64)))
▶	34.4%	(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
	32.5%	(.f64 #s(approx (/ (- (sqrt (+ ( c (* a -3)) (* b b))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
	22.0%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 (.f64 a (.f64 c c)) c) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 #s(literal -1/2 binary64) c))) b))
	32.7%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	30.4%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3/2 binary64) b)))
✓	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b #s(literal -3/2 binary64)))))
✓	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3/2 binary64) b)) #s(literal -1 binary64))))))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal -3/2 binary64)))))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	21.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
	9.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
▶	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64)))))
✓	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
▶	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

Compiler

Compiled 1 109 to 744 computations (32.9% saved)

simplify447.0ms (3.9%)

Memory

14.7MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))
cost-diff	0	(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))
cost-diff	0	(.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64))
cost-diff	320	(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)
cost-diff	0	#s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)))
cost-diff	0	(*.f64 b #s(literal 2/3 binary64))
cost-diff	0	(/.f64 a (*.f64 b #s(literal 2/3 binary64)))
cost-diff	0	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64))))
cost-diff	0	(/.f64 #s(literal 2/3 binary64) a)
cost-diff	0	(*.f64 b (/.f64 #s(literal 2/3 binary64) a))
cost-diff	0	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal -1/3 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

Rules

3 192×	`lower-fma.f32`
3 190×	`lower-fma.f64`
2 240×	`lower-*.f32`
2 216×	`lower-*.f64`
1 552×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	305
0	75	301
1	120	295
2	218	295
3	433	295
4	784	295
5	1282	295
6	1973	295
7	2785	295
8	4274	295
9	4967	295
10	5283	295
11	5390	295
12	5422	295
13	5430	295
14	6052	295
15	6394	295
16	6538	295
17	6754	295
18	6852	295
19	6852	295
20	6852	295
21	6868	295
22	6972	295
23	7135	295
24	7385	295
25	7732	295
26	7859	295
27	7876	295
28	7876	295
29	7876	295
0	7876	295

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize227.0ms (2%)

Memory

-5.9MiB live, 268.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.878502792907208	(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
accuracy	10.72713342416287	(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))
accuracy	27.023676345016877	(sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))
accuracy	39.73977571057223	#s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))
accuracy	0.37109375	(/.f64 #s(literal 1/3 binary64) a)
accuracy	4.855442996404521	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)))
accuracy	5.422520912501409	(/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)
accuracy	43.063420653712896	#s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b))
accuracy	0.16796875	(/.f64 a (*.f64 b #s(literal 2/3 binary64)))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64))))
accuracy	0.32421875	(*.f64 b #s(literal 2/3 binary64))
accuracy	42.94490890323987	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64)))))
accuracy	0.19921875	(*.f64 b (/.f64 #s(literal 2/3 binary64) a))
accuracy	0.37109375	(/.f64 #s(literal 2/3 binary64) a)
accuracy	42.94490890323987	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
accuracy	0.37109375	(/.f64 #s(literal -1/3 binary64) a)
accuracy	4.855442996404521	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
accuracy	10.72713342416287	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
accuracy	27.023676345016877	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

64.0ms	80×	2	valid
37.0ms	72×	1	valid
25.0ms	89×	0	valid
11.0ms	15×	3	valid

Compiler

Compiled 260 to 40 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 26.0ms (27.6% of total)

ival-sub: 20.0ms (21.2% of total)

ival-div: 17.0ms (18% of total)

adjust: 11.0ms (11.7% of total)

const: 10.0ms (10.6% of total)

ival-add: 6.0ms (6.4% of total)

ival-sqrt: 5.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory

16.8MiB live, 55.3MiB allocated

Counts

20 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3)
0.0ms	a	@	-inf	(* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3)
0.0ms	c	@	inf	(* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3)
0.0ms	b	@	0	(* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3)
0.0ms	c	@	0	(* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3)

simplify448.0ms (3.9%)

Memory

-0.4MiB live, 408.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 392×	`lower-fma.f64`
11 392×	`lower-fma.f32`
8 744×	`lower-*.f64`
8 744×	`lower-*.f32`
4 902×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	866	12233
1	2835	12150
0	8299	11624

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 582

Calls

Call 1

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

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

rewrite367.0ms (3.2%)

Memory

-20.9MiB live, 302.2MiB allocated

Rules

5 024×	`lower-fma.f32`
5 022×	`lower-fma.f64`
4 384×	`lower-*.f32`
4 360×	`lower-*.f64`
3 926×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	249
0	75	243
1	225	239
2	1367	239
0	8422	239

Stop Event

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

Counts

20 → 707

Calls

Call 1

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

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

eval369.0ms (3.2%)

Memory: 25.5MiB live, 239.8MiB allocated
Compiler: Compiled 33 856 to 2 834 computations (91.6% saved)

prune408.0ms (3.5%)

Memory

-21.2MiB live, 363.2MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 278	11	1 289
Fresh	8	24	32
Picked	3	2	5
Done	1	3	4
Total	1 290	40	1 330

Accuracy

92.1%

Counts

1 330 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
	34.5%	(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
	22.8%	(/.f64 (.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))))
	33.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal 3 binary64))))
	9.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))
✓	50.8%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	9.9%	(.f64 (/.f64 (-.f64 #s(approx (sqrt (+ ( c (* a -3)) (* b b))) (fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b)) b) a) #s(literal 1/3 binary64))
	34.5%	(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))) a) #s(literal -1/3 binary64))
	22.8%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))))
✓	50.8%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	34.4%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))))
✓	34.4%	(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
	32.5%	(.f64 #s(approx (/ (- (sqrt (+ ( c (* a -3)) (* b b))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
	22.8%	(.f64 #s(approx ( (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b)) (/.f64 #s(literal 1 binary64) a))
	22.0%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 (.f64 a (.f64 c c)) c) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 #s(literal -1/2 binary64) c))) b))
	32.7%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	30.4%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3/2 binary64) b)))
✓	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b #s(literal -3/2 binary64)))))
✓	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3/2 binary64) b)) #s(literal -1 binary64))))))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal -3/2 binary64)))))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	37.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	21.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
	9.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 b (*.f64 a #s(literal 3/2 binary64))))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
	1.9%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) b)) #s(literal -1 binary64))))))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal 3/2 binary64)))))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))))
	2.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal 3/2 binary64)))))

Compiler

Compiled 1 504 to 635 computations (57.8% saved)

regimes156.0ms (1.4%)

Memory

5.9MiB live, 199.8MiB allocated

Counts

76 → 3

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 b (*.f64 a #s(literal 3/2 binary64))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) 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 #s(literal -2/3 binary64) a) b))
#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 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal 3/2 binary64)))))
(.f64 #s(approx (/ (- (sqrt (+ ( c (* a -3)) (* b b))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64)))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal -3 binary64))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal 3/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b #s(literal -3/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3/2 binary64) b)))
(.f64 #s(approx ( (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))))
(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)))
(.f64 (/.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (fma.f64 b #s(literal 2/3 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b))) a))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))))
(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))) a) #s(literal -1/3 binary64))
(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) a) #s(literal -1/3 binary64))
(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(.f64 (/.f64 (-.f64 #s(approx (sqrt (+ ( c (* a -3)) (* b b))) (fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b)) b) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a))))) a) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal -3 binary64)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))))
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (.f64 (fma.f64 (/.f64 c (.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a)) (neg.f64 b))) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 a #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a #s(literal 3 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 (.f64 a (.f64 c c)) c) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) b)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3/2 binary64) b)) #s(literal -1 binary64))))))

Outputs

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

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

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

Calls

5 calls:

52.0ms	c
30.0ms	b
25.0ms	(*.f64 #s(literal 3 binary64) a)
23.0ms	(/.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))
22.0ms	a

Results

Accuracy	Segments	Branch
54.3%	3	`a`
87.0%	3	`b`
50.8%	1	`c`
75.6%	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))`
54.3%	3	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes27.0ms (0.2%)

Memory

4.9MiB live, 77.1MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 b (*.f64 a #s(literal 3/2 binary64))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) 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 #s(literal -2/3 binary64) a) b))
#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 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal 3/2 binary64)))))
(.f64 #s(approx (/ (- (sqrt (+ ( c (* a -3)) (* b b))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 2/3 binary64)))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal -3 binary64))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal 3/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b #s(literal -3/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3/2 binary64) b)))
(.f64 #s(approx ( (- b (sqrt (+ (* a (* -3 c)) (* b b)))) -1/3) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))))
(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)))
(.f64 (/.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (fma.f64 b #s(literal 2/3 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b))) a))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))))
(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))) a) #s(literal -1/3 binary64))
(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) a) #s(literal -1/3 binary64))
(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(.f64 (/.f64 (-.f64 #s(approx (sqrt (+ ( c (* a -3)) (* b b))) (fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b)) b) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a))))) a) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (+ ( a (* -3 c)) (* b b))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal -3 binary64)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))))
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (.f64 (fma.f64 (/.f64 c (.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a)) (neg.f64 b))) #s(literal -3 binary64))

Outputs

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

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

-6.8MiB live, 35.8MiB allocated

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

1.7MiB live, 36.8MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

31.9MiB live, 31.9MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-7.6MiB live, 28.5MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-3.8MiB live, 33.9MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.3%)

Memory

-10.0MiB live, 72.2MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	b
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))

Results

Accuracy	Segments	Branch
50.3%	3	`(/.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))`
67.6%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
67.5%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.5%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-33.6MiB live, 44.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	b
4.0ms	(/.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))
4.0ms	c
3.0ms	(*.f64 #s(literal 3 binary64) a)
3.0ms	a

Results

Accuracy	Segments	Branch
37.3%	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))`
37.3%	1	`c`
37.3%	1	`a`
37.3%	1	`(*.f64 #s(literal 3 binary64) a)`
43.5%	2	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
43.5%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	c
2.0ms	b
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	a
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
9.1%	1	`a`
9.1%	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))`
9.1%	1	`(*.f64 #s(literal 3 binary64) a)`
9.1%	1	`c`
9.1%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes21.0ms (0.2%)

Memory

-40.3MiB live, 21.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	a
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	b
2.0ms	c
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
2.6%	1	`c`
2.6%	1	`b`
2.6%	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))`
2.6%	1	`a`
2.6%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch46.0ms (0.4%)

Memory

25.5MiB live, 101.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.9180383948974694e-48	1.7542862503122253e-43
16.0ms	-1.1151134015020699e+97	-1.2564541186672097e+93

Samples

14.0ms	196×	0	valid
6.0ms	49×	1	valid
5.0ms	27×	2	valid
4.0ms	35×	0	invalid

Compiler

Compiled 532 to 357 computations (32.9% saved)

Precisions

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

ival-mult: 7.0ms (35.1% of total)

ival-div: 3.0ms (15% of total)

ival-sqrt: 3.0ms (15% of total)

adjust: 2.0ms (10% of total)

ival-sub: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

ival-neg: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory

-28.0MiB live, 47.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9180383948974694e-48	1.7542862503122253e-43
16.0ms	-5.360390822586539e+70	-1.516097951210828e+67

Samples

9.0ms	128×	0	valid
2.0ms	6×	0	invalid

Compiler

Compiled 549 to 391 computations (28.8% saved)

Precisions

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

ival-mult: 2.0ms (31.5% of total)

ival-div: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

ival-sub: 1.0ms (15.7% of total)

ival-sqrt: 1.0ms (15.7% of total)

ival-neg: 1.0ms (15.7% 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

7.1MiB live, 7.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9180383948974694e-48	1.7542862503122253e-43
1.0ms	-5.360390822586539e+70	-1.516097951210828e+67

Compiler

Compiled 532 to 374 computations (29.7% saved)

bsearch2.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9180383948974694e-48	1.7542862503122253e-43
1.0ms	-1.1151134015020699e+97	-1.2564541186672097e+93

Compiler

Compiled 532 to 374 computations (29.7% saved)

bsearch40.0ms (0.3%)

Memory

-4.4MiB live, 71.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.9180383948974694e-48	1.7542862503122253e-43
20.0ms	-6.092515850879645e-42	-2.1556244419923033e-49

Samples

14.0ms	177×	0	valid
5.0ms	20×	2	valid
4.0ms	51×	0	invalid
4.0ms	27×	1	valid

Compiler

Compiled 509 to 324 computations (36.3% saved)

Precisions

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

ival-mult: 5.0ms (27.2% of total)

adjust: 3.0ms (16.3% of total)

ival-add: 3.0ms (16.3% of total)

ival-div: 2.0ms (10.9% of total)

ival-sub: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

ival-neg: 1.0ms (5.4% 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

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9180383948974694e-48	1.7542862503122253e-43
1.0ms	-6.092515850879645e-42	-2.1556244419923033e-49

Compiler

Compiled 509 to 360 computations (29.3% saved)

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9180383948974694e-48	1.7542862503122253e-43
1.0ms	-6.092515850879645e-42	-2.1556244419923033e-49

Compiler

Compiled 509 to 360 computations (29.3% saved)

bsearch30.0ms (0.3%)

Memory

7.8MiB live, 45.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-4.9655760806168774e-300	4.65268169370194e-298

Samples

13.0ms	160×	0	valid
5.0ms	76×	0	invalid

Compiler

Compiled 283 to 188 computations (33.6% saved)

Precisions

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

ival-mult: 4.0ms (31.9% of total)

ival-neg: 3.0ms (23.9% of total)

ival-div: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

ival-sub: 1.0ms (8% of total)

ival-sqrt: 1.0ms (8% 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	-4.9655760806168774e-300	4.65268169370194e-298

Compiler

Compiled 223 to 158 computations (29.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.9655760806168774e-300	4.65268169370194e-298

Compiler

Compiled 223 to 158 computations (29.1% saved)

bsearch22.0ms (0.2%)

Memory

0.7MiB live, 41.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.7232046594525456e+26	6.1798739320297703e+26

Samples

5.0ms	26×	2	valid
3.0ms	24×	1	valid
2.0ms	24×	0	valid
2.0ms	6×	3	valid
1.0ms	10×	0	invalid

Compiler

Compiled 128 to 88 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

adjust: 2.0ms (23.8% of total)

ival-mult: 2.0ms (23.8% of total)

ival-div: 1.0ms (11.9% of total)

ival-sub: 1.0ms (11.9% of total)

ival-sqrt: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% 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)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7232046594525456e+26	6.1798739320297703e+26

Compiler

Compiled 128 to 88 computations (31.3% saved)

simplify19.0ms (0.2%)

Memory

7.6MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	867
1	154	866
2	167	866
3	174	866
4	177	866

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (.f64 a #s(literal -3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))) a) #s(literal -1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 279999999999999999597346816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
(if (<=.f64 b #s(literal 279999999999999999597346816 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 (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

Outputs
(if (<=.f64 b #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) a) #s(literal -3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (.f64 a #s(literal -3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c))))) a) #s(literal -1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 c #s(literal -3 binary64)))))) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 #s(literal -3 binary64) c)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3013008832985607/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 a (.f64 c #s(literal -3 binary64))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 279999999999999999597346816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
(if (<=.f64 b #s(literal 279999999999999999597346816 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 (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

soundness1.3s (11.2%)

Memory

-33.7MiB live, 1 410.5MiB allocated

Rules

10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
7 910×	`lower-*.f64`
7 910×	`lower-*.f32`
7 334×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	267
0	75	259
1	297	251
2	1957	251
0	8753	251
0	48	249
0	75	243
1	225	239
2	1367	239
0	8422	239
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	1229	12628
1	3999	12434
0	8079	11872
0	39	218
0	62	218
1	243	212
2	1950	212
0	8899	212

Stop Event

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

Compiler

Compiled 987 to 507 computations (48.6% saved)

preprocess200.0ms (1.7%)

Memory: -5.6MiB live, 195.3MiB allocated
Compiler: Compiled 742 to 206 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze126.0ms (1.1%)

sample2.1s (18.2%)

explain189.0ms (1.6%)

preprocess122.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (0.7%)

localize46.0ms (0.4%)

series25.0ms (0.2%)

simplify342.0ms (3%)

rewrite221.0ms (1.9%)

eval103.0ms (0.9%)

prune104.0ms (0.9%)

simplify265.0ms (2.3%)

localize258.0ms (2.2%)

series86.0ms (0.7%)

simplify357.0ms (3.1%)

rewrite340.0ms (2.9%)

eval308.0ms (2.7%)

prune399.0ms (3.5%)

simplify199.0ms (1.7%)

localize211.0ms (1.8%)

series55.0ms (0.5%)

simplify361.0ms (3.1%)

rewrite327.0ms (2.8%)

eval193.0ms (1.7%)

prune321.0ms (2.8%)

simplify447.0ms (3.9%)

localize227.0ms (2%)

series61.0ms (0.5%)

simplify448.0ms (3.9%)

rewrite367.0ms (3.2%)

eval369.0ms (3.2%)

prune408.0ms (3.5%)

regimes156.0ms (1.4%)

regimes27.0ms (0.2%)

regimes23.0ms (0.2%)

regimes20.0ms (0.2%)

regimes16.0ms (0.1%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

bsearch46.0ms (0.4%)

bsearch23.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch40.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch30.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch1.0ms (0%)

simplify19.0ms (0.2%)

soundness1.3s (11.2%)

preprocess200.0ms (1.7%)

end0.0ms (0%)

Profiling