Metrics for Cubic critical

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze148.0ms (1.8%)

Memory

-18.9MiB live, 279.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.7s (21.6%)

Memory

31.8MiB live, 1 835.2MiB allocated

Samples

611.0ms	5 516×	0	valid
327.0ms	1 180×	2	valid
249.0ms	1 390×	1	valid
101.0ms	984×	0	invalid
43.0ms	170×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 951.0ms

ival-mult: 233.0ms (24.5% of total)

ival-neg: 146.0ms (15.4% of total)

ival-sub: 126.0ms (13.2% of total)

ival-div: 125.0ms (13.1% of total)

ival-sqrt: 124.0ms (13% of total)

ival-add: 103.0ms (10.8% of total)

adjust: 76.0ms (8% of total)

ival-true: 7.0ms (0.7% of total)

exact: 6.0ms (0.6% of total)

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

Bogosity

explain168.0ms (2.1%)

Memory

-6.2MiB live, 235.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	1	(4.1949616725579996e-215 -1.915778270155119e-265 -1.80577690253382e-102)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
63	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
16	-	1	(-1.3733006779280242e-302 3.6519012368485165e-48 4.355944750018083e-61)	`(/.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	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
1	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`c`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	104	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	23
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	104
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(*.f64 b b)`	overflow	93
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	63	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	14	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	33
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	5
↳	`(*.f64 b b)`	underflow	50
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	31
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	50
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	33
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	5
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	93
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	23
`/.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))`	n/o	1	0
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
`*.f64`	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	131	1
-	20	104

Precision

0.8675496688741722

Recall

0.9924242424242424

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	1
-	20	0	104

Precision?

0.8675496688741722

Recall?

0.9924242424242424

Freqs

test

number	freq
0	105
1	112
2	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	324×	0	valid
21.0ms	92×	2	valid
15.0ms	88×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 12.0ms (28.2% of total)

ival-sqrt: 7.0ms (16.5% of total)

adjust: 6.0ms (14.1% of total)

ival-div: 6.0ms (14.1% of total)

ival-sub: 4.0ms (9.4% of total)

ival-add: 4.0ms (9.4% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess120.0ms (1.5%)

Memory

24.2MiB live, 98.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(/.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))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify66.0ms (0.8%)

Memory

-13.1MiB live, 25.9MiB 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))))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.7%)

Memory

13.2MiB live, 56.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.43044257323443585	(.f64 (.f64 #s(literal 3 binary64) a) c)
accuracy	3.6901559500056353	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
accuracy	14.669694518030884	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy	25.56012052838412	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

20.0ms	46×	2	valid
14.0ms	162×	0	valid
7.0ms	44×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

adjust: 12.0ms (41% of total)

ival-mult: 6.0ms (20.5% of total)

ival-div: 3.0ms (10.3% of total)

ival-sqrt: 3.0ms (10.3% of total)

ival-sub: 2.0ms (6.8% of total)

ival-add: 2.0ms (6.8% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory

4.1MiB live, 77.3MiB allocated

Counts

6 → 180

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>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
5.0ms	c	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
3.0ms	b	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
3.0ms	a	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
3.0ms	c	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))

simplify185.0ms (2.3%)

Memory

-27.1MiB live, 243.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	3586
1	1767	3563
2	6210	3520
0	8259	3350

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

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

rewrite145.0ms (1.8%)

Memory

-6.3MiB live, 259.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	71	54
2	525	53
3	6836	53
0	8125	49

Stop Event

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

Counts

6 → 446

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)))
(.f64 (.f64 #s(literal 3 binary64) a) c)

Outputs
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eval84.0ms (1%)

Memory: 1.0MiB live, 158.0MiB allocated
Compiler: Compiled 19 411 to 2 198 computations (88.7% saved)

prune43.0ms (0.5%)

Memory

19.6MiB live, 110.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	606	17	623
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	607	17	624

Accuracy

93.2%

Counts

624 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))
	50.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	36.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
	13.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
	29.9%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
▶	50.5%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
	33.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
	30.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
▶	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
	50.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	50.6%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	50.6%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
	23.9%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))
	37.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
	38.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
▶	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

Compiler

Compiled 490 to 404 computations (17.6% saved)

simplify163.0ms (2%)

Memory

-21.4MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
cost-diff	0	(*.f64 a #s(literal 3 binary64))
cost-diff	0	(/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
cost-diff	0	(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
cost-diff	0	(/.f64 b a)
cost-diff	0	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a)
cost-diff	384	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	334
0	61	332
1	102	324
2	182	324
3	370	324
4	685	324
5	1286	324
6	2123	324
7	3013	324
8	4103	324
9	4925	324
10	5395	324
11	5404	324
12	5409	324
13	5427	324
14	5471	324
15	5483	324
16	5483	324
0	5483	324

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize138.0ms (1.7%)

Memory

6.2MiB live, 235.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.4605298676018512	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
accuracy	3.6200447932311244	(/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy	14.669694518030884	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	25.56012052838412	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
accuracy	0.32421875	(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy	3.3271416486326917	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
accuracy	14.669694518030884	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	25.56012052838412	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
accuracy	3.6901559500056353	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
accuracy	14.669694518030884	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
accuracy	25.56012052838412	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
accuracy	38.96044287170251	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))
accuracy	0	(/.f64 b a)
accuracy	0.3046875	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
accuracy	44.46343466347117	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
accuracy	0.23828125	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))
accuracy	3.3165931721692954	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a)
accuracy	14.669694518030884	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	25.56012052838412	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))

Samples

45.0ms	162×	0	valid
27.0ms	39×	2	valid
25.0ms	44×	1	valid
9.0ms	11×	3	valid

Compiler

Compiled 321 to 34 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 21.0ms (29.9% of total)

ival-mult: 17.0ms (24.2% of total)

ival-sqrt: 8.0ms (11.4% of total)

const: 8.0ms (11.4% of total)

adjust: 5.0ms (7.1% of total)

ival-add: 5.0ms (7.1% of total)

ival-sub: 4.0ms (5.7% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series58.0ms (0.7%)

Memory

-6.1MiB live, 75.5MiB allocated

Counts

17 → 540

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* a 3) (- (* b b) (* (* 3 a) c)))
5.0ms	c	@	inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* a 3) (- (* b b) (* (* 3 a) c)))
4.0ms	b	@	-inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* a 3) (- (* b b) (* (* 3 a) c)))
3.0ms	b	@	inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* a 3) (- (* b b) (* (* 3 a) c)))
3.0ms	c	@	-inf	((/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* a 3) (- (* b b) (* (* 3 a) c)))

simplify200.0ms (2.5%)

Memory

26.6MiB live, 226.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1082	13190
1	3604	12999
0	8126	12417

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 534

Calls

Call 1

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

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

rewrite181.0ms (2.3%)

Memory

-3.6MiB live, 184.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	217
0	61	215
1	212	207
2	1501	207
0	8742	207

Stop Event

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

Counts

17 → 1 024

Calls

Call 1

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

Outputs
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eval281.0ms (3.5%)

Memory: 25.6MiB live, 420.3MiB allocated
Compiler: Compiled 63 843 to 4 765 computations (92.5% saved)

prune73.0ms (0.9%)

Memory

-2.3MiB live, 156.7MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1 981	23	2 004
Fresh	5	7	12
Picked	4	1	5
Done	0	0	0
Total	1 990	31	2 021

Accuracy

93.2%

Counts

2 021 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
	30.4%	(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64))
	36.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
▶	50.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	13.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 3 binary64))
▶	37.1%	(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) a)
	33.4%	(/.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ ( (* -3 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))) a)
	30.2%	(/.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ ( (* -3 c) a) (* b b))) b) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))) a)
	38.5%	(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
	30.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	30.4%	(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
	30.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ ( (* -3 c) a) (* b b))) (neg.f64 b)) b)))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))))))
	38.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64)))))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) c)))
▶	38.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))
	30.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))
	50.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	37.1%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
▶	50.6%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
	37.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b))
	23.9%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))
▶	38.6%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
	29.7%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	30.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (.f64 (neg.f64 b) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)))
	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
	13.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a b) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)))))
✓	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))))

Compiler

Compiled 744 to 687 computations (7.7% saved)

simplify271.0ms (3.4%)

Memory

-12.3MiB live, 62.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	310
0	80	308
1	132	303
2	212	303
3	369	303
4	590	303
5	995	303
6	1754	303
7	3050	303
8	4600	303
9	6246	303
10	6398	303
11	6427	303
12	6440	303
13	6446	303
14	6621	303
15	6769	303
16	6769	303
17	6853	303
18	7387	303
19	7693	303
20	7695	303
21	7709	303
22	7721	303
0	7721	303

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize162.0ms (2%)

Memory

15.3MiB live, 167.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.32106757323443585	(fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b))
accuracy	3.6901559500056353	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy	14.669694518030884	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b))))
accuracy	25.56012052838412	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b)))
accuracy	3.3271416486326917	(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) a)
accuracy	14.669694518030884	(-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))))
accuracy	25.56012052838412	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))
accuracy	38.96044287170251	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))
accuracy	0	(/.f64 b c)
accuracy	0.0078125	(*.f64 (/.f64 b c) #s(literal -2 binary64))
accuracy	0.4605298676018512	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))
accuracy	39.17445977654483	#s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))
accuracy	0	(/.f64 c b)
accuracy	0.0078125	(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy	39.319986575453804	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy	0.3203125	(/.f64 #s(literal 1/3 binary64) a)
accuracy	3.438801658401134	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy	14.669694518030884	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	25.56012052838412	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))

Samples

58.0ms	162×	0	valid
30.0ms	39×	2	valid
25.0ms	44×	1	valid
21.0ms	11×	3	valid

Compiler

Compiled 275 to 45 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 23.0ms (26.8% of total)

ival-div: 20.0ms (23.3% of total)

ival-sqrt: 10.0ms (11.7% of total)

ival-sub: 9.0ms (10.5% of total)

adjust: 7.0ms (8.2% of total)

ival-add: 7.0ms (8.2% of total)

const: 7.0ms (8.2% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series59.0ms (0.7%)

Memory

-6.1MiB live, 77.6MiB allocated

Counts

21 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	((* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (* (/ c b) -1/2) (/ c b) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ b c) -2) (/ b c) (/ (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) a) (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (- b (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (- (* b b) (* (* 3 a) c)) (+ (* (* -3 a) c) (* b b)))
6.0ms	b	@	inf	((* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (* (/ c b) -1/2) (/ c b) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ b c) -2) (/ b c) (/ (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) a) (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (- b (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (- (* b b) (* (* 3 a) c)) (+ (* (* -3 a) c) (* b b)))
3.0ms	c	@	-inf	((* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (* (/ c b) -1/2) (/ c b) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ b c) -2) (/ b c) (/ (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) a) (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (- b (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (- (* b b) (* (* 3 a) c)) (+ (* (* -3 a) c) (* b b)))
3.0ms	c	@	inf	((* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (* (/ c b) -1/2) (/ c b) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ b c) -2) (/ b c) (/ (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) a) (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (- b (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (- (* b b) (* (* 3 a) c)) (+ (* (* -3 a) c) (* b b)))
3.0ms	b	@	-inf	((* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (* (/ c b) -1/2) (/ c b) (/ 1 (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (/ b c) -2) (/ b c) (/ (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) a) (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (- b (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (- (* b b) (* (* 3 a) c)) (+ (* (* -3 a) c) (* b b)))

simplify220.0ms (2.7%)

Memory

-13.8MiB live, 231.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1110	14861
1	3693	14663
0	8347	14007

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 651

Calls

Call 1

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

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

rewrite181.0ms (2.3%)

Memory

24.1MiB live, 214.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	257
0	80	255
1	269	250
2	1611	250
0	8774	250

Stop Event

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

Counts

21 → 1 227

Calls

Call 1

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

Outputs
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eval545.0ms (6.8%)

Memory: -127.5MiB live, 405.1MiB allocated
Compiler: Compiled 55 493 to 4 564 computations (91.8% saved)

prune79.0ms (1%)

Memory

-6.7MiB live, 157.2MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1 863	15	1 878
Fresh	6	19	25
Picked	1	4	5
Done	0	1	1
Total	1 870	39	1 909

Accuracy

93.2%

Counts

1 909 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.7%	(pow.f64 (.f64 #s(approx (/ ( a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 #s(literal -2 binary64) (/.f64 b c))) #s(approx (/ ( a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c)))) #s(literal -1/2 binary64))
	37.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
	30.4%	(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64))
	36.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
✓	50.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	13.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 3 binary64))
	50.5%	(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) #s(literal -1/3 binary64)) a)
✓	37.1%	(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) a)
	30.2%	(/.f64 (.f64 #s(approx (- b (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal 3/2 binary64) b) (.f64 a (/.f64 c b)) #s(literal -2 binary64)))) #s(literal -1/3 binary64)) a)
	33.4%	(/.f64 (.f64 #s(approx (- b (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)))) #s(literal -1/3 binary64)) a)
	38.5%	(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
	30.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	30.4%	(/.f64 #s(approx (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))))))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
	38.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64)))))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -2 binary64) b)) c)))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -2 binary64) c)) b)))
	30.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))
	37.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 b c)) #s(literal -2 binary64))))
▶	38.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c))))
▶	50.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)))
▶	37.1%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
✓	50.6%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
	37.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b))
	30.4%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -3 c) a) (* b b))) (neg.f64 b)) b))
	37.0%	(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a))
	23.9%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))
	38.1%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
✓	38.6%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
▶	38.4%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
	29.7%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	30.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (.f64 (neg.f64 b) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)))
▶	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
	13.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a b) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)))))
✓	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))))

Compiler

Compiled 878 to 813 computations (7.4% saved)

simplify110.0ms (1.4%)

Memory

-11.9MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
cost-diff	832	(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a)
cost-diff	0	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 #s(literal -2 binary64) c)
cost-diff	0	(*.f64 b (/.f64 #s(literal -2 binary64) c))
cost-diff	0	#s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
cost-diff	0	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)
cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b))
cost-diff	384	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	334
0	81	331
1	147	324
2	268	324
3	599	324
4	1172	320
5	2009	320
6	3465	320
7	5475	320
8	7071	320
9	7887	320
0	8035	318

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (2.4%)

Memory

2.6MiB live, 199.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1984606662232751	(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
accuracy	0.3203125	(/.f64 #s(literal 2/3 binary64) a)
accuracy	5.607374757399699	(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
accuracy	44.525041551384426	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
accuracy	3.3165931721692954	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a)
accuracy	14.669694518030884	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b)
accuracy	25.56012052838412	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))
accuracy	38.96044287170251	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))
accuracy	0	(/.f64 #s(literal -2 binary64) c)
accuracy	0.18359375	(*.f64 b (/.f64 #s(literal -2 binary64) c))
accuracy	0.4605298676018512	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c))))
accuracy	39.17445977654483	#s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b)
accuracy	0.1875	(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
accuracy	39.319986575453804	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
accuracy	0.5699048676018512	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)))
accuracy	3.314485865714328	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b))
accuracy	14.669694518030884	(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)
accuracy	25.56012052838412	(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))

Samples

60.0ms	162×	0	valid
52.0ms	44×	1	valid
38.0ms	39×	2	valid
12.0ms	11×	3	valid

Compiler

Compiled 281 to 52 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 36.0ms (33.4% of total)

ival-mult: 24.0ms (22.2% of total)

ival-sub: 10.0ms (9.3% of total)

ival-sqrt: 10.0ms (9.3% of total)

adjust: 9.0ms (8.3% of total)

const: 9.0ms (8.3% of total)

ival-add: 8.0ms (7.4% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series76.0ms (0.9%)

Memory

27.9MiB live, 65.1MiB allocated

Counts

21 → 636

Calls

Call 1

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

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

Calls

9 calls:

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

simplify241.0ms (3%)

Memory

-23.3MiB live, 262.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	14373
1	3839	14093
0	8114	13468

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

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

rewrite193.0ms (2.4%)

Memory

12.9MiB live, 234.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	282
0	81	279
1	333	272
2	2128	272
0	9051	272

Stop Event

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

Counts

21 → 752

Calls

Call 1

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

Outputs
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eval226.0ms (2.8%)

Memory: 6.2MiB live, 249.0MiB allocated
Compiler: Compiled 34 807 to 4 547 computations (86.9% saved)

prune68.0ms (0.9%)

Memory

-7.8MiB live, 153.5MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1 374	8	1 382
Fresh	10	19	29
Picked	1	4	5
Done	1	4	5
Total	1 386	35	1 421

Accuracy

93.2%

Counts

1 421 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
	50.3%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	36.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
	13.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 3 binary64))
✓	37.1%	(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) a)
	33.4%	(/.f64 (.f64 #s(approx (- b (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)))) #s(literal -1/3 binary64)) a)
	30.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	30.4%	(/.f64 #s(approx (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))))))
	38.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64)))))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -2 binary64) b)) c)))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -2 binary64) c)) b)))
	30.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))
✓	38.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c))))
✓	50.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)))
	38.1%	(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* c -3) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
✓	37.1%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
✓	50.6%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
	37.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b))
	37.0%	(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a))
	38.4%	(.f64 #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 1/3 binary64))
	23.9%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))
	38.1%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
✓	38.6%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
✓	38.4%	#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	30.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (.f64 (neg.f64 b) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)))
	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a))))
	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
	13.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
	13.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a b) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)))))
✓	30.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	30.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
	13.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))

Compiler

Compiled 1 191 to 630 computations (47.1% saved)

regimes131.0ms (1.6%)

Memory

15.5MiB live, 124.1MiB allocated

Counts

64 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (* (- b (sqrt (- (* b b) (* (* 3 a) c)))) -1/3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(.f64 #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -3 c) a) (* b b))) (neg.f64 b)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (.f64 (neg.f64 b) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* c -3) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 b (/.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 b c)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ ( (* -3 c) a) (* b b))) (neg.f64 b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ ( (* -3 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))) a)
(/.f64 (.f64 #s(approx (- b (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)))) #s(literal -1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64)))))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) a) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 (.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)) (.f64 #s(literal -2 binary64) b)) 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))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -2 binary64) c)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ ( (* -3 c) a) (* b b))) b) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))) a)
(/.f64 (.f64 #s(approx (- b (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal 3/2 binary64) b) (.f64 a (/.f64 c b)) #s(literal -2 binary64)))) #s(literal -1/3 binary64)) a)
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 3 binary64))
(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(pow.f64 (.f64 #s(approx (/ ( a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 #s(literal -2 binary64) (/.f64 b c))) #s(approx (/ ( a 3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c)))) #s(literal -1/2 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a b) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))

Outputs

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

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

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

Calls

5 calls:

40.0ms	c
29.0ms	(/.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
18.0ms	(*.f64 #s(literal 3 binary64) a)
18.0ms	b

Results

Accuracy	Segments	Branch
54.1%	3	`a`
89.3%	3	`b`
50.6%	1	`c`
76.2%	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))`
54.1%	3	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes22.0ms (0.3%)

Memory

-22.4MiB live, 24.1MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
89.3%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory

3.8MiB live, 38.8MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

-21.7MiB live, 16.0MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	b
8.0ms	(/.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
50.2%	4	`(/.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))`
66.7%	2	`b`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes11.0ms (0.1%)

Memory

-23.5MiB live, 14.1MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
66.6%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.5%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.5%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.5%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

-29.4MiB live, 16.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

5 calls:

6.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	c
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
30.4%	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))`
30.4%	1	`c`
30.4%	1	`a`
30.4%	1	`(*.f64 #s(literal 3 binary64) a)`
40.9%	2	`b`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(*.f64 #s(literal 3 binary64) a)
1.0ms	b
1.0ms	c
1.0ms	a
1.0ms	(/.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
13.4%	1	`a`
13.4%	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))`
13.4%	1	`(*.f64 #s(literal 3 binary64) a)`
13.4%	1	`c`
13.4%	1	`b`

Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch49.0ms (0.6%)

Memory

26.3MiB live, 100.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.198166550032081e-62	3.6519012368485165e-48
15.0ms	-4.118884897959378e+161	-5.511215164316042e+159

Samples

20.0ms	216×	0	valid
5.0ms	28×	2	valid
4.0ms	28×	1	valid
3.0ms	36×	0	invalid

Compiler

Compiled 391 to 389 computations (0.5% saved)

Precisions

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

ival-mult: 6.0ms (30.5% of total)

ival-div: 3.0ms (15.3% of total)

ival-sqrt: 3.0ms (15.3% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

ival-neg: 2.0ms (10.2% of total)

adjust: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

-29.7MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.198166550032081e-62	3.6519012368485165e-48
1.0ms	-4.118884897959378e+161	-5.511215164316042e+159

Compiler

Compiled 391 to 389 computations (0.5% saved)

bsearch30.0ms (0.4%)

Memory

-34.6MiB live, 41.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.198166550032081e-62	3.6519012368485165e-48
15.0ms	-1.918916269178507e-15	-1.0868871946544116e-17

Samples

9.0ms	112×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 399 to 410 computations (-2.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.5% of total)

ival-div: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

ival-sub: 1.0ms (15.2% of total)

ival-sqrt: 1.0ms (15.2% of total)

ival-neg: 1.0ms (15.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.198166550032081e-62	3.6519012368485165e-48
1.0ms	-1.918916269178507e-15	-1.0868871946544116e-17

Compiler

Compiled 385 to 403 computations (-4.7% saved)

bsearch3.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.198166550032081e-62	3.6519012368485165e-48
1.0ms	-1.918916269178507e-15	-1.0868871946544116e-17

Compiler

Compiled 385 to 403 computations (-4.7% saved)

bsearch27.0ms (0.3%)

Memory

9.2MiB live, 47.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-7.842884079470092e-306	1.0281826179543124e-302

Samples

11.0ms	144×	0	valid
4.0ms	52×	0	invalid

Compiler

Compiled 182 to 198 computations (-8.8% saved)

Precisions

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

ival-mult: 4.0ms (41.1% of total)

ival-div: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

ival-sub: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.842884079470092e-306	1.0281826179543124e-302

Compiler

Compiled 146 to 180 computations (-23.3% saved)

bsearch1.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.842884079470092e-306	1.0281826179543124e-302

Compiler

Compiled 146 to 180 computations (-23.3% saved)

bsearch1.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.842884079470092e-306	1.0281826179543124e-302

Compiler

Compiled 128 to 162 computations (-26.6% saved)

bsearch1.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.842884079470092e-306	1.0281826179543124e-302

Compiler

Compiled 128 to 162 computations (-26.6% saved)

bsearch52.0ms (0.6%)

Memory

-14.3MiB live, 21.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	1.7526675497330963e+26	4.5519057812706547e+30

Samples

30.0ms	40×	1	valid
8.0ms	41×	2	valid
3.0ms	41×	0	valid
2.0ms	6×	3	valid
1.0ms	7×	0	invalid

Compiler

Compiled 124 to 154 computations (-24.2% saved)

Precisions

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

ival-div: 26.0ms (68.8% of total)

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

adjust: 2.0ms (5.3% of total)

ival-sub: 2.0ms (5.3% of total)

ival-sqrt: 2.0ms (5.3% of total)

ival-add: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify29.0ms (0.4%)

Memory

-11.2MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	790
1	129	790
2	145	790
3	158	790
4	164	790
5	166	790

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -5600000000000000223863996391341602601231553390966287931247241505389755647138799017328093334779702747275517967114336709298115933167581750726341888001542555959296 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -5600000000000000223863996391341602601231553390966287931247241505389755647138799017328093334779702747275517967114336709298115933167581750726341888001542555959296 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b))))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b))))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) #s(approx (+ ( (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 289999999999999998355832832 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))

Outputs
(if (<=.f64 b #s(literal -5600000000000000223863996391341602601231553390966287931247241505389755647138799017328093334779702747275517967114336709298115933167581750726341888001542555959296 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -5600000000000000223863996391341602601231553390966287931247241505389755647138799017328093334779702747275517967114336709298115933167581750726341888001542555959296 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 a #s(literal 3 binary64))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -5600000000000000223863996391341602601231553390966287931247241505389755647138799017328093334779702747275517967114336709298115933167581750726341888001542555959296 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -5600000000000000223863996391341602601231553390966287931247241505389755647138799017328093334779702747275517967114336709298115933167581750726341888001542555959296 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 a #s(literal 3 binary64))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (.f64 (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b))))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b))))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b))))) (if (<=.f64 b #s(literal 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 a c) #s(literal -3 binary64)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
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(if (<=.f64 b #s(literal 289999999999999998355832832 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))

soundness994.0ms (12.4%)

Memory

12.0MiB live, 726.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	217
0	61	215
1	212	207
2	1501	207
0	8742	207
0	1082	13190
1	3604	12999
0	8126	12417
0	1161	14373
1	3839	14093
0	8114	13468
0	12	56
0	20	56
1	71	54
2	525	53
3	6836	53
0	8125	49
0	560	3586
1	1767	3563
2	6210	3520
0	8259	3350

Stop Event

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

Compiler

Compiled 693 to 413 computations (40.4% saved)

preprocess76.0ms (0.9%)

Memory: 31.4MiB live, 179.4MiB allocated
Compiler: Compiled 648 to 190 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze148.0ms (1.8%)

sample1.7s (21.6%)

explain168.0ms (2.1%)

preprocess120.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (0.8%)

localize54.0ms (0.7%)

series34.0ms (0.4%)

simplify185.0ms (2.3%)

rewrite145.0ms (1.8%)

eval84.0ms (1%)

prune43.0ms (0.5%)

simplify163.0ms (2%)

localize138.0ms (1.7%)

series58.0ms (0.7%)

simplify200.0ms (2.5%)

rewrite181.0ms (2.3%)

eval281.0ms (3.5%)

prune73.0ms (0.9%)

simplify271.0ms (3.4%)

localize162.0ms (2%)

series59.0ms (0.7%)

simplify220.0ms (2.7%)

rewrite181.0ms (2.3%)

eval545.0ms (6.8%)

prune79.0ms (1%)

simplify110.0ms (1.4%)

localize196.0ms (2.4%)

series76.0ms (0.9%)

simplify241.0ms (3%)

rewrite193.0ms (2.4%)

eval226.0ms (2.8%)

prune68.0ms (0.9%)

regimes131.0ms (1.6%)

regimes22.0ms (0.3%)

regimes13.0ms (0.2%)

regimes16.0ms (0.2%)

regimes12.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch49.0ms (0.6%)

bsearch8.0ms (0.1%)

bsearch30.0ms (0.4%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch27.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0.6%)

simplify29.0ms (0.4%)

soundness994.0ms (12.4%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling