Metrics for Cubic critical

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze189.0ms (1.6%)

Memory

-19.9MiB live, 232.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (13.3%)

Memory

52.3MiB live, 2 379.0MiB allocated

Samples

551.0ms	5 591×	0	valid
249.0ms	1 317×	1	valid
240.0ms	1 190×	2	valid
80.0ms	954×	0	invalid
42.0ms	158×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 868.0ms

ival-mult: 310.0ms (35.7% of total)

ival-sqrt: 117.0ms (13.5% of total)

ival-add: 97.0ms (11.2% of total)

ival-div: 95.0ms (10.9% of total)

adjust: 82.0ms (9.4% of total)

ival-neg: 78.0ms (9% of total)

ival-sub: 72.0ms (8.3% of total)

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

exact: 6.0ms (0.7% of total)

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

Bogosity

explain172.0ms (1.5%)

Memory

27.7MiB live, 342.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	1	(-4.792509295656241e-141 -6.030816241202453e-222 4.4563888972311437e-178)	`(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))))`
18	-	2	(-3.2462863533522074e-71 4.747929975028886e-14 -5.540349571514956e-261)	`(/.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))`
5	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
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	105	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	30
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	105
`+.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	16	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	5
↳	`(*.f64 b b)`	underflow	32
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	26
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	32
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	36
↳	`(-.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	5	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	30

Confusion

	Predicted +	Predicted -
+	134	1
-	24	97

Precision

0.8481012658227848

Recall

0.9925925925925926

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	1
-	24	0	97

Precision?

0.8481012658227848

Recall?

0.9925925925925926

Freqs

test

number	freq
0	98
1	125
2	30
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	338×	0	valid
19.0ms	80×	2	valid
14.0ms	80×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (31.5% of total)

ival-sqrt: 6.0ms (14.5% of total)

adjust: 5.0ms (12.1% of total)

ival-div: 5.0ms (12.1% of total)

ival-sub: 4.0ms (9.7% of total)

ival-add: 4.0ms (9.7% of total)

ival-neg: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess127.0ms (1.1%)

Memory

11.7MiB live, 120.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 20 to 12 computations (40% saved)

eval0.0ms (0%)

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

prune14.0ms (0.1%)

Memory

-34.6MiB live, 10.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify75.0ms (0.6%)

Memory

32.2MiB live, 69.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.5%)

Memory

1.7MiB live, 119.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0039062500000002	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy	4.301705741158675	(/.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	14.178385847341499	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy	25.880185733053725	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

15.0ms	169×	0	valid
11.0ms	40×	2	valid
7.0ms	40×	1	valid
2.0ms	7×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-mult: 5.0ms (23.2% of total)

ival-add: 4.0ms (18.6% of total)

ival-div: 3.0ms (13.9% of total)

ival-sqrt: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% of total)

adjust: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-15.6MiB live, 63.3MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify342.0ms (2.9%)

Memory

-23.7MiB live, 362.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite230.0ms (2%)

Memory

7.1MiB live, 315.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

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

eval107.0ms (0.9%)

Memory: -15.6MiB live, 155.0MiB allocated
Compiler: Compiled 22 670 to 2 107 computations (90.7% saved)

prune115.0ms (1%)

Memory

-5.8MiB live, 193.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

90.9%

Counts

594 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	48.5%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
	49.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	49.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	30.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	45.1%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	25.5%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
▶	32.3%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
	27.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	35.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
▶	32.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
	32.3%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	32.3%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	36.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
▶	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
▶	34.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))

Compiler

Compiled 606 to 396 computations (34.7% saved)

simplify248.0ms (2.1%)

Memory

37.8MiB live, 192.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
cost-diff	0	(*.f64 #s(literal 3 binary64) a)
cost-diff	0	(/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
cost-diff	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
cost-diff	0	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
cost-diff	448	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
cost-diff	0	(*.f64 b #s(literal -2/3 binary64))
cost-diff	0	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))

Rules

3 844×	`lower-fma.f32`
3 838×	`lower-fma.f64`
2 664×	`lower-*.f32`
2 650×	`lower-*.f64`
1 442×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	309
0	68	307
1	116	301
2	217	301
3	420	301
4	901	301
5	1922	297
6	3543	297
7	4400	297
8	5126	297
9	5702	297
10	5950	297
11	5975	297
12	6612	297
13	6897	297
14	6899	297
15	6901	297
16	6901	297
17	7503	297
18	7903	297
0	8019	295

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (2.1%)

Memory

0.5MiB live, 356.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.349198537617059	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
accuracy	2.382143346611752	(/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
accuracy	14.608771772016953	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
accuracy	25.880185733053693	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
accuracy	0.34375	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
accuracy	2.476907427562843	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
accuracy	14.608771772016953	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
accuracy	25.880185733053693	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
accuracy	1.2826647775260163	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
accuracy	2.5125112461426666	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
accuracy	4.174787221369403	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
accuracy	41.23690633891971	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
accuracy	0.18359375	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
accuracy	0.2890625	(*.f64 b #s(literal -2/3 binary64))
accuracy	41.32446074909482	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
accuracy	0.08203125	(fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))
accuracy	4.301705741158675	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy	14.178385847341499	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))
accuracy	25.880185733053725	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))

Samples

86.0ms	79×	1	valid
58.0ms	78×	2	valid
34.0ms	86×	0	valid
10.0ms	13×	3	valid

Compiler

Compiled 307 to 42 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 52.0ms (38.3% of total)

ival-div: 20.0ms (14.7% of total)

ival-add: 18.0ms (13.3% of total)

const: 17.0ms (12.5% of total)

adjust: 14.0ms (10.3% of total)

ival-sqrt: 9.0ms (6.6% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series62.0ms (0.5%)

Memory

-13.5MiB live, 105.2MiB allocated

Counts

19 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
7.0ms	b	@	-inf	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
6.0ms	a	@	inf	(* 3 a)
4.0ms	b	@	inf	(/ (* b -2/3) a)
3.0ms	b	@	-inf	(/ -1/2 (* b b))
2.0ms	a	@	inf	(/ (* b -2/3) a)

simplify379.0ms (3.2%)

Memory

40.2MiB live, 610.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 338×	`lower-fma.f64`
8 338×	`lower-fma.f32`
6 630×	`lower-*.f64`
6 630×	`lower-*.f32`
6 232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1102	12752
1	3603	12535
0	8052	11945

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 570

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b)) (.f64 (.f64 a c) #s(literal -3/2 binary64))) 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)
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b
(+ b (* -3/2 (/ (* a c) b)))
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(* (sqrt (* a c)) (sqrt -3))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
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b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
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(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 b)
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(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
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(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* 2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)
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(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
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(fma.f64 c (fma.f64 (/.f64 (.f64 c (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) #s(literal 27/16 binary64) (/.f64 (.f64 #s(literal 9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 a #s(literal 3/2 binary64)) b))
(+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 c #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (.f64 #s(literal 27/16 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 a #s(literal 3/2 binary64)) b))
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) c)
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -3 binary64) b) #s(literal -3 binary64))) c)
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))) c)
(/.f64 (fma.f64 #s(literal -3 binary64) (+.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64)) (.f64 c c))) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c)
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))) c)
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 (.f64 b (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 c c) (.f64 b (.f64 b b))) (.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)))))) (.f64 c (.f64 c c))) (fma.f64 #s(literal -3 binary64) (+.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64)) (.f64 c c))) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c)
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(.f64 #s(literal -3 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))
(* -1 (/ (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c))
(/.f64 (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 #s(literal -3 binary64) b) #s(literal 3 binary64))) (neg.f64 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))
(/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 b (/.f64 c #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (*.f64 c c)) a))) #s(literal -1/2 binary64)) c))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4))))) c))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c))
(/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 c b)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 c c) (.f64 b (.f64 b b)))) (.f64 a (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) c) (.f64 #s(literal -3 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64)))) c)) c)) (neg.f64 c))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(* -3 (* a c))
(.f64 (.f64 a c) #s(literal -3 binary64))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (.f64 b b) a)))
(* -3 (* a c))
(.f64 (.f64 a c) #s(literal -3 binary64))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(.f64 (-.f64 (.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(.f64 (-.f64 (.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(.f64 (-.f64 (.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(* -3 (* a c))
(.f64 (.f64 a c) #s(literal -3 binary64))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (.f64 b b) c)))
(* -3 (* a c))
(.f64 (.f64 a c) #s(literal -3 binary64))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(.f64 (-.f64 (.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(.f64 (-.f64 (.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(.f64 (-.f64 (.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -3 (* a c))
(.f64 (.f64 a c) #s(literal -3 binary64))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))

rewrite310.0ms (2.7%)

Memory

-22.9MiB live, 585.5MiB allocated

Rules

4 860×	`lower-/.f32`
4 846×	`lower-/.f64`
4 602×	`lower-fma.f32`
4 596×	`lower-fma.f64`
4 010×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	220
0	68	218
1	254	212
2	1772	212
0	8749	212

Stop Event

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

Counts

19 → 901

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))
(+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (neg.f64 b))
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))
(-.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 0 binary64)) b)
(-.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (neg.f64 b))) (/.f64 (.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) (neg.f64 b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (*.f64 b b)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)))) (neg.f64 b))
(fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) #s(literal 1/4 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (-.f64 (.f64 b b) (.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))) (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (neg.f64 b)) (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b))))
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(/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (neg.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (neg.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a)))))) (.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))))) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) (.f64 (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (*.f64 b b)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (*.f64 b b)))))))
(pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (*.f64 a c))))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (*.f64 a c))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (*.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))

eval218.0ms (1.9%)

Memory: 3.4MiB live, 514.3MiB allocated
Compiler: Compiled 49 722 to 4 054 computations (91.8% saved)

prune649.0ms (5.6%)

Memory

-3.0MiB live, 532.7MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 633	24	1 657
Fresh	6	6	12
Picked	3	2	5
Done	0	0	0
Total	1 642	32	1 674

Accuracy

91.1%

Counts

1 674 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal 3 binary64)) a)
	30.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	30.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	25.5%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
✓	32.3%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
	31.7%	(/.f64 (.f64 (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))) #s(literal 1/3 binary64)) a)
▶	11.4%	(/.f64 (.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) a)
	27.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
▶	35.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
	20.6%	(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c (.f64 a a))) (.f64 b (.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
	2.4%	(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (fma.f64 b #s(literal 2/3 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b))) a)
	2.6%	(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) a)
	11.4%	(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b))) a)
	32.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64)))))) #s(literal 1/3 binary64))))
	11.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
	22.9%	(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) #s(literal 3 binary64)))
▶	49.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64))
	49.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b))
	36.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
✓	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	11.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
▶	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 b (/.f64 #s(literal 1 binary64) a))))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
	25.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 c #s(literal 1/2 binary64) (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 b b) a))) b)))
	11.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
▶	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	2.4%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))

Compiler

Compiled 975 to 624 computations (36% saved)

simplify163.0ms (1.4%)

Memory

19.4MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 c (.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
cost-diff	0	(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
cost-diff	320	(fma.f64 a (.f64 (/.f64 c (.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
cost-diff	0	(.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64))
cost-diff	0	#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64)))
cost-diff	0	(.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) a)
cost-diff	0	(*.f64 #s(literal 3 binary64) a)
cost-diff	0	(*.f64 b #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
cost-diff	0	(/.f64 b a)
cost-diff	0	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
cost-diff	0	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) a)
cost-diff	0	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64))

Rules

3 996×	`lower-fma.f32`
3 992×	`lower-fma.f64`
2 578×	`lower-*.f32`
2 552×	`lower-*.f64`
1 388×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	332
0	80	316
1	146	310
2	274	310
3	616	310
4	1131	310
5	1480	310
6	1930	310
7	3127	310
8	5485	310
9	7478	310
0	8037	310

Stop Event

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

Calls

Call 1

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

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

localize308.0ms (2.6%)

Memory

-2.2MiB live, 273.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.3711110497658627	(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
accuracy	2.644269540137352	(fma.f64 a (.f64 (/.f64 c (.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
accuracy	4.845069873266068	(/.f64 c (.f64 b (.f64 b b)))
accuracy	40.769714878208404	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
accuracy	0.34375	(.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
accuracy	2.476907427562843	(/.f64 (.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) a)
accuracy	5.290718496793386	(/.f64 (*.f64 a c) b)
accuracy	41.54871957174274	#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 a c) b) #s(literal 3/2 binary64)))
accuracy	0	(*.f64 b #s(literal -2 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) a)
accuracy	4.301705741158675	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
accuracy	41.485334639465144	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64)))
accuracy	0	(/.f64 b a)
accuracy	0.2890625	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
accuracy	40.48353758087938	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
accuracy	1.249986238027801	(fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))
accuracy	4.175301452957707	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) a)
accuracy	14.178385847341499	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)
accuracy	25.880185733053725	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))

Samples

131.0ms	78×	2	valid
60.0ms	80×	1	valid
27.0ms	86×	0	valid
9.0ms	12×	3	valid

Compiler

Compiled 286 to 48 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-mult: 63.0ms (43.1% of total)

const: 28.0ms (19.2% of total)

ival-div: 16.0ms (11% of total)

adjust: 14.0ms (9.6% of total)

ival-add: 10.0ms (6.8% of total)

ival-sqrt: 10.0ms (6.8% of total)

ival-sub: 4.0ms (2.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series76.0ms (0.6%)

Memory

-8.9MiB live, 69.3MiB allocated

Counts

22 → 696

Calls

Call 1

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

Outputs
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<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))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<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))))))>
#<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)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<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)))))>
#<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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<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)))))>
#<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)))))>
#<alt (* (sqrt (/ c a)) (sqrt -3))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* 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)))>
#<alt (* -3/2 (/ c b))>
#<alt (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 (/ b a))>
#<alt (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))>
#<alt (* -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)))))))>
#<alt (* -3/2 (/ c b))>
#<alt (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))>
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#<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)))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* 2 b)>
#<alt (+ (* -3/2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (/ -1/2 b)>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))>
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))>
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))>
#<alt (/ -1/2 b)>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))>
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))>
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))>
#<alt (/ -1/2 b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ -1/2 b)>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<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)))))>
#<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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<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)))))>
#<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)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<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))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<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))))))>
#<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)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3 (* a c))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>

Calls

174 calls:

Time	Variable		Point	Expression
9.0ms	b	@	inf	(/ c (* b (* b b)))
1.0ms	a	@	0	(+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))
1.0ms	c	@	0	(* (/ c (* b (* b b))) -3/8)
1.0ms	a	@	0	(* (/ (* a c) b) 3/2)
1.0ms	b	@	0	(* (/ (* a c) b) 3/2)

simplify874.0ms (7.5%)

Memory

-117.8MiB live, 552.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 662×	`lower-fma.f64`
13 662×	`lower-fma.f32`
9 384×	`lower-*.f64`
9 384×	`lower-*.f32`
5 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	944	13156
1	3104	13053
0	9051	12470

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 693

Calls

Call 1

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

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

rewrite423.0ms (3.6%)

Memory

29.2MiB live, 422.6MiB allocated

Rules

5 486×	`lower-fma.f32`
5 482×	`lower-fma.f64`
4 352×	`lower-*.f32`
4 326×	`lower-*.f64`
4 276×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	288
0	79	274
1	288	268
2	2011	268
0	8689	268

Stop Event

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

Counts

22 → 764

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 0 binary64)) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64)))))))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64)))))))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
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(pow.f64 (/.f64 (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (fma.f64 (.f64 c #s(literal 3 binary64)) a (*.f64 b b)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 c a) (.f64 c a))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b))))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 c a) (.f64 c a))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (*.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c #s(literal 3 binary64)) a (.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 b (.f64 c a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 c a) (neg.f64 b)))
(neg.f64 (/.f64 (*.f64 c a) (neg.f64 b)))
(neg.f64 (/.f64 (*.f64 c (neg.f64 a)) b))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c (neg.f64 a)) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 c a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 c (neg.f64 a))) (neg.f64 (neg.f64 b)))
(/.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) b)
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) #s(literal -1 binary64)) b)
(/.f64 (neg.f64 (neg.f64 (*.f64 c (neg.f64 a)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (.f64 (.f64 c a) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 c (neg.f64 a)) #s(literal -1 binary64))) (neg.f64 b))
(pow.f64 (/.f64 b (*.f64 c a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(.f64 (.f64 c a) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 c (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) b))
(*.f64 (/.f64 a b) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c a))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)) #s(literal -1 binary64)))
(*.f64 (/.f64 c b) a)
(*.f64 (/.f64 c b) (/.f64 a #s(literal 1 binary64)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c b))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) b))
(.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a b))
(*.f64 (/.f64 (neg.f64 a) b) (/.f64 c #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 b (*.f64 b b)) c)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 c (.f64 b (.f64 b b))))
(neg.f64 (/.f64 c (.f64 b (.f64 b b))))
(/.f64 c (.f64 b (.f64 b b)))
(/.f64 (neg.f64 c) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b (.f64 b b)) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (/.f64 c b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 b (.f64 b b)) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b (.f64 b b)) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) c) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (/.f64 c b))))
(/.f64 (/.f64 c b) (*.f64 b b))
(/.f64 (neg.f64 (neg.f64 c)) (.f64 b (.f64 b b)))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 c (*.f64 b b)) b)
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b (*.f64 b b)))
(/.f64 (/.f64 (/.f64 c b) b) b)
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (.f64 b (.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 c b))) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (/.f64 c (*.f64 b b))) (neg.f64 b))
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (.f64 b (*.f64 b b)))
(/.f64 (neg.f64 (/.f64 (/.f64 c b) b)) (neg.f64 b))
(pow.f64 (/.f64 (.f64 b (.f64 b b)) c) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) c) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b b) (/.f64 c b)) #s(literal -1 binary64))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))
(.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))
(.f64 #s(literal 1 binary64) (/.f64 c (.f64 b (*.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))) c)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (.f64 b b) c) #s(literal -1 binary64)))
(.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 (/.f64 #s(literal 1 binary64) b) b))
(.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 c b))
(*.f64 (/.f64 c (neg.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 b)))
(.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c (.f64 b b)))
(.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c (neg.f64 (.f64 b b))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 b b)) (/.f64 c b))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 b b)) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (/.f64 c (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))))
(.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (.f64 b (neg.f64 b))))
(.f64 (/.f64 c (.f64 (neg.f64 b) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) b))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 c (pow.f64 b #s(literal 3/2 binary64))))

eval335.0ms (2.9%)

Memory: 19.1MiB live, 384.9MiB allocated
Compiler: Compiled 40 204 to 3 990 computations (90.1% saved)

prune216.0ms (1.9%)

Memory

1.1MiB live, 532.7MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	1 436	21	1 457
Fresh	7	18	25
Picked	2	3	5
Done	0	2	2
Total	1 445	44	1 489

Accuracy

91.1%

Counts

1 489 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal 3 binary64)) a)
	35.4%	(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64))
	30.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
▶	30.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
✓	32.3%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
	31.7%	(/.f64 (.f64 (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))) #s(literal 1/3 binary64)) a)
	11.6%	(/.f64 (.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (.f64 #s(literal 3/2 binary64) a) (/.f64 c b))) #s(literal 1/3 binary64)) a)
	27.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
✓	35.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
	2.4%	(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (fma.f64 b #s(literal 2/3 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b))) a)
	11.4%	(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b)) a)
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64)))))
▶	49.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64))))
	11.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
	21.2%	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 b b)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64)))))))) #s(literal 1/3 binary64))
	25.9%	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 b b)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) #s(literal 3 binary64)))
✓	49.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64))
	30.1%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b b) (* c (* a -3))) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) a) #s(literal 1/3 binary64))
	12.2%	(.f64 (/.f64 (-.f64 #s(approx (sqrt (+ ( b b) (* c (* a -3)))) (fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b)) b) a) #s(literal 1/3 binary64))
	27.8%	(.f64 (/.f64 #s(approx (- (sqrt (+ ( b b) (* c (* a -3)))) b) (/.f64 (.f64 c (.f64 a #s(literal -3/2 binary64))) b)) a) #s(literal 1/3 binary64))
	49.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b))
	11.4%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 c a) b) #s(literal 3/2 binary64))))
	35.3%	(.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
▶	36.4%	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (.f64 c #s(literal -3/8 binary64)) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
	36.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
✓	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	11.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
	36.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b))))
	36.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 b (/.f64 #s(literal 1 binary64) a))))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
▶	35.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
	25.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 c #s(literal 1/2 binary64) (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 b b) a))) b)))
	11.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
✓	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 2/3 binary64)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 (.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal 2/3 binary64)))
	6.4%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal 2/3 binary64)))
▶	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2/3 binary64))))

Compiler

Compiled 1 231 to 808 computations (34.4% saved)

simplify277.0ms (2.4%)

Memory

-1.2MiB live, 284.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

18 138×	`lower-fma.f32`
18 134×	`lower-fma.f64`
2 562×	`lower-*.f32`
2 542×	`lower-*.f64`
2 270×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	69	357
0	94	356
1	161	352
2	268	350
3	558	347
4	1210	347
5	2197	338
6	4247	338
7	5490	338
8	6524	338
9	7094	338
10	7374	338
11	7392	338
0	8346	338

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (2%)

Memory

-11.6MiB live, 385.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.301705741158675	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
accuracy	14.178385847341499	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64)))))
accuracy	25.880185733053725	(sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64))))
accuracy	40.85530926028124	#s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64)))
accuracy	0	#s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
accuracy	0.2890625	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
accuracy	41.23690633891971	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
accuracy	0	(*.f64 c #s(literal -3/2 binary64))
accuracy	0.1328125	(/.f64 (*.f64 c #s(literal -3/2 binary64)) b)
accuracy	0.3203125	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
accuracy	40.60352836724749	#s(approx (/ (- (sqrt (+ (* b b) (* c (* a -3)))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))
accuracy	0.21484375	(*.f64 b (/.f64 #s(literal 2/3 binary64) a))
accuracy	0.359375	(/.f64 #s(literal 2/3 binary64) a)
accuracy	40.48353758087938	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
accuracy	1.249986238027801	(fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))
accuracy	4.154620356579681	(/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)))
accuracy	14.178385847341499	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)
accuracy	25.880185733053725	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))

Samples

61.0ms	72×	2	valid
60.0ms	83×	1	valid
39.0ms	86×	0	valid
17.0ms	15×	3	valid

Compiler

Compiled 289 to 59 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 33.0ms (25.1% of total)

ival-div: 26.0ms (19.8% of total)

adjust: 19.0ms (14.4% of total)

ival-sqrt: 17.0ms (12.9% of total)

ival-add: 16.0ms (12.2% of total)

const: 14.0ms (10.6% of total)

ival-sub: 4.0ms (3% of total)

exact: 1.0ms (0.8% of total)

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

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

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

series38.0ms (0.3%)

Memory

-9.4MiB live, 64.7MiB allocated

Counts

23 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(/ c b)
1.0ms	c	@	inf	(/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3))
1.0ms	a	@	0	(/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3))
1.0ms	c	@	-inf	(/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3))
1.0ms	a	@	-inf	(/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3))

simplify415.0ms (3.6%)

Memory

16.9MiB live, 423.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 526×	`lower-fma.f64`
7 526×	`lower-fma.f32`
7 272×	`lower-*.f64`
7 272×	`lower-*.f32`
5 864×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1153	14538
1	3838	14335
0	8184	13678

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 702

Calls

Call 1

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

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

rewrite478.0ms (4.1%)

Memory

-10.6MiB live, 403.0MiB allocated

Rules

4 702×	`lower-*.f32`
4 682×	`lower-*.f64`
4 614×	`lower-/.f32`
4 600×	`lower-/.f64`
3 900×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	312
0	94	307
1	351	301
2	2465	301
0	8897	299

Stop Event

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

Counts

23 → 644

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (*.f64 a #s(literal -3 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (*.f64 a c))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)))) (neg.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b)))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))))) (.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b)))) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))) (.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (*.f64 a c)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))))
(pow.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -27 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -27 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -27 binary64))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b)))))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -3 binary64))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b))) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b (neg.f64 b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 2/3 binary64) (neg.f64 (/.f64 a b)))
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (neg.f64 (*.f64 b #s(literal -2/3 binary64))) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 b)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b) #s(literal -2/3 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 b #s(literal -2/3 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) #s(literal -2/3 binary64))) (neg.f64 (neg.f64 a)))
(pow.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(.f64 (.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (log.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))) #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal 1/2 binary64)))
(fabs.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))
(sqrt.f64 (.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))) #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))
#s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))
(pow.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))) #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))))

eval174.0ms (1.5%)

Memory: 23.6MiB live, 405.8MiB allocated
Compiler: Compiled 36 147 to 3 785 computations (89.5% saved)

prune211.0ms (1.8%)

Memory

-8.3MiB live, 553.4MiB allocated

Pruning

51 alts after pruning (45 fresh and 6 done)

	Pruned	Kept	Total
New	1 326	20	1 346
Fresh	9	25	34
Picked	2	3	5
Done	2	3	5
Total	1 339	51	1 390

Accuracy

91.2%

Counts

1 390 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64))
	30.2%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64)))
✓	30.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 (.f64 a c) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	28.7%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a))
	29.1%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))))
	30.1%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
	31.7%	(/.f64 (.f64 (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))))) #s(literal 1/3 binary64)) a)
	11.6%	(/.f64 (.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (.f64 #s(literal 3/2 binary64) a) (/.f64 c b))) #s(literal 1/3 binary64)) a)
	27.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
✓	35.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
	11.4%	(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b)) a)
	30.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b)))
	30.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64))))
	11.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2 binary64)) c)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
	36.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)))
	36.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c)))))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (*.f64 #s(literal -2 binary64) (/.f64 b c))))
	25.9%	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))) (.f64 b b)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))))) #s(literal 3 binary64)))
	30.1%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b b) (* c (* a -3))) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) a) #s(literal 1/3 binary64))
	12.2%	(.f64 (/.f64 (-.f64 #s(approx (sqrt (+ ( b b) (* c (* a -3)))) (fma.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) b)) b) a) #s(literal 1/3 binary64))
	27.8%	(.f64 (/.f64 #s(approx (- (sqrt (+ ( b b) (* c (* a -3)))) b) (/.f64 (.f64 c (.f64 a #s(literal -3/2 binary64))) b)) a) #s(literal 1/3 binary64))
	30.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b))
	11.4%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 (/.f64 (.f64 c a) b) #s(literal 3/2 binary64))))
	35.3%	(.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
✓	36.4%	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
	36.4%	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))
	36.4%	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
	36.4%	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 1/3 binary64))
	16.6%	(.f64 #s(approx (/ (- (sqrt (+ ( b b) (* c (* a -3)))) b) a) (exp.f64 (.f64 (log.f64 (/.f64 b (.f64 c #s(literal -3/2 binary64)))) #s(literal -1 binary64)))) #s(literal 1/3 binary64))
	36.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
✓	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	11.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
	36.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b))))
	36.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 b (/.f64 #s(literal 1 binary64) a))))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))))
	17.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) (.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
	11.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (/.f64 b (*.f64 a #s(literal 3/2 binary64))))
✓	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 2/3 binary64)))
	6.4%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal 2/3 binary64)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal 3/2 binary64)))))
✓	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
	2.6%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2/3 binary64))))
	1.3%	#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (.f64 b (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))))

Compiler

Compiled 1 808 to 783 computations (56.7% saved)

regimes129.0ms (1.1%)

Memory

1.0MiB live, 286.3MiB allocated

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

31.0ms	a
25.0ms	(*.f64 #s(literal 3 binary64) a)
24.0ms	b
22.0ms	c
22.0ms	(/.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
49.7%	1	`a`
85.7%	3	`b`
49.7%	1	`c`
75.4%	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))`
49.7%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes21.0ms (0.2%)

Memory

-28.4MiB live, 49.8MiB allocated

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
85.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Memory

2.4MiB live, 47.1MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
85.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory

6.5MiB live, 45.6MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
85.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

8.9MiB live, 47.8MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
82.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Memory

11.5MiB live, 50.6MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
82.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Memory

-6.6MiB live, 70.2MiB allocated

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

3.5MiB live, 42.0MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-1.6MiB live, 37.5MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory

-19.2MiB live, 65.8MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	b
11.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
53.7%	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))`
69.6%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
69.6%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-9.1MiB live, 30.5MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
69.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-13.5MiB live, 25.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
69.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
69.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-32.0MiB live, 13.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
69.1%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.0%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.0%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-11.7MiB live, 61.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	b
5.0ms	(*.f64 #s(literal 3 binary64) a)
3.0ms	c
3.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
36.4%	1	`a`
36.4%	1	`(*.f64 #s(literal 3 binary64) a)`
36.4%	1	`c`
36.4%	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))`
36.4%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory

-6.0MiB live, 33.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(/.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	c
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
11.5%	1	`b`
11.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
11.5%	1	`a`
11.5%	1	`(*.f64 #s(literal 3 binary64) a)`
11.5%	1	`c`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
2.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
2.6%	1	`a`
2.6%	1	`(*.f64 #s(literal 3 binary64) a)`
2.6%	1	`c`
2.6%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch47.0ms (0.4%)

Memory

-37.8MiB live, 84.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.793354933850085e-18	2.8406695952918943e-16
21.0ms	-2.1592432488138562e+45	-4.096784924657995e+34

Samples

18.0ms	219×	0	valid
4.0ms	22×	2	valid
4.0ms	31×	1	valid
3.0ms	36×	0	invalid

Compiler

Compiled 659 to 423 computations (35.8% saved)

Precisions

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

ival-mult: 8.0ms (39.9% of total)

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

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

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

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

adjust: 1.0ms (5% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-2.1592432488138562e+45	-4.096784924657995e+34

Compiler

Compiled 642 to 440 computations (31.5% saved)

bsearch14.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
12.0ms	-2.1592432488138562e+45	-4.096784924657995e+34

Samples

7.0ms	96×	0	valid
1.0ms	10×	0	invalid

Compiler

Compiled 625 to 423 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (40.7% of total)

ival-div: 1.0ms (20.3% of total)

ival-sub: 1.0ms (20.3% of total)

ival-sqrt: 1.0ms (20.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

3.8MiB live, 43.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
14.0ms	-3.7122215646256125e+66	-1.479326062578094e+65

Samples

8.0ms	112×	0	valid
1.0ms	10×	0	invalid

Compiler

Compiled 492 to 347 computations (29.5% saved)

Precisions

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

ival-mult: 2.0ms (35% of total)

ival-div: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

ival-sub: 1.0ms (17.5% of total)

ival-sqrt: 1.0ms (17.5% of total)

ival-neg: 1.0ms (17.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory

-13.9MiB live, 100.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.793354933850085e-18	2.8406695952918943e-16
28.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Samples

17.0ms	185×	0	valid
4.0ms	19×	2	valid
4.0ms	50×	0	invalid
3.0ms	20×	1	valid

Compiler

Compiled 591 to 406 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (31% of total)

ival-mult: 5.0ms (25.9% of total)

ival-sub: 2.0ms (10.3% of total)

ival-sqrt: 2.0ms (10.3% of total)

ival-add: 2.0ms (10.3% of total)

adjust: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 542 to 371 computations (31.5% saved)

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 542 to 371 computations (31.5% saved)

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 542 to 371 computations (31.5% saved)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 542 to 371 computations (31.5% saved)

bsearch32.0ms (0.3%)

Memory

-30.6MiB live, 53.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Samples

13.0ms	160×	0	valid
8.0ms	80×	0	invalid

Compiler

Compiled 283 to 188 computations (33.6% saved)

Precisions

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

ival-mult: 4.0ms (30.1% of total)

ival-neg: 3.0ms (22.6% of total)

ival-div: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 283 to 188 computations (33.6% saved)

bsearch27.0ms (0.2%)

Memory

2.3MiB live, 40.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Samples

9.0ms	128×	0	valid
5.0ms	68×	0	invalid

Compiler

Compiled 243 to 178 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.1% of total)

ival-div: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

ival-sub: 1.0ms (11% of total)

ival-sqrt: 1.0ms (11% of total)

ival-neg: 1.0ms (11% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 243 to 178 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 223 to 158 computations (29.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 233 to 158 computations (32.2% 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	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 233 to 158 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 233 to 158 computations (32.2% saved)

simplify28.0ms (0.2%)

Memory

-3.4MiB live, 69.2MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
24×	`+-commutative_binary64`
20×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	1430
1	204	1428
2	227	1428
3	238	1428
4	246	1428
5	249	1428

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a ( (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -20500000000000000223815837802529889473003520 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -3599999999999999877989285757033031864583391087150183135180776013824 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ a ( (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* c (* a -3))) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

Outputs
(if (<=.f64 b #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a ( (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal 3 binary64) a)))) b) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a ( (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -20500000000000000223815837802529889473003520 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -20500000000000000223815837802529889473003520 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -3599999999999999877989285757033031864583391087150183135180776013824 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -3599999999999999877989285757033031864583391087150183135180776013824 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (* (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ a ( (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a ( (- (sqrt (+ (* b b) (* c (* a -3)))) b) 1/3)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* c (* a -3))) (.f64 #s(literal -3 binary64) (.f64 c a)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* c (* a -3))) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6524880861696401/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 #s(literal -2/3 binary64) (/.f64 b a))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (/.f64 #s(literal -2/3 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
#s(approx (/ (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) a) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

soundness1.6s (13.8%)

Memory

9.0MiB live, 1 571.6MiB allocated

Rules

13 662×	`lower-fma.f64`
13 662×	`lower-fma.f32`
10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
9 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1102	12752
1	3603	12535
0	8052	11945
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44
0	1153	14538
1	3838	14335
0	8184	13678
0	54	288
0	79	274
1	288	268
2	2011	268
0	8689	268
0	69	312
0	94	307
1	351	301
2	2465	301
0	8897	299
0	944	13156
1	3104	13053
0	9051	12470
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	42	220
0	68	218
1	254	212
2	1772	212
0	8749	212

Stop Event

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

Compiler

Compiled 2 236 to 1 115 computations (50.1% saved)

preprocess102.0ms (0.9%)

Memory: -0.8MiB live, 153.5MiB allocated
Compiler: Compiled 1 162 to 250 computations (78.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze189.0ms (1.6%)

sample1.6s (13.3%)

explain172.0ms (1.5%)

preprocess127.0ms (1.1%)

eval0.0ms (0%)

prune14.0ms (0.1%)

simplify75.0ms (0.6%)

localize53.0ms (0.5%)

series23.0ms (0.2%)

simplify342.0ms (2.9%)

rewrite230.0ms (2%)

eval107.0ms (0.9%)

prune115.0ms (1%)

simplify248.0ms (2.1%)

localize248.0ms (2.1%)

series62.0ms (0.5%)

simplify379.0ms (3.2%)

rewrite310.0ms (2.7%)

eval218.0ms (1.9%)

prune649.0ms (5.6%)

simplify163.0ms (1.4%)

localize308.0ms (2.6%)

series76.0ms (0.6%)

simplify874.0ms (7.5%)

rewrite423.0ms (3.6%)

eval335.0ms (2.9%)

prune216.0ms (1.9%)

simplify277.0ms (2.4%)

localize238.0ms (2%)

series38.0ms (0.3%)

simplify415.0ms (3.6%)

rewrite478.0ms (4.1%)

eval174.0ms (1.5%)

prune211.0ms (1.8%)

regimes129.0ms (1.1%)

regimes21.0ms (0.2%)

regimes21.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes18.0ms (0.1%)

regimes21.0ms (0.2%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes19.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch47.0ms (0.4%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch44.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.2%)

soundness1.6s (13.8%)

preprocess102.0ms (0.9%)

end0.0ms (0%)

Profiling