Metrics for Cubic critical

analyze169.0ms (1.5%)

Memory

-2.3MiB live, 188.9MiB 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)

sample1.5s (13.2%)

Memory

34.0MiB live, 2 280.6MiB allocated

Samples

492.0ms	5 539×	0	valid
239.0ms	1 140×	2	valid
200.0ms	1 330×	1	valid
85.0ms	968×	0	invalid
62.0ms	212×	3	valid
11.0ms	35×	4	valid
1.0ms	4×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 801.0ms

ival-mult: 247.0ms (30.8% of total)

ival-sqrt: 134.0ms (16.7% of total)

ival-div: 96.0ms (12% of total)

ival-neg: 93.0ms (11.6% of total)

ival-add: 74.0ms (9.2% of total)

adjust: 73.0ms (9.1% of total)

ival-sub: 67.0ms (8.4% of total)

ival-true: 8.0ms (1% of total)

exact: 6.0ms (0.7% of total)

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

Bogosity

preprocess163.0ms (1.4%)

Memory

16.8MiB live, 175.9MiB 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))

explain198.0ms (1.8%)

Memory

-47.2MiB live, 351.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	2	(5.291086089376349e-243 9.842094614854887e-161 3.7638274235864774e-210)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
75	-	1	(-3.043800655897189e-14 5.098544717879226e-131 1.4567785461399231e-249)	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
9	-	1	(1.1980836825606171e-119 1.0037186258941106e+279 1.1832913518224471e+82)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
2	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
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	97	0
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	30
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	97
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	74	1
`/.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	8	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	29
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	6
↳	`(*.f64 b b)`	underflow	42
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	17
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	6	0
↳	`(*.f64 b b)`	underflow	42
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	29
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	30

Confusion

	Predicted +	Predicted -
+	132	1
-	16	107

Precision

0.8918918918918919

Recall

0.9924812030075187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	1
-	16	1	106

Precision?

0.8859060402684564

Recall?

0.9924812030075187

Freqs

test

number	freq
0	108
1	111
2	35
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	332×	0	valid
31.0ms	70×	2	valid
17.0ms	104×	1	valid
1.0ms	4×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 16.0ms (33.8% of total)

ival-sqrt: 8.0ms (16.9% of total)

ival-div: 7.0ms (14.8% of total)

ival-sub: 4.0ms (8.4% of total)

adjust: 4.0ms (8.4% of total)

ival-neg: 4.0ms (8.4% of total)

ival-add: 4.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify88.0ms (0.8%)

Memory

7.6MiB live, 84.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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

localize95.0ms (0.8%)

Memory

7.8MiB live, 85.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
✓	accuracy	96.5%	(/.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))
✓	accuracy	73.0%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	62.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

41.0ms	166×	0	valid
9.0ms	52×	1	valid
8.0ms	35×	2	valid
1.0ms	2×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 27.0ms (60.8% of total)

ival-mult: 6.0ms (13.5% of total)

ival-div: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.5% of total)

adjust: 2.0ms (4.5% of total)

ival-neg: 2.0ms (4.5% of total)

ival-add: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory

-7.5MiB live, 30.5MiB 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
14.0ms	a	@	inf	(- (* b b) (* (* 3 a) c))
2.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms	a	@	-inf	(sqrt (- (* b b) (* (* 3 a) c)))
1.0ms	c	@	0	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify645.0ms (5.7%)

Memory

-4.9MiB live, 583.9MiB 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 (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 (.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 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b 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 #s(literal -27/16 binary64) (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.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 #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 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b 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 a (.f64 (/.f64 c (.f64 b b)) #s(literal -3/2 binary64)) (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -27/16 binary64)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) 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))))))))
(.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 #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))
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 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 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)))))))
(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 #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))))))))
(* -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))))))))))))

rewrite435.0ms (3.9%)

Memory

38.7MiB live, 386.4MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))))

eval141.0ms (1.3%)

Memory: 1.0MiB live, 160.8MiB allocated
Compiler: Compiled 22 517 to 2 107 computations (90.6% saved)

prune154.0ms (1.4%)

Memory

-0.7MiB live, 235.1MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

91.7%

Counts

594 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	31.9%	(/.f64 (/.f64 #s(literal 1 binary64) 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)))
	30.4%	(/.f64 (-.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 #s(literal 3 binary64) a))
▶	50.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	25.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
	31.8%	(/.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))
	9.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b))) (.f64 #s(literal 3 binary64) a))
▶	29.8%	(/.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))
	31.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
▶	50.2%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	32.0%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	31.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
▶	50.3%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	23.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a (.f64 a (.f64 c (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b))
	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
▶	31.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	30.5%	#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)))

Compiler

Compiled 642 to 396 computations (38.3% saved)

simplify221.0ms (2%)

Memory

17.0MiB live, 132.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
✓	cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	2880	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	384	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	cost-diff	1472	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(.f64 (.f64 a c) #s(literal -3/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
✓	cost-diff	1344	(/.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))
✓	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	(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	512	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
✓	cost-diff	1344	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))

Rules

1 776×	`lower-fma.f32`
1 774×	`lower-fma.f64`
1 400×	`lower-*.f32`
1 386×	`lower-*.f64`
790×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	263
0	58	253
1	101	253
2	192	253
3	346	253
4	570	253
5	932	253
6	1482	253
7	2667	253
8	3720	253
9	4438	253
10	4487	253
11	4493	253
12	4496	253
13	4540	253
14	4752	253
15	4824	253
16	4824	253
17	4824	253
18	4968	253
19	5504	253
20	5504	253
21	5504	253
0	5504	253

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize184.0ms (1.6%)

Memory

-31.6MiB live, 324.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 b (*.f64 #s(literal 3 binary64) a))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	74.8%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
✓	accuracy	65.0%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/3 binary64) a)
✓	accuracy	96.9%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
✓	accuracy	76.2%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	65.0%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) a)
✓	accuracy	99.7%	(.f64 (.f64 a c) #s(literal -3/2 binary64))
✓	accuracy	96.9%	(/.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))
✓	accuracy	91.2%	(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
✓	accuracy	99.7%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	accuracy	99.5%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	99.8%	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
✓	accuracy	96.9%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	76.2%	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
✓	accuracy	65.0%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

44.0ms	166×	0	valid
32.0ms	45×	1	valid
22.0ms	32×	2	valid
12.0ms	10×	5	exit
3.0ms	2×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 277 to 35 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 19.0ms (23% of total)

adjust: 18.0ms (21.8% of total)

ival-div: 16.0ms (19.4% of total)

ival-sub: 8.0ms (9.7% of total)

const: 8.0ms (9.7% of total)

ival-sqrt: 7.0ms (8.5% of total)

ival-add: 4.0ms (4.9% of total)

ival-neg: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory

10.6MiB live, 88.7MiB allocated

Counts

17 → 492

Calls

Call 1

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

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 (* -1/2 (/ 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 (* 1/3 (* (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 (* -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))>
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#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
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#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
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#<alt (* -2 b)>
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#<alt b>
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#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
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#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>
#<alt (* 1/3 (/ b a))>

Calls

123 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/ b (* 3 a))
4.0ms	c	@	inf	(* (/ -1/3 a) (- b (sqrt (+ (* a (* -3 c)) (* b b)))))
2.0ms	a	@	inf	(/ (* b -2/3) a)
1.0ms	a	@	-inf	(/ (sqrt (+ (* a (* -3 c)) (* b b))) (* 3 a))
1.0ms	a	@	0	(/ (* (* a c) -3/2) b)

simplify422.0ms (3.7%)

Memory

15.4MiB live, 859.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 912×	`lower-fma.f64`
10 912×	`lower-fma.f32`
8 380×	`lower-*.f64`
8 380×	`lower-*.f32`
4 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	9446
1	2551	9327
0	8259	8960

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 489

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)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -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)
(* 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)))))
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(+ (* 1/3 (/ 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 (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* 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))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* 1/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a))))))
(* -1/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a)))))))
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))

Outputs
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a))) (.f64 b (*.f64 b b))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(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 c (.f64 c (.f64 c a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) c) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (.f64 a (fma.f64 a (fma.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) b) (/.f64 (.f64 (.f64 #s(literal -9/16 binary64) 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))))))
(* 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))))
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b (neg.f64 a))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b (neg.f64 a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 #s(literal -1/24 binary64) (.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))))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b (neg.f64 a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 b #s(literal 1/3 binary64))) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 c a))))) (.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/24 binary64)))) a)) a))
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 b a)))) (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(.f64 c (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 c (fma.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 b (.f64 c a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 c (.f64 a (.f64 a a)))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 c (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 b (.f64 c a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 c (.f64 a (.f64 a a)))))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 (.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (*.f64 c a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 b #s(literal -1/3 binary64)) a)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (/.f64 (.f64 b #s(literal -1/3 binary64)) a) (/.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) c)) c)) (neg.f64 c))
(* 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))))
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 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 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.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 #s(literal -1/2 binary64) c) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a))) (.f64 b b))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 c (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) c (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a))) (.f64 b b)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 c (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) c (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a))) (*.f64 b b))))) b)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(neg.f64 (.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 c (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))))))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (fma.f64 (/.f64 c b) #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c (.f64 c a))) (.f64 b (.f64 b b)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
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(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* -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)))))))
(fma.f64 (.f64 b b) (fma.f64 #s(literal -1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 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 (.f64 b b) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 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 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))
(.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a)))))
(.f64 b (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) 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))) (* 1/3 (/ 1 a))))))
(.f64 b (fma.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)))))
(* -1/3 (/ b a))
(/.f64 (*.f64 b #s(literal -1/3 binary64)) a)
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))))
(neg.f64 (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))))
(.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))) (neg.f64 b))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a)))))))
(.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)))) (neg.f64 b))
(* 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))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))

rewrite531.0ms (4.7%)

Memory

8.8MiB live, 1 046.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 946×	`lower-fma.f32`
6 944×	`lower-fma.f64`
5 492×	`lower-/.f32`
5 480×	`lower-/.f64`
4 176×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
0	56	146
1	213	146
2	1897	146
0	8673	146

Stop Event

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

Counts

17 → 1 914

Calls

Call 1

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

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

eval333.0ms (3%)

Memory: 43.7MiB live, 883.4MiB allocated
Compiler: Compiled 89 586 to 3 461 computations (96.1% saved)

prune239.0ms (2.1%)

Memory

-27.4MiB live, 639.4MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	2 588	20	2 608
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	2 598	27	2 625

Accuracy

91.7%

Counts

2 625 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.4%	(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (*.f64 a #s(literal 3 binary64))))
	47.5%	(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (*.f64 a #s(literal 3 binary64))))
▶	50.4%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	32.0%	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 a #s(literal 3 binary64))) (.f64 a b)) (.f64 a (.f64 a #s(literal 3 binary64))))
✓	50.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	31.8%	(/.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))
	25.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
	9.6%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (.f64 #s(literal -3/2 binary64) a) b)) b) (.f64 #s(literal 3 binary64) a))
	31.8%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
	31.8%	(/.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))
	29.6%	(/.f64 (.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)) #s(literal 1/3 binary64)) a)
	31.7%	(-.f64 #s(approx (/ (sqrt (+ (* a (* -3 c)) (* b b))) (* 3 a)) (/.f64 (.f64 b #s(literal -1/3 binary64)) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	6.5%	(-.f64 #s(approx (/ (sqrt (+ (* a (* -3 c)) (* b b))) (* 3 a)) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)))) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
	50.3%	(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))) a) #s(literal -1/3 binary64))
	32.0%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	29.7%	(.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)) a) #s(literal 1/3 binary64))
▶	50.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
	31.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
▶	29.7%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)))
	31.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))))
▶	9.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b))))
	31.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b))))
	29.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) #s(approx (- b (sqrt (+ ( a (* -3 c)) (* b b)))) (/.f64 (.f64 (.f64 c a) #s(literal 3/2 binary64)) b)))
▶	37.2%	#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
	30.5%	#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	23.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a (.f64 a (.f64 c (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b))
✓	31.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))

Compiler

Compiled 890 to 594 computations (33.3% saved)

simplify236.0ms (2.1%)

Memory

-16.1MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	cost-diff	256	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
✓	cost-diff	1472	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
✓	cost-diff	0	(fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b)
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	128	(-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b)))
✓	cost-diff	1472	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b))))
✓	cost-diff	0	(.f64 (.f64 #s(literal -3/2 binary64) a) c)
✓	cost-diff	0	(/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) a)
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) c)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
✓	cost-diff	0	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	cost-diff	128	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	cost-diff	256	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	1856	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))

Rules

1 936×	`lower-fma.f32`
1 932×	`lower-fma.f64`
1 416×	`lower-*.f32`
1 400×	`lower-*.f64`
644×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	266
0	75	260
1	136	258
2	291	258
3	567	258
4	1346	258
5	2268	258
6	2708	258
7	3348	258
8	3763	258
9	3861	258
10	3889	258
11	3899	258
12	3951	258
13	3967	258
14	4007	258
15	4023	258
16	4167	258
17	4639	258
18	4639	258
19	4639	258
20	4639	258
0	4639	258

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize187.0ms (1.7%)

Memory

-11.2MiB live, 390.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
✓	accuracy	96.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
✓	accuracy	74.1%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/3 binary64) a)
✓	accuracy	97.3%	(fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b)
✓	accuracy	96.5%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b))))
✓	accuracy	74.1%	(-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b)))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal -3/2 binary64) a) c)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) a)
✓	accuracy	96.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)))
✓	accuracy	91.2%	(/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) c)
✓	accuracy	99.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
✓	accuracy	96.7%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	74.1%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

55.0ms	166×	0	valid
44.0ms	52×	1	valid
26.0ms	35×	2	valid
3.0ms	3×	5	exit

Compiler

Compiled 282 to 43 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 30.0ms (33.2% of total)

ival-div: 18.0ms (19.9% of total)

ival-add: 14.0ms (15.5% of total)

adjust: 7.0ms (7.8% of total)

const: 7.0ms (7.8% of total)

ival-sqrt: 6.0ms (6.6% of total)

ival-sub: 5.0ms (5.5% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series23.0ms (0.2%)

Memory

-1.9MiB live, 75.6MiB allocated

Counts

16 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/ (* -1/2 c) b)
0.0ms	c	@	inf	(/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a)
0.0ms	c	@	inf	(/ (* -1/2 c) b)
0.0ms	c	@	-inf	(/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a)
0.0ms	c	@	-inf	(/ (* -1/2 c) b)

simplify431.0ms (3.8%)

Memory

28.3MiB live, 617.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 214×	`lower-fma.f64`
14 214×	`lower-fma.f32`
9 420×	`lower-*.f64`
9 420×	`lower-*.f32`
3 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	9052
1	2295	8984
2	7813	8894
0	8937	8519

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 449

Calls

Call 1

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

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

rewrite479.0ms (4.2%)

Memory

8.3MiB live, 716.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 538×	`lower-fma.f32`
5 534×	`lower-fma.f64`
4 700×	`lower-/.f32`
4 684×	`lower-/.f64`
4 400×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	147
0	72	141
1	233	141
2	1740	141
0	8308	141

Stop Event

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

Counts

16 → 2 398

Calls

Call 1

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

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

eval459.0ms (4.1%)

Memory: 15.2MiB live, 484.2MiB allocated
Compiler: Compiled 85 113 to 2 892 computations (96.6% saved)

prune545.0ms (4.8%)

Memory

-142.4MiB live, 266.1MiB allocated

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	2 697	10	2 707
Fresh	2	18	20
Picked	0	5	5
Done	0	2	2
Total	2 699	35	2 734

Accuracy

91.7%

Counts

2 734 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.4%	(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (*.f64 a #s(literal 3 binary64))))
	47.5%	(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (*.f64 a #s(literal 3 binary64))))
	7.2%	(/.f64 (/.f64 (-.f64 (.f64 b (/.f64 a #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (.f64 #s(literal -3/2 binary64) (/.f64 c b)) b)))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 a #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) b))))) #s(literal -3 binary64))
	5.1%	(/.f64 (/.f64 (-.f64 b (.f64 (sqrt.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (.f64 #s(literal -3/2 binary64) (/.f64 c b)) b))) (sqrt.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) b))))) a) #s(literal -3 binary64))
✓	50.4%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	32.0%	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 a #s(literal 3 binary64))) (.f64 a b)) (.f64 a (.f64 a #s(literal 3 binary64))))
✓	50.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
▶	31.8%	(/.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))
	25.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a))
	9.6%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (.f64 #s(literal -3/2 binary64) a) b)) b) (.f64 #s(literal 3 binary64) a))
	31.8%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
	31.8%	(/.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))
	9.6%	(/.f64 (.f64 (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) b))) #s(literal -1/3 binary64)) a)
▶	37.1%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b))) #s(literal -3 binary64))
	31.7%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 b (/.f64 #s(literal 2 binary64) a))) #s(literal -3 binary64))
	31.7%	(-.f64 #s(approx (/ (sqrt (+ (* a (* -3 c)) (* b b))) (* 3 a)) (/.f64 (.f64 b #s(literal -1/3 binary64)) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	6.5%	(-.f64 #s(approx (/ (sqrt (+ (* a (* -3 c)) (* b b))) (* 3 a)) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)))) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
▶	50.3%	(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))) a) #s(literal -1/3 binary64))
	32.0%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	29.7%	(.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)) a) #s(literal 1/3 binary64))
✓	50.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
	31.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))))
▶	31.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
✓	29.7%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)))
	31.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))))
✓	9.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b))))
	31.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b))))
	29.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) #s(approx (- b (sqrt (+ ( a (* -3 c)) (* b b)))) (/.f64 (.f64 (.f64 c a) #s(literal 3/2 binary64)) b)))
	4.9%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 a #s(literal -3 binary64))) #s(literal -1 binary64))) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b))))
	30.5%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	31.7%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
▶	37.1%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
✓	37.2%	#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
	23.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a (.f64 a (.f64 c (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b))
✓	31.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))

Compiler

Compiled 1 083 to 709 computations (34.5% saved)

simplify230.0ms (2%)

Memory

19.2MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
✓	cost-diff	384	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
✓	cost-diff	0	(.f64 c (.f64 a #s(literal -3 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))
✓	cost-diff	0	(-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b)
✓	cost-diff	1472	(/.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))
✓	cost-diff	0	(/.f64 #s(literal 3/2 binary64) b)
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal 3/2 binary64) b))
✓	cost-diff	704	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b))) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b)
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))
✓	cost-diff	320	(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))) a) #s(literal -1/3 binary64))
✓	cost-diff	384	(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
✓	cost-diff	1152	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))) a)

Rules

1 824×	`lower-fma.f32`
1 820×	`lower-fma.f64`
1 160×	`lower-*.f32`
1 138×	`lower-*.f64`
724×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	265
0	74	265
1	126	263
2	193	263
3	357	263
4	592	263
5	1149	263
6	2371	263
7	3097	263
8	3723	263
9	3916	263
10	3967	263
11	3985	263
12	3985	263
13	4081	263
14	4328	263
15	4358	263
16	4360	263
17	4362	263
18	4366	263
19	4366	263
20	4486	263
21	5074	263
0	5074	263

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize199.0ms (1.8%)

Memory

6.9MiB live, 164.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
✓	accuracy	95.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
✓	accuracy	81.5%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	62.4%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.7%	(.f64 c (.f64 a #s(literal -3 binary64)))
✓	accuracy	96.5%	(/.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))
✓	accuracy	73.0%	(-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b)
✓	accuracy	62.4%	(sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 3/2 binary64) b)
✓	accuracy	99.7%	(*.f64 c (/.f64 #s(literal 3/2 binary64) b))
✓	accuracy	99.6%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b))) #s(literal -3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b)
✓	accuracy	99.7%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
✓	accuracy	99.2%	(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
✓	accuracy	96.7%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))) a)
✓	accuracy	73.0%	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))
✓	accuracy	62.4%	(sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))

Samples

55.0ms	88×	1	valid
44.0ms	67×	2	valid
31.0ms	92×	0	valid
12.0ms	3×	4	valid
3.0ms	3×	5	exit
2.0ms	3×	3	valid

Compiler

Compiled 284 to 40 computations (85.9% saved)

Precisions

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

ival-div: 32.0ms (32.3% of total)

ival-mult: 27.0ms (27.3% of total)

adjust: 10.0ms (10.1% of total)

ival-sqrt: 8.0ms (8.1% of total)

ival-sub: 7.0ms (7.1% of total)

const: 7.0ms (7.1% of total)

ival-add: 7.0ms (7.1% of total)

exact: 1.0ms (1% of total)

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

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

series59.0ms (0.5%)

Memory

-1.6MiB live, 36.4MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

153 calls:

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

simplify554.0ms (4.9%)

Memory

13.8MiB live, 567.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 372×	`lower-fma.f64`
11 372×	`lower-fma.f32`
8 136×	`lower-*.f64`
8 136×	`lower-*.f32`
6 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1027	13285
1	3410	13178
0	8969	12574

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 603

Calls

Call 1

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

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

rewrite378.0ms (3.4%)

Memory

-9.1MiB live, 622.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 004×	`lower-/.f32`
4 992×	`lower-/.f64`
4 590×	`lower-*.f32`
4 568×	`lower-*.f64`
2 924×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	188
0	73	188
1	236	186
2	1159	186
0	8547	186

Stop Event

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

Counts

20 → 1 602

Calls

Call 1

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

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

eval240.0ms (2.1%)

Memory: 56.5MiB live, 465.3MiB allocated
Compiler: Compiled 64 825 to 4 575 computations (92.9% saved)

prune259.0ms (2.3%)

Memory

-35.2MiB live, 572.6MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	2 004	12	2 016
Fresh	8	15	23
Picked	3	2	5
Done	2	5	7
Total	2 017	34	2 051

Accuracy

91.7%

Counts

2 051 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.4%	(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (*.f64 a #s(literal 3 binary64))))
	47.5%	(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (*.f64 a #s(literal 3 binary64))))
	5.1%	(/.f64 (/.f64 (-.f64 b (.f64 (sqrt.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (.f64 #s(literal -3/2 binary64) (/.f64 c b)) b))) (sqrt.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) b))))) a) #s(literal -3 binary64))
✓	50.4%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	32.0%	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 a #s(literal 3 binary64))) (.f64 a b)) (.f64 a (.f64 a #s(literal 3 binary64))))
✓	50.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
✓	31.8%	(/.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))
	31.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	9.6%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (.f64 #s(literal -3/2 binary64) a) b)) b) (.f64 #s(literal 3 binary64) a))
	31.8%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)) b) (*.f64 #s(literal 3 binary64) a))
	31.7%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 b (/.f64 #s(literal 2 binary64) a))) #s(literal -3 binary64))
	31.7%	(-.f64 #s(approx (/ (sqrt (+ (* a (* -3 c)) (* b b))) (* 3 a)) (/.f64 (.f64 b #s(literal -1/3 binary64)) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
✓	50.3%	(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))) a) #s(literal -1/3 binary64))
	31.7%	(.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) a) #s(literal -1/3 binary64))
	31.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))))
	26.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)))
	9.3%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx ( (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b)))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx ( (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
	31.7%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b))
✓	29.7%	(.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)))
	31.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b))))
	29.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) #s(approx (- b (sqrt (+ ( a (* -3 c)) (* b b)))) (/.f64 (.f64 (.f64 c a) #s(literal 3/2 binary64)) b)))
	31.7%	(.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
	19.6%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 c (*.f64 b #s(literal 2/3 binary64)))))) #s(literal -1 binary64))) #s(literal -1/3 binary64))
	4.9%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 a #s(literal -3 binary64))) #s(literal -1 binary64))) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a) b))))
	37.1%	(.f64 #s(approx (/ (- b (sqrt (+ ( -3 (* a c)) (* b b)))) a) (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) #s(literal -1/3 binary64))
	30.5%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	31.7%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
✓	37.2%	#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
	23.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a (.f64 a (.f64 c (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b))
✓	31.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	2.7%	#s(approx (* (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
	9.4%	#s(approx (* (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
	2.2%	#s(approx (* (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))

Compiler

Compiled 1 341 to 575 computations (57.1% saved)

regimes96.0ms (0.9%)

Memory

20.0MiB live, 149.3MiB allocated

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

22.0ms	c
20.0ms	b
17.0ms	(*.f64 #s(literal 3 binary64) a)
17.0ms	a
17.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
50.4%	1	`a`
86.6%	3	`b`
50.4%	1	`c`
75.3%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
50.4%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes16.0ms (0.1%)

Memory

-19.5MiB live, 20.0MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (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))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
80.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-24.6MiB live, 14.9MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
80.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

9.0ms

Results

Accuracy	Segments	Branch
80.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-30.1MiB live, 14.2MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

8.0ms

Results

Accuracy	Segments	Branch
80.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

13.3MiB live, 50.8MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(/.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))
8.0ms	b

Results

Accuracy	Segments	Branch
49.1%	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))`
66.4%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

-16.8MiB live, 19.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.7%	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))`
31.7%	1	`a`
31.7%	1	`c`
31.7%	1	`(*.f64 #s(literal 3 binary64) a)`
38.0%	2	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -4.9b remaining (-8.4%)

Threshold costs -4.9b (-8.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
9.4%	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))`
9.4%	1	`c`
9.4%	1	`a`
9.4%	1	`(*.f64 #s(literal 3 binary64) a)`
9.4%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9276302934132315e-85	2.4790428576271053e-70
0.0ms	-2.6870788993354257e+94	-2.4635371259182725e+91

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9276302934132315e-85	2.4790428576271053e-70
0.0ms	-1.5460492114338772e+51	-7.558139185019699e+40

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch3.0ms (0%)

Memory

-37.7MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0298521460562967e-136	6.727460963928855e-134
0.0ms	-7.588198409192255e-18	-3.9247142470234375e-18

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0298521460562967e-136	6.727460963928855e-134
0.0ms	-7.588198409192255e-18	-3.9247142470234375e-18

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0298521460562967e-136	6.727460963928855e-134
0.0ms	-7.588198409192255e-18	-3.9247142470234375e-18

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0298521460562967e-136	6.727460963928855e-134
0.0ms	-7.588198409192255e-18	-3.9247142470234375e-18

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0298521460562967e-136	6.727460963928855e-134
0.0ms	-7.588198409192255e-18	-3.9247142470234375e-18

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8957166652936242e-300	2.1044478004937477e-296

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8957166652936242e-300	2.1044478004937477e-296

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8957166652936242e-300	2.1044478004937477e-296

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4472712308198307e+46	8.534546500354333e+46

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify16.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
36×	`+-commutative_binary64`
34×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	725
1	152	724
2	185	724
3	204	724
4	216	724
5	219	724

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -999999999999999993220948674361627976461708441944064 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 19999999999999999862796380718940425895318388736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx ( (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (* (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))

Outputs
(if (<=.f64 b #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal 3 binary64) a)))) 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 -999999999999999993220948674361627976461708441944064 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -999999999999999993220948674361627976461708441944064 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) 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 -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -3 c)) (* b b)) (.f64 c (.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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 19999999999999999862796380718940425895318388736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx ( (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 19999999999999999862796380718940425895318388736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) #s(approx ( (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
#s(approx (* (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ 1 a) (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))

soundness1.1s (9.7%)

Memory

3.0MiB live, 749.7MiB allocated

Rules

11 372×	`lower-fma.f64`
11 372×	`lower-fma.f32`
10 912×	`lower-fma.f64`
10 912×	`lower-fma.f32`
10 788×	`lower-fma.f64`

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
0	35	152
0	56	146
1	213	146
2	1897	146
0	8673	146
0	787	9446
1	2551	9327
0	8259	8960
0	44	188
0	73	188
1	236	186
2	1159	186
0	8547	186
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	1027	13285
1	3410	13178
0	8969	12574

Stop Event

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

Compiler

Compiled 624 to 316 computations (49.4% saved)

preprocess84.0ms (0.7%)

Memory: 25.7MiB live, 105.7MiB allocated
Compiler: Compiled 640 to 190 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze169.0ms (1.5%)

sample1.5s (13.2%)

preprocess163.0ms (1.4%)

explain198.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify88.0ms (0.8%)

localize95.0ms (0.8%)

series35.0ms (0.3%)

simplify645.0ms (5.7%)

rewrite435.0ms (3.9%)

eval141.0ms (1.3%)

prune154.0ms (1.4%)

simplify221.0ms (2%)

localize184.0ms (1.6%)

series48.0ms (0.4%)

simplify422.0ms (3.7%)

rewrite531.0ms (4.7%)

eval333.0ms (3%)

prune239.0ms (2.1%)

simplify236.0ms (2.1%)

localize187.0ms (1.7%)

series23.0ms (0.2%)

simplify431.0ms (3.8%)

rewrite479.0ms (4.2%)

eval459.0ms (4.1%)

prune545.0ms (4.8%)

simplify230.0ms (2%)

localize199.0ms (1.8%)

series59.0ms (0.5%)

simplify554.0ms (4.9%)

rewrite378.0ms (3.4%)

eval240.0ms (2.1%)

prune259.0ms (2.3%)

regimes96.0ms (0.9%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.1s (9.7%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling