Metrics for Cubic critical

analyze163.0ms (1.5%)

Memory

-32.7MiB live, 215.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.7s (15.1%)

Memory

59.3MiB live, 2 655.8MiB allocated

Samples

466.0ms	5 532×	0	valid
305.0ms	1 146×	2	valid
230.0ms	1 318×	1	valid
74.0ms	967×	0	invalid
62.0ms	228×	3	valid
34.0ms	32×	4	valid
2.0ms	5×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 877.0ms

ival-mult: 242.0ms (27.6% of total)

ival-sqrt: 213.0ms (24.3% of total)

ival-div: 102.0ms (11.6% of total)

ival-neg: 87.0ms (9.9% of total)

ival-sub: 74.0ms (8.4% of total)

ival-add: 74.0ms (8.4% of total)

adjust: 70.0ms (8% of total)

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

exact: 5.0ms (0.6% of total)

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

Bogosity

preprocess137.0ms (1.2%)

Memory

28.5MiB live, 143.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 562×	`div-sub`
1 088×	`accelerator-lowering-fma.f32`
1 088×	`accelerator-lowering-fma.f64`
996×	`sub-neg`
712×	`-lowering-.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
1	28	16
2	65	16
3	148	16
4	227	16
5	365	16
6	643	16
7	1095	16
8	2244	16
9	2500	16
10	2610	16
11	2665	16
12	2666	16
13	2666	16
0	2666	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

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

explain216.0ms (1.9%)

Memory

-20.5MiB live, 473.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
118	0	-	2	(-5.649812473074726e-252 -2.9550484634255324e-161 -2.3379886743401564e-260)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
63	1	(7.666712731118717e-205 7.081025519054437e+142 -1.9947475610636494e+23)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
13	1	(-9.034841693406342e-129 4.124098607971856e+102 -1.3125917962616834e-220)	2	(7.666712731118717e-205 7.081025519054437e+142 -1.9947475610636494e+23)	`(/.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))`
3	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`c`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	112	0
↳	`(*.f64 b b)`	overflow	100
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	19
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	112
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	64	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`	u/n	12	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	33
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
↳	`(*.f64 b b)`	underflow	30
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	26
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	30
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	33
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	100
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	19

Confusion

	Predicted +	Predicted -
+	132	2
-	26	96

Precision

0.8354430379746836

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	2
-	26	0	96

Precision?

0.8354430379746836

Recall?

0.9850746268656716

Freqs

test

number	freq
0	98
1	122
2	35
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	86×	2	valid
30.0ms	334×	0	valid
12.0ms	74×	1	valid
6.0ms	18×	3	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 27.0ms (41.9% of total)

ival-mult: 14.0ms (21.7% of total)

ival-sqrt: 7.0ms (10.9% of total)

ival-sub: 4.0ms (6.2% of total)

adjust: 4.0ms (6.2% of total)

ival-neg: 4.0ms (6.2% of total)

ival-add: 4.0ms (6.2% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.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))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify90.0ms (0.8%)

Memory

-1.8MiB live, 115.9MiB 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×	`accelerator-lowering-fma.f32`
1 088×	`accelerator-lowering-fma.f64`
712×	`-lowering-.f32`
712×	`-lowering-.f64`
434×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	28	64
2	65	64
3	148	64
4	227	64
5	365	64
6	643	64
7	1095	64
8	2244	64
9	2500	64
10	2610	64
11	2665	64
12	2666	64
13	2666	64
0	2666	60

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(neg b)
b
(sqrt (- (* b b) (* (* 3 a) c)))
(- (* b b) (* (* 3 a) c))
(* b b)
(* (* 3 a) c)
(* 3 a)
3
a
c

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

localize54.0ms (0.5%)

Memory

-8.8MiB live, 146.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
✓	accuracy	95.4%	(/.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))
✓	accuracy	77.2%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	57.2%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

19.0ms	167×	0	valid
11.0ms	43×	2	valid
6.0ms	37×	1	valid
3.0ms	9×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (28.4% of total)

ival-div: 3.0ms (14.2% of total)

ival-sqrt: 3.0ms (14.2% of total)

ival-sub: 2.0ms (9.5% of total)

adjust: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

23.4MiB live, 61.2MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))>
#<alt (- (* b b) (* (* 3 a) c))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))>
#<alt (neg b)>
#<alt (sqrt (- (* b b) (* (* 3 a) c)))>

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

Calls

39 calls:

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

rewrite346.0ms (3.1%)

Memory

26.5MiB live, 638.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 876×	`accelerator-lowering-fma.f32`
4 876×	`accelerator-lowering-fma.f64`
3 870×	`-lowering-.f32`
3 870×	`-lowering-.f64`
2 328×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	63	49
2	517	48
3	6808	48
0	8097	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 440

Calls

Call 1

Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(- (* b b) (* (* 3 a) c))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(neg b)
(sqrt (- (* b b) (* (* 3 a) c)))

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

simplify422.0ms (3.8%)

Memory

-25.6MiB live, 702.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 788×	`accelerator-lowering-fma.f32`
10 788×	`accelerator-lowering-fma.f64`
7 910×	`-lowering-.f32`
7 910×	`-lowering-.f64`
2 502×	`+-lowering-+.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 → 156

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

eval86.0ms (0.8%)

Memory: 21.3MiB live, 179.8MiB allocated
Compiler: Compiled 22 541 to 2 109 computations (90.6% saved)

prune103.0ms (0.9%)

Memory

-17.5MiB live, 259.0MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	571	25	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	572	25	597

Accuracy

94.2%

Counts

597 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.5%	(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) a) (/.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 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
	21.4%	(/.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
▶	18.4%	(/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 a (.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))))
	50.5%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	31.3%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	50.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	50.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	50.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) a))
▶	30.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	44.8%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	14.8%	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 3 binary64) a))
	22.8%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.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 3 binary64)))
	50.5%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	36.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
▶	38.9%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	38.9%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	31.1%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
	49.9%	(-.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)))
	38.3%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
	31.1%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	31.0%	(.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)))
	50.5%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	18.5%	(.f64 (+.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)))) (.f64 a (.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
	35.7%	(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))

Compiler

Compiled 1 034 to 636 computations (38.5% saved)

simplify294.0ms (2.7%)

Memory

24.1MiB live, 336.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))
✓	cost-diff	0	(/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 a (.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))))
✓	cost-diff	192	(fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) a))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 a c)))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 a c)))))
✓	cost-diff	0	(sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64)))))
✓	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	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))

Rules

4 056×	`accelerator-lowering-fma.f32`
4 056×	`accelerator-lowering-fma.f64`
2 492×	`-lowering-.f32`
2 492×	`-lowering-.f64`
1 648×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	318
1	82	312
2	158	308
3	327	308
4	577	308
5	1041	308
6	1936	308
7	3427	308
8	4729	308
9	5657	308
10	6386	308
11	6603	308
12	6605	308
13	7542	308
14	7786	308
15	7966	308
0	8032	291

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (* 3 a))
(+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))
(neg b)
b
(sqrt (+ (* (* a -3) c) (* b b)))
(+ (* (* a -3) c) (* b b))
(* a -3)
a
-3
c
(* b b)
(* 3 a)
3
(/ (* b -2/3) a)
(* b -2/3)
b
-2/3
a
(/ (+ (neg b) (sqrt (* a (* c -3)))) (* 3 a))
(+ (neg b) (sqrt (* a (* c -3))))
(neg b)
b
(sqrt (* a (* c -3)))
(* a (* c -3))
a
(* c -3)
c
-3
(* 3 a)
3
(/ (+ (neg b) (sqrt (- (* b b) (* 3 (* a c))))) (* 3 a))
(+ (neg b) (sqrt (- (* b b) (* 3 (* a c)))))
(neg b)
b
(sqrt (- (* b b) (* 3 (* a c))))
(- (* b b) (* 3 (* a c)))
(* b b)
(* 3 (* a c))
3
(* a c)
a
c
(* 3 a)
(/ (+ (* b b) (+ (* 3 (* a c)) (* b b))) (* a (* 3 (- b (sqrt (+ (* a (* -3 c)) (* b b)))))))
(+ (* b b) (+ (* 3 (* a c)) (* b b)))
b
(+ (* 3 (* a c)) (* b b))
3
(* a c)
a
c
(* b b)
(* a (* 3 (- b (sqrt (+ (* a (* -3 c)) (* b b))))))
(* 3 (- b (sqrt (+ (* a (* -3 c)) (* b b)))))
(- b (sqrt (+ (* a (* -3 c)) (* b b))))
(sqrt (+ (* a (* -3 c)) (* b b)))
(+ (* a (* -3 c)) (* b b))
(* -3 c)
-3

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

localize186.0ms (1.7%)

Memory

-55.2MiB live, 388.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))
✓	accuracy	89.4%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	83.9%	(/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 a (.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))))
✓	accuracy	76.1%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 a c))
✓	accuracy	97.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) a))
✓	accuracy	89.4%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 a c)))))
✓	accuracy	76.1%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 a c))))
✓	accuracy	100.0%	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64)))))
✓	accuracy	99.8%	(.f64 a (.f64 c #s(literal -3 binary64)))
✓	accuracy	99.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	88.0%	(sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))
✓	accuracy	99.8%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	accuracy	99.7%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))
✓	accuracy	97.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	89.4%	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))
✓	accuracy	76.1%	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))

Samples

33.0ms	109×	0	valid
28.0ms	94×	0	invalid
20.0ms	18×	3	valid
12.0ms	10×	4	valid
12.0ms	16×	2	valid
4.0ms	7×	1	valid
2.0ms	2×	5	exit

Compiler

Compiled 305 to 40 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 23.0ms (30% of total)

ival-add: 13.0ms (17% of total)

ival-sqrt: 11.0ms (14.4% of total)

ival-div: 11.0ms (14.4% of total)

adjust: 7.0ms (9.1% of total)

const: 6.0ms (7.8% of total)

ival-sub: 3.0ms (3.9% of total)

ival-neg: 2.0ms (2.6% of total)

exact: 0.0ms (0% of total)

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

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

series68.0ms (0.6%)

Memory

5.8MiB live, 124.1MiB allocated

Counts

22 → 684

Calls

Call 1

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

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

Calls

171 calls:

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

rewrite519.0ms (4.7%)

Memory

-2.6MiB live, 911.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 958×	`accelerator-lowering-fma.f32`
7 958×	`accelerator-lowering-fma.f64`
4 670×	`/-lowering-/.f32`
4 670×	`/-lowering-/.f64`
4 148×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	223
1	226	217
2	1835	217
0	8439	192

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 321

Calls

Call 1

Inputs
(+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))
(/ (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (* 3 a))
(neg b)
(sqrt (+ (* (* a -3) c) (* b b)))
(/ (* b -2/3) a)
(* b -2/3)
(+ (neg b) (sqrt (* a (* c -3))))
(/ (+ (neg b) (sqrt (* a (* c -3)))) (* 3 a))
(sqrt (* a (* c -3)))
(+ (neg b) (sqrt (- (* b b) (* 3 (* a c)))))
(- (* b b) (* 3 (* a c)))
(/ (+ (neg b) (sqrt (- (* b b) (* 3 (* a c))))) (* 3 a))
(+ (* b b) (+ (* 3 (* a c)) (* b b)))
(/ (+ (* b b) (+ (* 3 (* a c)) (* b b))) (* a (* 3 (- b (sqrt (+ (* a (* -3 c)) (* b b)))))))
(+ (* 3 (* a c)) (* b b))
(* a c)
(+ (* (* a -3) c) (* b b))
(* a (* c -3))
(sqrt (- (* b b) (* 3 (* a c))))
(* 3 (* a c))
(sqrt (+ (* a (* -3 c)) (* b b)))
(- b (sqrt (+ (* a (* -3 c)) (* b b))))

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

simplify475.0ms (4.3%)

Memory

24.7MiB live, 1 173.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 556×	`accelerator-lowering-fma.f32`
7 556×	`accelerator-lowering-fma.f64`
7 154×	`-lowering-.f32`
7 154×	`-lowering-.f64`
5 514×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1105	13871
1	3605	13521
0	8382	12945

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

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

eval296.0ms (2.7%)

Memory: 30.8MiB live, 678.0MiB allocated
Compiler: Compiled 69 357 to 4 671 computations (93.3% saved)

prune255.0ms (2.3%)

Memory

-14.6MiB live, 461.8MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	2 067	20	2 087
Fresh	15	5	20
Picked	4	1	5
Done	0	0	0
Total	2 086	26	2 112

Accuracy

100.0%

Counts

2 112 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 c)) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	15.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	18.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	25.8%	(/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))))))
	50.5%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))
▶	31.3%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	36.8%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	29.9%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) (*.f64 a #s(literal 3 binary64)))
	30.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
▶	50.5%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	36.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓	38.9%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	38.9%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	2.4%	(/.f64 b (*.f64 a #s(literal 3 binary64)))
	49.9%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
	38.7%	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
	50.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
	30.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) a) #s(literal 1/3 binary64))
	38.8%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
▶	29.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) #s(literal 1/3 binary64)))
	38.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
	30.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b))
▶	38.9%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
▶	29.9%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) #s(literal -3 binary64)))
	35.7%	(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))

Compiler

Compiled 832 to 558 computations (32.9% saved)

simplify165.0ms (1.5%)

Memory

2.6MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 014×	`-lowering-.f32`
3 014×	`-lowering-.f64`
2 896×	`/-lowering-/.f32`
2 896×	`/-lowering-/.f64`
2 132×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	233
1	81	225
2	200	223
3	660	219
4	1631	219
5	3574	219
6	6019	219
0	8180	214

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize155.0ms (1.4%)

Memory

11.1MiB live, 210.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 a c))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) #s(literal -3 binary64)))
✓	accuracy	87.7%	(sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c)))
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 a c))
✓	accuracy	99.7%	(.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) #s(literal 1/3 binary64)))
✓	accuracy	87.7%	(sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) a)
✓	accuracy	99.8%	(.f64 (.f64 a c) #s(literal -3/2 binary64))
✓	accuracy	95.6%	(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
✓	accuracy	90.2%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	accuracy	99.7%	(/.f64 #s(literal -2/3 binary64) a)
✓	accuracy	99.8%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
✓	accuracy	97.1%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	89.0%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	76.1%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

55.0ms	117×	0	valid
28.0ms	94×	0	invalid
13.0ms	21×	2	valid
7.0ms	18×	1	valid
6.0ms	5×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 230 to 36 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 25.0ms (40.6% of total)

ival-div: 12.0ms (19.5% of total)

const: 12.0ms (19.5% of total)

ival-sqrt: 4.0ms (6.5% of total)

ival-sub: 3.0ms (4.9% of total)

adjust: 2.0ms (3.2% of total)

ival-add: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series38.0ms (0.3%)

Memory

14.8MiB live, 86.4MiB allocated

Counts

20 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(* 3 a)
3.0ms	c	@	inf	(/ (/ (* (* a c) -3/2) b) (* 3 a))
1.0ms	c	@	0	(/ (* (* a c) -3/2) b)
1.0ms	b	@	0	(/ (* (* a c) -3/2) b)
1.0ms	c	@	0	(/ (/ (* (* a c) -3/2) b) (* 3 a))

rewrite83.0ms (0.7%)

Memory

-13.0MiB live, 107.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

872×	`-lowering-.f32`
872×	`-lowering-.f64`
762×	`/-lowering-/.f32`
762×	`/-lowering-/.f64`
536×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	162
1	169	159
0	1311	151

Stop Event

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

Counts

20 → 335

Calls

Call 1

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

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

simplify465.0ms (4.2%)

Memory

32.9MiB live, 662.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 988×	`accelerator-lowering-fma.f32`
9 988×	`accelerator-lowering-fma.f64`
8 722×	`-lowering-.f32`
8 722×	`-lowering-.f64`
3 830×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	772	7757
1	2512	7714
0	8309	7444

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

eval131.0ms (1.2%)

Memory: -50.6MiB live, 253.8MiB allocated
Compiler: Compiled 19 659 to 1 917 computations (90.2% saved)

prune109.0ms (1%)

Memory

12.4MiB live, 246.2MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1 083	17	1 100
Fresh	2	18	20
Picked	3	2	5
Done	0	1	1
Total	1 088	38	1 126

Accuracy

100.0%

Counts

1 126 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64))
	18.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 c)) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	15.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	18.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	25.8%	(/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))))))
▶	50.5%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))
▶	36.8%	(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
	38.9%	(/.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal -3 binary64))
▶	31.2%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) b)) a)
	36.8%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	29.9%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) (*.f64 a #s(literal 3 binary64)))
	30.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
	30.0%	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a)
	38.9%	(/.f64 (*.f64 (-.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	36.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓	38.9%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	2.4%	(/.f64 b (*.f64 a #s(literal 3 binary64)))
	38.9%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	49.9%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
	38.7%	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
▶	50.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
	30.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) a) #s(literal 1/3 binary64))
▶	38.8%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	38.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))) b)
	15.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) #s(literal 1/3 binary64)))
	30.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c)) b) #s(literal 1/3 binary64)))
	38.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
	30.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b))
	32.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
✓	38.9%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	29.9%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) #s(literal -3 binary64)))
	30.3%	(.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 a #s(literal 3 binary64)))))
	30.3%	(.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (.f64 b (.f64 a #s(literal 3 binary64)))))
	30.3%	(.f64 (.f64 a c) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 #s(literal 1/3 binary64) a)))
	29.6%	(.f64 a (/.f64 (.f64 c #s(literal -3/2 binary64)) (.f64 b (.f64 a #s(literal 3 binary64)))))
	38.8%	(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) b))
	30.4%	(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 a #s(literal 3 binary64)))))

Compiler

Compiled 1 117 to 772 computations (30.9% saved)

simplify249.0ms (2.2%)

Memory

-0.2MiB live, 331.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a)
✓	cost-diff	0	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
✓	cost-diff	0	(*.f64 c #s(literal -3/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 c #s(literal -3/2 binary64)))
✓	cost-diff	320	(/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) b))
✓	cost-diff	1024	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) b)) a)
✓	cost-diff	0	(*.f64 c #s(literal 3/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
✓	cost-diff	704	(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a)
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))

Rules

6 344×	`-lowering-.f32`
6 344×	`-lowering-.f64`
3 292×	`neg-lowering-neg.f64`
3 292×	`neg-lowering-neg.f32`
2 312×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	210
1	63	204
2	177	204
3	533	204
4	1565	204
5	2316	204
6	3331	204
7	4518	204
0	8434	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize142.0ms (1.3%)

Memory

-7.5MiB live, 254.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))
✓	accuracy	95.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a)
✓	accuracy	77.2%	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
✓	accuracy	57.2%	(sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) b)
✓	accuracy	99.7%	(.f64 a (.f64 c #s(literal -3/2 binary64)))
✓	accuracy	93.2%	(/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) b))
✓	accuracy	86.0%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) b)) a)
✓	accuracy	100.0%	(*.f64 c #s(literal 3/2 binary64))
✓	accuracy	99.8%	(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
✓	accuracy	99.7%	(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.5%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
✓	accuracy	98.8%	(fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))
✓	accuracy	95.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a)
✓	accuracy	77.2%	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
✓	accuracy	57.2%	(sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))

Samples

41.0ms	167×	0	valid
20.0ms	43×	2	valid
18.0ms	37×	1	valid
7.0ms	8×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 206 to 30 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 16.0ms (31.6% of total)

ival-div: 15.0ms (29.6% of total)

const: 8.0ms (15.8% of total)

adjust: 3.0ms (5.9% of total)

ival-sqrt: 3.0ms (5.9% of total)

ival-add: 2.0ms (3.9% of total)

ival-sub: 2.0ms (3.9% of total)

exact: 1.0ms (2% of total)

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

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

series20.0ms (0.2%)

Memory

17.0MiB live, 53.3MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

rewrite360.0ms (3.2%)

Memory

30.9MiB live, 822.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 542×	`-lowering-.f32`
6 542×	`-lowering-.f64`
5 144×	`accelerator-lowering-fma.f32`
5 144×	`accelerator-lowering-fma.f64`
3 770×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	127
1	134	121
2	1009	121
0	8968	115

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 319

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 3 binary64)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a) #s(literal 1/3 binary64)) (neg.f64 (.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(+.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a) #s(literal 1/3 binary64)) (.f64 (/.f64 b (neg.f64 a)) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b (neg.f64 a))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal -1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(-.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a) #s(literal 1/3 binary64)) (.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (.f64 #s(literal -3 binary64) a)))
(-.f64 (/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))) (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(-.f64 (/.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))))) (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a) (*.f64 #s(literal 1/3 binary64) (/.f64 b (neg.f64 a))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (neg.f64 a)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(neg.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal -1/3 binary64)))
(neg.f64 (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))) a) #s(literal 1/3 binary64)))
(neg.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))) a)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 #s(literal -3 binary64) a)))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (sqrt.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64))))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64)))) (sqrt.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))))) (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64)))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64))))) (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))) (.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))) (-.f64 (.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))))))) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal 27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) #s(literal 1 binary64)) (.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal 27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal 27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) #s(literal 1 binary64)) (.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64))) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))))) (.f64 (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))))) (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))) (/.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64)))))))
(pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) #s(literal -1 binary64))
(.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))))
(.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64))) (.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64))))))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))
(.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64))))))
(.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))))
(.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64)))))))
(.f64 (-.f64 (.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 9 binary64)))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (*.f64 b b))))
(.f64 (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))))
(.f64 (pow.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -9 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -3 binary64)))
(neg.f64 (*.f64 b #s(literal -3 binary64)))
(/.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 b #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) b))
(*.f64 b #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 b))
(*.f64 #s(literal 3 binary64) b)
(.f64 (.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 b) #s(literal -3 binary64))
(.f64 #s(literal 1 binary64) (.f64 b #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 b #s(literal -3 binary64)))

simplify482.0ms (4.4%)

Memory

-35.6MiB live, 864.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 998×	`accelerator-lowering-fma.f32`
12 998×	`accelerator-lowering-fma.f64`
8 876×	`-lowering-.f32`
8 876×	`-lowering-.f64`
3 660×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	6521
1	2158	6469
2	7359	6409
0	8360	6157

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

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

eval271.0ms (2.4%)

Memory: 29.2MiB live, 526.9MiB allocated
Compiler: Compiled 51 031 to 4 040 computations (92.1% saved)

prune271.0ms (2.4%)

Memory

16.3MiB live, 529.0MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	2 186	23	2 209
Fresh	11	19	30
Picked	2	3	5
Done	0	3	3
Total	2 199	48	2 247

Accuracy

100.0%

Counts

2 247 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.8%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a)) #s(literal 3 binary64))
	18.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 c)) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	15.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	18.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
	25.8%	(/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))))))
✓	50.5%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))
	38.9%	(/.f64 (/.f64 (-.f64 (neg.f64 b) b) a) #s(literal 3 binary64))
	31.2%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b) a)
	36.8%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
	50.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
	29.9%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) (*.f64 a #s(literal 3 binary64)))
	30.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
	30.0%	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a)
	38.9%	(/.f64 (*.f64 (-.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	29.9%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 a #s(literal -3/2 binary64))) c) a)
	31.2%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) b) #s(literal -3/2 binary64)) (*.f64 a c)) a)
	32.4%	(/.f64 (.f64 (.f64 (*.f64 a #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 c b)) a)
	36.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓	38.9%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	31.7%	(/.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a (/.f64 (*.f64 b #s(literal 2/3 binary64)) c)))
	2.4%	(/.f64 b (*.f64 a #s(literal 3 binary64)))
	38.9%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	38.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))
	38.9%	(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
	46.8%	(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) a)) #s(literal 1/3 binary64))
	38.7%	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
✓	50.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
	30.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 c a))) b) a) #s(literal 1/3 binary64))
	36.7%	(.f64 (/.f64 (.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
	30.3%	(.f64 (/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (.f64 a b)) #s(literal 1/3 binary64))
✓	38.8%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	36.7%	(.f64 (/.f64 #s(literal 3/2 binary64) b) (.f64 c #s(literal -1/3 binary64)))
	38.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))) b)
	15.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) #s(literal 1/3 binary64)))
	30.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c)) b) #s(literal 1/3 binary64)))
	38.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
	30.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b))
✓	38.9%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	29.9%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) #s(literal -3 binary64)))
	38.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
	36.8%	(.f64 (.f64 (*.f64 c #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
	36.7%	(.f64 (.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal -1/3 binary64) b))
	36.7%	(.f64 (.f64 c #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/3 binary64)))
	32.2%	(.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a (.f64 b (.f64 a #s(literal 3 binary64)))))
	31.2%	(.f64 (.f64 c #s(literal -3/2 binary64)) (.f64 (/.f64 a (.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) a)))
	29.3%	(.f64 (.f64 a #s(literal -3/2 binary64)) (.f64 c (/.f64 #s(literal 1/3 binary64) (.f64 b a))))
	36.7%	(.f64 c (/.f64 #s(literal 3/2 binary64) (.f64 b #s(literal -3 binary64))))
	36.8%	(.f64 #s(literal 3/2 binary64) (.f64 (/.f64 c b) #s(literal -1/3 binary64)))

Compiler

Compiled 1 834 to 790 computations (56.9% saved)

regimes191.0ms (1.7%)

Memory

-32.4MiB live, 141.6MiB allocated

Counts

86 → 4

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) b))
(.f64 #s(literal 3/2 binary64) (.f64 (/.f64 c b) #s(literal -1/3 binary64)))
(.f64 c (/.f64 #s(literal 3/2 binary64) (.f64 b #s(literal -3 binary64))))
(.f64 (.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal -1/3 binary64) b))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))) b)
(.f64 (/.f64 #s(literal 3/2 binary64) b) (.f64 c #s(literal -1/3 binary64)))
(.f64 (/.f64 (.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(.f64 (.f64 c #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/3 binary64)))
(.f64 (.f64 (*.f64 c #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal -3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 (neg.f64 b) b) a) #s(literal 3 binary64))
(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 a #s(literal 3 binary64)))))
(.f64 a (/.f64 (.f64 c #s(literal -3/2 binary64)) (.f64 b (.f64 a #s(literal 3 binary64)))))
(.f64 (.f64 a #s(literal -3/2 binary64)) (.f64 c (/.f64 #s(literal 1/3 binary64) (.f64 b a))))
(.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (.f64 b (.f64 a #s(literal 3 binary64)))))
(.f64 (.f64 c #s(literal -3/2 binary64)) (/.f64 a (.f64 b (.f64 a #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (.f64 a b)) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))
(.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 a #s(literal 3 binary64)))))
(.f64 (.f64 a c) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 #s(literal 1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(/.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a (/.f64 (*.f64 b #s(literal 2/3 binary64)) c)))
(/.f64 (.f64 (.f64 (*.f64 a #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 c b)) a)
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) b) #s(literal -3/2 binary64)) (*.f64 a c)) a)
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 a #s(literal -3/2 binary64))) c) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) b)) a)
(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) a) #s(literal 1/3 binary64))
(.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 c a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) (*.f64 a #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(.f64 (.f64 c #s(literal -3/2 binary64)) (.f64 (/.f64 a (.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) 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 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) 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 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.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 (fma.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 a c))) b) #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 1/3 binary64) (/.f64 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 -3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64))
(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 c)) (neg.f64 b)) (.f64 #s(literal 3 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) (neg.f64 b)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) a)) #s(literal 1/3 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 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal 3 binary64)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) a)) #s(literal 3 binary64))
(/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 a (.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))))
(/.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.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 3 binary64)))
(.f64 (+.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)))) (.f64 a (.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) a) (/.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 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))

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

Calls

5 calls:

60.0ms	(/.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))
44.0ms	a
23.0ms	(*.f64 #s(literal 3 binary64) a)
22.0ms	c
22.0ms	b

Results

Accuracy	Segments	Branch
50.5%	1	`a`
92.0%	4	`b`
54.1%	3	`c`
77.3%	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))`
50.5%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes58.0ms (0.5%)

Memory

8.3MiB live, 45.7MiB allocated

Counts

83 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

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

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

Calls

1 calls:

54.0ms

Results

Accuracy	Segments	Branch
90.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes50.0ms (0.4%)

Memory

3.6MiB live, 49.4MiB allocated

Counts

80 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

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

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

Calls

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
90.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.4%)

Memory

-14.7MiB live, 22.3MiB allocated

Counts

69 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

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

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

Calls

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
90.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
90.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.4%)

Memory

-18.8MiB live, 19.3MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
86.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.4%)

Memory

-9.5MiB live, 28.5MiB allocated

Counts

46 → 3

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes65.0ms (0.6%)

Memory

-8.3MiB live, 38.0MiB allocated

Counts

44 → 3

Calls

Call 1

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

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

Calls

1 calls:

63.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

42 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-18.7MiB live, 20.2MiB allocated

Counts

41 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
73.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

Calls

5 calls:

2.0ms	b
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	c
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
38.9%	1	`a`
38.9%	1	`(*.f64 #s(literal 3 binary64) a)`
38.9%	1	`c`
38.9%	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))`
38.9%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)

Calls

5 calls:

2.0ms	(*.f64 #s(literal 3 binary64) a)
1.0ms	a
1.0ms	c
1.0ms	b
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
38.9%	1	`a`
38.9%	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))`
38.9%	1	`(*.f64 #s(literal 3 binary64) a)`
38.9%	1	`c`
38.9%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch116.0ms (1%)

Memory

-16.8MiB live, 106.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	1.461589598120657e+39	4.0111726186260523e+46
28.0ms	1.6492438741316648e-137	1.536282103901337e-132
15.0ms	-2.2220157803885925e+80	-2.8595902731856765e+77

Samples

23.0ms	268×	0	valid
12.0ms	60×	2	valid
10.0ms	73×	1	valid
7.0ms	89×	0	invalid
4.0ms	14×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 1 447 to 770 computations (46.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 11.0ms (30.1% of total)

ival-div: 5.0ms (13.7% of total)

ival-sqrt: 5.0ms (13.7% of total)

ival-neg: 4.0ms (11% of total)

ival-sub: 4.0ms (11% of total)

ival-add: 4.0ms (11% of total)

adjust: 3.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch78.0ms (0.7%)

Memory

-2.6MiB live, 69.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	5.902821287851088e-54	3.2170316132429674e-44
35.0ms	-2.2220157803885925e+80	-2.8595902731856765e+77

Samples

36.0ms	215×	0	valid
6.0ms	45×	1	valid
5.0ms	27×	2	valid
4.0ms	49×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 635 to 414 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (33% of total)

ival-div: 3.0ms (14.1% of total)

ival-sqrt: 3.0ms (14.1% of total)

ival-sub: 2.0ms (9.4% of total)

ival-neg: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% of total)

adjust: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch65.0ms (0.6%)

Memory

13.4MiB live, 52.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	5.902821287851088e-54	3.2170316132429674e-44
14.0ms	-2.2220157803885925e+80	-2.8595902731856765e+77

Samples

20.0ms	37×	0	invalid
15.0ms	206×	0	valid
6.0ms	47×	1	valid
6.0ms	30×	2	valid
1.0ms	3×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 527 to 378 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 19.0ms (49.2% of total)

ival-mult: 7.0ms (18.1% of total)

ival-div: 3.0ms (7.8% of total)

ival-sqrt: 3.0ms (7.8% of total)

adjust: 2.0ms (5.2% of total)

ival-neg: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch69.0ms (0.6%)

Memory

10.3MiB live, 57.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.902821287851088e-54	3.2170316132429674e-44
34.0ms	-2.8595902731856765e+77	-6.6236653693673425e+75

Samples

13.0ms	183×	0	valid
7.0ms	49×	1	valid
7.0ms	33×	2	valid
3.0ms	36×	0	invalid
2.0ms	6×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 499 to 358 computations (28.3% saved)

Precisions

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

ival-mult: 7.0ms (31.9% of total)

ival-div: 3.0ms (13.7% of total)

ival-sqrt: 3.0ms (13.7% of total)

adjust: 2.0ms (9.1% of total)

ival-sub: 2.0ms (9.1% of total)

ival-neg: 2.0ms (9.1% of total)

ival-add: 2.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch68.0ms (0.6%)

Memory

-19.4MiB live, 19.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	5.902821287851088e-54	3.2170316132429674e-44
15.0ms	-2.2220157803885925e+80	-2.8595902731856765e+77

Samples

25.0ms	45×	1	valid
15.0ms	209×	0	valid
6.0ms	29×	2	valid
3.0ms	45×	0	invalid
1.0ms	4×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 527 to 378 computations (28.3% saved)

Precisions

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

ival-sqrt: 22.0ms (54.3% of total)

ival-mult: 7.0ms (17.3% of total)

ival-div: 3.0ms (7.4% of total)

adjust: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch81.0ms (0.7%)

Memory

30.1MiB live, 65.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.902821287851088e-54	3.2170316132429674e-44
45.0ms	-2.849003294809487e-91	-4.010213071341754e-98

Samples

15.0ms	214×	0	valid
8.0ms	56×	1	valid
6.0ms	31×	2	valid
6.0ms	79×	0	invalid
1.0ms	3×	3	valid

Compiler

Compiled 589 to 443 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 8.0ms (32.6% of total)

ival-sqrt: 4.0ms (16.3% of total)

ival-div: 3.0ms (12.2% of total)

adjust: 2.0ms (8.1% of total)

ival-sub: 2.0ms (8.1% of total)

ival-neg: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch88.0ms (0.8%)

Memory

-30.4MiB live, 58.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	5.902821287851088e-54	3.2170316132429674e-44
39.0ms	-2.849003294809487e-91	-4.010213071341754e-98

Samples

20.0ms	36×	2	valid
15.0ms	214×	0	valid
7.0ms	52×	1	valid
6.0ms	78×	0	invalid
1.0ms	2×	3	valid

Compiler

Compiled 570 to 424 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 21.0ms (56.1% of total)

ival-sqrt: 4.0ms (10.7% of total)

ival-div: 3.0ms (8% of total)

adjust: 2.0ms (5.3% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch76.0ms (0.7%)

Memory

5.7MiB live, 82.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	5.902821287851088e-54	3.2170316132429674e-44
29.0ms	-2.849003294809487e-91	-4.010213071341754e-98

Samples

24.0ms	217×	0	valid
17.0ms	87×	0	invalid
7.0ms	50×	1	valid
6.0ms	30×	2	valid
1.0ms	5×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 498 to 379 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 19.0ms (42.7% of total)

ival-sub: 11.0ms (24.7% of total)

ival-sqrt: 4.0ms (9% of total)

ival-div: 3.0ms (6.7% 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)

bsearch87.0ms (0.8%)

Memory

21.2MiB live, 101.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	5.902821287851088e-54	3.2170316132429674e-44
36.0ms	-2.849003294809487e-91	-4.010213071341754e-98

Samples

39.0ms	77×	0	invalid
16.0ms	224×	0	valid
7.0ms	54×	1	valid
5.0ms	24×	2	valid
0.0ms	1×	4	valid
0.0ms	1×	3	valid

Compiler

Compiled 498 to 379 computations (23.9% saved)

Precisions

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

ival-mult: 25.0ms (61.4% of total)

ival-sqrt: 4.0ms (9.8% of total)

ival-div: 3.0ms (7.4% of total)

adjust: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch83.0ms (0.7%)

Memory

-24.6MiB live, 53.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	5.902821287851088e-54	3.2170316132429674e-44
39.0ms	-2.849003294809487e-91	-4.010213071341754e-98

Samples

24.0ms	78×	0	invalid
16.0ms	227×	0	valid
7.0ms	51×	1	valid
5.0ms	23×	2	valid
1.0ms	2×	4	valid
0.0ms	1×	3	valid

Compiler

Compiled 498 to 379 computations (23.9% saved)

Precisions

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

ival-mult: 8.0ms (33.9% of total)

ival-div: 3.0ms (12.7% of total)

ival-sqrt: 3.0ms (12.7% of total)

adjust: 2.0ms (8.5% of total)

ival-sub: 2.0ms (8.5% of total)

ival-neg: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory

-9.6MiB live, 29.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-5.016683665998755e-303	2.8255407742370503e-306

Samples

10.0ms	144×	0	valid
5.0ms	72×	0	invalid

Compiler

Compiled 185 to 144 computations (22.2% saved)

Precisions

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

ival-mult: 4.0ms (40.7% of total)

ival-div: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

ival-sqrt: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify89.0ms (0.8%)

Memory

16.0MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Rules

550×	`unsub-neg_binary64`
518×	`distribute-lft-neg-in_binary64`
454×	`neg-mul-1_binary64`
294×	`neg-sub0_binary64`
256×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	415
1	173	412
2	212	412
3	285	412
4	386	410
5	536	410
6	866	410
7	1167	410
8	1297	410
9	1489	410
10	1666	410
11	1844	410
12	1990	410
13	2090	410
14	2124	410
15	2132	410
16	2133	410
17	2133	410

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -195999999999999994259979293057754593627817183713279808293108428778638808488869888 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 1728350240969163/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 3399999999999999885680602134547995295744 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -27500000000000000336418624259042209478779496836300323498533466926425656371707904 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3504793066729583/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000000000000002691348994072337675830235974690402587988267735411405250973663232 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5560489000099819/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000000000000002691348994072337675830235974690402587988267735411405250973663232 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 2797094466716879/1684996666696914987166688442938726917102321526408785780068975640576 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -160544903119305/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 210287584003775/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6458492102628041/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 463711082674991/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -802724515596525/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6575919231766733/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) a) #s(literal 1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -160544903119305/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6362547413447551/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)

Outputs
(if (<=.f64 b #s(literal -195999999999999994259979293057754593627817183713279808293108428778638808488869888 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 1728350240969163/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 3399999999999999885680602134547995295744 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) (neg.f64 b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -195999999999999994259979293057754593627817183713279808293108428778638808488869888 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 1728350240969163/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal -1 binary64) a))) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 3399999999999999885680602134547995295744 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))))) (/.f64 (.f64 c (.f64 a #s(literal 3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))))) (.f64 a #s(literal 3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -27500000000000000336418624259042209478779496836300323498533466926425656371707904 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3504793066729583/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -27500000000000000336418624259042209478779496836300323498533466926425656371707904 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3504793066729583/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal -1 binary64) a))) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000000000000002691348994072337675830235974690402587988267735411405250973663232 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 3 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5560489000099819/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) a) #s(literal 1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000000000000002691348994072337675830235974690402587988267735411405250973663232 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 2797094466716879/1684996666696914987166688442938726917102321526408785780068975640576 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -160544903119305/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 210287584003775/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -160544903119305/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 210287584003775/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b) (.f64 a #s(literal 3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6458492102628041/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 463711082674991/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6458492102628041/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 463711082674991/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -802724515596525/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b) #s(literal 1/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -802724515596525/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6575919231766733/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) a) #s(literal 1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6575919231766733/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -160544903119305/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6362547413447551/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -160544903119305/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6362547413447551/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

soundness1.1s (10.4%)

Memory

-21.1MiB live, 957.7MiB allocated

Rules

10 788×	`accelerator-lowering-fma.f32`
10 788×	`accelerator-lowering-fma.f64`
7 958×	`accelerator-lowering-fma.f32`
7 958×	`accelerator-lowering-fma.f64`
7 910×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	223
1	226	217
2	1835	217
0	8439	192
0	1105	13871
1	3605	13521
0	8382	12945
0	12	51
1	63	49
2	517	48
3	6808	48
0	8097	44
0	34	162
1	169	159
0	1311	151
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230

Stop Event

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

Compiler

Compiled 1 103 to 634 computations (42.5% saved)

preprocess85.0ms (0.8%)

Memory: 26.3MiB live, 256.7MiB allocated
Compiler: Compiled 866 to 284 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze163.0ms (1.5%)

sample1.7s (15.1%)

preprocess137.0ms (1.2%)

explain216.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify90.0ms (0.8%)

localize54.0ms (0.5%)

series24.0ms (0.2%)

rewrite346.0ms (3.1%)

simplify422.0ms (3.8%)

eval86.0ms (0.8%)

prune103.0ms (0.9%)

simplify294.0ms (2.7%)

localize186.0ms (1.7%)

series68.0ms (0.6%)

rewrite519.0ms (4.7%)

simplify475.0ms (4.3%)

eval296.0ms (2.7%)

prune255.0ms (2.3%)

simplify165.0ms (1.5%)

localize155.0ms (1.4%)

series38.0ms (0.3%)

rewrite83.0ms (0.7%)

simplify465.0ms (4.2%)

eval131.0ms (1.2%)

prune109.0ms (1%)

simplify249.0ms (2.2%)

localize142.0ms (1.3%)

series20.0ms (0.2%)

rewrite360.0ms (3.2%)

simplify482.0ms (4.4%)

eval271.0ms (2.4%)

prune271.0ms (2.4%)

regimes191.0ms (1.7%)

regimes58.0ms (0.5%)

regimes50.0ms (0.4%)

regimes49.0ms (0.4%)

regimes17.0ms (0.2%)

regimes39.0ms (0.4%)

regimes15.0ms (0.1%)

regimes41.0ms (0.4%)

regimes65.0ms (0.6%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch116.0ms (1%)

bsearch78.0ms (0.7%)

bsearch65.0ms (0.6%)

bsearch69.0ms (0.6%)

bsearch68.0ms (0.6%)

bsearch81.0ms (0.7%)

bsearch88.0ms (0.8%)

bsearch76.0ms (0.7%)

bsearch87.0ms (0.8%)

bsearch83.0ms (0.7%)

bsearch27.0ms (0.2%)

simplify89.0ms (0.8%)

soundness1.1s (10.4%)

preprocess85.0ms (0.8%)

end0.0ms (0%)

Profiling