Metrics for Cubic critical

analyze130.0ms (1.2%)

Memory

-48.9MiB live, 312.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.5s (13.8%)

Memory

27.9MiB live, 1 981.0MiB allocated

Samples

450.0ms	5 484×	0	valid
270.0ms	1 234×	2	valid
231.0ms	1 375×	1	valid
67.0ms	883×	0	invalid
65.0ms	163×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 786.0ms

ival-mult: 191.0ms (24.3% of total)

ival-sqrt: 141.0ms (17.9% of total)

ival-sub: 117.0ms (14.9% of total)

ival-div: 115.0ms (14.6% of total)

ival-add: 78.0ms (9.9% of total)

adjust: 72.0ms (9.2% of total)

ival-neg: 56.0ms (7.1% of total)

ival-true: 7.0ms (0.9% of total)

exact: 6.0ms (0.8% of total)

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

Bogosity

preprocess135.0ms (1.2%)

Memory

31.3MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain185.0ms (1.7%)

Memory

-24.9MiB live, 354.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
109	-	1	(2.705589823009027e-17 8.044008480703252e-167 -5.851853812988427e-306)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
57	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
12	-	1	(5.3453405907681325e-238 5.823494578180228e+75 1.4362231053667414e-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))`
3	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`c`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	102	0
↳	`(*.f64 b b)`	overflow	83
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	28
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	102
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	57	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	11	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	30
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	6
↳	`(*.f64 b b)`	underflow	46
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	23
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	6	0
↳	`(*.f64 b b)`	underflow	46
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	30
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	83
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	28

Confusion

	Predicted +	Predicted -
+	124	1
-	23	108

Precision

0.8435374149659864

Recall

0.992

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	1
-	23	0	108

Precision?

0.8435374149659864

Recall?

0.992

Freqs

test

number	freq
0	109
1	116
2	30
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	352×	0	valid
14.0ms	66×	2	valid
13.0ms	86×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 10.0ms (28.3% of total)

ival-sqrt: 6.0ms (17% of total)

ival-div: 5.0ms (14.2% of total)

adjust: 4.0ms (11.3% of total)

ival-sub: 3.0ms (8.5% of total)

ival-add: 3.0ms (8.5% of total)

ival-neg: 2.0ms (5.7% of total)

ival-true: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(/.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))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify90.0ms (0.8%)

Memory

-12.2MiB live, 96.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.5%)

Memory

27.2MiB live, 108.2MiB 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	79.1%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	60.4%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

15.0ms	176×	0	valid
7.0ms	33×	2	valid
6.0ms	43×	1	valid
5.0ms	4×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-mult: 6.0ms (32.3% of total)

ival-sqrt: 3.0ms (16.1% of total)

ival-sub: 2.0ms (10.8% of total)

adjust: 2.0ms (10.8% of total)

ival-div: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-27.8MiB live, 48.8MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify422.0ms (3.8%)

Memory

11.7MiB live, 729.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite333.0ms (3%)

Memory

-5.8MiB live, 431.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

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

eval81.0ms (0.7%)

Memory: 21.9MiB live, 172.9MiB allocated
Compiler: Compiled 22 670 to 2 107 computations (90.7% saved)

prune93.0ms (0.9%)

Memory

5.9MiB live, 242.0MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	573	20	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	574	20	594

Accuracy

91.5%

Counts

594 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.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))))))
▶	53.0%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	52.1%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
	53.0%	(/.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))
	28.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a))
	35.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	29.5%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal -1/3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	35.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))
▶	26.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	35.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
▶	35.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)))
	52.5%	(-.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)))
▶	35.6%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	35.6%	(.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)))
	52.9%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	33.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
▶	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	31.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))

Compiler

Compiled 742 to 470 computations (36.7% saved)

simplify377.0ms (3.4%)

Memory

-18.1MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 496×	`lower-fma.f32`
2 494×	`lower-fma.f64`
1 832×	`lower-*.f32`
1 818×	`lower-*.f64`
1 222×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	311
0	59	309
1	106	303
2	201	303
3	383	303
4	708	303
5	1460	303
6	2836	303
7	4223	303
8	5850	303
9	6101	303
10	6138	303
11	6163	303
12	6179	303
13	6179	303
14	6199	303
15	6207	303
16	6207	303
17	6307	303
18	6531	303
19	6599	303
20	6613	303
21	6615	303
22	6615	303
23	6615	303
24	6652	303
25	6652	303
0	6652	303

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize243.0ms (2.2%)

Memory

22.8MiB live, 252.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
✓	accuracy	95.0%	(/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
✓	accuracy	79.0%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.4%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.5%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
✓	accuracy	94.2%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	79.0%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.4%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.7%	(.f64 (.f64 a c) #s(literal -3/2 binary64))
✓	accuracy	95.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	93.1%	(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
✓	accuracy	33.3%	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b))
✓	accuracy	99.7%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	accuracy	99.4%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
✓	accuracy	99.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
✓	accuracy	95.6%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	79.1%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.4%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

66.0ms	92×	0	valid
65.0ms	76×	1	valid
45.0ms	78×	2	valid
7.0ms	10×	3	valid

Compiler

Compiled 306 to 36 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 56.0ms (38.2% of total)

ival-div: 54.0ms (36.8% of total)

adjust: 10.0ms (6.8% of total)

ival-add: 7.0ms (4.8% of total)

ival-sqrt: 7.0ms (4.8% of total)

const: 6.0ms (4.1% of total)

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

exact: 1.0ms (0.7% of total)

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

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

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

series316.0ms (2.9%)

Memory

-172.0MiB live, 95.0MiB allocated

Counts

17 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
259.0ms	a	@	0	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
6.0ms	a	@	-inf	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
3.0ms	c	@	-inf	(- b (sqrt (+ (* a (* -3 c)) (* b b))))
2.0ms	a	@	inf	(/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
2.0ms	c	@	-inf	(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)

simplify482.0ms (4.4%)

Memory

-3.2MiB live, 654.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 460×	`lower-*.f64`
7 460×	`lower-*.f32`
7 196×	`lower-fma.f64`
7 196×	`lower-fma.f32`
5 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1267	12699
1	4148	12500
0	8301	11960

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 537

Calls

Call 1

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

Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) b) a))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) (/.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c))) (*.f64 b b))))) b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
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b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
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b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c (.f64 a a))) (.f64 b (*.f64 b b)))) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
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(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
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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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(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
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(+ (* (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)))))))))
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b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(fma.f64 b (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b)
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (fma.f64 b (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(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))
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(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
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(.f64 (neg.f64 b) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 c (.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 3/2 (/ a (pow b 2))))) (* 2 (/ 1 c)))))
(.f64 (neg.f64 b) (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (.f64 a (.f64 c (.f64 (.f64 c (.f64 a a)) #s(literal -3/8 binary64)))) (fma.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (.f64 a (.f64 c c))) (.f64 (.f64 #s(literal 9/16 binary64) (.f64 a (.f64 a a))) (.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 c (.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c)))))
(* 3/2 (/ a b))
(*.f64 #s(literal 3/2 binary64) (/.f64 a b))
(+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))
(fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (/.f64 (.f64 #s(literal 9/8 binary64) (.f64 c (.f64 a a))) (.f64 b (*.f64 b b))))
(+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5))))))
(fma.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (.f64 a a) (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal 27/16 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 a b)))
(+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 c #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (.f64 #s(literal 27/16 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 #s(literal 3/2 binary64) (/.f64 a b)))
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) c)
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal -3 binary64) (/.f64 b #s(literal -3 binary64)))) c)
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))) c)
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 b #s(literal -3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64)) (.f64 c c)) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) c)
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))) c)
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 b #s(literal -3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 (.f64 b (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 c c) (.f64 b (.f64 b b))) (.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)))))) (.f64 c (.f64 c c))) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a))) #s(literal -1/2 binary64)) (.f64 c c)) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))))) c)
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(.f64 #s(literal -3 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))
(* -1 (/ (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c))
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 b #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (+ (* 3 (/ (* b c) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c))
(/.f64 (fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 b (/.f64 c #s(literal 3 binary64)) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64)) c))) (neg.f64 c))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4))))) c))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 c b)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (/.f64 (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 c c) (.f64 b (.f64 b b)))) (.f64 a (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))))) c)) c)) c)) (neg.f64 c))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))

rewrite375.0ms (3.4%)

Memory

32.4MiB live, 689.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 412×	`lower-fma.f32`
5 410×	`lower-fma.f64`
4 180×	`lower-*.f32`
4 166×	`lower-*.f64`
3 754×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	211
0	59	209
1	212	203
2	1531	203
0	8670	203

Stop Event

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

Counts

17 → 896

Calls

Call 1

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

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

eval292.0ms (2.7%)

Memory: 31.1MiB live, 642.6MiB allocated
Compiler: Compiled 58 288 to 4 458 computations (92.4% saved)

prune311.0ms (2.8%)

Memory

-34.7MiB live, 703.5MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1 750	31	1 781
Fresh	11	4	15
Picked	3	2	5
Done	0	0	0
Total	1 764	37	1 801

Accuracy

91.5%

Counts

1 801 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.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))))))
	35.6%	(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
▶	53.0%	(/.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))
	35.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	29.5%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal -1/3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	52.9%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
	26.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
▶	28.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
	28.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (/.f64 (.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
	35.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)))
▶	9.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c)))))
	2.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))
	52.5%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
	35.6%	(.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) a) #s(literal 1/3 binary64))
✓	35.6%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	26.2%	(.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) a) #s(literal 1/3 binary64))
	9.6%	(.f64 (/.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 1/3 binary64))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) a))) #s(literal 1/3 binary64))
	52.9%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) b))
	53.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal -3 binary64)))
	52.9%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
	35.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(literal 1/3 binary64))
	9.6%	(.f64 #s(approx (/ (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
	33.3%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	34.2%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	35.5%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
▶	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a))
✓	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal -1 binary64))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	9.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
▶	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))

Compiler

Compiled 1 135 to 730 computations (35.7% saved)

simplify201.0ms (1.8%)

Memory

-16.9MiB live, 368.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	#s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c)))))
✓	cost-diff	448	(.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c)))
✓	cost-diff	0	(*.f64 a (/.f64 c b))
✓	cost-diff	0	(.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))
✓	cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	0	(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
✓	cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
✓	cost-diff	384	(/.f64 b #s(literal -3/2 binary64))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	cost-diff	0	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.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))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))))

Rules

3 476×	`lower-fma.f32`
3 472×	`lower-fma.f64`
2 428×	`lower-*.f32`
2 414×	`lower-*.f64`
1 792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	303
0	75	300
1	137	290
2	271	290
3	617	290
4	1209	284
5	2601	284
6	4335	284
7	6294	284
8	7858	284
0	8058	281

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (1.6%)

Memory

-1.7MiB live, 409.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c)))))
✓	accuracy	93.1%	(.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c)))
✓	accuracy	88.1%	(/.f64 a (*.f64 b b))
✓	accuracy	35.8%	#s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -2 binary64) c))))
✓	accuracy	99.7%	(.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))
✓	accuracy	95.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	93.0%	(*.f64 a (/.f64 c b))
✓	accuracy	33.3%	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))
✓	accuracy	100.0%	(/.f64 b #s(literal -3/2 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
✓	accuracy	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.6%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	accuracy	33.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
✓	accuracy	99.0%	(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
✓	accuracy	95.4%	(/.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))
✓	accuracy	79.1%	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))))
✓	accuracy	60.4%	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))

Samples

47.0ms	78×	2	valid
34.0ms	75×	1	valid
30.0ms	93×	0	valid
8.0ms	10×	3	valid

Compiler

Compiled 255 to 45 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 22.0ms (25.9% of total)

ival-div: 19.0ms (22.4% of total)

adjust: 13.0ms (15.3% of total)

ival-add: 13.0ms (15.3% of total)

ival-sqrt: 9.0ms (10.6% of total)

const: 5.0ms (5.9% of total)

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

exact: 1.0ms (1.2% of total)

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

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

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

series27.0ms (0.2%)

Memory

17.8MiB live, 55.8MiB allocated

Counts

19 → 588

Calls

Call 1

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

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

Calls

147 calls:

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

simplify489.0ms (4.5%)

Memory

-2.5MiB live, 787.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 940×	`lower-fma.f64`
11 940×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
4 762×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	922	11015
1	2966	10807
0	8842	10346

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 585

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

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

rewrite458.0ms (4.2%)

Memory

-15.6MiB live, 459.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 318×	`lower-/.f32`
4 300×	`lower-/.f64`
4 242×	`lower-*.f32`
4 228×	`lower-*.f64`
4 062×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	248
0	75	245
1	297	235
2	2039	235
0	8192	235

Stop Event

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

Counts

19 → 582

Calls

Call 1

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

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

eval217.0ms (2%)

Memory: 44.8MiB live, 225.1MiB allocated
Compiler: Compiled 28 464 to 2 745 computations (90.4% saved)

prune358.0ms (3.3%)

Memory

6.4MiB live, 321.0MiB allocated

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1 172	19	1 191
Fresh	9	21	30
Picked	2	3	5
Done	0	2	2
Total	1 183	45	1 228

Accuracy

91.5%

Counts

1 228 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.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))))))
✓	53.0%	(/.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))
	35.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	9.9%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* a c) -3) (* b b))) (fma.f64 a (/.f64 (.f64 #s(literal -3/2 binary64) c) b) b))) (.f64 #s(literal 3 binary64) a))
	29.5%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal -1/3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	52.9%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
	26.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
▶	25.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
▶	35.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)))
	5.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) c)))))
	9.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) #s(approx (* (neg b) (+ (* 3/2 (/ a (* b b))) (/ -2 c))) (.f64 b (fma.f64 #s(literal -3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
	52.5%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
	35.6%	(.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) a) #s(literal 1/3 binary64))
✓	35.6%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	26.2%	(.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) a) #s(literal 1/3 binary64))
	9.6%	(.f64 (/.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 1/3 binary64))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) a))) #s(literal 1/3 binary64))
	52.9%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))
▶	53.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -3 binary64)))
	52.9%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
	35.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(literal 1/3 binary64))
	9.6%	(.f64 #s(approx (/ (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
	33.3%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	34.2%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	35.5%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b a) #s(literal -3/2 binary64)))
✓	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)))
✓	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	32.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3/2 binary64) b)) #s(literal -1 binary64))) a))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a)))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))
▶	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64)))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) a))))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	9.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
✓	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 2/3 binary64)))
	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal 2/3 binary64)))
▶	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

Compiler

Compiled 1 298 to 847 computations (34.7% saved)

simplify502.0ms (4.6%)

Memory

-12.1MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 616×	`lower-fma.f32`
2 614×	`lower-fma.f64`
1 952×	`lower-*.f32`
1 934×	`lower-*.f64`
1 268×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	294
0	76	294
1	131	283
2	234	282
3	452	282
4	834	282
5	1886	282
6	3300	282
7	4486	282
8	5148	282
9	5352	282
10	5401	282
11	5421	282
12	5440	282
13	5618	282
14	5698	282
15	5698	282
16	5698	282
17	5834	282
18	6266	282
19	6426	282
20	6552	282
21	6614	282
22	6874	282
23	7296	282
24	7330	282
25	7334	282
26	7334	282
27	7373	282
28	7385	282
29	7411	282
30	7422	282
31	7422	282
0	7422	282

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize212.0ms (1.9%)

Memory

-0.5MiB live, 417.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)))
✓	accuracy	94.8%	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
✓	accuracy	79.0%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.4%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.7%	(.f64 (.f64 c (/.f64 a b)) #s(literal -3/2 binary64))
✓	accuracy	95.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	92.1%	(*.f64 c (/.f64 a b))
✓	accuracy	33.3%	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 c (/.f64 a b)) #s(literal -3/2 binary64)))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.0%	(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
✓	accuracy	35.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
✓	accuracy	99.7%	(*.f64 b (/.f64 #s(literal 2/3 binary64) a))
✓	accuracy	99.5%	(/.f64 #s(literal 2/3 binary64) a)
✓	accuracy	33.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
✓	accuracy	99.8%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal -3 binary64))
✓	accuracy	95.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -3 binary64)))
✓	accuracy	79.1%	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
✓	accuracy	60.4%	(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))

Samples

72.0ms	78×	2	valid
43.0ms	75×	1	valid
28.0ms	93×	0	valid
7.0ms	10×	3	valid

Compiler

Compiled 280 to 44 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

adjust: 35.0ms (31.2% of total)

ival-div: 25.0ms (22.3% of total)

ival-mult: 18.0ms (16.1% of total)

const: 13.0ms (11.6% of total)

ival-sqrt: 8.0ms (7.1% of total)

ival-add: 7.0ms (6.2% of total)

ival-sub: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series31.0ms (0.3%)

Memory

16.0MiB live, 54.8MiB allocated

Counts

20 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(/ a (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
1.0ms	a	@	-inf	(/ a (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
1.0ms	a	@	inf	(/ a (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
1.0ms	c	@	inf	(/ a (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))
0.0ms	a	@	inf	(/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) -3)

simplify401.0ms (3.7%)

Memory

-26.9MiB live, 752.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 594×	`lower-*.f64`
7 594×	`lower-*.f32`
7 186×	`lower-fma.f64`
7 186×	`lower-fma.f32`
5 116×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1235	14497
1	4105	14205
0	8454	13609

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

Calls

Call 1

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

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

rewrite313.0ms (2.9%)

Memory

15.2MiB live, 610.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 358×	`lower-fma.f32`
5 356×	`lower-fma.f64`
4 026×	`lower-/.f32`
4 010×	`lower-/.f64`
3 780×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	238
0	76	238
1	277	226
2	1730	226
0	8632	226

Stop Event

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

Counts

20 → 863

Calls

Call 1

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

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

eval208.0ms (1.9%)

Memory: 11.9MiB live, 460.9MiB allocated
Compiler: Compiled 45 866 to 4 261 computations (90.7% saved)

prune240.0ms (2.2%)

Memory

-27.9MiB live, 439.0MiB allocated

Pruning

51 alts after pruning (41 fresh and 10 done)

	Pruned	Kept	Total
New	1 533	7	1 540
Fresh	1	34	35
Picked	0	5	5
Done	0	5	5
Total	1 534	51	1 585

Accuracy

91.5%

Counts

1 585 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.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))))))
✓	53.0%	(/.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))
	35.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	9.9%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* a c) -3) (* b b))) (fma.f64 a (/.f64 (.f64 #s(literal -3/2 binary64) c) b) b))) (.f64 #s(literal 3 binary64) a))
	29.5%	(/.f64 (.f64 (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (/.f64 #s(literal -1/3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	52.9%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
	26.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
✓	25.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
✓	35.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)))
	9.6%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ a (+ b (sqrt (+ ( a (* -3 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 2/3 binary64)) c)) #s(literal 3 binary64)))
	5.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal 3/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) c)))))
	9.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) #s(approx (* (neg b) (+ (* 3/2 (/ a (* b b))) (/ -2 c))) (.f64 b (fma.f64 #s(literal -3/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
	35.6%	(.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) a) #s(literal 1/3 binary64))
✓	35.6%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	26.2%	(.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) a) #s(literal 1/3 binary64))
	9.6%	(.f64 (/.f64 #s(approx (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) (.f64 #s(literal 3/2 binary64) (.f64 a (/.f64 c b)))) a) #s(literal 1/3 binary64))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) a))) #s(literal 1/3 binary64))
	52.9%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))
	51.2%	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) #s(literal -1/3 binary64) (neg.f64 (.f64 b #s(literal -1/3 binary64)))))
✓	53.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -3 binary64)))
	35.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 #s(approx (sqrt (+ ( a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal -3 binary64)))
	52.9%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
	35.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(literal 1/3 binary64))
	9.6%	(.f64 #s(approx (/ (+ b (sqrt (+ ( a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
	33.3%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	34.2%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
	35.5%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b a) #s(literal -3/2 binary64)))
✓	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)))
✓	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	32.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3/2 binary64) b)) #s(literal -1 binary64))) a))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a)))
	35.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))
✓	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a))))
	16.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64)))))
	35.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) a))))
	17.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	9.6%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
✓	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 2/3 binary64)))
	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal 2/3 binary64)))
	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal 3/2 binary64)))))
✓	2.7%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
	1.3%	#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (.f64 b (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))))

Compiler

Compiled 1 754 to 749 computations (57.3% saved)

regimes124.0ms (1.1%)

Memory

24.1MiB live, 178.4MiB allocated

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

27.0ms	(*.f64 #s(literal 3 binary64) a)
26.0ms	a
26.0ms	c
21.0ms	b
20.0ms	(/.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
55.3%	2	`a`
86.3%	3	`b`
53.0%	1	`c`
75.4%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
55.3%	2	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes20.0ms (0.2%)

Memory

-12.5MiB live, 24.5MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

-1.2MiB live, 37.4MiB allocated

Counts

45 → 3

Calls

Call 1

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

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
83.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.3%)

Memory

-40.8MiB live, 52.8MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

14.0ms	(/.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))
14.0ms	b

Results

Accuracy	Segments	Branch
51.1%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
66.5%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
66.5%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Memory

-17.8MiB live, 54.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

8.0ms	b
4.0ms	c
3.0ms	a
3.0ms	(*.f64 #s(literal 3 binary64) a)
3.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
35.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
35.6%	1	`c`
35.6%	1	`a`
35.6%	1	`(*.f64 #s(literal 3 binary64) a)`
42.2%	2	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
42.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-18.1MiB live, 21.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
9.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
9.6%	1	`c`
9.6%	1	`a`
9.6%	1	`(*.f64 #s(literal 3 binary64) a)`
9.6%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
2.7%	1	`a`
2.7%	1	`(*.f64 #s(literal 3 binary64) a)`
2.7%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
2.7%	1	`b`
2.7%	1	`c`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch43.0ms (0.4%)

Memory

-25.3MiB live, 59.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.5132108216251235e-104	6.180033214992119e-97
16.0ms	-7.622250506394992e+149	-1.6443762361701152e+148

Samples

15.0ms	217×	0	valid
3.0ms	27×	1	valid
3.0ms	42×	0	invalid
2.0ms	12×	2	valid

Compiler

Compiled 517 to 368 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (32.3% of total)

ival-div: 2.0ms (12.9% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

adjust: 1.0ms (6.5% of total)

ival-sub: 1.0ms (6.5% of total)

ival-neg: 1.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.5132108216251235e-104	6.180033214992119e-97
12.0ms	-8.242303938796142e+151	-7.622250506394992e+149

Samples

8.0ms	112×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 501 to 352 computations (29.7% saved)

Precisions

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

ival-mult: 2.0ms (38.8% of total)

ival-div: 1.0ms (19.4% of total)

ival-sqrt: 1.0ms (19.4% of total)

ival-neg: 1.0ms (19.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.5132108216251235e-104	6.180033214992119e-97
14.0ms	-1.6045809707384932e+139	-2.2887834256831227e+131

Samples

9.0ms	128×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 532 to 374 computations (29.7% saved)

Precisions

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

ival-mult: 2.0ms (33.8% of total)

ival-div: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

ival-sub: 1.0ms (16.9% of total)

ival-sqrt: 1.0ms (16.9% of total)

ival-neg: 1.0ms (16.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch83.0ms (0.8%)

Memory

-18.1MiB live, 54.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.5132108216251235e-104	6.180033214992119e-97
55.0ms	-1.527565701876489e-89	-8.94771812069609e-100

Samples

11.0ms	160×	0	valid
3.0ms	35×	0	invalid

Compiler

Compiled 635 to 448 computations (29.4% saved)

Precisions

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

ival-mult: 3.0ms (34.4% of total)

ival-div: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

ival-sub: 1.0ms (11.5% of total)

ival-sqrt: 1.0ms (11.5% of total)

ival-neg: 1.0ms (11.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.806799932059483e-301	2.0998664080162486e-300

Samples

7.0ms	96×	0	valid
3.0ms	39×	0	invalid

Compiler

Compiled 143 to 102 computations (28.7% saved)

Precisions

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

ival-mult: 2.0ms (33.8% of total)

ival-div: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

ival-sub: 1.0ms (16.9% of total)

ival-sqrt: 1.0ms (16.9% of total)

ival-neg: 1.0ms (16.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.806799932059483e-301	2.0998664080162486e-300

Compiler

Compiled 143 to 102 computations (28.7% saved)

bsearch20.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.9525316661020566e-18	1.1358427098593947e-15

Samples

4.0ms	60×	0	valid
4.0ms	21×	2	valid
4.0ms	30×	1	valid
1.0ms	18×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 163 to 116 computations (28.8% saved)

Precisions

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

ival-mult: 3.0ms (32.5% of total)

adjust: 1.0ms (10.8% of total)

ival-div: 1.0ms (10.8% of total)

ival-sub: 1.0ms (10.8% of total)

ival-sqrt: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

ival-neg: 1.0ms (10.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.9525316661020566e-18	1.1358427098593947e-15

Compiler

Compiled 163 to 116 computations (28.8% saved)

simplify34.0ms (0.3%)

Memory

-34.5MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	549
1	129	547
2	143	547
3	151	547
4	155	547
5	156	547

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -46999999999999997191321368828588518064961644953413080596976174273032797034661120550707887327292845410995488708880912658705031303118077910038639280128 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1500000000000000023439844952938303221921327129509298799971412211095885382041588427909525753273179172729470724375105339008941016223842304 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal 588125577493393/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 588125577493393/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (.f64 a #s(literal -3/2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (.f64 a #s(literal -3/2 binary64)))) #s(approx (/ 1 (/ ( 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (/ 1 (/ ( 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

Outputs
(if (<=.f64 b #s(literal -46999999999999997191321368828588518064961644953413080596976174273032797034661120550707887327292845410995488708880912658705031303118077910038639280128 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -46999999999999997191321368828588518064961644953413080596976174273032797034661120550707887327292845410995488708880912658705031303118077910038639280128 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1500000000000000023439844952938303221921327129509298799971412211095885382041588427909525753273179172729470724375105339008941016223842304 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1500000000000000023439844952938303221921327129509298799971412211095885382041588427909525753273179172729470724375105339008941016223842304 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) (if (<=.f64 b #s(literal 6926133901709967/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64))))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal 588125577493393/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 588125577493393/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (.f64 a #s(literal -3/2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (.f64 a #s(literal -3/2 binary64)))) #s(approx (/ 1 (/ ( 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (/ 1 (/ ( 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (/.f64 #s(literal -2/3 binary64) a))) #s(approx (/ 1 (/ ( 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (/ (* 3 a) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

soundness1.1s (10.2%)

Memory

16.2MiB live, 604.2MiB allocated

Rules

10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
7 910×	`lower-*.f64`
7 910×	`lower-*.f32`
7 460×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44
0	50	248
0	75	245
1	297	235
2	2039	235
0	8192	235
0	38	211
0	59	209
1	212	203
2	1531	203
0	8670	203
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	1267	12699
1	4148	12500
0	8301	11960

Stop Event

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

Compiler

Compiled 534 to 287 computations (46.3% saved)

preprocess82.0ms (0.8%)

Memory: 2.8MiB live, 125.8MiB allocated
Compiler: Compiled 502 to 180 computations (64.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze130.0ms (1.2%)

sample1.5s (13.8%)

preprocess135.0ms (1.2%)

explain185.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify90.0ms (0.8%)

localize53.0ms (0.5%)

series24.0ms (0.2%)

simplify422.0ms (3.8%)

rewrite333.0ms (3%)

eval81.0ms (0.7%)

prune93.0ms (0.9%)

simplify377.0ms (3.4%)

localize243.0ms (2.2%)

series316.0ms (2.9%)

simplify482.0ms (4.4%)

rewrite375.0ms (3.4%)

eval292.0ms (2.7%)

prune311.0ms (2.8%)

simplify201.0ms (1.8%)

localize175.0ms (1.6%)

series27.0ms (0.2%)

simplify489.0ms (4.5%)

rewrite458.0ms (4.2%)

eval217.0ms (2%)

prune358.0ms (3.3%)

simplify502.0ms (4.6%)

localize212.0ms (1.9%)

series31.0ms (0.3%)

simplify401.0ms (3.7%)

rewrite313.0ms (2.9%)

eval208.0ms (1.9%)

prune240.0ms (2.2%)

regimes124.0ms (1.1%)

regimes20.0ms (0.2%)

regimes17.0ms (0.2%)

regimes14.0ms (0.1%)

regimes31.0ms (0.3%)

regimes7.0ms (0.1%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch43.0ms (0.4%)

bsearch15.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch83.0ms (0.8%)

bsearch16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

simplify34.0ms (0.3%)

soundness1.1s (10.2%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling