Metrics for Cubic critical

analyze119.0ms (1.2%)

Memory

21.6MiB live, 219.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (16.2%)

Memory

27.9MiB live, 2 281.2MiB allocated

Samples

495.0ms	5 555×	0	valid
263.0ms	1 097×	2	valid
215.0ms	1 352×	1	valid
79.0ms	222×	3	valid
66.0ms	939×	0	invalid
17.0ms	30×	4	valid
1.0ms	3×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

ival-mult: 266.0ms (31.1% of total)

ival-div: 138.0ms (16.2% of total)

ival-sqrt: 108.0ms (12.6% of total)

ival-sub: 98.0ms (11.5% of total)

ival-neg: 85.0ms (10% of total)

ival-add: 78.0ms (9.1% of total)

adjust: 64.0ms (7.5% of total)

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

exact: 5.0ms (0.6% of total)

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

Bogosity

preprocess153.0ms (1.5%)

Memory

7.5MiB live, 158.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain206.0ms (2.1%)

Memory

-30.4MiB live, 416.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
112	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
55	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
11	-	1	(1.7517831148311522e-68 1.9952091051396505e+250 2.50862053484718)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
2	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`c`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	108	0
↳	`(*.f64 b b)`	overflow	84
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	32
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	108
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	55	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	10	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	25
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
↳	`(*.f64 b b)`	underflow	55
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	24
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	55
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	25
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	84
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	32

Confusion

	Predicted +	Predicted -
+	131	0
-	14	111

Precision

0.903448275862069

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	14	0	111

Precision?

0.903448275862069

Recall?

1.0

Freqs

test

number	freq
0	111
1	113
2	30
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	354×	0	valid
16.0ms	70×	2	valid
12.0ms	72×	1	valid
5.0ms	14×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

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

ival-mult: 12.0ms (31.2% of total)

ival-sqrt: 6.0ms (15.6% of total)

ival-div: 5.0ms (13% of total)

ival-sub: 4.0ms (10.4% of total)

adjust: 4.0ms (10.4% of total)

ival-neg: 4.0ms (10.4% of total)

ival-add: 4.0ms (10.4% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify94.0ms (0.9%)

Memory

36.1MiB live, 112.7MiB 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

localize54.0ms (0.5%)

Memory

-25.1MiB live, 131.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
✓	accuracy	96.1%	(/.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))
✓	accuracy	80.0%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	59.1%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

18.0ms	177×	0	valid
9.0ms	35×	2	valid
6.0ms	36×	1	valid
2.0ms	7×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-mult: 8.0ms (36.9% of total)

ival-div: 3.0ms (13.8% of total)

ival-sqrt: 3.0ms (13.8% of total)

ival-sub: 2.0ms (9.2% of total)

adjust: 2.0ms (9.2% of total)

ival-neg: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% 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

19.9MiB live, 56.4MiB 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
3.0ms	a	@	-inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
2.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms	a	@	-inf	(sqrt (- (* b b) (* (* 3 a) c)))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite286.0ms (2.8%)

Memory

-2.6MiB live, 545.8MiB 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)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.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)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.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)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.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)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
(fma.f64 (/.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
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(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
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(.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)))))

simplify618.0ms (6.2%)

Memory

-109.8MiB live, 740.2MiB 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))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 c (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 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)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) #s(literal 1/3 binary64))) (/.f64 (fma.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 -1/6 binary64)) (.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) #s(literal 1/3 binary64))) (/.f64 (-.f64 (.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) c)) c)) (neg.f64 c))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* (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 #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))))))))))))

eval91.0ms (0.9%)

Memory: -13.9MiB live, 218.3MiB allocated
Compiler: Compiled 22 517 to 2 107 computations (90.6% saved)

prune160.0ms (1.6%)

Memory

-22.3MiB live, 248.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	575	18	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	576	18	594

Accuracy

90.0%

Counts

594 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.3%	(/.f64 (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (.f64 c #s(literal -1/2 binary64))) b)
	50.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
▶	27.4%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	50.0%	(/.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))
	50.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	50.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	27.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
	22.7%	(/.f64 (.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))) (*.f64 #s(literal 3 binary64) a))
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
▶	36.2%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	36.3%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))
	35.1%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
▶	30.7%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
▶	30.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
	50.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

Compiler

Compiled 606 to 414 computations (31.7% saved)

simplify372.0ms (3.7%)

Memory

-3.2MiB live, 272.3MiB 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 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
✓	cost-diff	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 a c)
✓	cost-diff	0	(.f64 (.f64 a c) #s(literal -3/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
✓	cost-diff	1344	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	0	(*.f64 b #s(literal -2/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))

Rules

3 924×	`lower-*.f32`
3 904×	`lower-*.f64`
2 798×	`lower-/.f32`
2 786×	`lower-/.f64`
2 586×	`lower-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	246
0	57	244
1	96	242
2	189	240
3	554	236
4	1218	236
5	2802	236
6	3784	236
7	4205	236
8	4743	236
0	8102	236

Stop Event

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

Calls

Call 1

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

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

localize259.0ms (2.6%)

Memory

18.1MiB live, 262.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
✓	accuracy	96.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
✓	accuracy	76.3%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.5%	(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	96.4%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	76.3%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.5%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) a)
✓	accuracy	99.7%	(.f64 (.f64 a c) #s(literal -3/2 binary64))
✓	accuracy	92.4%	(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
✓	accuracy	86.0%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	99.7%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	accuracy	99.4%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))
✓	accuracy	96.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	80.3%	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))
✓	accuracy	60.5%	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))

Samples

71.0ms	90×	0	valid
64.0ms	78×	2	valid
50.0ms	74×	1	valid
6.0ms	8×	3	valid
4.0ms	5×	5	exit
1.0ms	1×	4	valid

Compiler

Compiled 248 to 36 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 32.0ms (29.3% of total)

ival-sqrt: 27.0ms (24.7% of total)

ival-div: 22.0ms (20.2% of total)

ival-add: 10.0ms (9.2% of total)

adjust: 8.0ms (7.3% of total)

const: 7.0ms (6.4% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series57.0ms (0.6%)

Memory

-16.1MiB live, 60.6MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

138 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(/ (* b -2/3) a)
1.0ms	c	@	0	(/ (* (* a c) -3/2) b)
1.0ms	b	@	0	(/ (* (* a c) -3/2) b)
1.0ms	a	@	0	(/ (/ (* (* a c) -3/2) b) (* 3 a))
1.0ms	b	@	0	(/ (* b -2/3) a)

rewrite409.0ms (4.1%)

Memory

-1.1MiB live, 394.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 968×	`lower-*.f32`
3 948×	`lower-*.f64`
3 178×	`lower-/.f32`
3 166×	`lower-/.f64`
2 626×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	165
0	57	166
1	189	161
2	1112	158
0	9675	158

Stop Event

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

Counts

19 → 1 479

Calls

Call 1

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

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

simplify593.0ms (5.9%)

Memory

29.6MiB live, 938.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 990×	`lower-fma.f64`
12 990×	`lower-fma.f32`
8 734×	`lower-*.f64`
8 734×	`lower-*.f32`
5 610×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	888	10148
1	2936	10068
0	8499	9615

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 546

Calls

Call 1

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

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

eval299.0ms (3%)

Memory: 0.3MiB live, 793.2MiB allocated
Compiler: Compiled 62 026 to 4 287 computations (93.1% saved)

prune294.0ms (2.9%)

Memory

8.1MiB live, 965.4MiB allocated

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	2 220	36	2 256
Fresh	5	8	13
Picked	2	3	5
Done	0	0	0
Total	2 227	47	2 274

Accuracy

90.0%

Counts

2 274 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.3%	(/.f64 (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (.f64 c #s(literal -1/2 binary64))) b)
	50.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) a) #s(literal -3 binary64))
	10.3%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	2.4%	(/.f64 (/.f64 b #s(literal 3/2 binary64)) a)
	36.3%	(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
	36.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
	50.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a c) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
	27.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 3 binary64) a))
▶	30.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	30.8%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 1/3 binary64)) a)
	10.1%	(/.f64 (.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (.f64 b a))
	26.6%	(/.f64 (.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) #s(literal 1/3 binary64)) (.f64 b a))
	22.7%	(/.f64 (.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))) (*.f64 #s(literal 3 binary64) a))
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.4%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
✓	36.2%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
▶	10.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b)) a)
	10.4%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
	36.3%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	30.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))))))
	27.2%	(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 b (.f64 a (*.f64 c #s(literal -3/2 binary64)))) a))
	2.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	35.1%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
	2.1%	(.f64 (/.f64 (+.f64 b (fma.f64 a (/.f64 (.f64 c #s(literal -3/2 binary64)) b) b)) a) #s(literal 1/3 binary64))
✓	30.7%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	27.4%	(.f64 (/.f64 (.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
	2.4%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
	36.2%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	29.0%	(.f64 (/.f64 a #s(literal 3 binary64)) (/.f64 (/.f64 c (.f64 b #s(literal -2/3 binary64))) a))
	10.3%	(.f64 (/.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 a c) b))
	50.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)))
	24.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))))) #s(literal 1/3 binary64)))
✓	30.7%	(.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)))
▶	36.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
	2.4%	(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
▶	50.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
▶	36.2%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
	10.4%	(.f64 (.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	27.9%	(.f64 (.f64 (/.f64 c a) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
	10.1%	(.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
	27.4%	(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 a c) b) a))
	26.6%	(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 a #s(literal 3 binary64)))))
	2.4%	(neg.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
	18.5%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal -3/2 binary64)) b)) #s(literal -1 binary64)))

Compiler

Compiled 1 238 to 864 computations (30.2% saved)

simplify154.0ms (1.5%)

Memory

-20.4MiB live, 345.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64)))))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 (*.f64 a c) b)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b))
✓	cost-diff	1024	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b)) a)
✓	cost-diff	0	(*.f64 b #s(literal -2/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -2/3 binary64) a)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

Rules

3 142×	`lower-*.f32`
3 120×	`lower-*.f64`
1 928×	`lower-/.f32`
1 916×	`lower-/.f64`
1 724×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	159
0	56	157
1	95	155
2	163	155
3	305	151
4	595	151
5	1181	151
6	2665	151
7	3705	151
8	5822	151
0	8406	151

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.5%)

Memory

15.6MiB live, 211.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64)))))
✓	accuracy	99.8%	(.f64 a (.f64 c #s(literal -3 binary64)))
✓	accuracy	99.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	83.3%	(sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b))
✓	accuracy	94.0%	(/.f64 (*.f64 a c) b)
✓	accuracy	89.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b)) a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
✓	accuracy	99.6%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	accuracy	99.6%	(/.f64 #s(literal -2/3 binary64) a)
✓	accuracy	99.6%	(/.f64 #s(literal -1/3 binary64) a)
✓	accuracy	98.3%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
✓	accuracy	92.5%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	76.2%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

48.0ms	92×	0	invalid
34.0ms	131×	0	valid
5.0ms	12×	2	valid
5.0ms	15×	1	valid
2.0ms	4×	3	valid
1.0ms	1×	5	exit
1.0ms	1×	4	valid

Compiler

Compiled 161 to 35 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 20.0ms (41% of total)

ival-div: 10.0ms (20.5% of total)

const: 7.0ms (14.3% of total)

ival-sqrt: 4.0ms (8.2% of total)

adjust: 2.0ms (4.1% of total)

ival-add: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series35.0ms (0.3%)

Memory

11.5MiB live, 87.5MiB allocated

Counts

18 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite261.0ms (2.6%)

Memory

8.0MiB live, 469.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 690×	`lower-fma.f32`
4 688×	`lower-fma.f64`
4 150×	`lower-*.f32`
4 128×	`lower-*.f64`
3 242×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	118
0	56	116
1	175	114
2	1085	113
0	9304	110

Stop Event

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

Counts

18 → 853

Calls

Call 1

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

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

simplify411.0ms (4.1%)

Memory

-16.8MiB live, 567.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 144×	`lower-fma.f64`
10 144×	`lower-fma.f32`
8 198×	`lower-*.f64`
8 198×	`lower-*.f32`
2 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	609	5470
1	1927	5443
2	6558	5391
0	8050	5224

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

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

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

eval182.0ms (1.8%)

Memory: 25.7MiB live, 243.5MiB allocated
Compiler: Compiled 26 224 to 2 868 computations (89.1% saved)

prune183.0ms (1.8%)

Memory

-27.7MiB live, 352.9MiB allocated

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1 301	17	1 318
Fresh	15	24	39
Picked	1	4	5
Done	2	1	3
Total	1 319	46	1 365

Accuracy

99.9%

Counts

1 365 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (.f64 #s(literal 3 binary64) a))
	20.0%	(/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (.f64 #s(literal 3 binary64) a))
	28.3%	(/.f64 (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (.f64 c #s(literal -1/2 binary64))) b)
	24.3%	(/.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64))
	10.3%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	27.4%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b) a)
▶	2.4%	(/.f64 (/.f64 b #s(literal 3/2 binary64)) a)
	36.3%	(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
	36.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
	30.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
	30.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
	27.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 3 binary64) a))
	24.3%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/3 binary64)) a)
	10.1%	(/.f64 (.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (.f64 b a))
	26.6%	(/.f64 (.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) #s(literal 1/3 binary64)) (.f64 b a))
	22.7%	(/.f64 (.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))) (*.f64 #s(literal 3 binary64) a))
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.4%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
✓	36.2%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	10.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b)) a)
▶	27.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 c) (/.f64 a b))) a)
	10.4%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
	2.4%	(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
	36.3%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	24.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))))))
	2.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
▶	35.1%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
▶	50.6%	(.f64 (/.f64 (-.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) a))
	24.3%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
	10.3%	(.f64 (/.f64 (.f64 a c) b) (/.f64 #s(literal 1/2 binary64) a))
	27.4%	(.f64 (/.f64 (.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
	2.4%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
▶	36.2%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	29.0%	(.f64 (/.f64 a #s(literal 3 binary64)) (/.f64 (/.f64 c (.f64 b #s(literal -2/3 binary64))) a))
	10.3%	(.f64 (/.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 a c) b))
	24.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c)))) #s(literal 1/3 binary64)))
✓	36.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
✓	50.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	29.4%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (.f64 a (*.f64 (/.f64 c b) #s(literal 3/2 binary64))))
✓	36.2%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
	30.9%	(.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
	10.4%	(.f64 (.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	36.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
	10.1%	(.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
	26.6%	(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 a #s(literal 3 binary64)))))

Compiler

Compiled 1 120 to 808 computations (27.9% saved)

simplify208.0ms (2.1%)

Memory

0.4MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
✓	cost-diff	0	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
✓	cost-diff	448	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
✓	cost-diff	0	(neg.f64 c)
✓	cost-diff	0	(*.f64 (neg.f64 c) (/.f64 a b))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 c) (/.f64 a b)))
✓	cost-diff	1024	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 c) (/.f64 a b))) a)
✓	cost-diff	0	(/.f64 b #s(literal 3/2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 b #s(literal 3/2 binary64)) a)
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	cost-diff	320	(.f64 (/.f64 (-.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) a))
✓	cost-diff	384	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 3 binary64))

Rules

4 050×	`lower-fma.f32`
4 046×	`lower-fma.f64`
2 822×	`lower-*.f32`
2 808×	`lower-*.f64`
1 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	169
0	57	169
1	101	167
2	205	165
3	538	161
4	1520	161
5	3804	159
6	6256	159
7	7995	159
0	8132	158

Stop Event

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

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

localize134.0ms (1.3%)

Memory

-1.9MiB live, 208.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
✓	accuracy	99.4%	(/.f64 #s(literal 2/3 binary64) a)
✓	accuracy	94.8%	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
✓	accuracy	89.7%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
✓	accuracy	100.0%	(neg.f64 c)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 c) (/.f64 a b)))
✓	accuracy	92.4%	(*.f64 (neg.f64 c) (/.f64 a b))
✓	accuracy	85.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 c) (/.f64 a b))) a)
✓	accuracy	100.0%	(/.f64 b #s(literal 3/2 binary64))
✓	accuracy	99.7%	(/.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	99.8%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 3 binary64))
✓	accuracy	96.1%	(.f64 (/.f64 (-.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) a))
✓	accuracy	80.0%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	59.1%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

51.0ms	177×	0	valid
18.0ms	34×	2	valid
18.0ms	36×	1	valid
4.0ms	6×	3	valid
2.0ms	3×	4	valid

Compiler

Compiled 171 to 37 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 21.0ms (34.6% of total)

ival-mult: 17.0ms (28% of total)

const: 8.0ms (13.2% of total)

adjust: 4.0ms (6.6% of total)

ival-add: 4.0ms (6.6% of total)

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

ival-sub: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series24.0ms (0.2%)

Memory

6.4MiB live, 44.7MiB allocated

Counts

17 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
1.0ms	c	@	0	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
1.0ms	b	@	0	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
1.0ms	a	@	0	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
1.0ms	b	@	inf	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))

rewrite273.0ms (2.7%)

Memory

14.3MiB live, 437.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 454×	`lower-/.f32`
4 436×	`lower-/.f64`
3 836×	`lower-*.f32`
3 822×	`lower-*.f64`
3 516×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	126
0	57	126
1	194	122
2	1342	122
0	8483	122

Stop Event

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

Counts

17 → 742

Calls

Call 1

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

Outputs
(+.f64 (.f64 b #s(literal 1/3 binary64)) (neg.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #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 b #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)))
(-.f64 (/.f64 (/.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))))) #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))))) #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))))) #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))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 b (.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 (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 (.f64 b b) (.f64 #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 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 b #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 9 binary64)))
(-.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/27 binary64)) (fma.f64 (.f64 b #s(literal 1/3 binary64)) (.f64 b #s(literal 1/3 binary64)) (fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 (.f64 b #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 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)))) #s(literal 1/27 binary64)) (fma.f64 (.f64 b #s(literal 1/3 binary64)) (.f64 b #s(literal 1/3 binary64)) (fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 (.f64 b #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))))))
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(.f64 (fma.f64 (.f64 c (.f64 c c)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 8/27 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 c (.f64 b (.f64 b #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 8/27 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/9 binary64) (.f64 a a)) (/.f64 (-.f64 (.f64 (/.f64 c (.f64 b (.f64 b #s(literal -2 binary64)))) (.f64 c #s(literal -1/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 a #s(literal 3/2 binary64)))) (.f64 b b)))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 4/9 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) a))))
(.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 b b) (.f64 (neg.f64 a) (.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) (.f64 b b))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 b b) (.f64 a (.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b b))))
(.f64 (fma.f64 b b (.f64 (.f64 a #s(literal 3/2 binary64)) (.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 3/2 binary64)) (*.f64 b b))))
(.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (.f64 (.f64 b b) #s(literal -2/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (neg.f64 a))))
(.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) a (.f64 (.f64 b b) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) a)))
(.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 a #s(literal 3/2 binary64)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (*.f64 a #s(literal 3/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 8/27 binary64) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 c (.f64 b (.f64 b #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b))))))))
(.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 4/9 binary64) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) a)))))
(.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 c (.f64 b (.f64 b #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 b (.f64 b #s(literal -2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (neg.f64 b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 b (.f64 b #s(literal -2 binary64))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) b) b)
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b))) b)
(pow.f64 (.f64 b (.f64 b #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 b b)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (*.f64 b #s(literal -2 binary64))))))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 b b)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))
(exp.f64 (log.f64 (*.f64 b b)))
(-.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 b)))
(neg.f64 (*.f64 b (neg.f64 b)))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(/.f64 (*.f64 b (neg.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 b (neg.f64 b)))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(exp.f64 (.f64 (log.f64 (.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2/3 binary64) a))
(neg.f64 (/.f64 #s(literal -2/3 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a #s(literal 3/2 binary64))))
(/.f64 #s(literal -2/3 binary64) (neg.f64 a))
(/.f64 #s(literal 2/3 binary64) a)
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a #s(literal 3/2 binary64)))))
(pow.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2/3 binary64) a))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 a #s(literal 3/2 binary64)))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2/3 binary64))

simplify392.0ms (3.9%)

Memory

24.0MiB live, 655.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 172×	`lower-fma.f64`
10 172×	`lower-fma.f32`
8 494×	`lower-*.f64`
8 494×	`lower-*.f32`
3 700×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	6034
1	2408	6008
0	8153	5775

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

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

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

eval163.0ms (1.6%)

Memory: -14.7MiB live, 278.9MiB allocated
Compiler: Compiled 24 963 to 3 191 computations (87.2% saved)

prune176.0ms (1.8%)

Memory

12.0MiB live, 321.5MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	1 211	10	1 221
Fresh	4	32	36
Picked	3	2	5
Done	1	4	5
Total	1 219	48	1 267

Accuracy

99.9%

Counts

1 267 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	14.4%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (.f64 #s(literal 3 binary64) a))
	20.0%	(/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (.f64 #s(literal 3 binary64) a))
	28.3%	(/.f64 (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (.f64 c #s(literal -1/2 binary64))) b)
	24.3%	(/.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64))
	27.4%	(/.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) a) b) a)
	10.3%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
✓	2.4%	(/.f64 (/.f64 b #s(literal 3/2 binary64)) a)
	36.3%	(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
	36.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
	2.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3/2 binary64) b))
	30.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
	30.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
	27.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 3 binary64) a))
	27.9%	(/.f64 (.f64 (/.f64 a b) (.f64 c #s(literal -1/2 binary64))) a)
	24.3%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/3 binary64)) a)
	26.6%	(/.f64 (.f64 (.f64 a (.f64 c #s(literal -3/2 binary64))) #s(literal 1/3 binary64)) (.f64 b a))
	22.7%	(/.f64 (.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))) (*.f64 #s(literal 3 binary64) a))
	33.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.4%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
✓	36.2%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	10.4%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
	2.4%	(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
	36.3%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	24.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))))))
	2.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	49.4%	(.f64 (fma.f64 b #s(literal 1/3 binary64) (neg.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1 binary64) a))
	24.3%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
	10.4%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
	10.3%	(.f64 (/.f64 (.f64 a c) b) (/.f64 #s(literal 1/2 binary64) a))
	2.4%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	36.2%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	10.3%	(.f64 (/.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 a c) b))
	29.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) a))
	24.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c)))) #s(literal 1/3 binary64)))
✓	36.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
✓	50.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	29.4%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (.f64 a (*.f64 (/.f64 c b) #s(literal 3/2 binary64))))
✓	36.2%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
	30.9%	(.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
	10.4%	(.f64 (.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	36.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
	29.6%	(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (/.f64 a b) a))
	10.1%	(.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
	2.4%	(.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))))
	32.9%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
	26.6%	(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 a #s(literal 3 binary64)))))

Compiler

Compiled 1 508 to 686 computations (54.5% saved)

regimes127.0ms (1.3%)

Memory

-10.3MiB live, 162.8MiB allocated

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

27.0ms	a
26.0ms	(*.f64 #s(literal 3 binary64) a)
26.0ms	b
22.0ms	c
22.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
58.5%	4	`a`
85.8%	3	`b`
55.4%	3	`c`
71.9%	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))`
58.5%	4	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes22.0ms (0.2%)

Memory

-5.0MiB live, 32.8MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
85.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-23.1MiB live, 14.9MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.3%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

46 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	b
12.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
49.4%	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))`
66.9%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory

-26.7MiB live, 20.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
66.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.7%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.6%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

-30.6MiB live, 6.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.6%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
32.9%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
32.9%	1	`c`
32.9%	1	`a`
32.9%	1	`(*.f64 #s(literal 3 binary64) a)`
32.9%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch45.0ms (0.4%)

Memory

-10.6MiB live, 62.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.2830508253975864e-111	2.169728758232217e-106
17.0ms	-3.771504838297958e+85	-1.029293415451614e+84

Samples

19.0ms	217×	0	valid
6.0ms	33×	1	valid
3.0ms	46×	0	invalid
1.0ms	5×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 487 to 354 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (39.7% of total)

ival-div: 2.0ms (11.3% of total)

ival-sub: 2.0ms (11.3% of total)

ival-neg: 2.0ms (11.3% of total)

ival-sqrt: 2.0ms (11.3% of total)

ival-add: 2.0ms (11.3% of total)

adjust: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2830508253975864e-111	2.169728758232217e-106
10.0ms	-1.184925426867226e+77	-8.179716691141879e+75

Samples

7.0ms	96×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 443 to 318 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (45.3% of total)

ival-div: 1.0ms (22.6% of total)

ival-sqrt: 1.0ms (22.6% 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)

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

bsearch54.0ms (0.5%)

Memory

18.0MiB live, 63.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.8094671521572234e-126	1.2830508253975864e-111
20.0ms	-1.4287047365680171e-92	-8.271233527994476e-97

Samples

20.0ms	248×	0	valid
8.0ms	118×	0	invalid
4.0ms	32×	1	valid
1.0ms	7×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 513 to 384 computations (25.1% saved)

Precisions

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

ival-mult: 7.0ms (33.8% of total)

ival-div: 3.0ms (14.5% of total)

ival-sqrt: 3.0ms (14.5% of total)

ival-sub: 2.0ms (9.7% of total)

ival-neg: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

adjust: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Memory

-7.6MiB live, 64.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-1.3128408048227717e-300	1.1046595756568301e-304

Samples

11.0ms	160×	0	valid
9.0ms	100×	0	invalid

Compiler

Compiled 253 to 188 computations (25.7% saved)

Precisions

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

ival-mult: 6.0ms (45.6% of total)

ival-div: 2.0ms (15.2% of total)

ival-sqrt: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% of total)

ival-sub: 1.0ms (7.6% of total)

ival-neg: 1.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3128408048227717e-300	1.1046595756568301e-304

Compiler

Compiled 203 to 158 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3128408048227717e-300	1.1046595756568301e-304

Compiler

Compiled 203 to 158 computations (22.2% saved)

bsearch12.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.3128408048227717e-300	1.1046595756568301e-304

Samples

4.0ms	64×	0	valid
2.0ms	34×	0	invalid

Compiler

Compiled 203 to 158 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (46.8% of total)

ival-div: 1.0ms (23.4% of total)

ival-sqrt: 1.0ms (23.4% 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)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3128408048227717e-300	1.1046595756568301e-304

Compiler

Compiled 203 to 158 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3128408048227717e-300	1.1046595756568301e-304

Compiler

Compiled 203 to 158 computations (22.2% saved)

simplify11.0ms (0.1%)

Memory

-20.0MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	196
1	91	195
2	100	195
3	105	195
4	107	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (if (<=.f64 b #s(literal 7643459639137249/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (if (<=.f64 b #s(literal 7643459639137249/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3875095261576825/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 6210780114830625/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 b a) #s(literal -2/3 binary64)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))

Outputs
(if (<=.f64 b #s(literal -37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (if (<=.f64 b #s(literal 7643459639137249/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (if (<=.f64 b #s(literal 7643459639137249/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (if (<=.f64 b #s(literal 7643459639137249/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3875095261576825/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 6210780114830625/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3875095261576825/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 6210780114830625/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (.f64 #s(literal -3 binary64) c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 b (.f64 #s(literal -3/2 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 b (.f64 #s(literal -3/2 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 b a) #s(literal -2/3 binary64)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 #s(literal -2/3 binary64) (/.f64 b a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))

soundness1.1s (11%)

Memory

-13.5MiB live, 594.0MiB allocated

Rules

10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
10 172×	`lower-fma.f64`
10 172×	`lower-fma.f32`
8 494×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	6034
1	2408	6008
0	8153	5775
0	32	118
0	56	116
1	175	114
2	1085	113
0	9304	110
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44
0	32	165
0	57	166
1	189	161
2	1112	158
0	9675	158

Stop Event

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

Compiler

Compiled 483 to 278 computations (42.4% saved)

preprocess56.0ms (0.6%)

Memory: 26.4MiB live, 64.9MiB allocated
Compiler: Compiled 436 to 162 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze119.0ms (1.2%)

sample1.6s (16.2%)

preprocess153.0ms (1.5%)

explain206.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify94.0ms (0.9%)

localize54.0ms (0.5%)

series24.0ms (0.2%)

rewrite286.0ms (2.8%)

simplify618.0ms (6.2%)

eval91.0ms (0.9%)

prune160.0ms (1.6%)

simplify372.0ms (3.7%)

localize259.0ms (2.6%)

series57.0ms (0.6%)

rewrite409.0ms (4.1%)

simplify593.0ms (5.9%)

eval299.0ms (3%)

prune294.0ms (2.9%)

simplify154.0ms (1.5%)

localize155.0ms (1.5%)

series35.0ms (0.3%)

rewrite261.0ms (2.6%)

simplify411.0ms (4.1%)

eval182.0ms (1.8%)

prune183.0ms (1.8%)

simplify208.0ms (2.1%)

localize134.0ms (1.3%)

series24.0ms (0.2%)

rewrite273.0ms (2.7%)

simplify392.0ms (3.9%)

eval163.0ms (1.6%)

prune176.0ms (1.8%)

regimes127.0ms (1.3%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes27.0ms (0.3%)

regimes14.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

bsearch45.0ms (0.4%)

bsearch13.0ms (0.1%)

bsearch54.0ms (0.5%)

bsearch37.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.1s (11%)

preprocess56.0ms (0.6%)

end0.0ms (0%)

Profiling