Metrics for Cubic critical, medium range

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze202.0ms (1.6%)

Memory

6.4MiB live, 322.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
6.8%	0%	0%	100%	0%	0%	0%	7
15.9%	0%	0%	100%	0%	0%	0%	8
23.1%	0%	0%	100%	0%	0%	0%	9
36.5%	0%	0%	100%	0%	0%	0%	10
45.4%	0%	0%	100%	0%	0%	0%	11
52.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.8s (22.2%)

Memory

-228.1MiB live, 3 874.1MiB allocated

Samples

1.5s	5 272×	1	valid
484.0ms	2 984×	0	valid
180.0ms	1 151×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 571.0ms (31.6% of total)

const: 275.0ms (15.2% of total)

ival-<: 211.0ms (11.7% of total)

ival-sqrt: 182.0ms (10.1% of total)

adjust: 148.0ms (8.2% of total)

ival-div: 117.0ms (6.5% of total)

ival-add: 105.0ms (5.8% of total)

ival-neg: 77.0ms (4.3% of total)

ival-sub: 73.0ms (4% of total)

ival-and: 33.0ms (1.8% of total)

exact: 10.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain165.0ms (1.3%)

Memory

12.4MiB live, 337.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
243	1	(8.038111598807021e-16 0.015907489151937196 1654137913.3945322)	2	(48828.195537293584 714735.2386755645 77757.56207702667)	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`c`
0	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
0	0	-	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))`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	242	5

Confusion

	Predicted +	Predicted -
+	241	2
-	1	12

Precision

0.9958677685950413

Recall

0.9917695473251029

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	241	2	0
-	1	3	9

Precision?

0.9838056680161943

Recall?

1.0

Freqs

test

number	freq
0	14
1	242

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	320×	1	valid
16.0ms	192×	0	valid

Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions

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

ival-mult: 11.0ms (27.1% of total)

adjust: 6.0ms (14.8% of total)

ival-div: 6.0ms (14.8% of total)

ival-sqrt: 6.0ms (14.8% of total)

ival-add: 4.0ms (9.9% of total)

ival-sub: 4.0ms (9.9% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess138.0ms (1.1%)

Memory

-27.5MiB live, 125.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 20 to 12 computations (40% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.7%	(/.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)

simplify87.0ms (0.7%)

Memory

8.2MiB live, 87.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.4%)

Memory

-2.8MiB live, 73.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy	0.28125	(.f64 (.f64 #s(literal 3 binary64) a) c)
accuracy	0.3951950195368841	(/.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	42.98838271518904	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))

Samples

27.0ms	160×	1	valid
8.0ms	96×	0	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-mult: 6.0ms (27.1% of total)

ival-sub: 4.0ms (18.1% of total)

adjust: 3.0ms (13.6% of total)

ival-div: 3.0ms (13.6% of total)

ival-sqrt: 3.0ms (13.6% of total)

ival-add: 2.0ms (9% of total)

ival-neg: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

5 → 144

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 (.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 (* 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

36 calls:

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

simplify332.0ms (2.6%)

Memory

-11.9MiB live, 529.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 360×	`lower-fma.f64`
11 360×	`lower-fma.f32`
6 828×	`lower-*.f64`
6 828×	`lower-*.f32`
3 678×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	2458
1	1445	2441
2	4896	2418
0	8064	2302

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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)
(* 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
(* (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 a (.f64 a (.f64 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 a a) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b b)) (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (.f64 c #s(literal -3/2 binary64)) (/.f64 (.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 a a)) (*.f64 b b))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (.f64 b (fma.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 2 binary64))) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 a (.f64 a (.f64 a (.f64 c (.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 b))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) (/.f64 (.f64 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 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -27/16 binary64) 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)))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
(+ (* -1/3 (/ 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 (pow.f64 b #s(literal 4 binary64)) (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))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -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 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -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)))))
(-.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 (fma.f64 (/.f64 (.f64 b (.f64 b (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 1/6 binary64)) (.f64 b #s(literal 1/3 binary64))) 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 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1/6 binary64)) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64))) a)) a))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -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 a b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a (.f64 c (.f64 c c))))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/3 binary64) (/.f64 b (.f64 a c))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (.f64 a c)) (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a (.f64 c (.f64 c c))))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.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 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 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #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 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (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 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) 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)
(* 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)))

rewrite273.0ms (2.1%)

Memory

5.7MiB live, 334.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	71	44
2	525	43
3	6836	43
0	8125	40

Stop Event

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

Counts

5 → 410

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

eval127.0ms (1%)

Memory: 0.8MiB live, 150.1MiB allocated
Compiler: Compiled 20 413 to 1 864 computations (90.9% saved)

prune102.0ms (0.8%)

Memory

7.8MiB live, 202.6MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	529	25	554
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	530	25	555

Accuracy

99.5%

Counts

555 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 #s(literal 3 binary64) a))
	32.2%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	33.4%	(/.f64 (-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	32.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
▶	32.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	90.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.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)) (*.f64 #s(literal 3 binary64) a))
	80.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	95.5%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 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)))) (.f64 #s(literal 3 binary64) a))
	93.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -27/16 binary64) 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)))) (.f64 #s(literal 3 binary64) a))
	95.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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)))) (.f64 #s(literal 3 binary64) a))
	90.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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)))) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
	32.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	32.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
	94.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (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 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))))
▶	95.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))))
▶	90.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
▶	94.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	95.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.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 a b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
▶	80.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Compiler

Compiled 1 546 to 890 computations (42.4% saved)

simplify217.0ms (1.7%)

Memory

-40.2MiB live, 269.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))
cost-diff	0	(.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
cost-diff	320	(fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b)))))
cost-diff	640	(fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (*.f64 b b)))) b)
cost-diff	704	(.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b))
cost-diff	0	(/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b))
cost-diff	0	(/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
cost-diff	320	(fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 c b)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))))
cost-diff	320	(fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
cost-diff	320	(fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b))))
cost-diff	704	(/.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)

Rules

5 926×	`lower-fma.f32`
5 912×	`lower-fma.f64`
5 596×	`lower-*.f32`
5 560×	`lower-*.f64`
1 906×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	747
0	119	706
1	242	696
2	626	692
3	1858	679
4	3525	656
5	4857	656
0	8087	631

Stop Event

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

Calls

Call 1

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

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

localize298.0ms (2.3%)

Memory

22.3MiB live, 441.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.28125	(/.f64 c (pow.f64 b #s(literal 5 binary64)))
accuracy	0.28515625	(.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
accuracy	0.4264450195368841	(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
accuracy	3.5699362988534427	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
accuracy	0.26171875	(.f64 a (/.f64 c (.f64 b b)))
accuracy	0.3046875	(.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (*.f64 b b))))
accuracy	0.3951950195368841	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a))
accuracy	42.98838271518904	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b)))))
accuracy	0.11328125	(/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b)
accuracy	0.33431625976844204	(/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b))
accuracy	0.33984375	(.f64 (.f64 c c) #s(literal -3/8 binary64))
accuracy	5.816608931891869	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
accuracy	0	(/.f64 c b)
accuracy	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
accuracy	12.420567683221012	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
accuracy	0.36556625976844204	(/.f64 (.f64 (.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy	0.38671875	(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy	0.39681625976844204	(.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) a))
accuracy	2.5277779696607015	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))))

Samples

136.0ms	160×	1	valid
46.0ms	96×	0	valid

Compiler

Compiled 606 to 67 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 59.0ms (43.6% of total)

ival-div: 27.0ms (20% of total)

adjust: 13.0ms (9.6% of total)

ival-add: 13.0ms (9.6% of total)

ival-pow: 9.0ms (6.7% of total)

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

const: 4.0ms (3% of total)

ival-sqrt: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

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

series100.0ms (0.8%)

Memory

26.1MiB live, 173.1MiB allocated

Counts

27 → 864

Calls

Call 1

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

Outputs
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))>
#<alt (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))>
#<alt (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))>
#<alt (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))>
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))>
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))>
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))>
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))>
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))>
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))>
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))>
#<alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))>
#<alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))>
#<alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))>
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))>
#<alt (* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))>
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))>
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))>
#<alt (/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))>
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))>
#<alt (/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))>
#<alt (/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))>
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))>
#<alt (* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))>
#<alt (* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))>
#<alt (* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))>
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))>
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))>
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))>
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))>
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))>
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))>
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))>
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<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 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
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#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))>
#<alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))>
#<alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))>
#<alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))>
#<alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))>
#<alt (/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))>
#<alt (/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))>
#<alt (/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))>
#<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))))) b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))>
#<alt (/ -1/2 b)>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))>
#<alt (* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))>
#<alt (* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))>
#<alt (* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))>
#<alt (* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))>
#<alt (* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))>
#<alt (* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))>
#<alt (/ -1/2 b)>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))>
#<alt (* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))>
#<alt (* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))>
#<alt (* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))>
#<alt (* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))>
#<alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))>
#<alt (/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5))>
#<alt (/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))>
#<alt (/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))>
#<alt (/ -1/2 b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)>
#<alt (/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)>
#<alt (/ -1/2 b)>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (* 405/64 (/ (* a (pow c 4)) (pow b 6)))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (/ (pow c 4) (pow b 6))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 2))>
#<alt (* -3/8 (pow c 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) (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) (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) (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) (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) (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) (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) (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) (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) (pow b 2)))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (* -3/8 (/ a (pow b 3)))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>
#<alt (/ c (pow b 5))>

Calls

216 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b)
5.0ms	b	@	-inf	(+ (* a (+ (* (/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b) -1/6) (/ (* (* c (* c c)) -9/16) (pow b 5)))) (/ (* (* c c) -3/8) (* b (* b b))))
4.0ms	b	@	0	(/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b)
3.0ms	b	@	0	(* (/ (pow c 4) (pow b 6)) (* 405/64 a))
2.0ms	c	@	0	(/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b)

simplify324.0ms (2.5%)

Memory

-15.2MiB live, 507.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 794×	`lower-fma.f64`
10 794×	`lower-fma.f32`
8 492×	`lower-*.f64`
8 492×	`lower-*.f32`
3 008×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	14070
1	2471	13989
0	8098	13437

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 860

Calls

Call 1

Inputs
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* -3/8 (/ (pow c 2) (pow b 3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
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(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
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(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -1/2 (/ c b))
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(* -1/2 (/ c b))
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(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(/ c b)
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(/ c b)
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(/ c b)
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(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
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(+ (* -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)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
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(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
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(* -3/8 (/ (pow c 2) (pow b 2)))
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(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (/ (* a c) b))
(/ (+ (* -3 (* a c)) (pow b 2)) b)
(/ (+ (* -3 (* a c)) (pow b 2)) b)
(/ (+ (* -3 (* a c)) (pow b 2)) b)
b
(* b (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 3 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3 (/ (* a c) (pow b 2))) 1)))
b
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(* -3 (/ (* a c) b))
(* a (+ (* -3 (/ c b)) (/ b a)))
(* a (+ (* -3 (/ c b)) (/ b a)))
(* a (+ (* -3 (/ c b)) (/ b a)))
(* -3 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 (/ c b)))))
b
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(* -3 (/ (* a c) b))
(* c (+ (* -3 (/ a b)) (/ b c)))
(* c (+ (* -3 (/ a b)) (/ b c)))
(* c (+ (* -3 (/ a b)) (/ b c)))
(* -3 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 3 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3 (/ a b)))))
(* (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)))))))
(* -3/8 (/ a (pow b 3)))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* -3/8 (/ a (pow b 3)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5))
(* -3/8 (/ a (pow b 3)))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(* -3/8 (/ a (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 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))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -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)))))))
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(* -1/2 (/ c b))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -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))))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))
(/ -1/2 b)
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(* 405/64 (/ (* a (pow c 4)) (pow b 6)))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(* -3 (/ (* a c) (pow b 2)))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))
(/ c (pow b 5))

Outputs
(* 405/64 (/ (* a (pow c 4)) (pow b 7)))
(/.f64 (.f64 #s(literal 405/64 binary64) (.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
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(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(/ (* a c) (pow b 2))
(.f64 a (/.f64 c (.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(* -3/8 (/ a (pow b 3)))
(/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 5))
(/.f64 c (pow.f64 b #s(literal 5 binary64)))

rewrite272.0ms (2.1%)

Memory

42.1MiB live, 474.1MiB allocated

Rules

5 136×	`lower-*.f32`
5 100×	`lower-*.f64`
3 978×	`lower-fma.f32`
3 964×	`lower-fma.f64`
3 030×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	513
0	119	491
1	453	481
2	3739	473
0	8296	463

Stop Event

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

Counts

27 → 670

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) b)))
(/.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) b)
(/.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 b))
(/.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) b))
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (.f64 (neg.f64 (.f64 c (.f64 c (.f64 c c)))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) b))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 405/64 binary64) a)) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 c (.f64 c (*.f64 c c)))) b))
(/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b))
(/.f64 (.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)) b)
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) (/.f64 a b))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 (.f64 (neg.f64 (.f64 c (.f64 c (.f64 c c)))) (.f64 #s(literal 405/64 binary64) (/.f64 a b))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 405/64 binary64) (/.f64 a b))) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 c (.f64 c (.f64 c c)))))
(/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal -1 binary64)) b)
(pow.f64 (.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (*.f64 #s(literal 405/64 binary64) (/.f64 a b))))
(.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 #s(literal 405/64 binary64) (/.f64 a b)))
(.f64 (.f64 #s(literal 405/64 binary64) a) (.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b)))
(.f64 (.f64 #s(literal 405/64 binary64) a) (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) b))
(.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)))
(.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 405/64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 a b))
(.f64 (.f64 #s(literal 405/64 binary64) (/.f64 a b)) (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (pow.f64 (/.f64 b (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(+.f64 (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))) (.f64 a (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (*.f64 b b)))))))
(+.f64 (.f64 a (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (*.f64 b b))))
(+.f64 (.f64 a (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (.f64 (neg.f64 (.f64 c c)) (/.f64 #s(literal -3/8 binary64) (.f64 b (*.f64 b b)))))
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eval306.0ms (2.4%)

Memory: -14.0MiB live, 454.7MiB allocated
Compiler: Compiled 63 531 to 3 567 computations (94.4% saved)

prune297.0ms (2.3%)

Memory

-40.7MiB live, 394.2MiB allocated

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	1 597	32	1 629
Fresh	6	14	20
Picked	3	2	5
Done	0	0	0
Total	1 606	48	1 654

Accuracy

99.6%

Counts

1 654 → 48

Alt Table

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Status	Accuracy	Program
	33.3%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 #s(literal 3 binary64) a))
	32.2%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
	33.3%	(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))))) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	33.4%	(/.f64 (-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	33.3%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))))))
	32.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	32.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( b (* -3 (* a (/ c (* b b))))) b) (fma.f64 a (.f64 c (/.f64 #s(literal -3 binary64) b)) b)))))) (.f64 #s(literal 3 binary64) a))
	33.3%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))) (*.f64 #s(literal 3 binary64) a))
▶	33.3%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
▶	32.6%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
	32.7%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	90.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.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)) (*.f64 #s(literal 3 binary64) a))
	80.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	80.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
	95.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64) (.f64 (.f64 #s(literal -1/2 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 -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 (/.f64 c b) #s(literal -3/2 binary64))))) (.f64 #s(literal 3 binary64) a))
	90.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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)))) (*.f64 #s(literal 3 binary64) a))
	90.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) (.f64 (/.f64 c b) #s(literal -3/2 binary64))))) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
	32.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	32.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)))
	32.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	32.6%	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
▶	95.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
	95.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
	95.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 (/.f64 #s(literal -1/2 binary64) b) c)))
	92.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))))
	94.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* a (+ (* (/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b) -1/6) (/ (* (* c (* c c)) -9/16) (pow b 5)))) (/ (* (* c c) -3/8) (* b (* b b)))) (/.f64 (fma.f64 c (.f64 c #s(literal -3/8 binary64)) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (.f64 b b))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
✓	90.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 (.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) c) c)) b))
	90.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 c (.f64 b b))))))) b))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (fma.f64 a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))))))
	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
▶	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
	93.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 c #s(literal -9/16 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))) c (fma.f64 c (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))))
	95.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 c (fma.f64 (.f64 #s(literal -1/6 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (.f64 a b))) (.f64 #s(literal -9/16 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	94.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 a (.f64 a (/.f64 c (.f64 b b)))) (.f64 a #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
	93.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( c (+ (* (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b))))) (/ -1/2 b)) (/.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3/8 binary64) c) (.f64 b (.f64 b #s(literal -1/2 binary64)))) (.f64 (.f64 c (.f64 (.f64 a a) #s(literal -9/16 binary64))) c)) (pow.f64 b #s(literal 5 binary64))))))
✓	80.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
▶	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
	90.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))))))

Compiler

Compiled 2 907 to 1 580 computations (45.6% saved)

simplify295.0ms (2.3%)

Memory

40.2MiB live, 313.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a))
cost-diff	512	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
cost-diff	640	(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
cost-diff	704	(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
cost-diff	0	(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
cost-diff	640	(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
cost-diff	704	(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
cost-diff	0	(/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
cost-diff	0	#s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b))))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
cost-diff	320	(fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
cost-diff	320	(fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
cost-diff	2240	(fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))

Rules

9 422×	`lower-fma.f32`
9 412×	`lower-fma.f64`
6 848×	`lower-*.f32`
6 794×	`lower-*.f64`
1 866×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1047
0	131	961
1	270	890
2	828	858
3	4068	832
4	4970	779
5	6995	779
0	8200	738

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
a
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))))
(fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) b))
(.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))
(.f64 c (.f64 c (*.f64 c c)))
c
(.f64 c (.f64 c c))
(*.f64 c c)
(*.f64 #s(literal 405/64 binary64) a)
#s(literal 405/64 binary64)
(.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(*.f64 b b)
b
(.f64 b (.f64 b (*.f64 b b)))
(.f64 b (.f64 b b))
#s(literal -1/6 binary64)
(/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(.f64 c (.f64 c (*.f64 c #s(literal -9/16 binary64))))
(.f64 c (.f64 c #s(literal -9/16 binary64)))
(*.f64 c #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(.f64 (.f64 b b) (.f64 b (.f64 b b)))
(/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))
(.f64 c (.f64 c #s(literal -3/8 binary64)))
(*.f64 c #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
#s(literal -1/2 binary64)
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b))))
(/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
(fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c))))
c
(.f64 b (.f64 b #s(literal -1/2 binary64)))
b
(*.f64 b #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c)))
#s(literal -3/8 binary64)
(.f64 a (.f64 c c))
a
(*.f64 c c)
(.f64 b (.f64 b b))
(*.f64 b b)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))
(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
b
(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
(.f64 (.f64 b #s(literal -3 binary64)) a)
(*.f64 b #s(literal -3 binary64))
#s(literal -3 binary64)
a
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
#s(literal 1/3 binary64)
(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a))
(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
(*.f64 b b)
b
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))
(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
(.f64 (.f64 b #s(literal -3 binary64)) a)
(*.f64 b #s(literal -3 binary64))
#s(literal -3 binary64)
a
(/.f64 c (*.f64 b b))
c
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (.f64 (/.f64 c (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (fma.f64 c (.f64 c #s(literal -9/16 binary64)) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c c))) #s(literal -135/128 binary64)) (.f64 b b)))) (.f64 a a) (.f64 (/.f64 c b) (fma.f64 a (/.f64 (.f64 c #s(literal -3/8 binary64)) (*.f64 b b)) #s(literal -1/2 binary64)))))
(fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(fma.f64 (.f64 (/.f64 c (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (fma.f64 c (.f64 c #s(literal -9/16 binary64)) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c c))) #s(literal -135/128 binary64)) (.f64 b b)))) (.f64 a a) (.f64 (/.f64 c b) (fma.f64 a (/.f64 (.f64 c #s(literal -3/8 binary64)) (*.f64 b b)) #s(literal -1/2 binary64))))
a
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))))
(fma.f64 a (.f64 (/.f64 c (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (fma.f64 c (.f64 c #s(literal -9/16 binary64)) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c c))) #s(literal -135/128 binary64)) (.f64 b b)))) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (*.f64 b b))))
(fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))
(.f64 (/.f64 c (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (fma.f64 c (.f64 c #s(literal -9/16 binary64)) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c c))) #s(literal -135/128 binary64)) (*.f64 b b))))
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) b))
(/.f64 (.f64 c (.f64 c (.f64 #s(literal 405/64 binary64) (.f64 a (.f64 c c))))) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)))))
(.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))
(.f64 c (.f64 c (.f64 #s(literal 405/64 binary64) (.f64 a (*.f64 c c)))))
(.f64 c (.f64 c (*.f64 c c)))
c
(.f64 c (.f64 c c))
(*.f64 c c)
(*.f64 #s(literal 405/64 binary64) a)
(*.f64 a #s(literal 405/64 binary64))
#s(literal 405/64 binary64)
(.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)
(.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)))
(*.f64 b b)
b
(.f64 b (.f64 b (*.f64 b b)))
(.f64 b (.f64 b b))
#s(literal -1/6 binary64)
(/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(.f64 c (.f64 c (*.f64 c #s(literal -9/16 binary64))))
(.f64 (.f64 c (*.f64 c c)) #s(literal -9/16 binary64))
(.f64 c (.f64 c #s(literal -9/16 binary64)))
(*.f64 c #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(.f64 (.f64 b b) (.f64 b (.f64 b b)))
(/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))
(.f64 c (.f64 c #s(literal -3/8 binary64)))
(*.f64 c #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
#s(literal -1/2 binary64)
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (.f64 c (fma.f64 b (.f64 b #s(literal -1/2 binary64)) (.f64 a (.f64 c #s(literal -3/8 binary64))))) (.f64 b (.f64 b b)))))
#s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b))))
#s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (.f64 c (fma.f64 b (.f64 b #s(literal -1/2 binary64)) (.f64 a (.f64 c #s(literal -3/8 binary64))))) (.f64 b (.f64 b b))))
(/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
(/.f64 (.f64 c (fma.f64 b (.f64 b #s(literal -1/2 binary64)) (.f64 a (.f64 c #s(literal -3/8 binary64))))) (.f64 b (.f64 b b)))
(fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c))))
(.f64 c (fma.f64 b (.f64 b #s(literal -1/2 binary64)) (.f64 a (.f64 c #s(literal -3/8 binary64)))))
c
(.f64 b (.f64 b #s(literal -1/2 binary64)))
(.f64 (.f64 b b) #s(literal -1/2 binary64))
b
(*.f64 b #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c)))
(.f64 a (.f64 c (*.f64 c #s(literal -3/8 binary64))))
#s(literal -3/8 binary64)
(.f64 a (.f64 c c))
a
(*.f64 c c)
(.f64 b (.f64 b b))
(*.f64 b b)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))
(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
(fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))
b
(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
(fma.f64 (/.f64 c b) (*.f64 a #s(literal -3 binary64)) b)
(.f64 (.f64 b #s(literal -3 binary64)) a)
(.f64 b (.f64 a #s(literal -3 binary64)))
(*.f64 b #s(literal -3 binary64))
#s(literal -3 binary64)
a
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
#s(literal 1/3 binary64)
(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(approx (- ( b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))) (.f64 b b))) (.f64 a (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))))))
(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a))
(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1/3 binary64) a))
(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))))
(*.f64 b b)
b
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))
(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
(fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))
(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
(fma.f64 (/.f64 c b) (*.f64 a #s(literal -3 binary64)) b)
(.f64 (.f64 b #s(literal -3 binary64)) a)
(.f64 b (.f64 a #s(literal -3 binary64)))
(*.f64 b #s(literal -3 binary64))
#s(literal -3 binary64)
a
(/.f64 c (*.f64 b b))
c
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))))

localize513.0ms (4%)

Memory

-1.7MiB live, 623.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.21875	(.f64 (.f64 b #s(literal -3 binary64)) a)
accuracy	0.32421875	(/.f64 #s(literal 1/3 binary64) a)
accuracy	0.328125	(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a))
accuracy	42.502101726752244	(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
accuracy	0.21875	(.f64 (.f64 b #s(literal -3 binary64)) a)
accuracy	0.32421875	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
accuracy	0.43359375	(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64))
accuracy	42.98838271518904	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)
accuracy	0.2578125	(.f64 a (.f64 c c))
accuracy	0.29296875	(.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c)))
accuracy	0.3671875	(/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
accuracy	5.816608931891869	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b)
accuracy	0.3125	(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
accuracy	12.420567683221012	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
accuracy	0.36556625976844204	(/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (*.f64 b b))))
accuracy	0.36556625976844204	(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
accuracy	0.37013627930532605	(.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))
accuracy	2.5277779696607015	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))

Samples

182.0ms	152×	1	valid
57.0ms	104×	0	valid

Compiler

Compiled 750 to 76 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 79.0ms (47.6% of total)

ival-div: 29.0ms (17.5% of total)

ival-add: 19.0ms (11.4% of total)

adjust: 13.0ms (7.8% of total)

ival-sub: 13.0ms (7.8% of total)

const: 7.0ms (4.2% of total)

ival-sqrt: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series68.0ms (0.5%)

Memory

-9.7MiB live, 108.8MiB allocated

Counts

26 → 792

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))>
#<alt (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))>
#<alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))>
#<alt (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))))>
#<alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)>
#<alt (/.f64 #s(literal -1/2 binary64) b)>
#<alt (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c))))>
#<alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))>
#<alt #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b))))>
#<alt (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))>
#<alt (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))>
#<alt (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)>
#<alt (/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)>
#<alt (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64))>
#<alt (/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))>
#<alt (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a))>
#<alt (.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))>
#<alt (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))>
#<alt (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (*.f64 b b))))>
#<alt (.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c)))>
#<alt (.f64 a (.f64 c c))>
#<alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)>
#<alt (.f64 (.f64 b #s(literal -3 binary64)) a)>
#<alt (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))>
#<alt (/.f64 #s(literal 1/3 binary64) a)>

Outputs
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))>
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))>
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))>
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))>
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))>
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))>
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))>
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))>
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))>
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))>
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))>
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))>
#<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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))))>
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))>
#<alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))>
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))>
#<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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))>
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))>
#<alt (* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))>
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))>
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))>
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))>
#<alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))>
#<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 (/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))>
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#<alt (* -3 (* a b))>
#<alt (* -3 (* a b))>
#<alt (* -3 (* a b))>
#<alt (* -3 (* a b))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 3 (* a c))>
#<alt (* 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 (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>

Calls

198 calls:

Time	Variable		Point	Expression
16.0ms	b	@	-inf	(/ (* (- (* b b) (- (* b b) (* (* 3 a) c))) (/ 1/3 a)) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))
2.0ms	c	@	inf	(* -3/8 (* a (* c c)))
2.0ms	a	@	-inf	(/ (* (- (* b b) (- (* b b) (* (* 3 a) c))) (/ 1/3 a)) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))
2.0ms	a	@	inf	(/ (* (- (* b b) (- (* b b) (* (* 3 a) c))) (/ 1/3 a)) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))
1.0ms	b	@	0	(+ (* a (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b))))) (* -1/2 (/ c b)))

simplify320.0ms (2.5%)

Memory

6.9MiB live, 481.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 540×	`lower-fma.f64`
8 540×	`lower-fma.f32`
6 880×	`lower-*.f64`
6 880×	`lower-*.f32`
5 736×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1121	13474
1	3655	13243
0	8126	12689

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 752

Calls

Call 1

Inputs
(* -9/16 (/ (pow c 3) (pow b 5)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* -9/16 (/ (pow c 3) (pow b 5)))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -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)
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (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 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
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(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -1/2 (* (pow b 2) c))
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))
(* -3/8 (* a (pow c 2)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* -3/8 (* a (pow c 2)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* -3/8 (* a (pow c 2)))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(* -1/2 (* (pow b 2) c))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 (* (pow b 2) c))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 (* (pow b 2) c))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(* -3/8 (* a (pow c 2)))
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))))
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))))
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))))
(* -3/8 (* a (pow c 2)))
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a)))))
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a)))))
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) 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)))))))
(* -1/2 (/ c b))
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(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1/2 (/ c b))
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(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (/ (* a c) b))
(/ (+ (* -3 (* a c)) (pow b 2)) b)
(/ (+ (* -3 (* a c)) (pow b 2)) b)
(/ (+ (* -3 (* a c)) (pow b 2)) b)
b
(* b (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 3 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3 (/ (* a c) (pow b 2))) 1)))
b
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(* -3 (/ (* a c) b))
(* a (+ (* -3 (/ c b)) (/ b a)))
(* a (+ (* -3 (/ c b)) (/ b a)))
(* a (+ (* -3 (/ c b)) (/ b a)))
(* -3 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 (/ c b)))))
b
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(+ b (* -3 (/ (* a c) b)))
(* -3 (/ (* a c) b))
(* c (+ (* -3 (/ a b)) (/ b c)))
(* c (+ (* -3 (/ a b)) (/ b c)))
(* c (+ (* -3 (/ a b)) (/ b c)))
(* -3 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 3 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3 (/ a b)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* -2/3 b)
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(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
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(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1/2 (/ (* a c) b))
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(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
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(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
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(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
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(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
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(* 405/64 (* a (pow c 4)))
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(* 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 b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* -3 (* a b))
(* 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))
(* 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))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)

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

rewrite370.0ms (2.9%)

Memory

54.2MiB live, 589.7MiB allocated

Rules

4 918×	`lower-*.f32`
4 864×	`lower-*.f64`
3 728×	`lower-/.f32`
3 708×	`lower-/.f64`
3 174×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	699
0	131	617
1	482	554
2	3956	546
0	8465	535

Stop Event

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

Counts

26 → 679

Calls

Call 1

Inputs
(fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))))
(fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(/.f64 #s(literal -1/2 binary64) b)
(fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b))))
(/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a))
(.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(.f64 #s(literal -3/8 binary64) (.f64 a (*.f64 c c)))
(.f64 a (.f64 c c))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)
(.f64 (.f64 b #s(literal -3 binary64)) a)
(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))
(/.f64 #s(literal 1/3 binary64) a)

Outputs
(+.f64 (/.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b))))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 b (.f64 b (.f64 b (*.f64 b b))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (neg.f64 c) (/.f64 (.f64 (.f64 c c) #s(literal -9/16 binary64)) (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (.f64 (neg.f64 (/.f64 c (.f64 b b))) (/.f64 (.f64 (.f64 c c) #s(literal -9/16 binary64)) (.f64 b (.f64 b b)))))
(-.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 b (.f64 b (.f64 b (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (-.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b b))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (/.f64 (-.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b b))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b b)) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (/.f64 (.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b b)) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 c (.f64 (*.f64 c c) #s(literal -9/16 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b b)))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b b)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 #s(literal 405/64 binary64) a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 #s(literal 405/64 binary64) a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) #s(literal 1/36 binary64) (+.f64 (/.f64 (.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (.f64 b b))))))))) (/.f64 (/.f64 (.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 #s(literal 405/64 binary64) a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 #s(literal 405/64 binary64) a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) #s(literal 1/36 binary64) (+.f64 (/.f64 (.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b (*.f64 b b))))))))))
(fma.f64 c (/.f64 (.f64 (.f64 c c) #s(literal -9/16 binary64)) (.f64 b (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))))
(fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 (.f64 c c) #s(literal -9/16 binary64)) (.f64 b (.f64 b b)))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))))
(fma.f64 (.f64 c c) (.f64 (.f64 c #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b))))))))
(fma.f64 (.f64 c c) (/.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 b (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))))
(fma.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (/.f64 (.f64 #s(literal 405/64 binary64) a) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 b (.f64 b (.f64 b (.f64 b b))))))
(fma.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (/.f64 (.f64 #s(literal 405/64 binary64) a) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) #s(literal -1/6 binary64)) (.f64 (neg.f64 c) (/.f64 (.f64 (.f64 c c) #s(literal -9/16 binary64)) (.f64 b (.f64 b (.f64 b (.f64 b b)))))))
(fma.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (/.f64 (.f64 #s(literal 405/64 binary64) a) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) #s(literal -1/6 binary64)) (.f64 (neg.f64 (/.f64 c (.f64 b b))) (/.f64 (.f64 (.f64 c c) #s(literal -9/16 binary64)) (.f64 b (*.f64 b b)))))
(fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 #s(literal 405/64 binary64) a))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (.f64 c (.f64 (.f64 c c) #s(literal -9/16 binary64))) (.f64 b (.f64 b (.f64 b (*.f64 b b))))))
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(pow.f64 (/.f64 (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) (.f64 (fma.f64 b b #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))))) #s(literal -1 binary64))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))))))
(.f64 (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))) (.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))) (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (.f64 (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))))))
(exp.f64 (.f64 (log.f64 (.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) a))
(/.f64 #s(literal 1/3 binary64) a)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64)))
(pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64))

eval331.0ms (2.6%)

Memory: -17.5MiB live, 625.8MiB allocated
Compiler: Compiled 78 297 to 3 799 computations (95.1% saved)

prune240.0ms (1.9%)

Memory

15.4MiB live, 570.0MiB allocated

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	1 718	17	1 735
Fresh	17	24	41
Picked	3	2	5
Done	0	2	2
Total	1 738	45	1 783

Accuracy

99.9%

Counts

1 783 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.2%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
	32.7%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
▶	32.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	32.2%	(/.f64 (+.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
	32.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( b (* -3 (* a (/ c (* b b))))) b) (fma.f64 a (.f64 c (/.f64 #s(literal -3 binary64) b)) b)))))) (.f64 #s(literal 3 binary64) a))
	33.3%	(/.f64 (.f64 (/.f64 (-.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))) (.f64 b b)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))))) #s(literal 1/3 binary64)) a)
	32.6%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( (* (* b -3) a) (/ c (* b b))) b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) b) b))))) b) #s(literal 1/3 binary64)) a)
	32.7%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 (.f64 c a) #s(literal -3 binary64) (.f64 b b))))) b) #s(literal 1/3 binary64)) a)
▶	32.7%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
▶	99.1%	(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
	80.1%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
	90.3%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 a (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -9/8 binary64) (.f64 (/.f64 c b) #s(literal -3/2 binary64))))) #s(literal 1/3 binary64)) a)
	90.3%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.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)) (*.f64 #s(literal 3 binary64) a))
	80.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	80.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
	90.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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)))) (*.f64 #s(literal 3 binary64) a))
	80.3%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b)) a)
	32.7%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
	32.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	32.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)))
	32.7%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
▶	32.6%	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
✓	95.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
	94.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) a) (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 c c))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
✓	90.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 (.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) c) c)) b))
	90.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 c (.f64 b b))))))) b))
▶	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
✓	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
	94.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 a (.f64 a (/.f64 c (.f64 b b)))) (.f64 a #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
✓	80.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
	90.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 (.f64 (.f64 c b) b) #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (.f64 b (*.f64 b b)))))
	90.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 (.f64 c c) (fma.f64 a #s(literal -3/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) c))))) (.f64 b (.f64 b b)))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 c (fma.f64 (.f64 c a) #s(literal -3/8 binary64) (.f64 (.f64 b b) #s(literal -1/2 binary64))))) (.f64 b (.f64 b b)))))
	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)))) (.f64 b (*.f64 b b)))))
	90.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (fma.f64 c (.f64 (.f64 b b) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
	90.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))))))
	95.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* a (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b))))) (* -1/2 (/ c b))) (/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 #s(literal -135/128 binary64) (.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 a (.f64 a a))))) (pow.f64 b #s(literal 7 binary64)))))
	95.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* a (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b))))) (* -1/2 (/ c b))) (.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -135/128 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))

Compiler

Compiled 2 102 to 1 208 computations (42.5% saved)

simplify130.0ms (1%)

Memory

10.2MiB live, 244.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
cost-diff	640	(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
cost-diff	704	(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
cost-diff	320	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a))
cost-diff	384	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
cost-diff	0	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
cost-diff	0	(/.f64 b c)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
cost-diff	0	(.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a))
cost-diff	384	(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
cost-diff	640	(fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (*.f64 b b)) b)
cost-diff	704	(.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))

Rules

4 546×	`lower-fma.f32`
4 542×	`lower-fma.f64`
3 624×	`lower-*.f32`
3 600×	`lower-*.f64`
1 678×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	590
0	85	592
1	162	543
2	368	533
3	1147	472
4	5059	472
0	8433	470

Stop Event

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

Calls

Call 1

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

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

localize694.0ms (5.4%)

Memory

-28.5MiB live, 386.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.21875	(.f64 (.f64 b #s(literal -3 binary64)) a)
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
accuracy	0.34603500976844204	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
accuracy	42.98838271518904	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)
accuracy	0.1171875	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
accuracy	0.28125	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
accuracy	0.3366012695368841	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a))
accuracy	42.98838271518904	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
accuracy	0.06640625	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
accuracy	0.1171875	(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
accuracy	0.3951950195368841	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
accuracy	42.98838271518904	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b)
accuracy	0	(/.f64 b c)
accuracy	0.265625	(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy	12.420567683221012	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy	0.21875	(.f64 (.f64 b #s(literal -3 binary64)) a)
accuracy	0.265625	(.f64 #s(literal 3 binary64) (.f64 c a))
accuracy	0.32421875	(/.f64 #s(literal 1/3 binary64) a)
accuracy	0.328125	(.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a))

Samples

167.0ms	151×	1	valid
36.0ms	105×	0	valid

Compiler

Compiled 446 to 48 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 32.0ms (26.1% of total)

adjust: 24.0ms (19.6% of total)

ival-div: 20.0ms (16.3% of total)

ival-neg: 20.0ms (16.3% of total)

ival-sub: 11.0ms (9% of total)

ival-sqrt: 6.0ms (4.9% of total)

ival-add: 5.0ms (4.1% of total)

const: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series64.0ms (0.5%)

Memory

7.1MiB live, 45.3MiB allocated

Counts

21 → 660

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
33.0ms	c	@	-inf	(/ (* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/ 1 a)) -3)
1.0ms	a	@	-inf	(sqrt (+ (* a (* -3 c)) (* b b)))
1.0ms	a	@	inf	(sqrt (+ (* a (* -3 c)) (* b b)))
0.0ms	c	@	-inf	(sqrt (+ (* a (* -3 c)) (* b b)))
0.0ms	a	@	inf	(/ (* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/ 1 a)) -3)

simplify483.0ms (3.8%)

Memory

-19.0MiB live, 456.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 334×	`lower-fma.f64`
8 334×	`lower-fma.f32`
6 540×	`lower-*.f64`
6 540×	`lower-*.f32`
5 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1061	12904
1	3500	12648
0	8069	12115

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 617

Calls

Call 1

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

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

rewrite744.0ms (5.8%)

Memory

-111.0MiB live, 440.8MiB allocated

Rules

5 046×	`lower-/.f32`
5 028×	`lower-/.f64`
4 518×	`lower-*.f32`
4 494×	`lower-*.f64`
3 324×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	325
0	85	322
1	322	298
2	2545	298
0	8570	296

Stop Event

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

Counts

21 → 962

Calls

Call 1

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

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

eval533.0ms (4.2%)

Memory: 37.4MiB live, 525.0MiB allocated
Compiler: Compiled 68 292 to 5 418 computations (92.1% saved)

prune374.0ms (2.9%)

Memory

27.1MiB live, 747.7MiB allocated

Pruning

55 alts after pruning (49 fresh and 6 done)

	Pruned	Kept	Total
New	1 959	30	1 989
Fresh	17	19	36
Picked	2	3	5
Done	1	3	4
Total	1 979	55	2 034

Accuracy

100.0%

Counts

2 034 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
	34.5%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
	99.2%	(/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
	99.2%	(/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (.f64 #s(literal 3 binary64) a))
	99.2%	(/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
	32.3%	(/.f64 (/.f64 (-.f64 (.f64 b a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
	32.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
	32.1%	(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a)) #s(literal -3 binary64))
	32.8%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
✓	32.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 3 binary64))))) b) (.f64 #s(literal 3 binary64) a))
	22.8%	(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) (.f64 #s(literal 3 binary64) a))
	32.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( b (* -3 (* a (/ c (* b b))))) b) (fma.f64 a (.f64 c (/.f64 #s(literal -3 binary64) b)) b)))))) (.f64 #s(literal 3 binary64) a))
	99.1%	(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) a)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)))
	99.2%	(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))
	99.1%	(/.f64 (.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	99.2%	(/.f64 (.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) #s(literal 1 binary64))) #s(literal -3 binary64))
	32.6%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( (* (* b -3) a) (/ c (* b b))) b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) b) b))))) b) #s(literal 1/3 binary64)) a)
✓	32.7%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	99.1%	(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 c (.f64 a #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (/.f64 c (.f64 b b)) b) (.f64 #s(literal -3 binary64) a) b))))) a))
	99.1%	(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))))
	80.1%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
	80.3%	(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
	80.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	80.3%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b)) a)
	80.3%	(/.f64 #s(approx (* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/ 1 a)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64))
	32.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b)))
	32.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
	99.1%	(.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) a))
	32.7%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	32.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #s(literal 1/3 binary64)))
	32.7%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b))
	32.7%	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
	80.2%	(.f64 #s(approx (neg (- (sqrt (- ( b b) (* (* 3 a) c))) b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
	90.5%	#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
✓	90.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
	90.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 (.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) c) c)) b))
	90.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 c (.f64 b b))))))) b))
✓	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
	80.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
✓	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
	94.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 a (.f64 a (/.f64 c (.f64 b b)))) (.f64 a #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
✓	80.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
	90.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 (.f64 (.f64 c b) b) #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (.f64 b (*.f64 b b)))))
	90.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 (.f64 c c) (fma.f64 a #s(literal -3/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) c))))) (.f64 b (.f64 b b)))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 c (fma.f64 (.f64 c a) #s(literal -3/8 binary64) (.f64 (.f64 b b) #s(literal -1/2 binary64))))) (.f64 b (.f64 b b)))))
	80.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)))) (.f64 b (*.f64 b b)))))
	90.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (fma.f64 c (.f64 (.f64 b b) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))))
	90.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
	90.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))))))

Compiler

Compiled 3 786 to 1 216 computations (67.9% saved)

regimes258.0ms (2%)

Memory

-35.8MiB live, 249.7MiB allocated

Counts

105 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/ 1 a)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)))) (.f64 b (*.f64 b b)))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) (.f64 #s(literal 3 binary64) a))
(.f64 #s(approx (neg (- (sqrt (- ( b b) (* (* 3 a) c))) b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 (.f64 c a) #s(literal -3 binary64) (.f64 b b))))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 c (fma.f64 (.f64 c a) #s(literal -3/8 binary64) (.f64 (.f64 b b) #s(literal -1/2 binary64))))) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 3 binary64))))) b) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 #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 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 (.f64 (.f64 c b) b) #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (.f64 b (*.f64 b b)))))
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 (.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) c) c)) b))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b)))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( (* (* b -3) a) (/ c (* b b))) b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) b) b))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (fma.f64 c (.f64 (.f64 b b) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 (.f64 c c) (fma.f64 a #s(literal -3/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) c))))) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( b (* -3 (* a (/ c (* b b))))) b) (fma.f64 a (.f64 c (/.f64 #s(literal -3 binary64) b)) b)))))) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (fma.f64 a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 c (.f64 b b))))))) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a)) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (/.f64 (-.f64 (.f64 b a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))
(/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 b (.f64 #s(literal -3 binary64) (.f64 a (/.f64 c (.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (.f64 #s(literal 3 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) a)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)))
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (+.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) (.f64 (/.f64 c b) #s(literal -3/2 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.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)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 a (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -9/8 binary64) (.f64 (/.f64 c b) #s(literal -3/2 binary64))))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) a))
(/.f64 (.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 a (.f64 a (/.f64 c (.f64 b b)))) (.f64 a #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 c (.f64 a #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (/.f64 c (.f64 b b)) b) (.f64 #s(literal -3 binary64) a) b))))) a))
(/.f64 (.f64 #s(approx (- ( b b) (- (* b b) (* (* 3 a) c))) (.f64 #s(literal 3 binary64) (.f64 c a))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
(/.f64 (.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) #s(literal 1 binary64))) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* a (+ (* (/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b) -1/6) (/ (* (* c (* c c)) -9/16) (pow b 5)))) (/ (* (* c c) -3/8) (* b (* b b)))) (/.f64 (fma.f64 c (.f64 c #s(literal -3/8 binary64)) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (.f64 b b))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) a) (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 c c))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 c #s(literal -9/16 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b b)))) c (fma.f64 c (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))))))
(/.f64 (-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 (/.f64 (-.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b))) (.f64 b b)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 b #s(literal -3 binary64)) (.f64 a (/.f64 c (.f64 b b))) b)))))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))
(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b))))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c #s(approx (+ ( c (+ (* (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b))))) (/ -1/2 b)) (/.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3/8 binary64) c) (.f64 b (.f64 b #s(literal -1/2 binary64)))) (.f64 (.f64 c (.f64 (.f64 a a) #s(literal -9/16 binary64))) c)) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 #s(literal 405/64 binary64) a)) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) b)) #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (.f64 (.f64 b b) (.f64 b (.f64 b b))))) a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (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 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -27/16 binary64) 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)))) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* a (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b))))) (* -1/2 (/ c b))) (.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -135/128 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* a (+ (* (+ (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6) (/ (* c (* c (* c -9/16))) (* (* b b) (* b (* b b))))) a) (/ (* c (* c -3/8)) (* b (* b b))))) (* -1/2 (/ c b))) (/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 #s(literal -135/128 binary64) (.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 a (.f64 a a))))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.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 a b)) (/.f64 (.f64 (.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 c (fma.f64 (.f64 #s(literal -1/6 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (.f64 a b))) (.f64 #s(literal -9/16 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 (/.f64 #s(literal -1/2 binary64) b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.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)))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64) (.f64 (.f64 #s(literal -1/2 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 -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 (/.f64 c b) #s(literal -3/2 binary64))))) (.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 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 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 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)))) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.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) #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))))

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

Calls

5 calls:

49.0ms	(/.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))
32.0ms	b
32.0ms	a
31.0ms	c
28.0ms	(*.f64 #s(literal 3 binary64) a)

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`c`
99.2%	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))`
99.2%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes91.0ms (0.7%)

Memory

3.0MiB live, 161.4MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/ 1 a)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)))) (.f64 b (*.f64 b b)))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) (.f64 #s(literal 3 binary64) a))
(.f64 #s(approx (neg (- (sqrt (- ( b b) (* (* 3 a) c))) b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 (.f64 c a) #s(literal -3 binary64) (.f64 b b))))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 c (fma.f64 (.f64 c a) #s(literal -3/8 binary64) (.f64 (.f64 b b) #s(literal -1/2 binary64))))) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 3 binary64))))) b) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 #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 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 (.f64 (.f64 c b) b) #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (.f64 b (*.f64 b b)))))
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 (.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) c) c)) b))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b)))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( (* (* b -3) a) (/ c (* b b))) b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) b) b))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (fma.f64 c (.f64 (.f64 b b) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 (.f64 c c) (fma.f64 a #s(literal -3/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) c))))) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( b (* -3 (* a (/ c (* b b))))) b) (fma.f64 a (.f64 c (/.f64 #s(literal -3 binary64) b)) b)))))) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (fma.f64 a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 c (.f64 b b))))))) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a)) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (/.f64 (-.f64 (.f64 b a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))

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

Calls

5 calls:

23.0ms	(/.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))
17.0ms	b
17.0ms	a
16.0ms	(*.f64 #s(literal 3 binary64) a)
16.0ms	c

Results

Accuracy	Segments	Branch
99.2%	1	`b`
99.2%	1	`c`
99.2%	1	`a`
99.2%	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))`
99.2%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes89.0ms (0.7%)

Memory

34.6MiB live, 152.2MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/ 1 a)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64))
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)))) (.f64 b (*.f64 b b)))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (/.f64 (.f64 a c) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) (.f64 #s(literal 3 binary64) a))
(.f64 #s(approx (neg (- (sqrt (- ( b b) (* (* 3 a) c))) b)) (.f64 (.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 (.f64 c a) #s(literal -3 binary64) (.f64 b b))))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 c (fma.f64 (.f64 c a) #s(literal -3/8 binary64) (.f64 (.f64 b b) #s(literal -1/2 binary64))))) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 3 binary64))))) b) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c #s(approx (+ ( (* a a) (* (/ c (pow b 5)) -9/16)) (/ (* a -3/8) (* b (* b b)))) (/.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (sqrt (+ (* a (* -3 c)) (* b b))) b) (* 3 a)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 #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 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 c (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 (.f64 (.f64 c b) b) #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (.f64 b (*.f64 b b)))))
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) #s(approx (* b (+ (* (* (* b -3) a) (/ c (* b b))) b)) (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (.f64 a (.f64 c c)) #s(literal -3/8 binary64)) (.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 (.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) c) c)) b))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))) b)))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( (* (* b -3) a) (/ c (* b b))) b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) b) b))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 (fma.f64 c (.f64 (.f64 b b) #s(literal -1/2 binary64)) (.f64 a (.f64 (.f64 c c) #s(literal -3/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 #s(approx (+ (* c (* b (* b -1/2))) (* -3/8 (* a (* c c)))) (.f64 (.f64 c c) (fma.f64 a #s(literal -3/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) c))))) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 b #s(approx (+ ( b (* -3 (* a (/ c (* b b))))) b) (fma.f64 a (.f64 c (/.f64 #s(literal -3 binary64) b)) b)))))) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (fma.f64 a (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 c (.f64 b b))))))) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) a)) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 b (fma.f64 (.f64 (.f64 b #s(literal -3 binary64)) a) (/.f64 c (.f64 b b)) b)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (/.f64 (-.f64 (.f64 b a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))

Outputs

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

Calls

5 calls:

22.0ms	a
18.0ms	b
16.0ms	(/.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))
16.0ms	(*.f64 #s(literal 3 binary64) a)
16.0ms	c

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`c`
99.2%	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))`
99.2%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes80.0ms (0.6%)

Memory

-12.5MiB live, 108.4MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	c
16.0ms	b
15.0ms	(*.f64 #s(literal 3 binary64) a)
15.0ms	a
14.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
90.8%	1	`a`
90.8%	1	`c`
90.8%	1	`(*.f64 #s(literal 3 binary64) a)`
90.8%	1	`b`
90.8%	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))`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes50.0ms (0.4%)

Memory

-8.2MiB live, 104.3MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	b
11.0ms	(*.f64 #s(literal 3 binary64) a)
8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
8.0ms	a
8.0ms	c

Results

Accuracy	Segments	Branch
90.7%	1	`c`
90.7%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
90.7%	1	`b`
90.7%	1	`a`
90.7%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes39.0ms (0.3%)

Memory

-27.6MiB live, 30.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	c
5.0ms	(*.f64 #s(literal 3 binary64) a)
5.0ms	(/.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))
5.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
90.5%	1	`c`
90.5%	1	`b`
90.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
90.5%	1	`a`
90.5%	1	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes24.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Accuracy

Total -37.0b remaining (-297.6%)

Threshold costs -37b (-297.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 #s(literal 3 binary64) a)
5.0ms	(/.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))
5.0ms	c
5.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
80.6%	1	`a`
80.6%	1	`b`
80.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
80.6%	1	`(*.f64 #s(literal 3 binary64) a)`
80.6%	1	`c`

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify23.0ms (0.2%)

Memory

-29.4MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
22×	`+-commutative_binary64`
20×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	204
1	79	204
2	85	204
3	95	204
4	109	204
5	124	204
6	135	204
7	143	204
8	146	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))
(/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Outputs
(/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))) #s(literal -3 binary64))
(/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))))
(/.f64 (fma.f64 a (.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (.f64 c (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (/.f64 (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

soundness781.0ms (6.1%)

Memory

7.2MiB live, 691.8MiB allocated

Rules

11 360×	`lower-fma.f64`
11 360×	`lower-fma.f32`
10 794×	`lower-fma.f64`
10 794×	`lower-fma.f32`
8 492×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	14070
1	2471	13989
0	8098	13437
0	470	2458
1	1445	2441
2	4896	2418
0	8064	2302
0	51	325
0	85	322
1	322	298
2	2545	298
0	8570	296
0	12	46
0	20	46
1	71	44
2	525	43
3	6836	43
0	8125	40

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

Compiler

Compiled 215 to 93 computations (56.7% saved)

preprocess52.0ms (0.4%)

Memory: 32.0MiB live, 146.4MiB allocated
Compiler: Compiled 288 to 108 computations (62.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze202.0ms (1.6%)

sample2.8s (22.2%)

explain165.0ms (1.3%)

preprocess138.0ms (1.1%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify87.0ms (0.7%)

localize49.0ms (0.4%)

series18.0ms (0.1%)

simplify332.0ms (2.6%)

rewrite273.0ms (2.1%)

eval127.0ms (1%)

prune102.0ms (0.8%)

simplify217.0ms (1.7%)

localize298.0ms (2.3%)

series100.0ms (0.8%)

simplify324.0ms (2.5%)

rewrite272.0ms (2.1%)

eval306.0ms (2.4%)

prune297.0ms (2.3%)

simplify295.0ms (2.3%)

localize513.0ms (4%)

series68.0ms (0.5%)

simplify320.0ms (2.5%)

rewrite370.0ms (2.9%)

eval331.0ms (2.6%)

prune240.0ms (1.9%)

simplify130.0ms (1%)

localize694.0ms (5.4%)

series64.0ms (0.5%)

simplify483.0ms (3.8%)

rewrite744.0ms (5.8%)

eval533.0ms (4.2%)

prune374.0ms (2.9%)

regimes258.0ms (2%)

regimes91.0ms (0.7%)

regimes89.0ms (0.7%)

regimes80.0ms (0.6%)

regimes50.0ms (0.4%)

regimes39.0ms (0.3%)

regimes24.0ms (0.2%)

simplify23.0ms (0.2%)

soundness781.0ms (6.1%)

preprocess52.0ms (0.4%)

end0.0ms (0%)

Profiling