Metrics for Cubic critical

analyze127.0ms (1.2%)

Memory

18.8MiB live, 171.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (14.5%)

Memory

-258.3MiB live, 2 157.7MiB allocated

Samples

603.0ms	5 565×	0	valid
238.0ms	1 185×	2	valid
186.0ms	1 348×	1	valid
66.0ms	935×	0	invalid
36.0ms	158×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 851.0ms

ival-mult: 235.0ms (27.6% of total)

ival-sqrt: 234.0ms (27.5% of total)

ival-div: 112.0ms (13.2% of total)

adjust: 76.0ms (8.9% of total)

ival-sub: 68.0ms (8% of total)

ival-add: 68.0ms (8% of total)

ival-neg: 43.0ms (5.1% of total)

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

exact: 6.0ms (0.7% of total)

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

Bogosity

preprocess143.0ms (1.3%)

Memory

9.8MiB live, 124.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain310.0ms (2.9%)

Memory

6.4MiB live, 286.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
102	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
76	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
12	-	1	(3.2061957412567306e-150 1.1634479351810923e+285 -3.5454804456735505e+122)	`(/.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))`
6	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`c`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	98	0
↳	`(*.f64 b b)`	overflow	89
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	17
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	98
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	76	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`	u/n	11	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	29
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4
↳	`(*.f64 b b)`	underflow	40
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	23
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	6	0
↳	`(*.f64 b b)`	overflow	89
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	17
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	40
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	29
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	4

Confusion

	Predicted +	Predicted -
+	138	0
-	13	105

Precision

0.9139072847682119

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	0
-	13	0	105

Precision?

0.9139072847682119

Recall?

1.0

Freqs

test

number	freq
0	105
1	110
2	38
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

117.0ms	318×	0	valid
31.0ms	16×	3	valid
16.0ms	104×	1	valid
16.0ms	74×	2	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-div: 45.0ms (42.4% of total)

ival-mult: 38.0ms (35.8% of total)

ival-sqrt: 6.0ms (5.7% of total)

adjust: 5.0ms (4.7% of total)

ival-sub: 4.0ms (3.8% of total)

ival-add: 4.0ms (3.8% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify94.0ms (0.9%)

Memory

-27.8MiB live, 101.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.5%)

Memory

-11.5MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.1%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
✓	accuracy	95.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
✓	accuracy	72.7%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	62.7%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

13.0ms	159×	0	valid
11.0ms	37×	2	valid
8.0ms	52×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-mult: 5.0ms (26.9% of total)

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

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

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

adjust: 2.0ms (10.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite366.0ms (3.4%)

Memory

7.2MiB live, 473.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

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

simplify413.0ms (3.8%)

Memory

-18.0MiB live, 601.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (.f64 c #s(literal -3/2 binary64)) (/.f64 (.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 a a)) (.f64 b b))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a (.f64 c #s(literal -3/2 binary64)) (/.f64 (.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 a a)) (.f64 b b)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (.f64 (.f64 a c) #s(literal -3/2 binary64))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (.f64 b (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (.f64 b b)) #s(literal 2 binary64)))) (neg.f64 b))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) (/.f64 (.f64 c #s(literal -3/2 binary64)) b)))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 a (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(.f64 a (-.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(neg.f64 (.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 b b))) (sqrt.f64 #s(literal 3 binary64)))) a) b) a)) (neg.f64 a))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (.f64 a #s(literal -3/2 binary64)) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 c (fma.f64 c (fma.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -27/16 binary64) c) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 c (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (/.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/6 binary64)) (.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) #s(literal 1/3 binary64))) (/.f64 (-.f64 (.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) c)) c)) (neg.f64 c))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(fma.f64 (/.f64 (.f64 a c) (.f64 b b)) (*.f64 #s(literal -3/2 binary64) b) b)
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(.f64 b (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(fma.f64 b (fma.f64 a (.f64 (/.f64 c (.f64 b b)) #s(literal -3/2 binary64)) (fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -27/16 binary64)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(fma.f64 (.f64 b (/.f64 (.f64 a c) (*.f64 b b))) #s(literal 3/2 binary64) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) (.f64 b b)) #s(literal 1 binary64)))) (neg.f64 b))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -3/2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (/.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (/.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 a))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -27/16 binary64) c) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 a #s(literal -3/2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))))))))

eval102.0ms (0.9%)

Memory: -1.7MiB live, 231.8MiB allocated
Compiler: Compiled 22 517 to 2 107 computations (90.6% saved)

prune91.0ms (0.8%)

Memory

-13.5MiB live, 262.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	577	16	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	16	594

Accuracy

94.8%

Counts

594 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	33.2%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	11.1%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (.f64 #s(literal 3 binary64) a))
	47.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	48.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	30.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	29.5%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
	40.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
▶	34.5%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	34.5%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	29.4%	(/.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))))))
	29.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)))
▶	34.3%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
▶	29.5%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	48.0%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
	38.0%	(.f64 c (fma.f64 a (.f64 (/.f64 c (.f64 b (.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))

Compiler

Compiled 518 to 356 computations (31.3% saved)

simplify303.0ms (2.8%)

Memory

10.6MiB live, 339.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 984×	`lower-fma.f32`
2 978×	`lower-fma.f64`
2 512×	`lower-/.f32`
2 498×	`lower-/.f64`
2 304×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	246
0	58	247
1	97	244
2	157	244
3	302	244
4	750	244
5	1636	242
6	3131	242
7	4847	242
8	5864	242
9	6180	242
10	6241	242
11	6273	242
12	6301	242
13	6848	242
14	7287	242
15	7417	242
16	7427	242
17	7437	242
18	7447	242
19	7456	242
20	7456	242
0	8467	241

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (2.1%)

Memory

4.9MiB live, 426.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
✓	accuracy	95.6%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	72.7%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.6%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
✓	accuracy	96.3%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	77.9%	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	accuracy	99.4%	(/.f64 #s(literal 2/3 binary64) a)
✓	accuracy	98.4%	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
✓	accuracy	95.4%	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
✓	accuracy	91.8%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
✓	accuracy	99.8%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	accuracy	99.4%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))
✓	accuracy	95.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	72.7%	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))

Samples

90.0ms	78×	2	valid
52.0ms	93×	1	valid
21.0ms	77×	0	valid
6.0ms	8×	3	valid

Compiler

Compiled 264 to 37 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 38.0ms (29.3% of total)

ival-div: 37.0ms (28.6% of total)

adjust: 15.0ms (11.6% of total)

ival-add: 15.0ms (11.6% of total)

const: 12.0ms (9.3% of total)

ival-sqrt: 7.0ms (5.4% of total)

ival-sub: 4.0ms (3.1% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory

12.6MiB live, 148.5MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
6.0ms	a	@	0	(- b (sqrt (+ (* a (* -3 c)) (* b b))))
2.0ms	b	@	0	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
2.0ms	a	@	inf	(/ (* b -2/3) a)
1.0ms	c	@	0	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))

rewrite332.0ms (3.1%)

Memory

-46.1MiB live, 654.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 284×	`lower-/.f32`
5 270×	`lower-/.f64`
4 012×	`lower-*.f32`
3 998×	`lower-*.f64`
3 954×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	176
0	58	177
1	216	174
2	1416	174
0	8185	174

Stop Event

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

Counts

19 → 976

Calls

Call 1

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

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

simplify493.0ms (4.6%)

Memory

38.0MiB live, 860.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
7 942×	`lower-*.f64`
7 942×	`lower-*.f32`
6 146×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1045	11373
1	3409	11283
0	8868	10755

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 546

Calls

Call 1

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

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

eval267.0ms (2.5%)

Memory: 22.1MiB live, 527.0MiB allocated
Compiler: Compiled 49 195 to 4 443 computations (91% saved)

prune257.0ms (2.4%)

Memory

-27.1MiB live, 539.7MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 664	19	1 683
Fresh	4	7	11
Picked	3	2	5
Done	0	0	0
Total	1 671	28	1 699

Accuracy

94.9%

Counts

1 699 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	33.2%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b) (.f64 b #s(literal -2/3 binary64))) a)
	24.2%	(/.f64 (/.f64 (fma.f64 (.f64 a c) #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 (.f64 c (.f64 a a)) c)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	34.5%	(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
	33.2%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
	39.9%	(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
	11.1%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (.f64 #s(literal 3 binary64) a))
	47.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	48.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	30.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
▶	47.9%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
	29.5%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
	10.3%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
	40.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓	34.5%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	34.5%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))))))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal -1/3 binary64))))
▶	2.4%	(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) (.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 1/3 binary64))
	47.9%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
▶	10.3%	(.f64 (/.f64 (.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
	2.7%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
	34.5%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	34.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64)))
▶	48.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
▶	34.5%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
	38.0%	(.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)))
	17.3%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 769 to 541 computations (29.6% saved)

simplify302.0ms (2.8%)

Memory

26.1MiB live, 142.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 464×	`lower-fma.f32`
2 460×	`lower-fma.f64`
1 704×	`lower-*.f32`
1 686×	`lower-*.f64`
922×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	197
0	49	197
1	76	195
2	132	194
3	221	194
4	306	194
5	395	194
6	520	194
7	755	194
8	1113	194
9	1909	194
10	2852	194
11	3517	194
12	3848	194
13	3999	194
14	4035	194
15	4042	194
16	4118	194
17	4230	194
18	4496	194
19	4606	194
20	4620	194
21	4632	194
22	4632	194
23	4824	194
24	5580	194
25	5580	194
26	5580	194
27	5580	194
0	5580	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize165.0ms (1.5%)

Memory

-15.4MiB live, 252.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.7%	(fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))
✓	accuracy	95.6%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
✓	accuracy	72.7%	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (/.f64 b a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
✓	accuracy	99.6%	(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
✓	accuracy	99.6%	(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) (.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 c #s(literal 3/2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
✓	accuracy	99.6%	(.f64 (/.f64 (.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	accuracy	99.4%	(/.f64 #s(literal -2/3 binary64) a)
✓	accuracy	97.7%	(fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))
✓	accuracy	95.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
✓	accuracy	72.7%	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c))))

Samples

67.0ms	159×	0	valid
25.0ms	52×	1	valid
19.0ms	38×	2	valid
4.0ms	7×	3	valid

Compiler

Compiled 210 to 32 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-add: 29.0ms (34.8% of total)

ival-mult: 24.0ms (28.8% of total)

ival-div: 12.0ms (14.4% of total)

const: 8.0ms (9.6% of total)

adjust: 4.0ms (4.8% of total)

ival-sqrt: 3.0ms (3.6% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series30.0ms (0.3%)

Memory

18.0MiB live, 89.7MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

rewrite365.0ms (3.4%)

Memory

33.4MiB live, 700.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 098×	`lower-fma.f32`
9 094×	`lower-fma.f64`
6 302×	`lower-*.f32`
6 284×	`lower-*.f64`
2 790×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	127
0	49	127
1	150	125
2	971	124
0	8380	123

Stop Event

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

Counts

16 → 842

Calls

Call 1

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

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

simplify446.0ms (4.2%)

Memory

-26.7MiB live, 786.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 740×	`lower-fma.f64`
10 740×	`lower-fma.f32`
8 224×	`lower-*.f64`
8 224×	`lower-*.f32`
3 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	731	6913
1	2384	6868
0	8069	6556

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

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

eval197.0ms (1.8%)

Memory: 17.0MiB live, 395.6MiB allocated
Compiler: Compiled 40 499 to 3 217 computations (92.1% saved)

prune192.0ms (1.8%)

Memory

-8.7MiB live, 395.9MiB allocated

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1 521	20	1 541
Fresh	9	12	21
Picked	2	3	5
Done	1	1	2
Total	1 533	36	1 569

Accuracy

94.9%

Counts

1 569 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.4%	(fma.f64 (/.f64 (.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64) (.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	2.4%	(fma.f64 c (.f64 (.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	34.4%	(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	24.2%	(/.f64 (/.f64 (fma.f64 (.f64 a c) #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 (.f64 c (.f64 a a)) c)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	34.5%	(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
	39.9%	(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
	30.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
▶	48.0%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
	30.9%	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a)
	10.3%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
	40.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.7%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
✓	34.5%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	34.5%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal -1/3 binary64))))
✓	2.4%	(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) (.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 1/3 binary64))
	2.0%	(.f64 (/.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (.f64 c #s(literal -3/2 binary64))) a) (.f64 a (/.f64 b (*.f64 c #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))
	47.9%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
✓	10.3%	(.f64 (/.f64 (.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
	2.7%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
▶	34.5%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	10.3%	(.f64 (/.f64 #s(literal 3/2 binary64) b) (.f64 c #s(literal 1/3 binary64)))
	34.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))) b)
	34.5%	(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -3/2 binary64)))
	10.3%	(.f64 (/.f64 #s(literal 1/3 binary64) b) (.f64 c #s(literal 3/2 binary64)))
▶	33.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))
	11.3%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 c (.f64 #s(literal -3/2 binary64) (/.f64 a b)) b) b))
▶	48.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))
	30.9%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -3 binary64)))) b))
✓	34.5%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
▶	34.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
	39.9%	(.f64 (.f64 c (/.f64 #s(literal -3/2 binary64) b)) #s(literal 1/3 binary64))
	10.3%	(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
	37.9%	(.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
	17.3%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 913 to 655 computations (28.3% saved)

simplify365.0ms (3.4%)

Memory

-42.4MiB live, 430.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

7 946×	`lower-fma.f32`
7 942×	`lower-fma.f64`
5 374×	`lower-*.f32`
5 352×	`lower-*.f64`
2 208×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	188
0	54	184
1	94	184
2	162	182
3	339	182
4	701	178
5	1462	178
6	2350	178
7	3149	178
8	3580	178
9	4031	178
10	6893	178
0	8860	178

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.5%)

Memory

30.4MiB live, 189.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64))
✓	accuracy	95.6%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
✓	accuracy	72.7%	(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
✓	accuracy	99.6%	(.f64 (.f64 c a) #s(literal -3/2 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) a)
✓	accuracy	93.4%	(/.f64 (.f64 (.f64 c a) #s(literal -3/2 binary64)) b)
✓	accuracy	88.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.5%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
✓	accuracy	98.0%	(fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))
✓	accuracy	95.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))
✓	accuracy	72.7%	(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))) b)
✓	accuracy	62.7%	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))

Samples

67.0ms	159×	0	valid
34.0ms	37×	2	valid
20.0ms	52×	1	valid
5.0ms	8×	3	valid

Compiler

Compiled 199 to 34 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 30.0ms (37.2% of total)

ival-sqrt: 21.0ms (26% of total)

ival-div: 10.0ms (12.4% of total)

const: 7.0ms (8.7% of total)

adjust: 5.0ms (6.2% of total)

ival-add: 4.0ms (5% of total)

ival-sub: 4.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

10.5MiB live, 43.8MiB allocated

Counts

17 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
21.0ms	a	@	0	(* (/ 1 a) -2/3)
1.0ms	c	@	0	(/ (* (* c a) -3/2) b)
1.0ms	b	@	0	(/ (* (* c a) -3/2) b)
0.0ms	b	@	inf	(/ (* (* c a) -3/2) b)
0.0ms	a	@	0	(/ (* (* c a) -3/2) b)

rewrite491.0ms (4.6%)

Memory

-36.5MiB live, 366.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 372×	`lower-fma.f32`
6 368×	`lower-fma.f64`
6 338×	`lower-*.f32`
6 316×	`lower-*.f64`
3 708×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	140
0	54	136
1	181	134
2	886	134
0	8459	134

Stop Event

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

Counts

17 → 1 149

Calls

Call 1

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

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

simplify581.0ms (5.4%)

Memory

53.6MiB live, 837.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 956×	`lower-fma.f64`
13 956×	`lower-fma.f32`
9 360×	`lower-*.f64`
9 360×	`lower-*.f32`
3 808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	8547
1	2233	8487
2	7629	8397
0	8660	8046

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 486

Calls

Call 1

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

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

eval243.0ms (2.3%)

Memory: -23.4MiB live, 449.5MiB allocated
Compiler: Compiled 43 996 to 3 259 computations (92.6% saved)

prune205.0ms (1.9%)

Memory

22.4MiB live, 534.1MiB allocated

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	1 658	13	1 671
Fresh	4	23	27
Picked	1	4	5
Done	0	4	4
Total	1 663	44	1 707

Accuracy

94.9%

Counts

1 707 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.4%	(fma.f64 (/.f64 (.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64) (.f64 (/.f64 b a) #s(literal 2/3 binary64)))
	34.4%	(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
	24.2%	(/.f64 (/.f64 (fma.f64 (.f64 a c) #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 (.f64 c (.f64 a a)) c)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	34.5%	(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
	39.9%	(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
	30.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
	11.3%	(/.f64 (.f64 (-.f64 (fma.f64 c (/.f64 (.f64 a #s(literal -3/2 binary64)) b) b) b) #s(literal 1/3 binary64)) a)
✓	48.0%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
	30.9%	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a)
	10.3%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
	40.1%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.7%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
✓	34.5%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	34.5%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal -1/3 binary64))))
✓	2.4%	(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b a) (.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 1/3 binary64))
	47.9%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 1/3 binary64))
✓	10.3%	(.f64 (/.f64 (.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
	31.6%	(.f64 (/.f64 (.f64 a (.f64 #s(literal -3/2 binary64) c)) (.f64 a b)) #s(literal 1/3 binary64))
	27.7%	(.f64 (/.f64 (.f64 #s(literal 1/3 binary64) c) a) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	2.7%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	34.5%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	10.3%	(.f64 (/.f64 #s(literal 3/2 binary64) b) (.f64 c #s(literal 1/3 binary64)))
	34.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))) b)
	34.5%	(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -3/2 binary64)))
	10.3%	(.f64 (/.f64 #s(literal 1/3 binary64) b) (.f64 c #s(literal 3/2 binary64)))
✓	48.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))
	30.9%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -3 binary64)))) b))
	30.9%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (*.f64 c a))) b))
	35.7%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) c) a))
	30.1%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b)))
✓	34.5%	(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓	34.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
	39.9%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) a) a) (/.f64 c (*.f64 b #s(literal -2/3 binary64))))
	17.2%	(.f64 (.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(literal -2/3 binary64)) b)
	39.9%	(.f64 (.f64 c (/.f64 #s(literal -3/2 binary64) b)) #s(literal 1/3 binary64))
	29.9%	(.f64 (.f64 a #s(literal -3/2 binary64)) (.f64 c (/.f64 #s(literal 1/3 binary64) (.f64 a b))))
	10.3%	(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
	31.2%	(.f64 (.f64 #s(literal 1/3 binary64) (.f64 a c)) (.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
	37.9%	(.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
	29.9%	(.f64 a (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
	31.2%	(.f64 #s(literal -3/2 binary64) (.f64 (.f64 a c) (/.f64 #s(literal 1/3 binary64) (.f64 a b))))
	17.3%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1 386 to 665 computations (52% saved)

regimes114.0ms (1.1%)

Memory

-48.1MiB live, 221.2MiB allocated

Counts

69 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

25.0ms	(/.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))
22.0ms	a
21.0ms	(*.f64 #s(literal 3 binary64) a)
20.0ms	b
19.0ms	c

Results

Accuracy	Segments	Branch
55.7%	5	`a`
91.2%	3	`b`
50.9%	2	`c`
77.2%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
55.7%	5	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory

33.0MiB live, 33.0MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
91.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-1.9MiB live, 36.7MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
91.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-8.3MiB live, 30.2MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
91.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.3%)

Memory

-16.8MiB live, 22.2MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
91.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Memory

-1.1MiB live, 41.3MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
88.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-4.2MiB live, 34.3MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
88.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

33.2MiB live, 33.2MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory

6.6MiB live, 78.8MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
11.0ms	b

Results

Accuracy	Segments	Branch
53.7%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
72.2%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

-25.2MiB live, 16.9MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
72.1%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-7.0MiB live, 32.2MiB allocated

Accuracy

Total -21.0b remaining (-50.1%)

Threshold costs -21b (-50.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.5%	1	`c`
34.5%	1	`a`
34.5%	1	`(*.f64 #s(literal 3 binary64) a)`
34.5%	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))`
34.5%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch32.0ms (0.3%)

Memory

24.9MiB live, 62.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.35587619021947e-124	1.2547216245152399e-123
14.0ms	-2.7200417193591188e+56	-7.780766983929123e+53

Samples

13.0ms	190×	0	valid
4.0ms	17×	1	valid
2.0ms	26×	0	invalid
0.0ms	1×	2	valid

Compiler

Compiled 413 to 278 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (29.6% of total)

adjust: 2.0ms (14.8% of total)

ival-div: 2.0ms (14.8% of total)

ival-sqrt: 2.0ms (14.8% of total)

ival-add: 1.0ms (7.4% of total)

ival-sub: 1.0ms (7.4% of total)

ival-neg: 1.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.35587619021947e-124	1.2547216245152399e-123
1.0ms	-2.7200417193591188e+56	-7.780766983929123e+53

Compiler

Compiled 400 to 291 computations (27.3% saved)

bsearch16.0ms (0.1%)

Memory

-4.7MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.35587619021947e-124	1.2547216245152399e-123
14.0ms	-1.0972622681781293e+114	-4.6735481494025693e+111

Samples

9.0ms	112×	0	valid
0.0ms	6×	0	invalid

Compiler

Compiled 359 to 258 computations (28.1% saved)

Precisions

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

ival-mult: 3.0ms (47.3% of total)

ival-div: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% of total)

ival-sub: 1.0ms (15.8% of total)

ival-sqrt: 1.0ms (15.8% of total)

ival-neg: 1.0ms (15.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.35587619021947e-124	1.2547216245152399e-123
1.0ms	-1.0972622681781293e+114	-4.6735481494025693e+111

Compiler

Compiled 359 to 258 computations (28.1% saved)

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.35587619021947e-124	1.2547216245152399e-123
1.0ms	-1.0972622681781293e+114	-4.6735481494025693e+111

Compiler

Compiled 359 to 258 computations (28.1% saved)

bsearch26.0ms (0.2%)

Memory

-32.0MiB live, 54.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.35587619021947e-124	1.2547216245152399e-123
21.0ms	-6.511981358410696e-65	-4.969336141304009e-69

Samples

14.0ms	128×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 412 to 305 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (43.4% of total)

ival-mult: 3.0ms (26% of total)

ival-div: 1.0ms (8.7% of total)

ival-sub: 1.0ms (8.7% of total)

ival-sqrt: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.35587619021947e-124	1.2547216245152399e-123
1.0ms	-6.511981358410696e-65	-4.969336141304009e-69

Compiler

Compiled 388 to 289 computations (25.5% saved)

bsearch2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.35587619021947e-124	1.2547216245152399e-123
1.0ms	-6.511981358410696e-65	-4.969336141304009e-69

Compiler

Compiled 388 to 289 computations (25.5% saved)

bsearch30.0ms (0.3%)

Memory

-8.9MiB live, 66.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.9294134603154903e-305	1.2222732029644471e-306

Samples

10.0ms	144×	0	valid
6.0ms	83×	0	invalid

Compiler

Compiled 230 to 171 computations (25.7% saved)

Precisions

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

ival-mult: 4.0ms (39.7% of total)

ival-div: 2.0ms (19.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-sub: 1.0ms (9.9% of total)

ival-sqrt: 1.0ms (9.9% of total)

ival-neg: 1.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory

-2.8MiB live, 41.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.0163377326060408e-283	6.044988501224384e-282

Samples

10.0ms	111×	0	valid
4.0ms	53×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 149 to 116 computations (22.1% saved)

Precisions

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

ival-mult: 3.0ms (32% of total)

ival-neg: 3.0ms (32% of total)

ival-div: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

ival-sub: 1.0ms (10.7% of total)

ival-sqrt: 1.0ms (10.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory

-5.6MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
34×	`+-commutative_binary64`
30×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	314
1	130	312
2	163	312
3	181	312
4	193	312
5	197	312

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 c a))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 8580440018483781/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)

Outputs
(if (<=.f64 b #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal 3 binary64)) c))) b) (.f64 a #s(literal 3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -550000000000000008557678871206763663347510768306583788353373819236958579640615636795741964453276096221913454477312 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 c a))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (if (<=.f64 b #s(literal 7442828536787015/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (.f64 a c))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 (/.f64 b a) #s(literal -2/3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 8580440018483781/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (.f64 (/.f64 #s(literal -2/3 binary64) a) b) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 8580440018483781/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

soundness1.2s (10.9%)

Memory

46.3MiB live, 1 015.8MiB allocated

Rules

13 956×	`lower-fma.f64`
13 956×	`lower-fma.f32`
11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
10 788×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	731	6913
1	2384	6868
0	8069	6556
0	1045	11373
1	3409	11283
0	8868	10755
0	683	8547
1	2233	8487
2	7629	8397
0	8660	8046
0	32	176
0	58	177
1	216	174
2	1416	174
0	8185	174
0	28	127
0	49	127
1	150	125
2	971	124
0	8380	123
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44

Stop Event

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

Compiler

Compiled 924 to 525 computations (43.2% saved)

preprocess119.0ms (1.1%)

Memory: -12.3MiB live, 204.2MiB allocated
Compiler: Compiled 670 to 208 computations (69% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze127.0ms (1.2%)

sample1.6s (14.5%)

preprocess143.0ms (1.3%)

explain310.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify94.0ms (0.9%)

localize50.0ms (0.5%)

series21.0ms (0.2%)

rewrite366.0ms (3.4%)

simplify413.0ms (3.8%)

eval102.0ms (0.9%)

prune91.0ms (0.8%)

simplify303.0ms (2.8%)

localize229.0ms (2.1%)

series57.0ms (0.5%)

rewrite332.0ms (3.1%)

simplify493.0ms (4.6%)

eval267.0ms (2.5%)

prune257.0ms (2.4%)

simplify302.0ms (2.8%)

localize165.0ms (1.5%)

series30.0ms (0.3%)

rewrite365.0ms (3.4%)

simplify446.0ms (4.2%)

eval197.0ms (1.8%)

prune192.0ms (1.8%)

simplify365.0ms (3.4%)

localize165.0ms (1.5%)

series40.0ms (0.4%)

rewrite491.0ms (4.6%)

simplify581.0ms (5.4%)

eval243.0ms (2.3%)

prune205.0ms (1.9%)

regimes114.0ms (1.1%)

regimes18.0ms (0.2%)

regimes19.0ms (0.2%)

regimes16.0ms (0.1%)

regimes28.0ms (0.3%)

regimes36.0ms (0.3%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes27.0ms (0.2%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch2.0ms (0%)

bsearch16.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch26.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch30.0ms (0.3%)

bsearch21.0ms (0.2%)

simplify15.0ms (0.1%)

soundness1.2s (10.9%)

preprocess119.0ms (1.1%)

end0.0ms (0%)

Profiling