Metrics for Cubic critical

analyze150.0ms (1.4%)

Memory

11.7MiB live, 166.2MiB 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)

sample1.8s (16.7%)

Memory

-75.2MiB live, 2 379.4MiB allocated

Samples

777.0ms	5 585×	0	valid
275.0ms	1 167×	2	valid
193.0ms	1 338×	1	valid
73.0ms	166×	3	valid
70.0ms	919×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 400.0ms (36.1% of total)

ival-mult: 218.0ms (19.7% of total)

ival-sqrt: 151.0ms (13.6% of total)

ival-add: 108.0ms (9.8% of total)

ival-sub: 86.0ms (7.8% of total)

adjust: 75.0ms (6.8% of total)

ival-neg: 53.0ms (4.8% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess144.0ms (1.4%)

Memory

-2.8MiB live, 115.3MiB 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))

explain168.0ms (1.6%)

Memory

3.0MiB live, 286.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
108	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
54	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
13	-	1	(1.7348537163701743e-282 1.2362829565934744e-59 -1.5749690006332152e-87)	`(/.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	102	0
↳	`(*.f64 b b)`	overflow	80
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	31
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	102
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	54	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`	u/n	10	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	31
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	6
↳	`(*.f64 b b)`	underflow	46
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	23
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	6	0
↳	`(*.f64 b b)`	underflow	46
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	31
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	6	0
↳	`(*.f64 b b)`	overflow	80
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	31
`/.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))`	o/n	2	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	31
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	102
↳	`(*.f64 b b)`	overflow	80
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	overflow	2

Confusion

	Predicted +	Predicted -
+	130	0
-	17	109

Precision

0.8843537414965986

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	17	0	109

Precision?

0.8843537414965986

Recall?

1.0

Freqs

test

number	freq
0	109
1	116
2	29
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	360×	0	valid
15.0ms	72×	2	valid
11.0ms	70×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 14.0ms (30.7% of total)

ival-sqrt: 11.0ms (24.1% of total)

ival-div: 5.0ms (11% of total)

ival-sub: 4.0ms (8.8% of total)

adjust: 4.0ms (8.8% of total)

ival-add: 4.0ms (8.8% of total)

ival-neg: 4.0ms (8.8% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify82.0ms (0.8%)

Memory

2.0MiB live, 40.2MiB 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

localize52.0ms (0.5%)

Memory

-11.4MiB live, 110.1MiB 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	95.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
✓	accuracy	80.6%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

20.0ms	180×	0	valid
8.0ms	36×	2	valid
6.0ms	35×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-mult: 8.0ms (37.4% of total)

ival-div: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

ival-sub: 2.0ms (9.3% of total)

adjust: 2.0ms (9.3% of total)

ival-add: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

-5.7MiB live, 67.0MiB allocated

Counts

5 → 156

Calls

Call 1

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

Outputs
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(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))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
2.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms	a	@	-inf	(sqrt (- (* b b) (* (* 3 a) c)))
1.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify392.0ms (3.7%)

Memory

30.4MiB live, 505.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite404.0ms (3.8%)

Memory

-15.6MiB live, 338.6MiB 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)))))
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(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 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)))) #s(literal 3 binary64)))
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(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)))
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(.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 b (.f64 b (.f64 b b)) (fma.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))))))))
(.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 #s(literal 3 binary64) a)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (fma.f64 b b (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
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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))
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(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))
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(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)))))

eval118.0ms (1.1%)

Memory: -6.6MiB live, 108.8MiB allocated
Compiler: Compiled 22 670 to 2 107 computations (90.7% saved)

prune163.0ms (1.5%)

Memory

-11.3MiB live, 124.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	576	17	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	17	594

Accuracy

90.6%

Counts

594 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
	51.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	51.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
	26.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 a c)) (.f64 a c) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	31.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	25.7%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	38.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
	30.9%	(/.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))))))
	30.9%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (.f64 a #s(literal -3 binary64))))
	30.9%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
	30.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) #s(literal 1/3 binary64)))
	51.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
▶	24.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
	28.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c c) (.f64 b b))) (.f64 c #s(literal -1/2 binary64))) b))
	32.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
▶	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
▶	38.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))

Compiler

Compiled 624 to 408 computations (34.6% saved)

simplify246.0ms (2.3%)

Memory

28.2MiB live, 146.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (.f64 c c))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b)))
✓	cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
✓	cost-diff	640	(fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
✓	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))))
✓	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	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
✓	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	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
✓	cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	cost-diff	0	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))

Rules

4 102×	`lower-fma.f32`
4 094×	`lower-fma.f64`
3 120×	`lower-*.f32`
3 100×	`lower-*.f64`
1 574×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	327
0	78	318
1	140	311
2	288	311
3	707	309
4	1649	309
5	2813	305
6	4670	305
7	6620	305
8	7527	305
9	7871	305
0	8004	301

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (2.2%)

Memory

-24.6MiB live, 133.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.7%	(fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
✓	accuracy	88.1%	(.f64 a (.f64 c c))
✓	accuracy	78.0%	(/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b)))
✓	accuracy	31.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
✓	accuracy	99.9%	(fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))
✓	accuracy	95.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	80.6%	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))))
✓	accuracy	60.6%	(sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)))
✓	accuracy	98.8%	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
✓	accuracy	94.4%	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
✓	accuracy	92.7%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
✓	accuracy	39.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
✓	accuracy	99.8%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓	accuracy	99.5%	(*.f64 b #s(literal -2/3 binary64))
✓	accuracy	39.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
✓	accuracy	99.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
✓	accuracy	95.3%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a)
✓	accuracy	80.6%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
✓	accuracy	60.6%	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))

Samples

71.0ms	180×	0	valid
45.0ms	36×	2	valid
20.0ms	35×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 302 to 47 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

adjust: 24.0ms (21.8% of total)

ival-add: 24.0ms (21.8% of total)

ival-mult: 23.0ms (20.9% of total)

ival-div: 18.0ms (16.4% of total)

ival-sqrt: 8.0ms (7.3% of total)

const: 8.0ms (7.3% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series156.0ms (1.5%)

Memory

26.9MiB live, 136.0MiB allocated

Counts

20 → 624

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor 0 b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) (patch (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b)) #<representation binary64>) () ())) ())

Calls

156 calls:

Time	Variable		Point	Expression
51.0ms	b	@	inf	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
5.0ms	c	@	0	(+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b))
2.0ms	c	@	-inf	(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
1.0ms	a	@	0	(+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b))
1.0ms	c	@	0	(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))

simplify432.0ms (4.1%)

Memory

2.9MiB live, 608.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 660×	`lower-fma.f64`
10 660×	`lower-fma.f32`
8 822×	`lower-*.f64`
8 822×	`lower-*.f32`
4 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	861	12552
1	2785	12467
0	8385	11909

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 618

Calls

Call 1

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

rewrite312.0ms (2.9%)

Memory

1.2MiB live, 601.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 948×	`lower-*.f32`
4 928×	`lower-*.f64`
4 142×	`lower-/.f32`
4 126×	`lower-/.f64`
3 682×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	255
0	78	248
1	300	241
2	2226	241
0	8461	241

Stop Event

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

Counts

20 → 781

Calls

Call 1

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

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

eval177.0ms (1.7%)

Memory: 13.9MiB live, 398.9MiB allocated
Compiler: Compiled 39 289 to 3 367 computations (91.4% saved)

prune247.0ms (2.3%)

Memory

-35.0MiB live, 498.6MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 393	25	1 418
Fresh	8	4	12
Picked	3	2	5
Done	0	0	0
Total	1 404	31	1 435

Accuracy

90.7%

Counts

1 435 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) a)
✓	51.7%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64))
▶	38.6%	(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
	28.3%	(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (.f64 a (.f64 (/.f64 c b) #s(literal 3/2 binary64)))) a) #s(literal -3 binary64))
	51.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
▶	31.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	31.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	10.4%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* a -3) c) (* b b))) (fma.f64 a (/.f64 (.f64 #s(literal -3/2 binary64) c) b) b))) (.f64 #s(literal 3 binary64) a))
	10.2%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* a -3) c) (* b b))) (.f64 b (fma.f64 (.f64 #s(literal -3/2 binary64) a) (/.f64 c (.f64 b b)) #s(literal 1 binary64))))) (.f64 #s(literal 3 binary64) a))
	32.1%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal -3 binary64))
	25.7%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	38.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 b #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) a))
	51.6%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
	51.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
	51.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
▶	51.5%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
	27.7%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 c (.f64 c a)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	32.2%	#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	21.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 4/9 binary64) (.f64 a a))) (neg.f64 b)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) a))))
✓	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	1.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
	9.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
	39.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	17.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	11.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a)))) (.f64 b (*.f64 b b)))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 a (/.f64 (.f64 c #s(literal 1/2 binary64)) b) (.f64 b #s(literal -2/3 binary64))) a)))
	26.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (.f64 b b) a) (.f64 c #s(literal 1/2 binary64))) b)))
▶	9.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))

Compiler

Compiled 1 009 to 641 computations (36.5% saved)

simplify279.0ms (2.6%)

Memory

21.6MiB live, 257.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 296×	`lower-fma.f32`
3 294×	`lower-fma.f64`
2 168×	`lower-*.f32`
2 154×	`lower-*.f64`
1 852×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	363
0	75	357
1	132	347
2	250	347
3	587	345
4	1571	345
5	3608	341
6	5051	341
7	5903	341
8	6170	341
9	6208	341
10	6213	341
11	6217	341
12	6630	341
13	7028	341
14	7764	341
15	7936	341
16	7938	341
17	7942	341
18	7942	341
0	8249	339

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (1.7%)

Memory

-22.6MiB live, 213.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.7%	(fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))
✓	accuracy	95.1%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))
✓	accuracy	80.6%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))))
✓	accuracy	60.6%	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))
✓	accuracy	95.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
✓	accuracy	80.6%	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64))))))
✓	accuracy	60.6%	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))))
✓	accuracy	36.2%	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64))))
✓	accuracy	99.6%	(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
✓	accuracy	95.3%	(/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a)
✓	accuracy	80.6%	(-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b)))
✓	accuracy	38.6%	#s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))
✓	accuracy	100.0%	(*.f64 c #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
✓	accuracy	39.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
✓	accuracy	34.0%	#s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
✓	accuracy	97.7%	(fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))
✓	accuracy	96.0%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) a)
✓	accuracy	80.6%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))))
✓	accuracy	60.6%	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))

Samples

58.0ms	180×	0	valid
30.0ms	36×	2	valid
18.0ms	35×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 311 to 43 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 26.0ms (31.6% of total)

ival-mult: 20.0ms (24.3% of total)

ival-add: 11.0ms (13.4% of total)

ival-sqrt: 8.0ms (9.7% of total)

adjust: 6.0ms (7.3% of total)

ival-sub: 5.0ms (6.1% of total)

const: 5.0ms (6.1% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series42.0ms (0.4%)

Memory

29.2MiB live, 66.4MiB allocated

Counts

20 → 636

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 b) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (* 3 (* a c))) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (* 3 (* a c))) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) (patch #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64)))) #<representation binary64>) () ())) ())

Calls

159 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3)
1.0ms	b	@	inf	(/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3)
0.0ms	c	@	inf	(/ (* c 1/2) b)
0.0ms	b	@	0	(/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3)
0.0ms	c	@	-inf	(/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3)

simplify400.0ms (3.8%)

Memory

5.7MiB live, 566.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 822×	`lower-fma.f64`
9 822×	`lower-fma.f32`
7 776×	`lower-*.f64`
7 776×	`lower-*.f32`
5 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	956	14616
1	3159	14507
0	8188	13839

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 627

Calls

Call 1

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

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

rewrite312.0ms (2.9%)

Memory

0.3MiB live, 471.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`lower-/.f32`
5 154×	`lower-/.f64`
4 410×	`lower-*.f32`
4 396×	`lower-*.f64`
3 416×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	283
0	75	278
1	284	267
2	2235	267
0	8692	265

Stop Event

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

Counts

20 → 917

Calls

Call 1

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

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

eval210.0ms (2%)

Memory: 25.0MiB live, 317.3MiB allocated
Compiler: Compiled 53 558 to 3 882 computations (92.8% saved)

prune347.0ms (3.3%)

Memory

-27.5MiB live, 502.1MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1 800	22	1 822
Fresh	11	13	24
Picked	4	1	5
Done	1	1	2
Total	1 816	37	1 853

Accuracy

90.7%

Counts

1 853 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.0%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 3 binary64))
	31.0%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -3 binary64)) a)
	38.6%	(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (neg.f64 b))) #s(literal -3 binary64)) a)
	28.3%	(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (.f64 a (.f64 (/.f64 c b) #s(literal 3/2 binary64)))) a) #s(literal -3 binary64))
▶	51.6%	(/.f64 (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) a)
▶	51.6%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
	31.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 a #s(literal 3 binary64)))
	38.6%	(/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) (*.f64 a #s(literal -3 binary64)))
	31.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	10.4%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 a (.f64 (/.f64 c b) #s(literal -3/2 binary64)) b))) (.f64 #s(literal 3 binary64) a))
	38.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b)))) #s(literal -3 binary64))
	19.8%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b))))) #s(literal -1 binary64))) #s(literal -3 binary64))
	25.8%	(/.f64 #s(approx (/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b)) a)
	32.1%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal -3 binary64))
	25.7%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	38.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b)))))
	38.6%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b))))))
	31.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
	31.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
	31.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b))
	38.5%	(.f64 (-.f64 b #s(approx (sqrt (+ ( b b) (* a (* -3 c)))) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
	26.5%	#s(approx (/ (/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3) a) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	32.2%	#s(approx (/ (/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	21.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 4/9 binary64) (.f64 a a))) (neg.f64 b)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) a))))
✓	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	1.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b #s(literal -2/3 binary64))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
▶	9.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
▶	39.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	17.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	11.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a)))) (.f64 b (*.f64 b b)))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))))
▶	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a)))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 a (/.f64 (.f64 c #s(literal 1/2 binary64)) b) (.f64 b #s(literal -2/3 binary64))) a)))
✓	9.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
	4.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (exp.f64 (.f64 (log.f64 (/.f64 b (.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))

Compiler

Compiled 1 147 to 744 computations (35.1% saved)

simplify175.0ms (1.7%)

Memory

8.5MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3 176×	`lower-fma.f32`
3 172×	`lower-fma.f64`
2 622×	`lower-*.f32`
2 604×	`lower-*.f64`
1 406×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	380
0	73	378
1	140	372
2	272	372
3	517	369
4	1040	369
5	1973	363
6	3362	363
7	5759	361
8	7126	361
0	8059	353

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (1.8%)

Memory

16.9MiB live, 247.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.0%	(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
✓	accuracy	95.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
✓	accuracy	80.6%	(-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b)
✓	accuracy	60.6%	(sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))
✓	accuracy	99.6%	(fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64)))
✓	accuracy	93.1%	(/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a)
✓	accuracy	91.8%	(/.f64 (*.f64 a c) b)
✓	accuracy	39.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a)))
✓	accuracy	92.7%	(.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b))
✓	accuracy	87.0%	(/.f64 c (*.f64 b b))
✓	accuracy	39.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
✓	accuracy	34.5%	#s(approx (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b))))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.5%	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
✓	accuracy	39.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
✓	accuracy	98.0%	(fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))
✓	accuracy	96.0%	(/.f64 (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) a)
✓	accuracy	80.6%	(-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64)))
✓	accuracy	60.6%	(sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b)))

Samples

60.0ms	179×	0	valid
39.0ms	36×	2	valid
23.0ms	36×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 307 to 45 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 31.0ms (31.7% of total)

ival-mult: 26.0ms (26.6% of total)

const: 15.0ms (15.3% of total)

ival-add: 7.0ms (7.2% of total)

adjust: 6.0ms (6.1% of total)

ival-sqrt: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series56.0ms (0.5%)

Memory

-28.4MiB live, 92.7MiB allocated

Counts

21 → 684

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/3 b) (* -1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)) (* -1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 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)) (* -1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) (taylor inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c)))) b) (taylor inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) (taylor inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 b) (taylor -inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (+ 2/3 (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* 1/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (+ 2/3 (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) (taylor -inf b) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) (taylor 0 a) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))) (taylor 0 a) (#s(alt (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) (patch (-.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) (patch (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) (patch (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) (patch (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) (patch (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 1/2 binary64))) a))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(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))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(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)))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor -inf b) (#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (.f64 a c) b) (patch (/.f64 (.f64 a c) b) #<representation binary64>) () ())) ())

Calls

171 calls:

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

simplify425.0ms (4%)

Memory

-0.5MiB live, 606.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 836×	`lower-fma.f64`
11 836×	`lower-fma.f32`
8 826×	`lower-*.f64`
8 826×	`lower-*.f32`
4 718×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	856	12304
1	2786	12201
0	8205	11647

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 681

Calls

Call 1

Inputs
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(- (* -1/3 b) (* -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)) (* -1/3 (* (sqrt (* a c)) (sqrt -3))))
(* -1/2 (/ (* a c) b))
(/ (- (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (- (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c)))) b)
(/ (- (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (- (+ 2/3 (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* 1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (- (+ 2/3 (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))))))
(* -1/2 (/ (* a c) b))
(* a (- (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (- (* a (- (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))
(* a (- (* a (- (* a (- (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))) (* 3/8 (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c 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))))) (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (- (* 1/3 (/ b a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (- (* -1 (/ (+ (* -1/3 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 (- (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (- (* c (- (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* 3/8 (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))
(* c (- (* c (- (* c (- (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))) (* 3/8 (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a 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))))) (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (- (* 1/3 (/ b c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (- (* -1 (/ (+ (* -1/3 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)))))))
(* 1/3 (* (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 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(* -1/3 b)
(+ (* -1/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -1/3 b) (* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))))
(+ (* -1/3 b) (* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3))))))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))))
(* -1/3 b)
(+ (* -1/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -1/3 b) (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))))
(+ (* -1/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
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(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ (* a c) b))
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(* -2/3 b)
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* -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))))))
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(* 1/2 (/ (* a c) b))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* 1/2 (/ (* a c) b))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(* 1/2 (/ (* a c) b))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* 1/2 (/ (* a c) b))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)

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

rewrite313.0ms (3%)

Memory

0.1MiB live, 438.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 758×	`lower-/.f32`
4 746×	`lower-/.f64`
4 376×	`lower-*.f32`
4 358×	`lower-*.f64`
3 292×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	312
0	73	310
1	280	302
2	2137	302
0	8467	297

Stop Event

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

Counts

21 → 616

Calls

Call 1

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

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

eval177.0ms (1.7%)

Memory: 38.8MiB live, 299.4MiB allocated
Compiler: Compiled 40 981 to 3 391 computations (91.7% saved)

prune311.0ms (2.9%)

Memory

-16.8MiB live, 480.6MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 463	11	1 474
Fresh	6	24	30
Picked	2	3	5
Done	0	2	2
Total	1 471	40	1 511

Accuracy

90.7%

Counts

1 511 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a)
	31.0%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 3 binary64))
	31.0%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (.f64 c (.f64 a #s(literal -3 binary64)))))) #s(literal -3 binary64)) a)
	38.6%	(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (neg.f64 b))) #s(literal -3 binary64)) a)
	28.3%	(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (.f64 a (.f64 (/.f64 c b) #s(literal 3/2 binary64)))) a) #s(literal -3 binary64))
✓	51.6%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
	31.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 a #s(literal 3 binary64)))
	31.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64)))
	10.4%	(/.f64 (-.f64 #s(approx (sqrt (+ (* -3 (* a c)) (* b b))) (fma.f64 a (.f64 (/.f64 c b) #s(literal -3/2 binary64)) b)) b) (.f64 a #s(literal 3 binary64)))
	38.6%	(/.f64 (-.f64 #s(approx (sqrt (+ (* -3 (* a c)) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64)))
	38.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b)))) #s(literal -3 binary64))
	19.8%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b))))) #s(literal -1 binary64))) #s(literal -3 binary64))
	25.8%	(/.f64 #s(approx (/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b)) a)
	32.1%	(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal -3 binary64))
	25.8%	(/.f64 #s(approx (- (sqrt (+ (* -3 (* a c)) (* b b))) b) (/.f64 (.f64 (.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 a #s(literal 3 binary64)))
	25.7%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	38.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (neg.f64 b)))))
	31.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
	31.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
	31.0%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b))
	38.5%	(.f64 (-.f64 b #s(approx (sqrt (+ ( b b) (* a (* -3 c)))) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
	26.5%	#s(approx (/ (/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3) a) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	32.2%	#s(approx (/ (/ (- b (sqrt (+ (* b b) (* a (* -3 c))))) -3) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	21.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 c #s(literal -1/2 binary64))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 4/9 binary64) (.f64 a a))) (neg.f64 b)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) a))))
✓	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
	39.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	1.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
✓	9.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(approx (+ ( c (/ -1/2 (* b b))) (/ 2/3 a)) (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)))) (neg.f64 b)))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64))))
✓	39.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))))
	19.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
	17.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
	11.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 c (.f64 b b)) (.f64 #s(literal -3/8 binary64) (.f64 c (.f64 c a)))) (.f64 b (*.f64 b b)))))
	39.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (.f64 a c) (/.f64 #s(literal 1/2 binary64) b) (.f64 b #s(literal -2/3 binary64))) a)))
✓	9.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
	9.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 #s(approx (+ (* b -2/3) (* (/ (* a c) b) 1/2)) (/.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) b)) a)))
	4.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (exp.f64 (.f64 (log.f64 (/.f64 b (.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))

Compiler

Compiled 1 645 to 655 computations (60.2% saved)

regimes127.0ms (1.2%)

Memory

-8.7MiB live, 185.4MiB allocated

Counts

76 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

36.0ms	(*.f64 #s(literal 3 binary64) a)
22.0ms	a
22.0ms	c
21.0ms	b
21.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
54.3%	2	`a`
86.1%	3	`b`
54.9%	3	`c`
75.5%	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))`
54.3%	2	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes23.0ms (0.2%)

Memory

-7.6MiB live, 34.3MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

31.3MiB live, 31.3MiB allocated

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-9.6MiB live, 29.4MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

-13.5MiB live, 23.9MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
84.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-20.6MiB live, 18.2MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

-24.1MiB live, 21.6MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	b
8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
54.4%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
68.9%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-19.1MiB live, 19.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

3.0ms	c
2.0ms	a
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
39.3%	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))`
39.3%	1	`c`
39.3%	1	`a`
39.3%	1	`(*.f64 #s(literal 3 binary64) a)`
46.1%	2	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
9.7%	1	`c`
9.7%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
9.7%	1	`a`
9.7%	1	`(*.f64 #s(literal 3 binary64) a)`
9.7%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch50.0ms (0.5%)

Memory

2.2MiB live, 77.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.0419900143896422e-64	1.2362829565934744e-59
18.0ms	-6.19350282673279e+99	-3.2655995300313762e+93

Samples

17.0ms	226×	0	valid
8.0ms	41×	1	valid
4.0ms	21×	2	valid
4.0ms	50×	0	invalid

Compiler

Compiled 599 to 387 computations (35.4% saved)

Precisions

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

ival-mult: 7.0ms (31.6% of total)

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

ival-div: 3.0ms (13.5% of total)

ival-sqrt: 3.0ms (13.5% of total)

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

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

adjust: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory

-11.0MiB live, 28.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0419900143896422e-64	1.2362829565934744e-59
22.0ms	-1922.4796342843636	-0.6597474299708991

Samples

9.0ms	128×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 581 to 399 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.7% of total)

ival-div: 1.0ms (14.6% of total)

ival-add: 1.0ms (14.6% of total)

ival-sub: 1.0ms (14.6% of total)

ival-sqrt: 1.0ms (14.6% of total)

ival-neg: 1.0ms (14.6% 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

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0419900143896422e-64	1.2362829565934744e-59
1.0ms	-1922.4796342843636	-0.6597474299708991

Compiler

Compiled 581 to 399 computations (31.3% saved)

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
1.0ms	1.0419900143896422e-64	1.2362829565934744e-59
1.0ms	-1922.4796342843636	-0.6597474299708991

Compiler

Compiled 564 to 382 computations (32.3% saved)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0419900143896422e-64	1.2362829565934744e-59
1.0ms	-1922.4796342843636	-0.6597474299708991

Compiler

Compiled 564 to 382 computations (32.3% saved)

bsearch33.0ms (0.3%)

Memory

11.6MiB live, 48.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.0419900143896422e-64	1.2362829565934744e-59
21.0ms	-4.583968913393191e-74	-8.954131081918016e-77

Samples

11.0ms	153×	0	valid
7.0ms	57×	0	invalid
2.0ms	18×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 530 to 365 computations (31.1% saved)

Precisions

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

ival-div: 4.0ms (27.2% of total)

ival-mult: 4.0ms (27.2% of total)

ival-sqrt: 2.0ms (13.6% of total)

adjust: 1.0ms (6.8% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% 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

7.0MiB live, 7.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0419900143896422e-64	1.2362829565934744e-59
1.0ms	-4.583968913393191e-74	-8.954131081918016e-77

Compiler

Compiled 530 to 365 computations (31.1% saved)

bsearch2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0419900143896422e-64	1.2362829565934744e-59
1.0ms	-4.583968913393191e-74	-8.954131081918016e-77

Compiler

Compiled 530 to 365 computations (31.1% saved)

bsearch31.0ms (0.3%)

Memory

-30.8MiB live, 43.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.2320637200562912e-301	1.1625717743511966e-306

Samples

15.0ms	144×	0	valid
5.0ms	72×	0	invalid

Compiler

Compiled 257 to 171 computations (33.5% saved)

Precisions

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

ival-mult: 4.0ms (40.2% of total)

ival-div: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

ival-sub: 1.0ms (10.1% of total)

ival-sqrt: 1.0ms (10.1% of total)

ival-neg: 1.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2320637200562912e-301	1.1625717743511966e-306

Compiler

Compiled 203 to 144 computations (29.1% saved)

bsearch25.0ms (0.2%)

Memory

-8.3MiB live, 38.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.640718058264294e-26	1.221286566474587e-24

Samples

6.0ms	32×	2	valid
4.0ms	32×	1	valid
3.0ms	48×	0	valid
1.0ms	20×	0	invalid

Compiler

Compiled 170 to 116 computations (31.8% saved)

Precisions

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

ival-mult: 3.0ms (28.9% of total)

adjust: 2.0ms (19.3% of total)

ival-sqrt: 2.0ms (19.3% of total)

ival-div: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

ival-neg: 1.0ms (9.6% 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

28.2MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	958
1	142	957
2	151	957
3	154	957
4	155	957

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -979999999999999958276100966905712093775232987972829830247568348621172322744231256662043645060317184 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) #s(literal 1/3 binary64) (.f64 b #s(literal -1/3 binary64))) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 4627840190124763/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))

Outputs
(if (<=.f64 b #s(literal -979999999999999958276100966905712093775232987972829830247568348621172322744231256662043645060317184 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) a) #s(literal -3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -979999999999999958276100966905712093775232987972829830247568348621172322744231256662043645060317184 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) a) #s(literal -3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -3 binary64) (.f64 a c)))) #s(literal 1/3 binary64) (.f64 b #s(literal -1/3 binary64))) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -3 binary64)) c (.f64 b b))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1900 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 2952698275551563/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64))))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( -3 (* a c)) (* b b)) (.f64 c (.f64 a #s(literal -3 binary64))))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) (if (<=.f64 b #s(literal 4110619167924725/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 b #s(literal -2/3 binary64)) a)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 4627840190124763/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))

soundness1.3s (12.4%)

Memory

7.3MiB live, 847.2MiB allocated

Rules

11 836×	`lower-fma.f64`
11 836×	`lower-fma.f32`
10 788×	`lower-fma.f64`
10 788×	`lower-fma.f32`
10 660×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	283
0	75	278
1	284	267
2	2235	267
0	8692	265
0	12	51
0	20	51
1	71	49
2	525	48
3	6836	48
0	8125	44
0	856	12304
1	2786	12201
0	8205	11647
0	861	12552
1	2785	12467
0	8385	11909
0	560	3466
1	1767	3443
2	6215	3400
0	8264	3230
0	49	312
0	73	310
1	280	302
2	2137	302
0	8467	297
0	47	255
0	78	248
1	300	241
2	2226	241
0	8461	241

Stop Event

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

Compiler

Compiled 1 053 to 500 computations (52.5% saved)

preprocess107.0ms (1%)

Memory: -5.7MiB live, 155.2MiB allocated
Compiler: Compiled 816 to 204 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze150.0ms (1.4%)

sample1.8s (16.7%)

preprocess144.0ms (1.4%)

explain168.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify82.0ms (0.8%)

localize52.0ms (0.5%)

series28.0ms (0.3%)

simplify392.0ms (3.7%)

rewrite404.0ms (3.8%)

eval118.0ms (1.1%)

prune163.0ms (1.5%)

simplify246.0ms (2.3%)

localize238.0ms (2.2%)

series156.0ms (1.5%)

simplify432.0ms (4.1%)

rewrite312.0ms (2.9%)

eval177.0ms (1.7%)

prune247.0ms (2.3%)

simplify279.0ms (2.6%)

localize176.0ms (1.7%)

series42.0ms (0.4%)

simplify400.0ms (3.8%)

rewrite312.0ms (2.9%)

eval210.0ms (2%)

prune347.0ms (3.3%)

simplify175.0ms (1.7%)

localize190.0ms (1.8%)

series56.0ms (0.5%)

simplify425.0ms (4%)

rewrite313.0ms (3%)

eval177.0ms (1.7%)

prune311.0ms (2.9%)

regimes127.0ms (1.2%)

regimes23.0ms (0.2%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes23.0ms (0.2%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch50.0ms (0.5%)

bsearch25.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch33.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch31.0ms (0.3%)

bsearch1.0ms (0%)

bsearch25.0ms (0.2%)

simplify15.0ms (0.1%)

soundness1.3s (12.4%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling