Metrics for Statistics.Math.RootFinding:ridders from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze215.0ms (1.8%)

Memory

15.8MiB live, 447.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
25%	24.9%	74.8%	0.2%	0%	0%	0%	6
25%	24.9%	74.8%	0.2%	0%	0%	0%	7
25%	24.9%	74.8%	0.2%	0%	0%	0%	8
37.5%	37.4%	62.3%	0.2%	0%	0%	0%	9
40.6%	40.5%	59.2%	0.2%	0%	0%	0%	10
51.7%	48.3%	45.2%	0.2%	0%	6.2%	0%	11
51.7%	48.3%	45.2%	0.2%	0%	6.2%	0%	12

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.6s (13.2%)

Memory

21.4MiB live, 1 920.1MiB allocated

Samples

854.0ms	8 256×	0	valid
301.0ms	2 042×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 687.0ms

ival-mult: 472.0ms (68.7% of total)

ival-sqrt: 86.0ms (12.5% of total)

ival-sub: 61.0ms (8.9% of total)

ival-div: 57.0ms (8.3% of total)

ival-true: 8.0ms (1.2% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain410.0ms (3.4%)

Memory

-129.4MiB live, 230.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
98	-	1	(-3.8128881897519997e+301 -2.692655069609087e-239 2.234387249600582e-160 1.810564270780689e-238 3.3344734906609403e-118)	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
37	-	1	(1.663698488928207e-145 -2.3679324019770984e-25 4.062917315458572e-151 -1.0567930014122566e-145 -1.4866572926395998e-189)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
21	-	1	(5.131968976602202e-208 -1.770199779470945e-107 -1.842601351669426e+190 8.833984256309533e-172 -1.445065362921461e-240)	`(.f64 (.f64 x y) z)`
2	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 t a)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	oflow-rescue	90	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	90
↳	`(*.f64 t a)`	overflow	24
↳	`(*.f64 z z)`	overflow	75
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	29	0
↳	`(*.f64 x y)`	overflow	30
↳	`(.f64 (.f64 x y) z)`	overflow	48
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	10	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	10	0
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	7	0
↳	`(*.f64 x y)`	underflow	26
↳	`(.f64 (.f64 x y) z)`	underflow	33
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	7	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	7
↳	`(*.f64 t a)`	underflow	37
↳	`(*.f64 z z)`	underflow	47
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	2	0
↳	`(*.f64 z z)`	overflow	75
↳	`(*.f64 t a)`	overflow	24

Confusion

	Predicted +	Predicted -
+	109	2
-	14	131

Precision

0.8861788617886179

Recall

0.9819819819819819

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	2
-	14	0	131

Precision?

0.8861788617886179

Recall?

0.9819819819819819

Freqs

test

number	freq
0	133
1	91
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 119 to 40 computations (66.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 13.0ms (48.1% of total)

ival-div: 8.0ms (29.6% of total)

ival-sqrt: 4.0ms (14.8% of total)

ival-sub: 2.0ms (7.4% of total)

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

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

preprocess121.0ms (1%)

Memory

-0.8MiB live, 119.5MiB allocated

Algorithm

1×	egg-herbie

Rules

768×	`unsub-neg`
597×	`div-sub`
591×	`times-frac`
516×	`associate-/l*`
433×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	295
1	260	285
2	625	285
3	1662	285
4	4345	285
5	6481	285
0	12	14
0	19	14
1	31	14
2	59	14
3	89	14
4	119	14
5	147	14
6	196	14
7	249	14
8	429	14
9	958	14
10	1287	14
11	2165	14
12	3188	14
13	3378	14
14	3400	14
15	3400	14
0	3400	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Outputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.6%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify83.0ms (0.7%)

Memory

-12.2MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Rules

408×	`lower-fma.f64`
408×	`lower-fma.f32`
380×	`lower-*.f32`
376×	`lower-*.f64`
326×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	31	48
2	59	48
3	89	48
4	119	48
5	147	48
6	196	48
7	249	48
8	429	48
9	958	48
10	1287	48
11	2165	48
12	3188	48
13	3378	48
14	3400	48
15	3400	48
0	3400	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(-.f64 (.f64 z z) (.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a

Outputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(.f64 (.f64 x y) z)
(.f64 (.f64 z x) y)
(*.f64 x y)
(*.f64 y x)
x
y
z
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(-.f64 (.f64 z z) (.f64 t a))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
(*.f64 a t)
t
a

localize35.0ms (0.3%)

Memory

18.5MiB live, 55.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.41015625000000006	(-.f64 (.f64 z z) (.f64 t a))
accuracy	4.611499170875584	(.f64 (.f64 x y) z)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	22.789610837346032	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

20.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55.9% of total)

ival-sqrt: 2.0ms (18.6% of total)

ival-sub: 1.0ms (9.3% of total)

ival-div: 1.0ms (9.3% of total)

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

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

series75.0ms (0.6%)

Memory

-23.1MiB live, 57.1MiB allocated

Counts

5 → 192

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())

Outputs
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor 0 z) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) (taylor 0 z) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) (taylor 0 z) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) (taylor 0 z) (#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) (taylor -inf a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) (taylor -inf a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) (taylor -inf a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
30.0ms	t	@	inf	(sqrt (- (* z z) (* t a)))
11.0ms	x	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms	x	@	-inf	(* x y)
2.0ms	z	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	t	@	inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

simplify225.0ms (1.9%)

Memory

23.1MiB live, 212.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 352×	`lower-*.f64`
4 352×	`lower-*.f32`
3 755×	`lower-fma.f64`
3 755×	`lower-fma.f32`
923×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

Inputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))

Outputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
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(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) t) (.f64 t t)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 t a)))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) t) (.f64 t t)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 t a)))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a)
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 t a)))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) t) (.f64 t t)))) (.f64 (.f64 z z) (.f64 z z)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 t a)))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 z z) (.f64 z z)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) t) (.f64 t t)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 t a)))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* a t))
(*.f64 (neg.f64 t) a)
(- (pow z 2) (* a t))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (/.f64 t (*.f64 z z)) (neg.f64 a) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (/.f64 t (*.f64 z z)) (neg.f64 a) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (/.f64 t (*.f64 z z)) (neg.f64 a) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (/.f64 t (*.f64 z z)) (neg.f64 a) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (/.f64 t (*.f64 z z)) (neg.f64 a) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (/.f64 t (*.f64 z z)) (neg.f64 a) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(* -1 (* a t))
(*.f64 (neg.f64 t) a)
(* t (- (/ (pow z 2) t) a))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* t (- (/ (pow z 2) t) a))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* t (- (/ (pow z 2) t) a))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* -1 (* a t))
(*.f64 (neg.f64 t) a)
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(* -1 (* a t))
(*.f64 (neg.f64 t) a)
(* a (- (/ (pow z 2) a) t))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* a (- (/ (pow z 2) a) t))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* a (- (/ (pow z 2) a) t))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* -1 (* a t))
(*.f64 (neg.f64 t) a)
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)

rewrite202.0ms (1.7%)

Memory

-18.1MiB live, 305.5MiB allocated

Rules

2 111×	`lower-*.f32`
2 107×	`lower-*.f64`
1 667×	`lower-fma.f64`
1 667×	`lower-fma.f32`
1 369×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8429	37

Stop Event

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

Counts

5 → 380

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 x y) z)
(*.f64 x y)
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(-.f64 (.f64 z z) (.f64 t a))

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (neg.f64 z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (*.f64 (neg.f64 z) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) x)) (*.f64 z y))
(.f64 (/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 a) t (.f64 z z))))) (sqrt.f64 (fma.f64 a t (*.f64 z z))))
(.f64 (/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) t) t) t) a (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))) (sqrt.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 a t (.f64 z z)) (*.f64 a t)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 z x)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) (.f64 z x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (.f64 z y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 z) y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 (*.f64 z x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 (.f64 z x) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 (*.f64 z x) y)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (.f64 z x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (.f64 z y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (.f64 z x) y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 y x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 y x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 z x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 z y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
(.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (.f64 z x) (.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 (neg.f64 x) y) (.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (.f64 (neg.f64 x) y) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 (.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (neg.f64 x) (.f64 (.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 (neg.f64 z) y) x))
(.f64 (neg.f64 z) (/.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) y) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 y x))
(.f64 (.f64 z y) (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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eval67.0ms (0.6%)

Memory: 24.5MiB live, 140.4MiB allocated
Compiler: Compiled 22 148 to 1 794 computations (91.9% saved)

prune200.0ms (1.7%)

Memory

-3.4MiB live, 157.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	557	12	569
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	558	12	570

Accuracy

93.5%

Counts

570 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.4%	(/.f64 (.f64 (.f64 x y) z) (/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 a t (.f64 z z))) (fma.f64 (neg.f64 a) t (.f64 z z)))) (sqrt.f64 (neg.f64 (fma.f64 a t (.f64 z z))))))
▶	33.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	64.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
▶	16.1%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	62.1%	(.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)
	61.9%	(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
▶	61.1%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
	58.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (.f64 z y))
	59.8%	(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	59.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
▶	70.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 462 to 280 computations (39.4% saved)

simplify479.0ms (4%)

Memory

-20.1MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
cost-diff	0	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
cost-diff	0	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
cost-diff	0	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Rules

1 624×	`lower-fma.f32`
1 622×	`lower-fma.f64`
1 484×	`lower-*.f32`
1 476×	`lower-*.f64`
880×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	256
0	59	256
1	104	256
2	175	256
3	260	256
4	329	256
5	363	256
6	539	256
7	720	256
8	1311	256
9	2730	256
10	4461	256
11	4953	256
12	5325	256
13	5969	256
14	6321	256
15	6429	256
16	7358	256
17	7718	256
18	7718	256
19	7718	256
20	7718	256
21	7776	256
22	7824	256
23	7844	256
24	7852	256
25	7852	256
26	7852	256
27	7956	256
0	8076	256

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 (.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(neg.f64 z)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
(*.f64 (neg.f64 t) a)
(neg.f64 t)
t
a
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 (.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(*.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
(/.f64 a z)
a
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
z
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
x
y

Outputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 (.f64 x y) z)
(.f64 (.f64 z x) y)
(*.f64 x y)
(*.f64 y x)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(neg.f64 z)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(.f64 (.f64 x y) z)
(.f64 (.f64 z x) y)
(*.f64 x y)
(*.f64 y x)
x
y
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 t) a)
(*.f64 (neg.f64 a) t)
(neg.f64 t)
t
a
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
(.f64 (.f64 x y) z)
(.f64 (.f64 z x) y)
(*.f64 x y)
(*.f64 y x)
x
y
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)
(*.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
(/.f64 a z)
a
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
(/.f64 (.f64 z x) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
z
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
x
y

localize383.0ms (3.2%)

Memory

16.0MiB live, 105.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	0.472583070780607	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
accuracy	4.368217518555629	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
accuracy	22.789610837346032	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	2.8534868559895417	(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy	4.611499170875585	(.f64 (.f64 x y) z)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
accuracy	21.848488151976788	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
accuracy	4.611499170875585	(.f64 (.f64 x y) z)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	22.789610837346032	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	38.21342453637669	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	0	(neg.f64 z)
accuracy	4.611499170875585	(.f64 (.f64 x y) z)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.139823724811556	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	19.204092398411415	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Samples

134.0ms

256×

valid

Compiler

Compiled 221 to 30 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 53.0ms (46.5% of total)

ival-mult: 51.0ms (44.7% of total)

ival-sqrt: 4.0ms (3.5% of total)

ival-neg: 3.0ms (2.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series269.0ms (2.2%)

Memory

-9.5MiB live, 108.4MiB allocated

Counts

17 → 696

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a))) (patch (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) y) (patch (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (patch (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) #<representation binary64>) () ())
#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)) (patch #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ())

Outputs
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor inf y) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 y x)) (patch #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) (taylor -inf z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) (taylor -inf z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) (taylor -inf z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ())) ())

Calls

174 calls:

Time	Variable		Point	Expression
201.0ms	t	@	inf	(* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y)
6.0ms	a	@	0	(+ (* (* -1/2 t) (/ a z)) z)
3.0ms	z	@	inf	(+ (* (* -1/2 t) (/ a z)) z)
1.0ms	x	@	0	(* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y)
1.0ms	z	@	0	(* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x)

simplify344.0ms (2.9%)

Memory

6.9MiB live, 509.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 700×	`lower-*.f64`
3 700×	`lower-*.f32`
3 522×	`lower-fma.f64`
3 522×	`lower-fma.f32`
2 262×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	18578
1	2598	18139
2	6917	18115
0	8420	17477

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 677

Calls

Call 1

Inputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2))))))
(* -1 x)
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4)))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2))))))
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2))))))
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))

Outputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 y x) z))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 (.f64 y x) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 (.f64 y x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))))) z)
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 y x) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (neg.f64 a) a) a) (.f64 (.f64 t t) t))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 (.f64 t a)) (.f64 (.f64 y (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))))) (*.f64 z z))) z)
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 t a))) (fma.f64 (.f64 (.f64 (.f64 z z) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (neg.f64 a) a) a) (.f64 (.f64 t t) t))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (neg.f64 a) a) a) (.f64 (.f64 t t) t))) y (/.f64 y (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (.f64 z z) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 y (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (.f64 z z) (.f64 (.f64 (.f64 y x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))))) z)
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 t t) (.f64 a a)) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) t) (.f64 (.f64 (.f64 (neg.f64 a) a) a) (.f64 (.f64 t t) t))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (.f64 y x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (*.f64 (neg.f64 y) x))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 t t) (.f64 a a)) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (*.f64 (neg.f64 y) x)))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) t) (.f64 (.f64 (.f64 (neg.f64 a) a) a) (.f64 (.f64 t t) t))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (.f64 (neg.f64 y) x)))
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(fma.f64 (fma.f64 (.f64 (.f64 a x) (/.f64 y (.f64 z z))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t x) (.f64 (.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal -1/2 binary64))) t (.f64 y x))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 t x) (.f64 (.f64 (fma.f64 (neg.f64 a) (/.f64 (.f64 a a) (pow.f64 z #s(literal 8 binary64))) (.f64 (.f64 (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64))) (.f64 z z)) y) (.f64 (.f64 (.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x))) t (/.f64 (.f64 (.f64 (.f64 a x) y) #s(literal 1/2 binary64)) (.f64 z z))) t (.f64 y x))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 (.f64 (.f64 (.f64 z z) z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))))) (.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64))))) (/.f64 (.f64 (.f64 y x) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) t) #s(literal -1/4 binary64)) (.f64 (*.f64 a a) a)) z (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 a #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) y) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* (sqrt (* a t)) (sqrt -1))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* -1 z)
(neg.f64 z)
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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z
(+ z (* -1/2 (/ (* a t) z)))
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(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 y x) t) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
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(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 t (.f64 (.f64 z z) z))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) z)) t z)
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t)
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
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(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
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(* x y)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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z
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(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 t (/.f64 a (*.f64 z z))) #s(literal 1/2 binary64) #s(literal -1 binary64))) z)
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 t (/.f64 a (*.f64 z z))) #s(literal 1/2 binary64) #s(literal -1 binary64))) z)
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 t (/.f64 a (*.f64 z z))) #s(literal 1/2 binary64) #s(literal -1 binary64))) z)

rewrite221.0ms (1.8%)

Memory

41.1MiB live, 368.2MiB allocated

Rules

4 846×	`lower-fma.f32`
4 844×	`lower-fma.f64`
3 088×	`lower-*.f32`
3 080×	`lower-*.f64`
1 499×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	195
0	59	195
1	183	195
2	1004	195
0	8851	195

Stop Event

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

Counts

17 → 467

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(*.f64 y x)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 (.f64 x y) z)
(*.f64 x y)
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(neg.f64 z)
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)

Outputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 z x)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 z y)) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 y x)) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z) (*.f64 y x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y) (*.f64 z x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (.f64 z x))) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)) (.f64 (.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 z y) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 (neg.f64 y) x) (.f64 z (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 (neg.f64 x) (.f64 (.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (*.f64 y x))
(.f64 (.f64 z x) (.f64 y (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 (.f64 z y) (.f64 x (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 y) (.f64 z x)) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (.f64 (.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z y) x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 (neg.f64 y) (.f64 z x)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 (.f64 (.f64 z y) x) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y x) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 z (.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 y x)))
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))))
(.f64 x (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 z y) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (neg.f64 y) (.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 z y) x)))
(/.f64 (.f64 (neg.f64 y) (.f64 z x)) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 z y) x))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) (.f64 z x)) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))))
(neg.f64 (/.f64 (.f64 (neg.f64 y) (.f64 z x)) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (/.f64 (.f64 (neg.f64 y) (.f64 z x)) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 y) (.f64 z x)) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)) (.f64 (.f64 z y) x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 y) x)) z)
(.f64 (neg.f64 (neg.f64 x)) (.f64 z y))
(.f64 (.f64 (neg.f64 y) x) (neg.f64 z))
(.f64 (neg.f64 x) (.f64 (neg.f64 z) y))
(.f64 (.f64 z x) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 z x) y)
(.f64 (.f64 z y) x)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (*.f64 z x)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 z y) x))
(.f64 (neg.f64 z) (.f64 (neg.f64 y) x))
(.f64 (.f64 (*.f64 z y) x) #s(literal 1 binary64))
(.f64 (.f64 y x) z)
(.f64 z (neg.f64 (.f64 (neg.f64 y) x)))
(.f64 z (.f64 y x))
(.f64 y (.f64 (*.f64 z x) #s(literal 1 binary64)))
(.f64 y (.f64 z x))
(.f64 x (.f64 (*.f64 z y) #s(literal 1 binary64)))
(.f64 x (neg.f64 (.f64 (neg.f64 z) y)))
(.f64 x (.f64 z y))
(neg.f64 (.f64 (neg.f64 y) (.f64 z x)))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (.f64 z x)))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
(.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))
(.f64 #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)) #s(literal 1 binary64))
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(literal -1 binary64))
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 z x)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 z y)) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y x)) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) z) (.f64 y x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) y) (.f64 z x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (.f64 z x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))) (.f64 (.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))) (.f64 (*.f64 z y) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 z y) x) (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 z x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 y (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 (.f64 z x) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 z y) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 x (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 (.f64 z y) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (.f64 (neg.f64 y) x) (.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 (neg.f64 x) (.f64 (.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y x))
(.f64 (.f64 z x) (.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 (.f64 z y) (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 y) (.f64 z x)) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 (*.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (.f64 (neg.f64 y) (.f64 z x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 (.f64 (.f64 z y) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 (.f64 y x) (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y x)))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 y (.f64 x (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 x (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))))
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))) (.f64 (*.f64 z y) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))) (.f64 (neg.f64 y) (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))) (.f64 (*.f64 z y) x)))
(/.f64 (.f64 (neg.f64 y) (.f64 z x)) (neg.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(/.f64 (.f64 y x) (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))) (.f64 (*.f64 z y) x))))
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(fma.f64 a (.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 #s(literal 1 binary64) z)) z)
(fma.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) z)
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(-.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 a a)) (.f64 z z)) (+.f64 z (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 a a)) (.f64 z z)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 a a)) (.f64 z z)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (neg.f64 (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) t) z) a) z)
(+.f64 z (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) t) z) a))

eval218.0ms (1.8%)

Memory: 2.3MiB live, 368.6MiB allocated
Compiler: Compiled 33 099 to 2 034 computations (93.9% saved)

prune278.0ms (2.3%)

Memory

1.7MiB live, 400.8MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 302	16	1 318
Fresh	6	1	7
Picked	2	3	5
Done	0	0	0
Total	1 310	20	1 330

Accuracy

93.5%

Counts

1 330 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.7%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	16.6%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
▶	58.6%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
✓	33.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	64.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) z)))
✓	64.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	19.7%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
	75.1%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
	33.4%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
▶	75.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
	32.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
	12.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
	61.6%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
▶	65.2%	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
	33.6%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
▶	12.8%	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
	33.6%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	54.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)) (.f64 (*.f64 z y) x))) #s(literal -1 binary64)))
✓	70.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 674 to 431 computations (36.1% saved)

simplify230.0ms (1.9%)

Memory

-29.7MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z))))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
cost-diff	0	(*.f64 z x)
cost-diff	0	(.f64 (.f64 z x) y)
cost-diff	0	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
cost-diff	0	(fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
cost-diff	0	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))
cost-diff	0	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))
cost-diff	0	(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)))
cost-diff	0	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x)
cost-diff	0	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)

Rules

8 481×	`lower-fma.f32`
8 478×	`lower-fma.f64`
1 368×	`lower-*.f32`
1 354×	`lower-*.f64`
995×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	398
0	79	395
1	138	395
2	248	395
3	397	395
4	513	395
5	555	395
6	783	395
7	1142	395
8	2292	395
9	3801	395
10	5115	395
11	5516	395
12	5875	395
13	6543	395
14	6912	395
15	7852	395
0	8161	395

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x)
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)))
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)
(*.f64 (/.f64 a z) #s(literal -1/2 binary64))
(/.f64 a z)
a
#s(literal -1/2 binary64)
t
x
y
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
z
(/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))
(*.f64 y x)
y
x
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(neg.f64 z)
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 t (/.f64 a (.f64 z z)))
t
(/.f64 a (*.f64 z z))
a
(*.f64 z z)
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
y
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 z x) y)
(*.f64 z x)
z
x
y
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
(*.f64 (neg.f64 t) a)
(neg.f64 t)
t
a
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(.f64 (.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z))))
#s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(neg.f64 t)
t
a
(*.f64 z z)

Outputs
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(/.f64 (.f64 (.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x)
(/.f64 (.f64 x z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
z
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z))
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)
(*.f64 (/.f64 a z) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) z) a)
(/.f64 a z)
a
#s(literal -1/2 binary64)
t
x
y
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
z
(/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))
(*.f64 y x)
y
x
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(neg.f64 z)
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 (.f64 y x) #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 a t) #s(literal 1 binary64))))
(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 a t) #s(literal 1 binary64))) x)
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 a t) #s(literal 1 binary64)))
(fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 a t) #s(literal 1 binary64))
(.f64 t (/.f64 a (.f64 z z)))
(.f64 (/.f64 t (.f64 z z)) a)
t
(/.f64 a (*.f64 z z))
a
(*.f64 z z)
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
y
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
(.f64 (.f64 z x) y)
(.f64 (.f64 y z) x)
(*.f64 z x)
(*.f64 x z)
z
x
y
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(*.f64 (neg.f64 t) a)
(*.f64 (neg.f64 a) t)
(neg.f64 t)
t
a
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(.f64 (.f64 x y) z)
(.f64 (.f64 y z) x)
(*.f64 x y)
(*.f64 y x)
x
y
z
(sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z))))
#s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(neg.f64 t)
t
a
(*.f64 z z)

localize129.0ms (1.1%)

Memory

4.0MiB live, 198.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (neg.f64 t) a (*.f64 z z))
accuracy	4.611499170875584	(.f64 (.f64 x y) z)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
accuracy	22.789610837346032	(sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z))))
accuracy	3.512837811020436	(.f64 (.f64 z x) y)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	22.789610837346032	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	38.21342453637669	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	4.368217518555629	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
accuracy	7.1142887803786845	(.f64 t (/.f64 a (.f64 z z)))
accuracy	7.819996101118643	(/.f64 a (*.f64 z z))
accuracy	22.88227956189769	#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(neg.f64 z)
accuracy	5.831471738559733	(/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))
accuracy	7.273719233788014	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
accuracy	63.139823724811556	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.472583070780607	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x)
accuracy	2.8534868559895417	(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)
accuracy	4.368217518555629	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
accuracy	21.848488151976788	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))

Samples

85.0ms

256×

valid

Compiler

Compiled 286 to 45 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 32.0ms (56.9% of total)

ival-div: 12.0ms (21.3% of total)

ival-add: 4.0ms (7.1% of total)

ival-sqrt: 4.0ms (7.1% of total)

ival-neg: 3.0ms (5.3% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (0.8%)

Memory

-7.1MiB live, 110.6MiB allocated

Counts

26 → 1 032

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) (patch (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) #<representation binary64>) () ())
#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (patch (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)) (patch #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)) #<representation binary64>) () ())
#s(alt (.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (patch (/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) (patch (.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) (patch (.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)))) (patch (/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z x) y) (patch (.f64 (.f64 z x) y) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a))) (patch (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (.f64 z z))))) (patch (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- ( z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (.f64 z z)))) (patch (sqrt.f64 #s(approx (- ( z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) (patch (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 a (.f64 z z)) (patch (/.f64 a (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 t (/.f64 a (.f64 z z))) (patch (.f64 t (/.f64 a (.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)) (patch #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) (taylor -inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) (taylor -inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) (taylor -inf z) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) (taylor inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor -inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor -inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor -inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor -inf t) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a t)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 t) a (.f64 z z)) (patch (fma.f64 (neg.f64 t) a (.f64 z z)) #<representation binary64>) () ())) ())

Calls

258 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(/ (* y x) (sqrt (- (* z z) (* t a))))
2.0ms	a	@	-inf	(* (* (/ z (sqrt (- (* z z) (* t a)))) x) y)
1.0ms	t	@	inf	(/ (* y x) (sqrt (- (* z z) (* t a))))
1.0ms	t	@	-inf	(/ (* y x) (sqrt (- (* z z) (* t a))))
1.0ms	a	@	-inf	(/ (* y x) (sqrt (- (* z z) (* t a))))

simplify714.0ms (5.9%)

Memory

-0.2MiB live, 470.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 932×	`lower-fma.f64`
3 932×	`lower-fma.f32`
3 766×	`lower-*.f64`
3 766×	`lower-*.f32`
2 643×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	926	24923
1	3070	24278
0	8122	23465

Stop Event

1×	iter limit
1×	node limit

Counts

1 032 → 1 010

Calls

Call 1

Inputs
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2))))))
(* -1 x)
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4)))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2))))))
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2))))))
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))
(/ (* x y) z)
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z)
(* -1 (/ (* x y) z))
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 4) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2))))))
(* -1 x)
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4)))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2))))))
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2))))))
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(* 1/2 (/ (* a t) (pow z 2)))
(* t (+ (* 1/2 (/ a (pow z 2))) (/ 1 t)))
(* t (+ (* 1/2 (/ a (pow z 2))) (/ 1 t)))
(* t (+ (* 1/2 (/ a (pow z 2))) (/ 1 t)))
(* 1/2 (/ (* a t) (pow z 2)))
(* -1 (* t (- (* -1/2 (/ a (pow z 2))) (/ 1 t))))
(* -1 (* t (- (* -1/2 (/ a (pow z 2))) (/ 1 t))))
(* -1 (* t (- (* -1/2 (/ a (pow z 2))) (/ 1 t))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(* 1/2 (/ (* a t) (pow z 2)))
(* a (+ (* 1/2 (/ t (pow z 2))) (/ 1 a)))
(* a (+ (* 1/2 (/ t (pow z 2))) (/ 1 a)))
(* a (+ (* 1/2 (/ t (pow z 2))) (/ 1 a)))
(* 1/2 (/ (* a t) (pow z 2)))
(* -1 (* a (- (* -1/2 (/ t (pow z 2))) (/ 1 a))))
(* -1 (* a (- (* -1/2 (/ t (pow z 2))) (/ 1 a))))
(* -1 (* a (- (* -1/2 (/ t (pow z 2))) (/ 1 a))))
(* 1/2 (/ (* a t) (pow z 2)))
(/ (+ (* 1/2 (* a t)) (pow z 2)) (pow z 2))
(/ (+ (* 1/2 (* a t)) (pow z 2)) (pow z 2))
(/ (+ (* 1/2 (* a t)) (pow z 2)) (pow z 2))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ a (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(/ (* a t) (pow z 2))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (+ (* -1 a) (/ (pow z 2) t)))
(* t (+ (* -1 a) (/ (pow z 2) t)))
(* t (+ (* -1 a) (/ (pow z 2) t)))
(* -1 (* a t))
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (+ (* -1 t) (/ (pow z 2) a)))
(* a (+ (* -1 t) (/ (pow z 2) a)))
(* a (+ (* -1 t) (/ (pow z 2) a)))
(* -1 (* a t))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(* -1 (* a t))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))

Outputs
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 (.f64 (.f64 z z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))))) z)
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 y (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (.f64 (.f64 y x) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (.f64 (.f64 a a) a)) (.f64 (.f64 t t) t))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 (.f64 t a))))) (*.f64 z z))) z)
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 t a))) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (.f64 (.f64 a a) a)) (.f64 (.f64 t t) t))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (neg.f64 a) t)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (.f64 z z)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (.f64 (.f64 a a) a)) (.f64 (.f64 t t) t))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (.f64 z z) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 y (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (.f64 z z) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) z)
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 t t) (.f64 a a)) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) t) (.f64 (neg.f64 (.f64 (.f64 a a) a)) (.f64 (.f64 t t) t))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (.f64 y x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 t t) (.f64 a a)) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y)))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(fma.f64 (neg.f64 y) x (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 (.f64 (.f64 t t) (.f64 a a)) #s(literal -3/4 binary64)) t) (.f64 (neg.f64 (.f64 (.f64 a a) a)) (.f64 (.f64 t t) t))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64))))
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) t) (.f64 (.f64 (.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x) (/.f64 (.f64 (.f64 (.f64 x a) y) #s(literal 1/2 binary64)) (.f64 z z))) t (.f64 y x))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x t) (.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (.f64 (.f64 a a) a)) (pow.f64 z #s(literal 8 binary64))))) (.f64 (.f64 (.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x))) t (/.f64 (.f64 (.f64 (.f64 x a) y) #s(literal 1/2 binary64)) (.f64 z z))) t (.f64 y x))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (.f64 (.f64 (.f64 (.f64 z z) z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))
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(* (sqrt (* a t)) (sqrt -1))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* -1 z)
(neg.f64 z)
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 t t) a)) (.f64 (*.f64 z z) z))) a z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (.f64 (.f64 t (/.f64 t (.f64 (.f64 z z) z))) #s(literal -1/8 binary64))) a (.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
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(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
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z
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z
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(* (sqrt (* a t)) (sqrt -1))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
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(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
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(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
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(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 t t) (.f64 a a)) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y))
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(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 t t) (.f64 a a)) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y)))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
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(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 (.f64 (.f64 x t) y) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (.f64 y x) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* -1 z)
(neg.f64 z)
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(* (sqrt (* a t)) (sqrt -1))
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(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 t t) a)) (.f64 (*.f64 z z) z))) a z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (.f64 (.f64 t (/.f64 t (.f64 (.f64 z z) z))) #s(literal -1/8 binary64))) a (.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64)))))) (.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(* -1/2 (/ (* a t) z))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a)
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a)
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a)
(* -1/2 (/ (* a t) z))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(.f64 (neg.f64 a) (-.f64 (.f64 (/.f64 t z) #s(literal 1/2 binary64)) (/.f64 z a)))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(.f64 (neg.f64 a) (-.f64 (.f64 (/.f64 t z) #s(literal 1/2 binary64)) (/.f64 z a)))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(.f64 (neg.f64 a) (-.f64 (.f64 (/.f64 t z) #s(literal 1/2 binary64)) (/.f64 z a)))
(* -1/2 (/ (* a t) z))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) t (.f64 z z)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) t (.f64 z z)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) t (.f64 z z)) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z)
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
(* -1/2 (/ (* a t) z))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t)
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t)
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t)
(* -1/2 (/ (* a t) z))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 a z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t)))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 a z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t)))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 a z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t)))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ a (pow z 2))
(/.f64 a (*.f64 z z))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(- (pow z 2) (* a t))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* t (- (/ (pow z 2) t) a))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* t (- (/ (pow z 2) t) a))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* t (- (/ (pow z 2) t) a))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (-.f64 a (.f64 z (/.f64 z t))) (neg.f64 t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (-.f64 a (.f64 z (/.f64 z t))) (neg.f64 t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (-.f64 a (.f64 z (/.f64 z t))) (neg.f64 t))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* a (- (/ (pow z 2) a) t))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* a (- (/ (pow z 2) a) t))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* a (- (/ (pow z 2) a) t))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (-.f64 t (.f64 z (/.f64 z a))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (-.f64 t (.f64 z (/.f64 z a))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (-.f64 t (.f64 z (/.f64 z a))) (neg.f64 a))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* t (+ (* -1 a) (/ (pow z 2) t)))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* t (+ (* -1 a) (/ (pow z 2) t)))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* t (+ (* -1 a) (/ (pow z 2) t)))
(*.f64 (fma.f64 z (/.f64 z t) (neg.f64 a)) t)
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(.f64 (-.f64 a (.f64 z (/.f64 z t))) (neg.f64 t))
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(.f64 (-.f64 a (.f64 z (/.f64 z t))) (neg.f64 t))
(* -1 (* t (+ a (* -1 (/ (pow z 2) t)))))
(.f64 (-.f64 a (.f64 z (/.f64 z t))) (neg.f64 t))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* a (+ (* -1 t) (/ (pow z 2) a)))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* a (+ (* -1 t) (/ (pow z 2) a)))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* a (+ (* -1 t) (/ (pow z 2) a)))
(*.f64 (fma.f64 z (/.f64 z a) (neg.f64 t)) a)
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(.f64 (-.f64 t (.f64 z (/.f64 z a))) (neg.f64 a))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(.f64 (-.f64 t (.f64 z (/.f64 z a))) (neg.f64 a))
(* -1 (* a (+ t (* -1 (/ (pow z 2) a)))))
(.f64 (-.f64 t (.f64 z (/.f64 z a))) (neg.f64 a))
(* -1 (* a t))
(*.f64 (neg.f64 a) t)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 t (.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))

rewrite248.0ms (2.1%)

Memory

42.9MiB live, 376.2MiB allocated

Rules

2 555×	`lower-fma.f32`
2 552×	`lower-fma.f64`
2 445×	`lower-*.f32`
2 431×	`lower-*.f64`
1 915×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	335
0	79	332
1	254	332
2	1320	332
0	8511	332

Stop Event

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

Counts

26 → 638

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x)
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 y x) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z)))
(*.f64 y x)
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 z x) y)
(*.f64 z x)
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(.f64 (.f64 x y) z)
(*.f64 x y)
(sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z))))
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)
(neg.f64 z)
(/.f64 a (*.f64 z z))
(.f64 t (/.f64 a (.f64 z z)))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
(fma.f64 (neg.f64 t) a (*.f64 z z))

Outputs
(.f64 (/.f64 (.f64 (neg.f64 z) x) #s(literal -1 binary64)) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 y (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) x)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (.f64 (neg.f64 z) y) x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 (.f64 x z) y) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 y x) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 y (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y)
(.f64 x (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 y x))
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 y x)))
(/.f64 (.f64 (.f64 (neg.f64 z) y) x) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 (.f64 (neg.f64 y) x) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)))
(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 (*.f64 (neg.f64 z) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 x z) y)))
(/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(/.f64 y (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x z)))
(neg.f64 (.f64 (.f64 y x) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(neg.f64 (.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x z) y) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z)
(.f64 (.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x)
(.f64 z (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 z) x)) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 (.f64 (neg.f64 z) x) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x z))))
(/.f64 (.f64 x z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x z)))
(/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(neg.f64 (.f64 x (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(neg.f64 (.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x))
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal -1/2 binary64)))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z)
(.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 z (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 z z) z)) #s(literal 1 binary64)) (.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)) (.f64 z (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z)) (.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(/.f64 (neg.f64 z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(neg.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal 1 binary64))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(/.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 (.f64 (neg.f64 z) x) #s(literal -1 binary64)) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
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(fma.f64 t (neg.f64 a) (*.f64 z z))
(fma.f64 z z (*.f64 (neg.f64 t) a))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 z z) (fma.f64 a t (.f64 z z)) (.f64 (.f64 (.f64 a t) a) t))) (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 t t) t)) (fma.f64 (.f64 z z) (fma.f64 a t (.f64 z z)) (.f64 (.f64 (.f64 a t) a) t))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 a t (.f64 z z))) (/.f64 (.f64 (.f64 (.f64 a t) a) t) (fma.f64 a t (.f64 z z))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a t) a) t) (fma.f64 (neg.f64 t) a (.f64 (neg.f64 z) z))) (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 t) a (.f64 (neg.f64 z) z))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 a t) (fma.f64 a t (.f64 z z)) (.f64 (.f64 (.f64 z z) z) z))) (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 t t) t)) (fma.f64 (.f64 a t) (fma.f64 a t (.f64 z z)) (.f64 (.f64 (.f64 z z) z) z))))
(-.f64 (.f64 z z) (.f64 a t))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 a t (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 a t) a) t) (fma.f64 a t (.f64 z z)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a t) a) t) (fma.f64 (neg.f64 t) a (.f64 (neg.f64 z) z))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 t) a (.f64 (neg.f64 z) z)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 a t) (fma.f64 a t (.f64 z z)) (.f64 (.f64 (.f64 z z) z) z))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 t t) t)) (fma.f64 (.f64 a t) (fma.f64 a t (.f64 z z)) (.f64 (.f64 (.f64 z z) z) z)))))
(+.f64 (.f64 (neg.f64 t) a) (.f64 z z))
(+.f64 (.f64 z z) (.f64 (neg.f64 t) a))

eval317.0ms (2.6%)

Memory: 15.2MiB live, 485.1MiB allocated
Compiler: Compiled 46 345 to 3 149 computations (93.2% saved)

prune487.0ms (4.1%)

Memory

-32.3MiB live, 662.6MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 642	6	1 648
Fresh	2	10	12
Picked	2	3	5
Done	0	3	3
Total	1 646	22	1 668

Accuracy

93.5%

Counts

1 668 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.7%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
▶	35.9%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	16.6%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
✓	58.6%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
✓	33.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	64.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) z)))
✓	64.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	19.7%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
	75.1%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
	33.4%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
▶	17.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
	32.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
▶	61.6%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
▶	75.1%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
✓	65.2%	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
	12.4%	(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
	33.6%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
▶	61.6%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
	33.6%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	54.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)) (.f64 (*.f64 z y) x))) #s(literal -1 binary64)))
✓	70.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 691 to 441 computations (36.2% saved)

simplify417.0ms (3.5%)

Memory

11.7MiB live, 227.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
cost-diff	0	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))
cost-diff	0	(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))))
cost-diff	0	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x)
cost-diff	0	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
cost-diff	0	(*.f64 z x)
cost-diff	0	(.f64 (.f64 z x) y)
cost-diff	0	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) z)
cost-diff	0	#s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z))
cost-diff	0	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x)
cost-diff	0	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
cost-diff	192	(.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))
cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)))

Rules

13 522×	`lower-fma.f32`
13 520×	`lower-fma.f64`
1 594×	`lower-*.f32`
1 578×	`lower-*.f64`
1 360×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	510
0	85	499
1	151	492
2	239	490
3	437	486
4	603	486
5	866	486
6	966	486
7	1092	486
8	1640	486
9	3799	486
10	5498	486
11	5998	486
12	6255	486
13	6333	486
14	6361	486
15	6404	486
16	6530	486
17	6902	486
18	6992	486
19	6998	486
20	7004	486
21	7016	486
22	7064	486
23	7064	486
0	8238	486

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)))
(.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(*.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
(/.f64 a z)
a
z
#s(literal -1 binary64)
x
y
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
z
#s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z))
(/.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 z x) y)
(*.f64 z x)
z
x
y
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
#s(approx (- (* z z) (* t a)) (*.f64 z z))
(*.f64 z z)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x)
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))))
z
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))
#s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(/.f64 (*.f64 #s(literal -1/2 binary64) a) z)
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
t
x
y
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
z
y
x

Outputs
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
(/.f64 (.f64 (.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x)
(/.f64 (.f64 x z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)))
(.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)) z)))
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)) z))
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)) z)
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (*.f64 a t) z)
(*.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
(/.f64 a z)
a
z
#s(literal -1 binary64)
x
y
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 y z) x)) z)
z
#s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z))
#s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 y z) x))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y x)
y
x
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 z x) y)
(.f64 (.f64 y z) x)
(*.f64 z x)
(*.f64 x z)
z
x
y
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
#s(approx (- (* z z) (* t a)) (*.f64 z z))
(*.f64 z z)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) t) a))))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x)
(/.f64 (.f64 x z) #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) t) a))))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) t) a))))
z
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) t) a)))
#s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))
#s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) t) a))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) t) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) a) z)
(*.f64 (/.f64 #s(literal -1/2 binary64) z) a)
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
t
x
y
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
(/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(fma.f64 (neg.f64 t) a (*.f64 z z))
(neg.f64 a)
a
t
(*.f64 z z)
z
y
x

localize295.0ms (2.5%)

Memory

31.7MiB live, 514.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.296875	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
accuracy	1.8779687037140667	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
accuracy	7.273719233788014	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
accuracy	22.789610837346032	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	4.368217518555629	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
accuracy	5.86583838005813	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
accuracy	21.848488151976788	#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))
accuracy	40.3357429045864	#s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))
accuracy	3.512837811020436	(.f64 (.f64 z x) y)
accuracy	8.64650974956664	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	20.81496866144239	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	22.789610837346032	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0	(*.f64 y x)
accuracy	5.536046226059073	(/.f64 (*.f64 y x) z)
accuracy	7.273719233788014	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
accuracy	19.866739622958505	#s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z))
accuracy	2.8534868559895417	(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy	4.368217518555629	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
accuracy	21.848488151976788	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
accuracy	24.417522317530025	(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))

Samples

159.0ms	105×	2	valid
36.0ms	95×	0	valid
32.0ms	56×	1	valid

Compiler

Compiled 352 to 48 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 71.0ms (39.9% of total)

ival-log: 30.0ms (16.9% of total)

adjust: 29.0ms (16.3% of total)

ival-div: 19.0ms (10.7% of total)

ival-sub: 10.0ms (5.6% of total)

ival-sqrt: 9.0ms (5.1% of total)

ival-exp: 4.0ms (2.2% of total)

ival-add: 3.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series169.0ms (1.4%)

Memory

-17.6MiB live, 327.2MiB allocated

Counts

27 → 1 152

Calls

Call 1

Inputs
#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y) (patch (.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) (patch (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 y x) z))) (patch (.f64 z #s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 y x) z)) (patch #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) z) (patch (/.f64 (.f64 y x) z) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (patch (/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z x) y) (patch (.f64 (.f64 z x) y) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z))) (patch (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y) (patch (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) (patch (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) #<representation binary64>) () ())
#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) (patch (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))) (patch #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z) (patch (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) (patch (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* z z) (* t a)) (.f64 z z)) (patch #s(approx (- ( z z) (* t a)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)) (patch #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) (taylor 0 z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) (taylor 0 z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) (taylor 0 z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) (taylor 0 z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) (taylor inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) (taylor inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (* a t) (pow z 2))) 1) (taylor -inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) (taylor -inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) (taylor -inf z) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) (taylor 0 t) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) (taylor 0 t) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf a) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf a) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf z) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) z)) (taylor -inf t) (#s(alt (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (patch (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a t)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) (taylor 0 t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) (taylor 0 t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) (taylor inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) (taylor inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) (taylor inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a t)) (sqrt -1))) (taylor -inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) (taylor -inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) (taylor -inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) (taylor -inf t) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) (taylor inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) (taylor inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) (taylor -inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) (taylor -inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) (taylor -inf z) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #<representation binary64>) () ())) ())

Calls

288 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	(* (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) x)
11.0ms	a	@	-inf	(log (/ (sqrt (- (* z z) (* t a))) z))
4.0ms	z	@	inf	(* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)
4.0ms	z	@	0	(* z (/ (* y x) (sqrt (- (* z z) (* t a)))))
2.0ms	t	@	inf	(* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)

simplify609.0ms (5.1%)

Memory

9.1MiB live, 618.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 907×	`lower-*.f64`
4 907×	`lower-*.f32`
4 056×	`lower-fma.f64`
4 056×	`lower-fma.f32`
2 929×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1459	31910
1	4781	31267
0	9177	30220

Stop Event

1×	iter limit
1×	node limit

Counts

1 152 → 1 126

Calls

Call 1

Inputs
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z))))
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))
(* 1/2 (/ (* a t) (pow z 2)))
(/ (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2))
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2))
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* -1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2))
(* -1 (log -1))
(+ (* -1 (log -1)) (* 1/2 (/ (* a t) (pow z 2))))
(+ (* -1 (log -1)) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ (* -1 (log -1)) (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))))
(* 1/2 (/ (* a t) (pow z 2)))
(* t (+ (* 1/4 (/ (* (pow a 2) t) (pow z 4))) (* 1/2 (/ a (pow z 2)))))
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))) (* 1/4 (/ (pow a 2) (pow z 4)))))))
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* -1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))) (* -1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8))))))))))))))
(* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t)))))
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (+ (* 30 (/ (* (pow t 3) (pow z 6)) (* (pow a 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow t 3) (pow z 6)) (* (pow a 3) (pow (sqrt -1) 6))))) (pow t 6))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))))
(* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ -1 t)))))
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ -1 t))))) (* 1/2 (/ (pow z 2) (* a t))))
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ -1 t))))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t)))))
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ -1 t))))) (+ (* -1/720 (/ (+ (* -90 (/ (* (pow t 3) (pow z 6)) (pow a 3))) (* -30 (/ (* (pow t 3) (pow z 6)) (pow a 3)))) (pow t 6))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t))))))
(* 1/2 (/ (* a t) (pow z 2)))
(* a (+ (* 1/4 (/ (* a (pow t 2)) (pow z 4))) (* 1/2 (/ t (pow z 2)))))
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))) (* 1/4 (/ (pow t 2) (pow z 4)))))))
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* -1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))) (* -1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8))))))))))))))
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a)))))
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))))
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))))
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (* 1/2 (/ (pow z 2) (* a t))))
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t)))))
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* -1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2))))))
(* -1 x)
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4)))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2))))))
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2))))))
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))
(/ (* x y) z)
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z)
(* -1 (/ (* x y) z))
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
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(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2))))))
(* -1 x)
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4)))))
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2))))))
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
x
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2))))
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2))))))
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2))))))
-1
(- (* -1/2 (/ (* a t) (pow z 2))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1)
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1)
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2))))))
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
1
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(/ y z)
(+ (* 1/2 (/ (* a (* t y)) (pow z 3))) (/ y z))
(+ (* a (+ (* -1/2 (* a (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 3))))) (/ y z))
(+ (* a (+ (* 1/2 (/ (* t y) (pow z 3))) (* a (+ (* -1/2 (* a (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ y z))
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))
(/ y z)
(+ (* 1/2 (/ (* a (* t y)) (pow z 3))) (/ y z))
(+ (* t (+ (* -1/2 (* t (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (* a y) (pow z 3))) (* t (+ (* -1/2 (* t (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ y z))
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))
(+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))
(/ y z)
(/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z)
(/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) z)
(/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z))
(* -1 (/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) z))
(* -1 (/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) z))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
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(/ (* x y) z)
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z)
(/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) z)
(* -1 (/ (* x y) z))
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z))
(* -1 (/ (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) z))
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(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
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(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ 1 z)
(+ (* 1/2 (/ (* a t) (pow z 3))) (/ 1 z))
(+ (* a (+ (* -1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))
(+ (* a (+ (* 1/2 (/ t (pow z 3))) (* a (+ (* -1/2 (* a (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z))
(* (sqrt (/ 1 (* a t))) (sqrt -1))
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(* (sqrt (/ 1 (* a t))) (sqrt -1))
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(/ 1 z)
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(* (sqrt (/ 1 (* a t))) (sqrt -1))
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(* (sqrt (/ 1 (* a t))) (sqrt -1))
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(* (sqrt (/ 1 (* a t))) (sqrt -1))
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(/ 1 z)
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) z)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) z))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z))
(+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))
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(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* (pow z 2) (- (* 1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))))
(* -1/2 (/ (* a t) (pow z 2)))
(/ (+ (* -1/2 (* a t)) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2)))) (pow z 2))
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))))) (pow z 2))
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (+ (* 1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4)))))) (pow z 2))
(log -1)
(+ (log -1) (* -1/2 (/ (* a t) (pow z 2))))
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6))))))
(* -1/2 (/ (* a t) (pow z 2)))
(* t (+ (* -1/2 (/ a (pow z 2))) (* -1/4 (/ (* (pow a 2) t) (pow z 4)))))
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* 1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))))))))
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* 1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))))))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 t))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (+ (* 1/720 (/ (+ (* 30 (/ (* (pow t 3) (pow z 6)) (* (pow a 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow t 3) (pow z 6)) (* (pow a 3) (pow (sqrt -1) 6))))) (pow t 6))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ -1 t))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 t))) (* -1/2 (/ (pow z 2) (* a t)))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 t))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))))))
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 t))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow t 3) (pow z 6)) (pow a 3))) (* -30 (/ (* (pow t 3) (pow z 6)) (pow a 3)))) (pow t 6)))))))
(* -1/2 (/ (* a t) (pow z 2)))
(* a (+ (* -1/2 (/ t (pow z 2))) (* -1/4 (/ (* a (pow t 2)) (pow z 4)))))
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* 1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))))))))
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* 1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))))))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (+ (* 1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (* -1/2 (/ (pow z 2) (* a t)))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))))))
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
(* -1/2 (/ (* a t) z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))

Outputs
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))))) z)
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (.f64 (.f64 t t) t)) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 z z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) z)
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
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(* -1 z)
(neg.f64 z)
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) a) (.f64 (.f64 z z) z)) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) x) (.f64 (*.f64 y z) (sqrt.f64 #s(literal -1 binary64))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 y (.f64 z z)) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))))) z)
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
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(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x t) y) a) (.f64 z z)) #s(literal 1/2 binary64) (*.f64 y x))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
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(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
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#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z)) (.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a (.f64 z z)) (fma.f64 (.f64 t (/.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (.f64 (.f64 t t) t)) (pow.f64 z #s(literal 8 binary64)))) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z)))) a (.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 z z) z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (/.f64 (.f64 (.f64 z z) z) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) z) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 z z) z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64))))) (.f64 z (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) a) (.f64 (.f64 t t) t)) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a)))))))
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(-.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 t a)) z) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) a) (.f64 (.f64 t t) t)) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (.f64 a a) a)))
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (/.f64 (.f64 z z) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 z z) (.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (.f64 z z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 z z) (.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64))) z z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(fma.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (*.f64 a a) a)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/16 binary64)))) z z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64))) z z))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(neg.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (*.f64 a a) a)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/16 binary64)))) z z))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 t (.f64 (.f64 z z) z))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 (.f64 z z) z))) t (.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t)
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t)
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))) t)
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t)
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(.f64 (neg.f64 t) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(.f64 (neg.f64 t) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) a) (.f64 (.f64 z z) z)) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (.f64 t t) t) (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 t t)) (.f64 (.f64 z z) z))) a (.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a)
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(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* -1 z)
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) a) (.f64 (.f64 z z) z)) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (.f64 t t) t) (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 t t)) (.f64 (.f64 z z) z))) a (.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 t t) t))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) t)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a)
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(* -1/2 (/ (* a t) z))
(.f64 (.f64 a (/.f64 t z)) #s(literal -1/2 binary64))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t)
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t)
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t)
(* -1/2 (/ (* a t) z))
(.f64 (.f64 a (/.f64 t z)) #s(literal -1/2 binary64))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 a z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t)))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 a z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t)))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 a z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t)))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z)
(* -1/2 (/ (* a t) z))
(.f64 (.f64 a (/.f64 t z)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a)
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a)
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a)
(* -1/2 (/ (* a t) z))
(.f64 (.f64 a (/.f64 t z)) #s(literal -1/2 binary64))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)))
(* -1/2 (/ (* a t) z))
(.f64 (.f64 a (/.f64 t z)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) t (.f64 z z)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) t (.f64 z z)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) t (.f64 z z)) z)
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
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(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t)
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t)
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))) t)
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 t a)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t)
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(.f64 (neg.f64 t) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(.f64 (neg.f64 t) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (.f64 (.f64 a a) a))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) a)))) (.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))))
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a)))) (/.f64 (.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a))))) (/.f64 (.f64 z z) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 z z) (.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (.f64 z z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 a a) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 z z) (.f64 (sqrt.f64 (.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64))) z z)
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(fma.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (*.f64 a a) a)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/16 binary64)))) z z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64))) z z))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
(neg.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 a a)) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (*.f64 a a) a)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/16 binary64)))) z z))

rewrite521.0ms (4.3%)

Memory

2.6MiB live, 456.5MiB allocated

Rules

5 319×	`lower-fma.f32`
5 317×	`lower-fma.f64`
3 235×	`lower-*.f32`
3 219×	`lower-*.f64`
1 284×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	437
0	85	426
1	257	412
2	1200	411
0	8288	411

Stop Event

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

Counts

27 → 673

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)))
(.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x)
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
#s(approx (/ (* y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z))
(/.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 z x) y)
(*.f64 z x)
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x)
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))))
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
#s(approx (- (* z z) (* t a)) (*.f64 z z))
#s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)) #s(literal 2 binary64))))
(.f64 (pow.f64 (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z))))
(.f64 (pow.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) z)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 1 binary64))
(.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))
(.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))
(.f64 z (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))
(pow.f64 (.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)))
(pow.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)))
(/.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal -1 binary64))
(/.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 1 binary64))
(/.f64 (neg.f64 z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) (neg.f64 z)))
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))
(neg.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (/.f64 (neg.f64 z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z))))
(exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)))
(.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z)) #s(literal -1 binary64))
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(.f64 (neg.f64 a) (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) t)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) z) a) t)
(.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z))
(.f64 (.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) z) t))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))
(.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t))
(.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 a z) t))
(.f64 (.f64 a t) (/.f64 #s(literal -1/2 binary64) z))
(.f64 (.f64 a t) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t))
(.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 t z)))
(.f64 a (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) t)))
(.f64 a (.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 #s(literal 1 binary64) z)))
(.f64 a (.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) t) #s(literal -1/2 binary64)))
(.f64 t (.f64 (/.f64 #s(literal -1/2 binary64) z) a))
(pow.f64 (/.f64 z (.f64 (.f64 #s(literal -1/2 binary64) a) t)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) t)) z)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) t)) (/.f64 (neg.f64 z) a))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) t) (neg.f64 z))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) t) z)
(/.f64 (neg.f64 t) (/.f64 z (*.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (.f64 (.f64 #s(literal -1/2 binary64) a) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z a) (*.f64 #s(literal -1/2 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 z a)) t))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal -1/2 binary64) a) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (.f64 (.f64 #s(literal -1/2 binary64) a) t))))
(/.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 z a))
(/.f64 t (*.f64 #s(literal -2 binary64) (/.f64 z a)))
(neg.f64 (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 t) a (.f64 z z)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 t) a (.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 t) a (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 t) a (.f64 z z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 t) a (.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a t (*.f64 z z)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 t) a (.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a t (*.f64 z z))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 a t (.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a t (.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a t (.f64 z z)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (*.f64 z z)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (*.f64 z z)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (*.f64 z z))))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z)))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 t) a (.f64 z z)) (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 t) a (.f64 z z))))) (neg.f64 (sqrt.f64 (fma.f64 a t (.f64 z z)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (.f64 z z))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 a t (*.f64 z z))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (.f64 z z)))))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 a t (.f64 z z))) (fma.f64 (neg.f64 t) a (.f64 z z)))) (sqrt.f64 (neg.f64 (fma.f64 a t (.f64 z z)))))
(/.f64 (sqrt.f64 (neg.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (.f64 z z))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 a t (*.f64 z z))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (.f64 z z)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 t) a (.f64 z z)))) (sqrt.f64 (fma.f64 a t (.f64 z z))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (.f64 z z)))) (sqrt.f64 (neg.f64 (fma.f64 a t (*.f64 z z)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z))) (sqrt.f64 (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (.f64 z z))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a t (.f64 z z))) (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 t) a (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 a t (.f64 z z)))) (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (-.f64 (.f64 a t) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 a a) (.f64 t t) (.f64 (.f64 z z) (fma.f64 a t (.f64 z z))))) (sqrt.f64 (fma.f64 (.f64 (.f64 a t) (.f64 (.f64 a a) t)) t (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (neg.f64 t) a (.f64 z z))) #s(literal 1/2 binary64)))

eval245.0ms (2%)

Memory: -2.9MiB live, 454.6MiB allocated
Compiler: Compiled 51 630 to 4 552 computations (91.2% saved)

prune482.0ms (4%)

Memory

-33.6MiB live, 796.8MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	1 776	23	1 799
Fresh	5	6	11
Picked	2	3	5
Done	0	6	6
Total	1 783	38	1 821

Accuracy

93.5%

Counts

1 821 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.6%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
✓	30.7%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	16.6%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
✓	58.6%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
✓	33.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
✓	64.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	75.1%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (.f64 y x))
	39.0%	(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
	75.1%	(.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z))) x) y)
	75.1%	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))) x) y)
	33.4%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
✓	17.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
	17.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (*.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))) x) y)
	17.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
	32.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
	36.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
	74.9%	(.f64 (.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) x) y)
✓	61.6%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
	65.5%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (neg a) t) (* z z))) (fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z))) y) x) z)
	69.6%	(.f64 (.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))))))) x) y)
	75.1%	(.f64 (.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))) x) y)
	69.6%	(.f64 (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 z)))) (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (neg.f64 (log.f64 z)))) #s(literal -1 binary64))) x) y)
	5.4%	(.f64 (.f64 (exp.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))))) #s(literal -1 binary64))) x) y)
	69.6%	(.f64 (.f64 (exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))))) #s(literal -1 binary64))) x) y)
	70.6%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) z)) #s(literal -1 binary64))) x) y)
	75.1%	(.f64 (.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))) x) y)
✓	65.2%	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
	60.5%	(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
	51.7%	(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
	33.6%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
✓	61.6%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
	50.7%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
	60.0%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
	61.4%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
	51.6%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
	33.6%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	54.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)) (.f64 (*.f64 z y) x))) #s(literal -1 binary64)))
✓	70.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 1 900 to 750 computations (60.5% saved)

regimes142.0ms (1.2%)

Memory

41.3MiB live, 224.6MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (.f64 y x))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
(.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 t) a (*.f64 z z)))))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (neg a) t) (* z z))) (fma.f64 (*.f64 a (/.f64 t z)) #s(literal -1/2 binary64) z))) y) x) z)
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (*.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) z)))
(/.f64 (.f64 (.f64 x y) z) (/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 a t (.f64 z z))) (fma.f64 (neg.f64 a) t (.f64 z z)))) (sqrt.f64 (neg.f64 (fma.f64 a t (.f64 z z))))))
(.f64 (.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))) x) y)
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)) (.f64 (*.f64 z y) x))) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) x) y)
(.f64 (.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))) x) y)
(.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)) z))) x) y)
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) z)) #s(literal -1 binary64))) x) y)
(.f64 (.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) x) y)
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))) x) y)
(.f64 (.f64 (exp.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))))) #s(literal -1 binary64))) x) y)
(.f64 (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 z)))) (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (neg.f64 (log.f64 z)))) #s(literal -1 binary64))) x) y)
(.f64 (.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))))))) x) y)
(.f64 (.f64 (exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))))) #s(literal -1 binary64))) x) y)

Outputs

(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)

(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (*.f64 y x))

Calls

8 calls:

23.0ms	y
19.0ms	x
18.0ms	t
18.0ms	a
18.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
75.1%	1	`x`
75.1%	1	`y`
91.1%	2	`z`
79.1%	3	`t`
78.2%	3	`a`
92.8%	4	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
75.1%	1	`(*.f64 x y)`
83.2%	4	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes24.0ms (0.2%)

Memory

1.3MiB live, 39.0MiB allocated

Counts

37 → 4

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (.f64 y x))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)

Outputs
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)

Calls

2 calls:

13.0ms	z
9.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
92.2%	4	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
90.2%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes23.0ms (0.2%)

Memory

2.6MiB live, 40.9MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (.f64 y x))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)

Outputs

(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))

(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)

(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (*.f64 y x))

Calls

2 calls:

11.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
10.0ms	z

Results

Accuracy	Segments	Branch
90.2%	3	`z`
88.0%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes14.0ms (0.1%)

Memory

-26.0MiB live, 22.8MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (.f64 y x))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))

Outputs

(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))

(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))

(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (*.f64 y x))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
89.9%	3	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes22.0ms (0.2%)

Memory

-2.4MiB live, 36.0MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))) (.f64 y x))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))

Outputs

(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))

(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (*.f64 y x))

Calls

2 calls:

10.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
9.0ms	z

Results

Accuracy	Segments	Branch
75.1%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
84.2%	2	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes10.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)

Outputs

(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))

(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.2%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)))) (.f64 z y)) x)
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 t x) (/.f64 y (.f64 z z))) (*.f64 y x)))
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64))))) y) x)
(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* (/ a z) -1/2) t) z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t)))) x) y)
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))

Outputs
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
83.7%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes47.0ms (0.4%)

Memory

-25.7MiB live, 95.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 y (/.f64 z x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) (*.f64 z y))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))))
(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 x z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) (fma.f64 (.f64 t (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)

Outputs
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Calls

8 calls:

7.0ms	z
7.0ms	x
6.0ms	a
5.0ms	t
5.0ms	y

Results

Accuracy	Segments	Branch
70.0%	1	`x`
70.0%	1	`y`
70.0%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
70.0%	1	`(*.f64 x y)`
70.0%	1	`a`
70.0%	1	`t`
70.0%	1	`(*.f64 t a)`
73.3%	2	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))

Outputs
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
72.8%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -37.0b remaining (-192.6%)

Threshold costs -37b (-192.6%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
(.f64 #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 x z) y)) z)
(.f64 (.f64 #s(approx (* (/ 1 (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 y z)) x) z)
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))

Outputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Calls

2 calls:

3.0ms	a
2.0ms	z

Results

Accuracy	Segments	Branch
70.0%	1	`a`
70.0%	1	`z`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch37.0ms (0.3%)

Memory

-23.1MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	2.5658723772664824e+81	1.0303094632041106e+84

Samples

9.0ms	128×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 350 to 228 computations (34.9% saved)

Precisions

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

ival-mult: 3.0ms (55% of total)

ival-sub: 1.0ms (18.3% of total)

ival-div: 1.0ms (18.3% of total)

ival-sqrt: 1.0ms (18.3% of total)

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

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.76693407996771e-63	1.2001147829302272e-48
0.0ms	7.419845825390227e-297	6.630595757472222e-296

Compiler

Compiled 22 to 20 computations (9.1% saved)

bsearch15.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
10.0ms	1.9467198526183105e+125	5.809700111303656e+129
3.0ms	3.595695105668645e-207	5.556109005198634e-198

Samples

8.0ms	112×	0	valid
1.0ms	19×	0	invalid

Compiler

Compiled 306 to 201 computations (34.3% saved)

Precisions

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

ival-mult: 3.0ms (55.9% of total)

ival-sub: 1.0ms (18.6% of total)

ival-div: 1.0ms (18.6% of total)

ival-sqrt: 1.0ms (18.6% of total)

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

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

bsearch27.0ms (0.2%)

Memory

10.5MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.9467198526183105e+125	5.809700111303656e+129
21.0ms	2.234387249600582e-160	1.2101889981312985e-153

Samples

14.0ms	176×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 692 to 453 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (64% of total)

ival-sqrt: 2.0ms (18.3% of total)

ival-sub: 1.0ms (9.1% of total)

ival-div: 1.0ms (9.1% of total)

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

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

bsearch18.0ms (0.2%)

Memory

-10.4MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.116362953030208e-67	7.604052706930741e-66

Samples

11.0ms	96×	0	valid
2.0ms	27×	0	invalid

Compiler

Compiled 256 to 170 computations (33.6% saved)

Precisions

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

ival-mult: 3.0ms (59.5% of total)

ival-sub: 1.0ms (19.8% of total)

ival-div: 1.0ms (19.8% of total)

ival-sqrt: 1.0ms (19.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.116362953030208e-67	7.604052706930741e-66

Compiler

Compiled 256 to 170 computations (33.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.116362953030208e-67	7.604052706930741e-66

Compiler

Compiled 190 to 134 computations (29.5% saved)

bsearch24.0ms (0.2%)

Memory

-27.4MiB live, 31.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.2900804452390322e-221	4.435504979688638e-219

Samples

9.0ms	128×	0	valid
8.0ms	38×	0	invalid

Compiler

Compiled 222 to 156 computations (29.7% saved)

Precisions

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

ival-mult: 4.0ms (58.8% of total)

ival-sub: 1.0ms (14.7% of total)

ival-div: 1.0ms (14.7% of total)

ival-sqrt: 1.0ms (14.7% of total)

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

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

bsearch3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.2900804452390322e-221	4.435504979688638e-219

Samples

1.0ms	16×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 222 to 156 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

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

simplify12.0ms (0.1%)

Memory

-20.2MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	523
1	119	523
2	129	523
3	135	523
4	137	523

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 2650000000000000138927544229753040369258574966119263859650310115738187132565454848 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x)))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x)) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) z) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal +inf.0 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) y) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y))))
(if (<=.f64 z #s(literal 7229475734293037/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) y) (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))))
(if (<=.f64 z #s(literal 6279873474903045/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 219999999999999990986243821054700378606165501089542949118813870396188310258005574755764848994566902909173407682264066804416512 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x))))
(if (<=.f64 z #s(literal 3130277023605911/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x)))
(if (<=.f64 z #s(literal 3130277023605911/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y))
(if (<=.f64 z #s(literal 3130277023605911/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 4578562156365867/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) (/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 1093767626242957/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Outputs
(if (<=.f64 z #s(literal 2650000000000000138927544229753040369258574966119263859650310115738187132565454848 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x)))
(if (<=.f64 z #s(literal 2650000000000000138927544229753040369258574966119263859650310115738187132565454848 binary64)) (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (.f64 x y) (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) (.f64 y x)) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) z) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal +inf.0 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) y) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z))) x) y))))
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(if (<=.f64 z #s(literal 1093767626242957/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 1093767626242957/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))

soundness736.0ms (6.1%)

Memory

13.2MiB live, 643.7MiB allocated

Rules

4 846×	`lower-fma.f32`
4 844×	`lower-fma.f64`
4 352×	`lower-*.f64`
4 352×	`lower-*.f32`
3 755×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	195
0	59	195
1	183	195
2	1004	195
0	8851	195
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8429	37

Stop Event

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

Compiler

Compiled 1 212 to 520 computations (57.1% saved)

preprocess476.0ms (4%)

Memory

5.9MiB live, 682.6MiB allocated

Remove

(sort t a)

(sort x y)

Compiler

Compiled 4 484 to 1 402 computations (68.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze215.0ms (1.8%)

sample1.6s (13.2%)

explain410.0ms (3.4%)

preprocess121.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify83.0ms (0.7%)

localize35.0ms (0.3%)

series75.0ms (0.6%)

simplify225.0ms (1.9%)

rewrite202.0ms (1.7%)

eval67.0ms (0.6%)

prune200.0ms (1.7%)

simplify479.0ms (4%)

localize383.0ms (3.2%)

series269.0ms (2.2%)

simplify344.0ms (2.9%)

rewrite221.0ms (1.8%)

eval218.0ms (1.8%)

prune278.0ms (2.3%)

simplify230.0ms (1.9%)

localize129.0ms (1.1%)

series95.0ms (0.8%)

simplify714.0ms (5.9%)

rewrite248.0ms (2.1%)

eval317.0ms (2.6%)

prune487.0ms (4.1%)

simplify417.0ms (3.5%)

localize295.0ms (2.5%)

series169.0ms (1.4%)

simplify609.0ms (5.1%)

rewrite521.0ms (4.3%)

eval245.0ms (2%)

prune482.0ms (4%)

regimes142.0ms (1.2%)

regimes24.0ms (0.2%)

regimes23.0ms (0.2%)

regimes14.0ms (0.1%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes47.0ms (0.4%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch37.0ms (0.3%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch24.0ms (0.2%)

bsearch3.0ms (0%)

simplify12.0ms (0.1%)

soundness736.0ms (6.1%)

preprocess476.0ms (4%)

end0.0ms (0%)

Profiling