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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze204.0ms (1.7%)

Memory

18.7MiB live, 496.3MiB 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)

sample1.5s (13%)

Memory

-78.3MiB live, 1 641.2MiB allocated

Samples

711.0ms	8 256×	0	valid
163.0ms	2 070×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-mult: 314.0ms (59.9% of total)

ival-sqrt: 76.0ms (14.5% of total)

ival-div: 70.0ms (13.4% of total)

ival-sub: 53.0ms (10.1% of total)

ival-true: 8.0ms (1.5% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain345.0ms (2.9%)

Memory

11.8MiB live, 248.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
101	-	1	(2.346136216919656e-92 8.372561954131687e-27 3.12182857137197e-290 -5.114624349620914e-269 3.7992568692844567e-53)	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
31	-	1	(-1.4871165535668297e-226 8.834276513889912e+125 -1.3574063907592414e-218 -6.728840236626947e-160 -2.144446465768131e-308)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
22	-	2	(-8.034912145245426e-89 -5.722621669943262e-224 4.087806020527517e+210 6.742280001929778e-8 -1.1204170580489474e-213)	`(.f64 (.f64 x y) z)`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
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	96	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	96
↳	`(*.f64 t a)`	overflow	23
↳	`(*.f64 z z)`	overflow	85
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	23	0
↳	`(*.f64 x y)`	overflow	33
↳	`(.f64 (.f64 x y) z)`	overflow	47
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	12	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	8	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	30
↳	`(.f64 (.f64 x y) z)`	underflow	39
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	4	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	4
↳	`(*.f64 t a)`	underflow	21
↳	`(*.f64 z z)`	underflow	61

Confusion

	Predicted +	Predicted -
+	100	0
-	21	135

Precision

0.8264462809917356

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	21	0	135

Precision?

0.8264462809917356

Recall?

1.0

Freqs

test

number	freq
0	135
1	92
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 119 to 40 computations (66.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (51.2% of total)

ival-sub: 5.0ms (19.7% of total)

ival-sqrt: 4.0ms (15.8% of total)

ival-div: 3.0ms (11.8% of total)

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

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

preprocess175.0ms (1.5%)

Memory

-25.9MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 536×	`unsub-neg`
1 194×	`div-sub`
1 182×	`times-frac`
1 032×	`associate-/l*`
866×	`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 y (.f64 x z)) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a)))))

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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify350.0ms (3%)

Memory

28.4MiB live, 66.2MiB 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

816×	`lower-fma.f64`
816×	`lower-fma.f32`
760×	`lower-*.f32`
752×	`lower-*.f64`
652×	`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 y (.f64 x z)) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a)))))
(.f64 (.f64 x y) z)
(.f64 y (.f64 x z))
(*.f64 x y)
x
y
z
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))
(-.f64 (.f64 z z) (.f64 t a))
(fma.f64 z z (*.f64 t (neg.f64 a)))
(*.f64 z z)
(*.f64 t a)
t
a

localize50.0ms (0.4%)

Memory

-27.1MiB live, 60.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 z z) (.f64 t a))
accuracy	4.610720362301672	(.f64 (.f64 x y) z)
accuracy	7.342330400924378	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	23.487520571727934	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

40.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 17.0ms (78.7% of total)

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

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

ival-sub: 1.0ms (4.6% of total)

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

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

series73.0ms (0.6%)

Memory

26.6MiB live, 63.1MiB 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>) () ())) ())
#s(alt (* x y) (taylor inf 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 (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor 0 z) (#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 (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) (taylor 0 z) (#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 (+ (* (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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#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 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) (taylor inf z) (#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 (* 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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#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 (* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) (taylor -inf z) (#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 (* -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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 t) (#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 (+ z (* -1/2 (/ (* a t) z))) (taylor 0 t) (#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 (+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) (taylor 0 t) (#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 (+ 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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor inf t) (#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 (* 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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a t)) (sqrt -1))) (taylor -inf t) (#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 (* -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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 a) (#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 (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#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 (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#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 (+ 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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor inf a) (#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 (* 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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a t)) (sqrt -1))) (taylor -inf a) (#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 (* -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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<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 (-.f64 (.f64 z z) (.f64 t a))) (patch (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a t)) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (- (pow z 2) (* a t)) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (- (pow z 2) (* a t)) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (- (pow z 2) (* a t)) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a t)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (pow z 2) t) a)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (pow z 2) t) a)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (pow z 2) t) a)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a t)) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 z z) (.f64 t a)) (patch (-.f64 (.f64 z z) (.f64 t a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a 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 (* a (- (/ (pow z 2) a) 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 (* a (- (/ (pow z 2) a) 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 (* a (- (/ (pow z 2) a) 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 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>) () ())) ())
#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
37.0ms	t	@	-inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms	x	@	-inf	(* x y)
2.0ms	x	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	z	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	t	@	inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

simplify348.0ms (2.9%)

Memory

-15.3MiB live, 376.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 704×	`lower-*.f64`
8 704×	`lower-*.f32`
7 510×	`lower-fma.f64`
7 510×	`lower-fma.f32`
1 846×	`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 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)))))))
(* -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)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a))))))))
(* -1 (* a t))
(*.f64 a (neg.f64 t))
(- (pow z 2) (* a t))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(- (pow z 2) (* a t))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(- (pow z 2) (* a t))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #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 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(* -1 (* a t))
(*.f64 a (neg.f64 t))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* a t))
(*.f64 a (neg.f64 t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (*.f64 a (neg.f64 t)))
(* -1 (* a t))
(*.f64 a (neg.f64 t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a t))
(*.f64 a (neg.f64 t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))

rewrite270.0ms (2.3%)

Memory

3.3MiB live, 361.6MiB allocated

Rules

4 222×	`lower-*.f32`
4 214×	`lower-*.f64`
3 334×	`lower-fma.f64`
3 334×	`lower-fma.f32`
2 738×	`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
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (*.f64 y z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 y (neg.f64 z))) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (/.f64 (.f64 x (.f64 y (neg.f64 z))) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(neg.f64 (/.f64 (.f64 x (.f64 y (neg.f64 z))) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y (neg.f64 z))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))) z))
(/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(/.f64 (.f64 x (.f64 y (neg.f64 z))) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (.f64 y z))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (.f64 y z)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z)))))
(/.f64 (.f64 y (neg.f64 x)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))) z)))
(/.f64 (/.f64 (.f64 x (.f64 y z)) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 y (neg.f64 z)))) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(/.f64 (.f64 (.f64 x (.f64 y (neg.f64 z))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(/.f64 (/.f64 (.f64 x (.f64 y z)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (.f64 y z)))) (-.f64 (.f64 z z) (.f64 t a)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (.f64 y z))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (/.f64 (.f64 x (.f64 y (neg.f64 z))) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (pow.f64 (-.f64 (.f64 z z) (*.f64 t a)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (/.f64 (.f64 x (.f64 y z)) #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(/.f64 (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z)))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 y z)) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x y))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 y (neg.f64 z))))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 y (neg.f64 z))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 y z)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(pow.f64 (/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (.f64 y z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (.f64 y z))) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (*.f64 y z)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (.f64 x (.f64 y z))))) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 x (.f64 (.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 z (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 z (.f64 (.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 y (neg.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (*.f64 y z)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 y z) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y))
(.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (neg.f64 z))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (neg.f64 z) (.f64 (.f64 x y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 (neg.f64 z) (/.f64 (.f64 y (neg.f64 x)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (*.f64 y (neg.f64 z))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 y z))) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 (neg.f64 x) (/.f64 (.f64 y (neg.f64 z)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 y (neg.f64 x)) (/.f64 (neg.f64 z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 y (neg.f64 x)) (.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 x z) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 t a))))))
(.f64 (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) y)
(.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x)
(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) z)
(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (/.f64 x (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (.f64 y z) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(.f64 (/.f64 y (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (.f64 x z) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (.f64 x y) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 x y) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 x (.f64 y z)) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (.f64 z z) (*.f64 t a)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 y (neg.f64 z)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (/.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 y (neg.f64 x)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (/.f64 (.f64 x z) (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (/.f64 (.f64 y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (pow.f64 (/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 y z)) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) (.f64 x (*.f64 y z))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))))) (.f64 (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))))))) (neg.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (*.f64 z z)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 t a (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 t a (.f64 z z)))) (.f64 (/.f64 (.f64 t (.f64 t (.f64 a a))) (fma.f64 t a (.f64 z z))) (/.f64 (.f64 t (.f64 t (.f64 a a))) (fma.f64 t a (.f64 z z)))))) (neg.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 t a (.f64 z z))) (/.f64 (.f64 t (.f64 t (.f64 a a))) (fma.f64 t a (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))))) (neg.f64 (fma.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))))) (neg.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 t a (.f64 z z))))) (neg.f64 (fma.f64 z (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 (.f64 t (.f64 t (.f64 a a))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 t (.f64 a a))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 t (.f64 a a)))) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 t a (.f64 z z))))) (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 t (*.f64 a a))))))
(pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (-.f64 (.f64 z z) (*.f64 t a))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (-.f64 (.f64 z z) (.f64 t a))) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (-.f64 (.f64 z z) (*.f64 t a)))) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
(.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (*.f64 z z)))))))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))))))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))) (/.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (*.f64 z z)))))))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 t a)))
(.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 t a (.f64 z z))))
(.f64 (fma.f64 t a (.f64 z z)) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (/.f64 #s(literal 1 binary64) (fma.f64 t a (.f64 z z)))))
(.f64 (fma.f64 t a (.f64 z z)) (/.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (*.f64 z z))))
(.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (*.f64 z z))))))))
(.f64 (neg.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t a (.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (*.f64 a a))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (*.f64 a a)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t a (.f64 z z))) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t a (.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))) (fma.f64 (.f64 t a) (-.f64 (.f64 t a) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z))) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z)))) (-.f64 (.f64 z z) (*.f64 t a)))
(.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (fma.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (.f64 (fma.f64 t a (.f64 z z)) (.f64 (fma.f64 t a (.f64 z z)) (fma.f64 t a (.f64 z z)))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))))) (fma.f64 (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))) (-.f64 (.f64 t (.f64 a (fma.f64 t a (.f64 z z)))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (*.f64 z z))))))
(.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (fma.f64 t a (.f64 z z)) (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 (.f64 t (.f64 t (.f64 a a))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 t (.f64 a a))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 t a (.f64 z z)) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 t (.f64 a a)))) (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 t (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (.f64 z z))))) (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a)))))))
(.f64 (exp.f64 (log.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 t a) (.f64 t (.f64 t (.f64 a a))))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (.f64 a (fma.f64 t a (*.f64 z z)))))))))
(.f64 (exp.f64 (log.f64 (.f64 (-.f64 (.f64 z z) (.f64 t a)) (fma.f64 t a (.f64 z z))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 t a (.f64 z z))))))

eval114.0ms (1%)

Memory: 5.9MiB live, 154.9MiB allocated
Compiler: Compiled 22 148 to 1 794 computations (91.9% saved)

prune108.0ms (0.9%)

Memory

33.3MiB live, 270.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	556	13	569
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	557	13	570

Accuracy

96.5%

Counts

570 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	34.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	43.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))))
	67.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))
▶	19.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	64.0%	(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) (.f64 y z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)))
	65.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x)
	64.1%	(.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y))
	63.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
▶	63.5%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
	61.8%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
▶	52.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y)))
▶	67.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))

Compiler

Compiled 496 to 302 computations (39.1% saved)

simplify204.0ms (1.7%)

Memory

-14.6MiB live, 229.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 428×	`lower-*.f32`
3 410×	`lower-*.f64`
3 134×	`lower-fma.f32`
3 132×	`lower-fma.f64`
2 352×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	247
0	51	247
1	92	247
2	213	247
3	592	247
4	1838	245
5	2208	245
6	2496	245
7	3229	245
8	5564	245
0	8026	243

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

localize110.0ms (0.9%)

Memory

16.4MiB live, 202.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 z z) (.f64 t a))
accuracy	5.937970626928493	(.f64 (.f64 y z) x)
accuracy	7.342330400924378	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	23.487520571727924	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
accuracy	0.0078125	(-.f64 (.f64 z z) (.f64 t a))
accuracy	0.07421875	(/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	16.994699672516376	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
accuracy	23.487520571727924	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
accuracy	6.7273689502475955	(.f64 t (.f64 x y))
accuracy	7.0332099258633365	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
accuracy	14.935217524886191	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z))
accuracy	25.40955097261708	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y)))
accuracy	0	(neg.f64 z)
accuracy	4.610720362301672	(.f64 (.f64 x y) z)
accuracy	7.342330400924378	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.12756311336292	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0	(*.f64 x y)
accuracy	20.61401294544549	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))

Samples

73.0ms

256×

valid

Compiler

Compiled 223 to 26 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 26.0ms (49% of total)

ival-div: 21.0ms (39.6% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series105.0ms (0.9%)

Memory

4.3MiB live, 153.2MiB allocated

Counts

18 → 768

Calls

Call 1

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

192 calls:

Time	Variable		Point	Expression
12.0ms	t	@	inf	(* 1/2 (* t (* x y)))
2.0ms	t	@	-inf	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
1.0ms	x	@	0	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
1.0ms	y	@	0	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
1.0ms	x	@	inf	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))

simplify359.0ms (3%)

Memory

-1.2MiB live, 598.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 972×	`lower-*.f64`
6 972×	`lower-*.f32`
6 498×	`lower-fma.f64`
6 498×	`lower-fma.f32`
3 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	16809
1	2261	16434
2	6068	16422
0	8131	15932

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 762

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

rewrite327.0ms (2.8%)

Memory

16.5MiB live, 458.9MiB allocated

Rules

6 756×	`lower-fma.f32`
6 754×	`lower-fma.f64`
6 752×	`lower-*.f32`
6 734×	`lower-*.f64`
3 248×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	51	187
1	151	187
2	861	187
0	8396	187

Stop Event

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

Counts

18 → 713

Calls

Call 1

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

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

eval263.0ms (2.2%)

Memory: 2.1MiB live, 358.6MiB allocated
Compiler: Compiled 45 940 to 2 584 computations (94.4% saved)

prune500.0ms (4.2%)

Memory

9.7MiB live, 833.6MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 739	13	1 752
Fresh	4	4	8
Picked	1	4	5
Done	0	0	0
Total	1 744	21	1 765

Accuracy

96.5%

Counts

1 765 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	32.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	43.6%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))))
	43.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))))
▶	67.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))
✓	19.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	65.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
	64.1%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 x y))
	66.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) y) x)
	14.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 x y)) z)
	63.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	45.0%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))))
	61.1%	(.f64 (.f64 y z) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 z z (.f64 t (neg.f64 a)))) #s(literal 1/2 binary64)))))
▶	63.5%	(.f64 (.f64 y z) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) x))
	60.2%	(.f64 (.f64 y z) (exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a)))) x)) #s(literal -1 binary64))))
▶	44.6%	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
▶	61.8%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
	21.0%	(.f64 y (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
✓	52.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y)))
✓	67.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))
▶	57.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y)) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x))))

Compiler

Compiled 692 to 443 computations (36% saved)

simplify178.0ms (1.5%)

Memory

9.7MiB live, 278.5MiB 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 z z (*.f64 t (neg.f64 a)))))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) x))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) x)
cost-diff	0	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
cost-diff	0	(/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
cost-diff	0	(*.f64 x z)
cost-diff	0	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (*.f64 z z)) x)
cost-diff	0	(.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x))
cost-diff	0	#s(approx (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y)) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x)))
cost-diff	0	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y)) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x))))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) 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 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))

Rules

4 754×	`lower-*.f32`
4 724×	`lower-*.f64`
3 786×	`lower-fma.f32`
3 780×	`lower-fma.f64`
2 038×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	363
0	85	362
1	171	362
2	384	353
3	1175	353
4	1845	353
5	2370	353
6	2636	353
7	3449	353
8	4959	353
9	7438	353
0	8846	353

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (1.5%)

Memory

-51.0MiB live, 300.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a)))))
accuracy	0.1484375	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) x)
accuracy	16.994699672516376	(.f64 (.f64 y z) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) x))
accuracy	23.487520571727934	(sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))
accuracy	0.0078125	(-.f64 (.f64 z z) (.f64 t a))
accuracy	0.1015625	(/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	7.054863437892373	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
accuracy	23.487520571727934	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
accuracy	0.2826516000739493	(.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x))
accuracy	5.081781662188359	(.f64 a (.f64 x t))
accuracy	12.661993939318847	(/.f64 (.f64 a (.f64 x t)) (*.f64 z z))
accuracy	25.40955097261708	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y)) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x))))
accuracy	0	(/.f64 x z)
accuracy	0	(*.f64 y z)
accuracy	16.994699672516376	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
accuracy	23.88042353266431	#s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))
accuracy	2.213139942372476	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
accuracy	4.610720362301672	(.f64 (.f64 x y) z)
accuracy	7.342330400924378	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))
accuracy	24.62359802012088	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))

Samples

107.0ms

256×

valid

Compiler

Compiled 299 to 46 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 55.0ms (65.4% of total)

ival-div: 18.0ms (21.4% of total)

ival-add: 4.0ms (4.8% of total)

ival-sqrt: 4.0ms (4.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series125.0ms (1.1%)

Memory

11.6MiB live, 159.9MiB allocated

Counts

24 → 1 044

Calls

Call 1

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

Calls

261 calls:

Time	Variable		Point	Expression
7.0ms	t	@	-inf	(/ (* a (* x t)) (* z z))
2.0ms	t	@	inf	(/ y (sqrt (- (* z z) (* t a))))
2.0ms	t	@	-inf	(+ (* 1/2 (/ (* a (* x t)) (* z z))) x)
1.0ms	x	@	0	(* y (+ (* 1/2 (/ (* a (* x t)) (* z z))) x))
1.0ms	x	@	0	(* (/ 1 (sqrt (+ (* z z) (* t (neg a))))) x)

simplify403.0ms (3.4%)

Memory

5.5MiB live, 635.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 866×	`lower-*.f64`
7 866×	`lower-*.f32`
7 842×	`lower-fma.f64`
7 842×	`lower-fma.f32`
5 610×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	977	23969
1	3240	23401
0	8364	22599

Stop Event

1×	iter limit
1×	node limit

Counts

1 044 → 1 027

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

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

rewrite389.0ms (3.3%)

Memory

9.2MiB live, 446.0MiB allocated

Rules

5 950×	`lower-fma.f32`
5 944×	`lower-fma.f64`
4 812×	`lower-*.f32`
4 782×	`lower-*.f64`
4 012×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	301
0	85	297
1	291	296
2	1706	296
0	8375	294

Stop Event

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

Counts

24 → 676

Calls

Call 1

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

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

eval265.0ms (2.2%)

Memory: 56.7MiB live, 451.0MiB allocated
Compiler: Compiled 47 251 to 2 795 computations (94.1% saved)

prune410.0ms (3.5%)

Memory

-44.5MiB live, 848.9MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 720	11	1 731
Fresh	2	10	12
Picked	2	3	5
Done	1	3	4
Total	1 725	27	1 752

Accuracy

96.6%

Counts

1 752 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	32.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	43.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))))
✓	67.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))
✓	19.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
▶	65.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
	64.1%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 x y))
	66.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) y) x)
▶	14.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 x y)) z)
	63.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	51.0%	(.f64 (.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) y) z)
	52.0%	(.f64 (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))) y)
▶	45.0%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))))
✓	63.5%	(.f64 (.f64 y z) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) x))
	61.1%	(.f64 (.f64 y z) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 z z) (.f64 t a))) #s(literal -1/2 binary64))) x))
	44.6%	(.f64 (.f64 y z) (.f64 #s(approx (/ 1 (sqrt (+ ( z z) (* t (neg a))))) (/.f64 #s(literal 1 binary64) z)) x))
	60.2%	(.f64 (.f64 y z) (exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a)))) x)) #s(literal -1 binary64))))
✓	44.6%	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
	44.1%	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
	41.6%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))))
	69.6%	(.f64 (.f64 x z) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) t z))))
▶	65.2%	(.f64 (.f64 x z) #s(approx (/ y (sqrt (- (* z z) (* t a)))) (/.f64 y z)))
	21.0%	(.f64 y (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
▶	75.8%	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z)))))
	64.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 t (.f64 (/.f64 #s(literal -1/2 binary64) z) a) z)) (.f64 z (*.f64 x y)))) #s(literal -1 binary64)))
✓	67.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))
	57.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y)) #s(approx (* y (+ (* 1/2 (/ (* a (* x t)) (* z z))) x)) (.f64 (.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal 1 binary64))))))

Compiler

Compiled 846 to 543 computations (35.8% saved)

simplify461.0ms (3.9%)

Memory

15.7MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 056×	`lower-fma.f32`
3 052×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 830×	`lower-*.f64`
1 504×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	340
0	69	340
1	125	336
2	218	336
3	376	336
4	568	336
5	772	336
6	997	336
7	1283	336
8	1783	336
9	3141	336
10	4605	336
11	5037	336
12	5228	336
13	5657	336
14	5791	336
15	5799	336
16	5945	336
17	5945	336
18	5945	336
19	5945	336
20	6739	336
21	7123	336
22	7162	336
23	7162	336
24	7162	336
25	7162	336
26	7182	336
27	7190	336
28	7190	336
29	7294	336
30	7966	336
0	7966	336

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (0.9%)

Memory

2.0MiB live, 200.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 z z (*.f64 t (neg.f64 a)))
accuracy	0.0546875	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
accuracy	15.435634287721323	(/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a)))))
accuracy	23.487520571727934	(sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))
accuracy	0.07421875	(/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))))
accuracy	16.994699672516376	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))))
accuracy	23.487520571727934	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))
accuracy	34.76938947391744	#s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))
accuracy	0.08984375	(/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	4.365064714796533	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (*.f64 x y))
accuracy	8.489451966541052	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 x y)) z)
accuracy	63.12756311336292	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0	(/.f64 y z)
accuracy	0	(*.f64 x z)
accuracy	7.054863437892373	(.f64 (.f64 x z) #s(approx (/ y (sqrt (- (* z z) (* t a)))) (/.f64 y z)))
accuracy	23.285524386291343	#s(approx (/ y (sqrt (- (* z z) (* t a)))) (/.f64 y z))
accuracy	1.111738564561991	(.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z))))
accuracy	2.1472057386679695	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z)))))
accuracy	2.211175601820396	(fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z)
accuracy	24.62359802012088	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z))

Samples

69.0ms

256×

valid

Compiler

Compiled 271 to 40 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 23.0ms (48.6% of total)

ival-div: 13.0ms (27.5% of total)

ival-neg: 4.0ms (8.5% of total)

ival-sqrt: 3.0ms (6.3% of total)

ival-add: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series144.0ms (1.2%)

Memory

-42.0MiB live, 125.7MiB allocated

Counts

22 → 948

Calls

Call 1

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

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

Calls

237 calls:

Time	Variable		Point	Expression
13.0ms	t	@	-inf	(* (/ 1 (sqrt (- (* z z) (* t a)))) (* x y))
2.0ms	z	@	-inf	(* y (* x (/ z (sqrt (- (* z z) (* t a))))))
1.0ms	t	@	inf	(* x (/ z (sqrt (- (* z z) (* t a)))))
1.0ms	t	@	inf	(* (/ 1 (sqrt (- (* z z) (* t a)))) (* x y))
1.0ms	a	@	inf	(* (/ 1 (sqrt (- (* z z) (* t a)))) (* x y))

simplify721.0ms (6.1%)

Memory

5.0MiB live, 438.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 314×	`lower-*.f64`
9 314×	`lower-*.f32`
7 508×	`lower-fma.f64`
7 508×	`lower-fma.f32`
5 240×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1293	27012
1	4268	26533
0	8370	25652

Stop Event

1×	iter limit
1×	node limit

Counts

948 → 926

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

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

rewrite323.0ms (2.7%)

Memory

32.2MiB live, 303.8MiB allocated

Rules

7 188×	`lower-fma.f32`
7 184×	`lower-fma.f64`
5 810×	`lower-*.f32`
5 784×	`lower-*.f64`
3 158×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	289
0	69	289
1	212	285
2	1060	285
0	8875	267

Stop Event

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

Counts

22 → 666

Calls

Call 1

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

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

eval360.0ms (3%)

Memory: -8.3MiB live, 457.0MiB allocated
Compiler: Compiled 48 107 to 3 660 computations (92.4% saved)

prune321.0ms (2.7%)

Memory

8.4MiB live, 645.9MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 611	14	1 625
Fresh	2	14	16
Picked	3	2	5
Done	2	4	6
Total	1 618	34	1 652

Accuracy

96.6%

Counts

1 652 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	32.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	43.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t)))))
✓	19.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	14.1%	(/.f64 z (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (*.f64 y x)))
	45.1%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x)
	43.2%	(.f64 (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z)
	41.0%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y)
	21.0%	(.f64 (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y)
	64.1%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 x y))
	66.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) y) x)
	63.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	51.0%	(.f64 (.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) y) z)
	59.2%	(.f64 (.f64 #s(approx (/ 1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 x y)) z)
	52.0%	(.f64 (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))) y)
✓	45.0%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))))
	45.0%	(.f64 (.f64 y z) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 t (neg.f64 a))))) x))
	61.1%	(.f64 (.f64 y z) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 z z) (.f64 t a))) #s(literal -1/2 binary64))) x))
	44.6%	(.f64 (.f64 y z) (.f64 #s(approx (/ 1 (sqrt (+ ( z z) (* t (neg a))))) (/.f64 #s(literal 1 binary64) z)) x))
	44.1%	(.f64 (.f64 y z) (exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 t (neg.f64 a)))) x)) #s(literal -1 binary64))))
✓	44.6%	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
	44.1%	(.f64 (.f64 y z) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
	41.6%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a (neg.f64 t))))))
	69.6%	(.f64 (.f64 x z) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) t z))))
	65.2%	(.f64 (.f64 x z) #s(approx (/ y (sqrt (- (* z z) (* t a)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))
✓	65.2%	(.f64 (.f64 x z) #s(approx (/ y (sqrt (- (* z z) (* t a)))) (/.f64 y z)))
	32.8%	(.f64 (.f64 x z) #s(approx (/ y (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 z z))) z)))
	62.1%	(.f64 (.f64 x z) #s(approx (/ y (sqrt (- (* z z) (* t a)))) (exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))))
	59.3%	(.f64 #s(approx ( (/ 1 (sqrt (- (* z z) (* t a)))) (* x y)) (/.f64 (*.f64 x y) z)) z)
	60.0%	(.f64 y (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 t a) (/.f64 #s(literal -1/2 binary64) z) z))) z))
	24.8%	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* t (* (/ -1/2 z) a)) z) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t z))))))))
	64.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 t (.f64 (/.f64 #s(literal -1/2 binary64) z) a) z)) (.f64 z (*.f64 x y)))) #s(literal -1 binary64)))
✓	67.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))
	57.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y)) #s(approx (* y (+ (* 1/2 (/ (* a (* x t)) (* z z))) x)) (.f64 (.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal 1 binary64))))))

Compiler

Compiled 1 261 to 551 computations (56.3% saved)

regimes138.0ms (1.2%)

Memory

-21.8MiB live, 200.3MiB allocated

Counts

52 → 2

Calls

Call 1

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

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

Calls

8 calls:

24.0ms	(*.f64 x y)
19.0ms	a
18.0ms	z
17.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
78.1%	2	`x`
75.8%	1	`y`
94.9%	2	`z`
79.9%	3	`t`
79.0%	3	`a`
94.4%	4	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
79.8%	3	`(*.f64 x y)`
84.9%	3	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes14.0ms (0.1%)

Memory

4.3MiB live, 42.8MiB allocated

Counts

39 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
94.1%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes21.0ms (0.2%)

Memory

21.1MiB live, 60.2MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

11.0ms	z
8.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
89.3%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
92.6%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes13.0ms (0.1%)

Memory

-6.8MiB live, 32.1MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory

-24.2MiB live, 19.3MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.0%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes14.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	z
6.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
72.7%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
87.5%	2	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes9.0ms (0.1%)

Memory

-22.7MiB live, 16.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes44.0ms (0.4%)

Memory

13.3MiB live, 90.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
69.7%	2	`y`
69.4%	2	`a`
67.8%	1	`x`
69.7%	2	`(*.f64 x y)`
67.8%	1	`t`
71.2%	2	`(*.f64 t a)`
72.6%	2	`z`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes5.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
71.2%	2	`(*.f64 t a)`
70.5%	2	`z`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.1%)

Memory

-14.7MiB live, 28.1MiB allocated

Accuracy

Total -5.4b remaining (-26.3%)

Threshold costs -5.4b (-26.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
2.0ms	a
1.0ms	z
1.0ms	y
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
67.8%	1	`a`
67.8%	1	`y`
67.8%	1	`(*.f64 x y)`
67.8%	1	`z`
67.8%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
67.8%	1	`(*.f64 t a)`

Compiler

Compiled 53 to 39 computations (26.4% saved)

bsearch11.0ms (0.1%)

Memory

-7.6MiB live, 31.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.6355496339454065e+65	8.274056024367093e+65

Samples

6.0ms	80×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 172 to 120 computations (30.2% saved)

Precisions

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

ival-mult: 2.0ms (57.1% of total)

ival-sqrt: 1.0ms (28.5% of total)

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

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

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

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

bsearch3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.6355496339454065e+65	8.274056024367093e+65

Samples

1.0ms	16×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 172 to 120 computations (30.2% 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)

bsearch32.0ms (0.3%)

Memory

9.8MiB live, 88.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4437960248000478e+120	6.194066376088428e+121
17.0ms	4.758058991282668e-153	4.01594069815946e-150

Samples

17.0ms	240×	0	valid
2.0ms	33×	0	invalid

Compiler

Compiled 536 to 360 computations (32.8% saved)

Precisions

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

ival-mult: 6.0ms (53.3% of total)

ival-sqrt: 2.0ms (17.8% of total)

ival-sub: 1.0ms (8.9% of total)

ival-div: 1.0ms (8.9% of total)

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

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

bsearch17.0ms (0.1%)

Memory

-6.7MiB live, 41.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.851537956137225e-108	1.1379274895407605e-106

Samples

10.0ms	112×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 295 to 195 computations (33.9% saved)

Precisions

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

ival-mult: 3.0ms (56.1% of total)

ival-sub: 1.0ms (18.7% of total)

ival-div: 1.0ms (18.7% of total)

ival-sqrt: 1.0ms (18.7% of total)

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

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

bsearch18.0ms (0.2%)

Memory

-4.1MiB live, 35.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.000837165163955e-93	8.197377397149308e-91

Samples

9.0ms	128×	0	valid
1.0ms	20×	0	invalid

Compiler

Compiled 246 to 172 computations (30.1% saved)

Precisions

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

ival-mult: 4.0ms (64.5% of total)

ival-sub: 1.0ms (16.1% of total)

ival-div: 1.0ms (16.1% of total)

ival-sqrt: 1.0ms (16.1% 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	1.000837165163955e-93	8.197377397149308e-91

Compiler

Compiled 246 to 172 computations (30.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.000837165163955e-93	8.197377397149308e-91

Compiler

Compiled 246 to 172 computations (30.1% saved)

bsearch15.0ms (0.1%)

Memory

-7.2MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.230714439953972e-177	1.6861939677741386e-176

Samples

8.0ms	96×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 172 to 122 computations (29.1% saved)

Precisions

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

ival-mult: 4.0ms (66.6% of total)

ival-sub: 1.0ms (16.6% of total)

ival-div: 1.0ms (16.6% of total)

ival-sqrt: 1.0ms (16.6% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-18.3MiB live, 20.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-3.100666746109262e-119	-1.2670190050442222e-119

Samples

5.0ms

80×

valid

Compiler

Compiled 142 to 100 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (34.3% of total)

ival-sqrt: 1.0ms (34.3% of total)

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

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

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

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

simplify10.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	399
1	114	399
2	123	399
3	128	399
4	129	399

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 389999999999999980546432304400059334327478748185128955779271884800 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 375000000000000002879901397887238613400074787218496286244611293184 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 7223599953759981/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) (if (<=.f64 z #s(literal 2349999999999999967342516966314319724489322798946013397721854715104072197734387751010523147638512283861339733613816578048 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))))
(if (<=.f64 z #s(literal 4544759785432959/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z))))))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 a (neg.f64 t)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 a (neg.f64 t)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 8212393111719951/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 y (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 (.f64 t a) #s(literal -7086677561882167/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (.f64 (.f64 x z) #s(approx (/ y (sqrt (- ( z z) (* t a)))) (/.f64 y 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 x y))

Outputs
(if (<=.f64 z #s(literal 389999999999999980546432304400059334327478748185128955779271884800 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 389999999999999980546432304400059334327478748185128955779271884800 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 375000000000000002879901397887238613400074787218496286244611293184 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 375000000000000002879901397887238613400074787218496286244611293184 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 7223599953759981/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) (if (<=.f64 z #s(literal 2349999999999999967342516966314319724489322798946013397721854715104072197734387751010523147638512283861339733613816578048 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))))
(if (<=.f64 z #s(literal 7223599953759981/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a)))))) (if (<=.f64 z #s(literal 2349999999999999967342516966314319724489322798946013397721854715104072197734387751010523147638512283861339733613816578048 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))))
(if (<=.f64 z #s(literal 4544759785432959/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 t (*.f64 (/.f64 #s(literal -1/2 binary64) z) a) z))))))
(if (<=.f64 z #s(literal 4544759785432959/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a)))))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)) z))))))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 a (neg.f64 t)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 a (neg.f64 t)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 6054836346213789/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a)))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 8212393111719951/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 y (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 8212393111719951/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 y (/.f64 (.f64 z x) #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 (.f64 t a) #s(literal -7086677561882167/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (.f64 (.f64 x z) #s(approx (/ y (sqrt (- ( z z) (* t a)))) (/.f64 y z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 (.f64 t a) #s(literal -7086677561882167/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (.f64 (.f64 z x) #s(approx (/ y (sqrt (- ( z z) (* t a)))) (/.f64 y 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 x y))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

soundness1.0s (8.7%)

Memory

25.2MiB live, 1 047.1MiB allocated

Rules

8 704×	`lower-*.f64`
8 704×	`lower-*.f32`
7 866×	`lower-*.f64`
7 866×	`lower-*.f32`
7 842×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	16809
1	2261	16434
2	6068	16422
0	8131	15932
0	33	187
0	51	187
1	151	187
2	861	187
0	8396	187
0	42	289
0	69	289
1	212	285
2	1060	285
0	8875	267
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8429	37
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461
0	53	301
0	85	297
1	291	296
2	1706	296
0	8375	294
0	977	23969
1	3240	23401
0	8364	22599

Stop Event

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

Compiler

Compiled 819 to 398 computations (51.4% saved)

preprocess584.0ms (4.9%)

Memory: -24.5MiB live, 742.7MiB allocated
Remove: (sort t a)
Compiler: Compiled 1 512 to 770 computations (49.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze204.0ms (1.7%)

sample1.5s (13%)

explain345.0ms (2.9%)

preprocess175.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify350.0ms (3%)

localize50.0ms (0.4%)

series73.0ms (0.6%)

simplify348.0ms (2.9%)

rewrite270.0ms (2.3%)

eval114.0ms (1%)

prune108.0ms (0.9%)

simplify204.0ms (1.7%)

localize110.0ms (0.9%)

series105.0ms (0.9%)

simplify359.0ms (3%)

rewrite327.0ms (2.8%)

eval263.0ms (2.2%)

prune500.0ms (4.2%)

simplify178.0ms (1.5%)

localize180.0ms (1.5%)

series125.0ms (1.1%)

simplify403.0ms (3.4%)

rewrite389.0ms (3.3%)

eval265.0ms (2.2%)

prune410.0ms (3.5%)

simplify461.0ms (3.9%)

localize107.0ms (0.9%)

series144.0ms (1.2%)

simplify721.0ms (6.1%)

rewrite323.0ms (2.7%)

eval360.0ms (3%)

prune321.0ms (2.7%)

regimes138.0ms (1.2%)

regimes14.0ms (0.1%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes44.0ms (0.4%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch3.0ms (0%)

bsearch32.0ms (0.3%)

bsearch17.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch10.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.0s (8.7%)

preprocess584.0ms (4.9%)

end0.0ms (0%)

Profiling