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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze275.0ms (2.3%)

Memory

-18.6MiB live, 386.0MiB 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)

sample2.0s (17.3%)

Memory

49.0MiB live, 1 775.6MiB allocated

Samples

1.5s	8 256×	0	valid
170.0ms	2 065×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 876.0ms

ival-mult: 675.0ms (77.1% of total)

ival-sqrt: 72.0ms (8.2% of total)

ival-div: 67.0ms (7.7% of total)

ival-sub: 48.0ms (5.5% of total)

ival-true: 9.0ms (1% of total)

ival-assert: 5.0ms (0.6% of total)

Bogosity

explain147.0ms (1.2%)

Memory

4.9MiB live, 200.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
47	-	1	(-1.1365304090806614e-28 -2.273763562919955e+22 -1.6151445477224087e-307 9.565296864637037e-184 -2.872321242542305e-70)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
21	-	1	(1.8428491954848635e-201 5.391902286578054e-120 1.655799020131212e+228 2.7538382244615915e+140 7.26175515407451e-231)	`(.f64 (.f64 x y) z)`
8	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 t a)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	oflow-rescue	99	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	99
↳	`(*.f64 t a)`	overflow	30
↳	`(*.f64 z z)`	overflow	81
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	40	0
↳	`(*.f64 x y)`	overflow	26
↳	`(.f64 (.f64 x y) z)`	overflow	55
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	12	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	12
↳	`(*.f64 t a)`	underflow	40
↳	`(*.f64 z z)`	underflow	48
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	11	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	9	0
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	8	0
↳	`(*.f64 z z)`	overflow	81
↳	`(*.f64 t a)`	overflow	30
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	6	0
↳	`(*.f64 x y)`	underflow	25
↳	`(.f64 (.f64 x y) z)`	underflow	32

Confusion

	Predicted +	Predicted -
+	120	1
-	17	118

Precision

0.8759124087591241

Recall

0.9917355371900827

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	1
-	17	0	118

Precision?

0.8759124087591241

Recall?

0.9917355371900827

Freqs

test

number	freq
0	119
1	92
2	42
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 30.0ms (74.8% of total)

ival-sqrt: 4.0ms (10% of total)

ival-div: 3.0ms (7.5% of total)

ival-sub: 2.0ms (5% of total)

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

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

preprocess247.0ms (2.1%)

Memory

0.9MiB live, 76.6MiB 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 z (.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify67.0ms (0.6%)

Memory

-15.4MiB live, 26.2MiB 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 z (.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(.f64 (.f64 x y) z)
(.f64 z (.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
z
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(-.f64 (.f64 z z) (.f64 t a))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
(*.f64 a t)
t
a

localize46.0ms (0.4%)

Memory

14.9MiB live, 51.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.6015625000000002	(-.f64 (.f64 z z) (.f64 t a))
accuracy	4.927426952705133	(.f64 (.f64 x y) z)
accuracy	10.855650490520393	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	25.8915527747799	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

39.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 6.0ms (54.4% of total)

ival-sqrt: 2.0ms (18.1% of total)

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

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

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

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

series59.0ms (0.5%)

Memory

-62.0MiB live, 92.7MiB 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) (taylor 0 a) (#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 (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#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 (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (.f64 (.f64 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 (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (.f64 (.f64 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 (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 (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 (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor inf a) (#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 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor inf a) (#s(alt (/.f64 (.f64 (.f64 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 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor inf a) (#s(alt (/.f64 (.f64 (.f64 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 (+ (* -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)))))))) (taylor inf a) (#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 (* 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 (* 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 (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor -inf a) (#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 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (.f64 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 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (.f64 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 (+ (* -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))))))) (taylor -inf a) (#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 (* -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>) () ())) ())
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#s(alt (* x (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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 (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 (* -1 (* 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>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) (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>) () ())) ())
#s(alt (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) (taylor -inf z) (#s(alt (/.f64 (.f64 (.f64 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 (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) (taylor -inf z) (#s(alt (/.f64 (.f64 (.f64 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)) (taylor -inf z) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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 (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 (* (* 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)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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 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)) (taylor inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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 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)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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 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)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<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)) (taylor inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<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)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<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>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	a	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms	a	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify239.0ms (2%)

Memory

30.6MiB live, 138.7MiB 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	6491	3573
0	8282	3461

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

Inputs
(* 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))
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))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* (sqrt (/ 1 (* 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 (* 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 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* (sqrt (/ 1 (* 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)))))))
(* -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))
(* -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))))
(* 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))
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))))))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* (sqrt (/ 1 (* 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 (* 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 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* (sqrt (/ 1 (* 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)))))))
(* -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)))))))
(* -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))))
(* (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 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)))))))
(+ (* (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)))))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(* 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))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
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)))))))
(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)))))
(* -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))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -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))))))))
(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)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)

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

rewrite183.0ms (1.5%)

Memory

20.1MiB live, 171.9MiB 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
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eval87.0ms (0.7%)

Memory: -33.9MiB live, 170.4MiB allocated
Compiler: Compiled 16 321 to 1 854 computations (88.6% saved)

prune21.0ms (0.2%)

Memory

30.6MiB live, 68.5MiB 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

95.0%

Counts

570 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	27.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	38.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	66.7%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
▶	16.6%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	55.5%	(.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) x) (.f64 z y))
	64.2%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
▶	62.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
	55.5%	(.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	57.1%	(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	59.9%	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
▶	54.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x)))
▶	73.9%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 340 to 312 computations (8.2% saved)

simplify515.0ms (4.4%)

Memory

-27.6MiB live, 138.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

26 852×	`lower-fma.f32`
26 848×	`lower-fma.f64`
2 690×	`lower-+.f64`
2 690×	`lower-+.f32`
2 662×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	285
0	62	285
1	111	285
2	194	285
3	306	285
4	365	285
5	399	285
6	562	285
7	759	285
8	1361	285
9	2820	285
10	4453	285
11	5067	285
12	5362	285
13	5884	285
14	6646	285
0	8205	285

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1%)

Memory

10.6MiB live, 132.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.793183954625642	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	6.77149535773521	(.f64 (.f64 z y) x)
accuracy	10.880707618067005	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x))
accuracy	24.87489299594395	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	0.08984375	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	0.773520702479267	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
accuracy	1.7494040213084665	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
accuracy	25.8915527747799	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	0.9694874127148128	(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy	4.927426952705133	(.f64 (.f64 x y) z)
accuracy	10.855650490520393	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
accuracy	19.196839489911262	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
accuracy	0	(neg.f64 z)
accuracy	4.927426952705133	(.f64 (.f64 x y) z)
accuracy	10.855650490520393	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.129525308580355	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	16.722147710944235	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Samples

71.0ms

256×

valid

Compiler

Compiled 252 to 34 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 19.0ms (52% of total)

ival-div: 6.0ms (16.4% of total)

ival-sqrt: 5.0ms (13.7% of total)

ival-add: 2.0ms (5.5% of total)

ival-neg: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series153.0ms (1.3%)

Memory

24.3MiB live, 131.6MiB allocated

Counts

19 → 792

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	t	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x))
24.0ms	y	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x))
8.0ms	z	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x))
5.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x))
3.0ms	a	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x))

simplify367.0ms (3.1%)

Memory

7.2MiB live, 445.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 560×	`lower-fma.f64`
7 560×	`lower-fma.f32`
7 404×	`lower-*.f64`
7 404×	`lower-*.f32`
5 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	995	21591
1	3245	21033
0	8297	20340

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 776

Calls

Call 1

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

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

rewrite226.0ms (1.9%)

Memory

1.0MiB live, 264.9MiB allocated

Rules

9 708×	`lower-fma.f32`
9 704×	`lower-fma.f64`
6 192×	`lower-*.f32`
6 172×	`lower-*.f64`
2 934×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	222
0	62	218
1	192	217
2	1042	217
0	9135	217

Stop Event

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

Counts

19 → 648

Calls

Call 1

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

Outputs
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eval514.0ms (4.3%)

Memory: -79.4MiB live, 415.6MiB allocated
Compiler: Compiled 38 869 to 3 296 computations (91.5% saved)

prune65.0ms (0.6%)

Memory

-19.2MiB live, 258.3MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 500	16	1 516
Fresh	2	6	8
Picked	3	2	5
Done	0	0	0
Total	1 505	24	1 529

Accuracy

95.4%

Counts

1 529 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	17.8%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	27.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
▶	38.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	60.1%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (.f64 (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))))
	20.6%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	16.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 y x) z)))
	80.6%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x))
	55.5%	(.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 z y))
	55.5%	(.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) x) (.f64 z y))
▶	64.2%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
✓	62.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
▶	80.7%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x) y)
	17.8%	(.f64 (.f64 (neg.f64 y) (.f64 z x)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
▶	13.4%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
	57.1%	(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	59.9%	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
	71.3%	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
▶	61.1%	(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
	59.1%	(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
	22.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 (fma.f64 (/.f64 z (.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)))) (.f64 (*.f64 z y) x)))
	29.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (*.f64 z y) x)))
	54.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x)))
✓	73.9%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 682 to 609 computations (10.7% saved)

simplify145.0ms (1.2%)

Memory

-2.2MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
cost-diff	0	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
cost-diff	0	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
cost-diff	0	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))
cost-diff	0	(/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))
cost-diff	0	(.f64 z (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
cost-diff	0	(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
cost-diff	0	(/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
cost-diff	0	(/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z)))
cost-diff	0	(.f64 (/.f64 z #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x)
cost-diff	0	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x) y)
cost-diff	1024	(.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z)

Rules

3 828×	`lower-fma.f32`
3 822×	`lower-fma.f64`
3 536×	`lower-*.f32`
3 508×	`lower-*.f64`
2 296×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	401
0	79	417
1	140	417
2	240	417
3	398	417
4	972	381
5	1516	381
6	2545	381
7	4314	381
8	6764	381
0	8026	381

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.3%)

Memory

-18.7MiB live, 215.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
accuracy	0.08984375	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	1.5455641700101475	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
accuracy	25.8915527747799	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	0.9694874127148128	(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)
accuracy	1.7494040213084665	(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
accuracy	16.013581002458388	(.f64 z (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
accuracy	19.196839489911262	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))
accuracy	4.927426952705133	(.f64 (.f64 x y) z)
accuracy	10.855650490520393	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	18.718127396331592	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	25.8915527747799	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0	(neg.f64 z)
accuracy	0.05859375	(/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	21.641343958435044	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
accuracy	63.129525308580355	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.773520702479267	(.f64 (/.f64 z #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x)
accuracy	1.7494040213084665	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x) y)
accuracy	3.8287069100175954	(.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z)
accuracy	19.196839489911262	#s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))

Samples

97.0ms

256×

valid

Compiler

Compiled 306 to 40 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 37.0ms (49.6% of total)

ival-div: 24.0ms (32.2% of total)

ival-add: 6.0ms (8% of total)

ival-sqrt: 3.0ms (4% of total)

ival-neg: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series192.0ms (1.6%)

Memory

25.5MiB live, 337.2MiB allocated

Counts

24 → 996

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	t	@	0	((* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z))
9.0ms	z	@	inf	((* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z))
5.0ms	y	@	-inf	((* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z))
4.0ms	x	@	-inf	((* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z))
3.0ms	z	@	-inf	((* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z))

simplify547.0ms (4.6%)

Memory

-19.4MiB live, 387.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 410×	`lower-fma.f64`
8 410×	`lower-fma.f32`
7 982×	`lower-*.f64`
7 982×	`lower-*.f32`
6 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1017	27947
1	3367	27185
0	8432	26237

Stop Event

1×	iter limit
1×	node limit

Counts

996 → 964

Calls

Call 1

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

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

rewrite179.0ms (1.5%)

Memory

-8.0MiB live, 300.2MiB allocated

Rules

6 150×	`lower-fma.f32`
6 144×	`lower-fma.f64`
4 250×	`lower-*.f32`
4 222×	`lower-*.f64`
3 670×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	335
0	79	335
1	233	335
2	1310	335
0	8437	335

Stop Event

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

Counts

24 → 549

Calls

Call 1

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

Outputs
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eval317.0ms (2.7%)

Memory: 37.4MiB live, 466.5MiB allocated
Compiler: Compiled 41 674 to 3 571 computations (91.4% saved)

prune170.0ms (1.4%)

Memory

10.1MiB live, 205.9MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 498	15	1 513
Fresh	2	15	17
Picked	4	1	5
Done	0	2	2
Total	1 504	33	1 537

Accuracy

95.4%

Counts

1 537 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	17.8%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	35.9%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	27.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	60.1%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (.f64 (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))))
	20.6%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	63.1%	(/.f64 (.f64 (neg.f64 y) (.f64 x z)) (neg.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z))))
	16.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 y x) z)))
	38.4%	(.f64 (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
	80.6%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x))
	72.9%	(.f64 (/.f64 y #s(approx (sqrt (+ ( (neg a) t) (* z z))) (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z))) (/.f64 z (pow.f64 x #s(literal -1 binary64))))
	55.5%	(.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 z y))
✓	64.2%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
✓	62.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
	18.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) #s(approx (* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) x) y)
	17.8%	(.f64 (.f64 (neg.f64 y) (.f64 z x)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
▶	80.7%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64))) x) y)
	44.1%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
▶	55.5%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)))
	57.1%	(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
▶	39.8%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
	71.3%	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
	13.1%	(.f64 y (/.f64 z (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (neg.f64 z)) x)))
	61.1%	(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))
	18.6%	(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))))
	56.8%	(.f64 y (.f64 z (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z)) x)) #s(literal -1 binary64)))))
▶	54.5%	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))))
▶	59.1%	(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
	36.1%	(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z))) (.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
	22.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 (fma.f64 (/.f64 z (.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)))) (.f64 (*.f64 z y) x)))
	29.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (*.f64 z y) x)))
	54.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x)))
✓	73.9%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 936 to 853 computations (8.9% saved)

simplify150.0ms (1.3%)

Memory

-26.3MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
cost-diff	0	#s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))
cost-diff	0	(*.f64 z y)
cost-diff	0	(/.f64 (.f64 z y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))
cost-diff	0	(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (.f64 y x) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z))))
cost-diff	0	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))
cost-diff	0	(.f64 z #s(approx (/ x (sqrt (- ( z z) (* t a)))) (/.f64 x z)))
cost-diff	0	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))))
cost-diff	0	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64))) x) y)
cost-diff	192	(.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64))
cost-diff	1024	(.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)
cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64)))

Rules

6 202×	`lower-fma.f32`
6 196×	`lower-fma.f64`
4 784×	`lower-*.f32`
4 754×	`lower-*.f64`
1 830×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	528
0	86	536
1	146	535
2	241	535
3	375	527
4	867	483
5	1419	483
6	2661	483
7	3763	483
8	7067	483
0	8674	483

Stop Event

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

Calls

Call 1

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

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

localize281.0ms (2.4%)

Memory

-6.1MiB live, 427.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
accuracy	0.793183954625642	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	21.641343958435044	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)))
accuracy	24.87489299594395	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	0.0625	(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
accuracy	0.9694874127148128	(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)
accuracy	18.982464180624536	(/.f64 (.f64 z y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))
accuracy	19.196839489911262	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))
accuracy	4.964943913305125	(/.f64 (.f64 y x) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z))))
accuracy	8.100870315233035	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
accuracy	18.718127396331592	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	25.8915527747799	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0	(/.f64 x z)
accuracy	1.7494040213084665	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))))
accuracy	16.013581002458388	(.f64 z #s(approx (/ x (sqrt (- ( z z) (* t a)))) (/.f64 x z)))
accuracy	18.508240709163086	#s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))
accuracy	1.7494040213084665	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64))) x) y)
accuracy	3.8287069100175954	(.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)
accuracy	19.196839489911262	#s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z))
accuracy	25.716150800864295	(log.f64 (/.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z))

Samples

145.0ms	106×	2	valid
49.0ms	65×	1	valid
29.0ms	85×	0	valid

Compiler

Compiled 372 to 47 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 77.0ms (44% of total)

ival-log: 42.0ms (24% of total)

ival-div: 18.0ms (10.3% of total)

adjust: 12.0ms (6.9% of total)

ival-sqrt: 12.0ms (6.9% of total)

ival-add: 6.0ms (3.4% of total)

ival-exp: 5.0ms (2.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series209.0ms (1.8%)

Memory

-12.9MiB live, 192.6MiB allocated

Counts

25 → 1 068

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	t	@	inf	((exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) (* (+ (* (/ t z) (* -1/2 (/ a z))) 1) z) (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1) (* (* (exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) x) y) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (/ x z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) x) (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))))
16.0ms	x	@	0	((exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) (* (+ (* (/ t z) (* -1/2 (/ a z))) 1) z) (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1) (* (* (exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) x) y) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (/ x z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) x) (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))))
8.0ms	z	@	0	((exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) (* (+ (* (/ t z) (* -1/2 (/ a z))) 1) z) (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1) (* (* (exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) x) y) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (/ x z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) x) (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))))
6.0ms	a	@	inf	((exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) (* (+ (* (/ t z) (* -1/2 (/ a z))) 1) z) (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1) (* (* (exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) x) y) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (/ x z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) x) (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))))
5.0ms	a	@	-inf	((exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) (* (+ (* (/ t z) (* -1/2 (/ a z))) 1) z) (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1) (* (* (exp (* (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) -1)) x) y) (* y (* z (/ x (sqrt (- (* z z) (* t a)))))) (* z (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (/ x z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (/ x (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) x) (log (/ (sqrt (+ (* (neg a) t) (* z z))) z)) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))))

simplify295.0ms (2.5%)

Memory

42.4MiB live, 503.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 544×	`lower-fma.f64`
7 544×	`lower-fma.f32`
7 258×	`lower-*.f64`
7 258×	`lower-*.f32`
5 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1695	30983
1	5526	29949
0	8162	28970

Stop Event

1×	iter limit
1×	node limit

Counts

1 068 → 1 045

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t a) z) #s(literal 1 binary64))
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z)) (.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a (.f64 z z)) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) z) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z)))) a (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64))) a #s(literal 1 binary64))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z)
(* 1/2 (/ (* a t) (pow z 2)))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 t a) z))
(* a (+ (* 1/4 (/ (* a (pow t 2)) (pow z 4))) (* 1/2 (/ t (pow z 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 t z) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) a)) (pow.f64 z #s(literal 4 binary64)))) a)
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))) (* 1/4 (/ (pow t 2) (pow z 4)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (pow.f64 z #s(literal 4 binary64)))) a (.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64))) a)
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* -1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))) (* -1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) a) (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) z) (/.f64 #s(literal 5/64 binary64) z)) #s(literal -12 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) #s(literal -33/16 binary64))) (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))) a (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (pow.f64 z #s(literal 4 binary64)))) a (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64))) a)
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 y x) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z))) (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 y x) t) z))) a (*.f64 y x))
(+ (* 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))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x a) (.f64 (.f64 y (.f64 z z)) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) z) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (.f64 (.f64 y x) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (.f64 z z))))) a (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 y x) t) z))) a (.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)

rewrite178.0ms (1.5%)

Memory

2.8MiB live, 347.6MiB allocated

Rules

6 148×	`lower-fma.f32`
6 142×	`lower-fma.f64`
4 172×	`lower-*.f32`
4 142×	`lower-*.f64`
3 534×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	405
0	86	395
1	252	389
2	1375	388
0	8402	388

Stop Event

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

Counts

25 → 489

Calls

Call 1

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

Outputs
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eval187.0ms (1.6%)

Memory: 40.3MiB live, 375.6MiB allocated
Compiler: Compiled 46 533 to 4 933 computations (89.4% saved)

prune83.0ms (0.7%)

Memory

-58.9MiB live, 173.8MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 553	16	1 569
Fresh	4	21	25
Picked	4	1	5
Done	0	3	3
Total	1 561	41	1 602

Accuracy

95.4%

Counts

1 602 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	17.8%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	35.9%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	27.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	60.1%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (.f64 (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))))
	20.6%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	16.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (.f64 (.f64 y x) z)))
	38.4%	(.f64 (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
	80.6%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x))
	72.9%	(.f64 (/.f64 y #s(approx (sqrt (+ ( (neg a) t) (* z z))) (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z))) (/.f64 z (pow.f64 x #s(literal -1 binary64))))
	55.5%	(.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 z y))
	80.7%	(.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z)) z))) x) y)
✓	64.2%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
✓	62.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
	18.1%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) #s(approx (* (+ (* (* (/ a z) -1/2) (/ t z)) 1) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) x) y)
	80.4%	(.f64 (.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) x) y)
	17.8%	(.f64 (.f64 (neg.f64 y) (.f64 z x)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))))
	80.6%	(.f64 (.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))))) x) y)
	71.6%	(.f64 (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 z)))) (-.f64 (log.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) (neg.f64 (log.f64 z)))) #s(literal -1 binary64))) x) y)
	64.8%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) #s(approx (* (+ (* (/ t z) (* -1/2 (/ a z))) 1) z) (*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a))) z)) #s(literal -1 binary64))) x) y)
	44.1%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
	30.4%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 (/.f64 #s(literal -1 binary64) a) t))) x)))
	44.1%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) x)))
	57.1%	(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	53.5%	(.f64 (.f64 y #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))) z)
	28.4%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	71.3%	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
	64.5%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 y x) z)))
	12.8%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 x) (/.f64 y z))))
	61.1%	(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)))))
	56.8%	(.f64 y (.f64 z (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z)) x)) #s(literal -1 binary64)))))
✓	54.5%	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z))))
	52.9%	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 z x)))))
	54.4%	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))))
	50.2%	(.f64 y (.f64 z #s(approx (/ x (sqrt (- (* z z) (* t a)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))))))
	59.2%	(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z))))
	56.8%	(.f64 x (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 y z))) #s(literal -1 binary64))))
	36.1%	(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z))) (.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
	29.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (*.f64 z y) x)))
	54.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x)))
✓	73.9%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 1 554 to 842 computations (45.8% saved)

regimes140.0ms (1.2%)

Memory

23.9MiB live, 257.8MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

19.0ms	y
19.0ms	x
18.0ms	z
17.0ms	t
16.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
80.7%	1	`x`
80.7%	1	`y`
91.0%	2	`z`
80.7%	1	`t`
80.7%	1	`a`
91.3%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
80.7%	1	`(*.f64 x y)`
84.3%	2	`(*.f64 t a)`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes18.0ms (0.2%)

Memory

-1.1MiB live, 38.0MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
91.0%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes41.0ms (0.3%)

Memory

-23.6MiB live, 20.8MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
91.0%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes12.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
89.9%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes32.0ms (0.3%)

Memory

-10.6MiB live, 28.4MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

22.0ms	z
8.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
85.5%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
86.9%	3	`z`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.3%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes66.0ms (0.6%)

Memory

-10.3MiB live, 26.9MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

49.0ms	(*.f64 t a)
8.0ms	z
7.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
73.9%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
78.9%	2	`(*.f64 t a)`
84.0%	3	`z`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes9.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes89.0ms (0.8%)

Memory

7.0MiB live, 44.9MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

52.0ms	a
7.0ms	z
7.0ms	y
7.0ms	x
7.0ms	t

Results

Accuracy	Segments	Branch
76.6%	2	`y`
73.9%	1	`t`
75.6%	2	`a`
75.8%	2	`(*.f64 x y)`
73.9%	1	`x`
81.7%	2	`z`

Compiler

Compiled 8 to 31 computations (-287.5% saved)

regimes8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
79.9%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes104.0ms (0.9%)

Memory

-35.4MiB live, 19.7MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

97.0ms	z
5.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
73.9%	1	`(*.f64 t a)`
77.0%	2	`z`

Compiler

Compiled 4 to 11 computations (-175% saved)

regimes7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
73.9%	1	`y`
76.0%	2	`z`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes90.0ms (0.8%)

Memory

-22.2MiB live, 17.0MiB allocated

Accuracy

Total -39.3b remaining (-235.3%)

Threshold costs -39.3b (-235.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	(*.f64 x y)
3.0ms	z
3.0ms	a

Results

Accuracy	Segments	Branch
73.9%	1	`a`
73.9%	1	`(*.f64 x y)`
73.9%	1	`z`

Compiler

Compiled 5 to 16 computations (-220% saved)

bsearch17.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	1.2409307082775306e+141	3.4298091303209376e+144

Samples

9.0ms	128×	0	valid
0.0ms	5×	0	invalid

Compiler

Compiled 313 to 292 computations (6.7% saved)

Precisions

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

ival-mult: 3.0ms (54.2% of total)

ival-sub: 1.0ms (18.1% of total)

ival-div: 1.0ms (18.1% of total)

ival-sqrt: 1.0ms (18.1% of total)

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

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.2409307082775306e+141	3.4298091303209376e+144

Compiler

Compiled 281 to 260 computations (7.5% saved)

bsearch84.0ms (0.7%)

Memory

-15.9MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
82.0ms	1.599106425647073e+135	3.597899034987807e+139

Samples

77.0ms	112×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 220 to 209 computations (5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sqrt: 70.0ms (94.1% of total)

ival-mult: 3.0ms (4% of total)

ival-div: 1.0ms (1.3% of total)

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

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

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

bsearch16.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1309570233934874e+21	1.9141495068802205e+22

Samples

8.0ms	112×	0	valid
1.0ms	16×	0	invalid

Compiler

Compiled 220 to 209 computations (5% saved)

Precisions

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

ival-mult: 3.0ms (56.2% 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)

bsearch88.0ms (0.7%)

Memory

-25.4MiB live, 13.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	1.599106425647073e+135	3.597899034987807e+139
14.0ms	4.0924944512154744e-144	3.478315407566987e-143

Samples

8.0ms	112×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 417 to 404 computations (3.1% saved)

Precisions

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

ival-mult: 4.0ms (63.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-sqrt: 1.0ms (15.9% of total)

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

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

bsearch8.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.495674863532167e-169	8.643412626864662e-169

Samples

3.0ms	48×	0	valid
1.0ms	20×	0	invalid

Compiler

Compiled 104 to 107 computations (-2.9% saved)

Precisions

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

ival-mult: 2.0ms (72.7% of total)

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

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

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

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

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

bsearch11.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.168012425731367e+19	1.2523348874923691e+20
0.0ms	6.495674863532167e-169	8.643412626864662e-169

Samples

6.0ms	80×	0	valid
0.0ms	6×	0	invalid

Compiler

Compiled 199 to 217 computations (-9% saved)

Precisions

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

ival-mult: 2.0ms (56.4% of total)

ival-sqrt: 1.0ms (28.2% 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)

bsearch16.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	13202806835242208.0	423413309349580860.0
0.0ms	6.495674863532167e-169	8.643412626864662e-169

Samples

8.0ms	112×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 237 to 261 computations (-10.1% saved)

Precisions

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

ival-mult: 3.0ms (57.3% of total)

ival-sub: 1.0ms (19.1% of total)

ival-div: 1.0ms (19.1% of total)

ival-sqrt: 1.0ms (19.1% of total)

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

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

bsearch20.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.037399153067732e-93	2.2709207233633737e-89

Samples

9.0ms	128×	0	valid
3.0ms	41×	0	invalid

Compiler

Compiled 161 to 204 computations (-26.7% saved)

Precisions

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

ival-mult: 4.0ms (58.5% of total)

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

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

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

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

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

bsearch54.0ms (0.5%)

Memory

-35.4MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.037399153067732e-93	2.2709207233633737e-89

Samples

1.0ms	16×	0	valid
1.0ms	12×	0	invalid

Compiler

Compiled 145 to 188 computations (-29.7% saved)

Precisions

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

ival-mult: 1.0ms (92.9% of total)

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

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

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

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

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

bsearch22.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.738414237620716e-72	1.866323617167689e-62

Samples

10.0ms	144×	0	valid
3.0ms	47×	0	invalid

Compiler

Compiled 152 to 209 computations (-37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (64.7% of total)

ival-sub: 1.0ms (12.9% of total)

ival-div: 1.0ms (12.9% of total)

ival-sqrt: 1.0ms (12.9% of total)

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

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

bsearch60.0ms (0.5%)

Memory

7.8MiB live, 47.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	6.6759212249646076e-226	1.7756849767787512e-224

Samples

50.0ms	112×	0	valid
3.0ms	44×	0	invalid

Compiler

Compiled 108 to 153 computations (-41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 46.0ms (94.8% of total)

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

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

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

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

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

simplify154.0ms (1.3%)

Memory

-19.7MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`-commutative-binary64-.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`+-commutative-binary64-+.f64`
10×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	716
1	164	715
2	174	715
3	181	715
4	185	715
5	187	715

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64))) x) y))
(if (<=.f64 z #s(literal 1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (.f64 (/.f64 z #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x) y))
(if (<=.f64 z #s(literal 220000000000000015488343357503191224276084115008752570867767490830439582575843299949752679891991853605334021548991996422192818252318507008 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x)))
(if (<=.f64 z #s(literal 17500000000000001048576 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x)))
(if (<=.f64 z #s(literal 1812306582274481/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (.f64 z y) x))) (if (<=.f64 z #s(literal 209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x))))
(if (<=.f64 z #s(literal 7223476702308033/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (.f64 z y) x))) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x)))
(if (<=.f64 z #s(literal 7223476702308033/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (.f64 z y) x))) (if (<=.f64 z #s(literal 70000000000000000000 binary64)) (.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))))
(if (<=.f64 z #s(literal 7223476702308033/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (.f64 z y) x))) (if (<=.f64 z #s(literal 235000000000000000 binary64)) (.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))))
(if (<=.f64 z #s(literal 6238316235492995/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (.f64 z y) x))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 6054836346213789/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 6962525309737013/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 7293140785962341/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) (/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Outputs
(if (<=.f64 z #s(literal 1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ (* (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) (/.f64 a z)) #s(literal 1 binary64)) z)) z)) #s(literal -1 binary64))) x) y))
(if (<=.f64 z #s(literal 1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352 binary64)) (.f64 x (.f64 y (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))) (.f64 (.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (/.f64 t z) (.f64 (/.f64 a z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) z)))) x) y))
(if (<=.f64 z #s(literal 1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (.f64 (/.f64 z #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x) y))
(if (<=.f64 z #s(literal 1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352 binary64)) (.f64 x (.f64 y (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))) (.f64 (.f64 (/.f64 z #s(approx (sqrt (+ ( (neg a) t) (* z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal 1 binary64)) z))) x) y))
(if (<=.f64 z #s(literal 220000000000000015488343357503191224276084115008752570867767490830439582575843299949752679891991853605334021548991996422192818252318507008 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 y x)))
(if (<=.f64 z #s(literal 220000000000000015488343357503191224276084115008752570867767490830439582575843299949752679891991853605334021548991996422192818252318507008 binary64)) (.f64 x (.f64 y (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))) (.f64 (.f64 x y) (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))
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(if (<=.f64 z #s(literal 7223476702308033/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))) (.f64 (.f64 z y) x))) (if (<=.f64 z #s(literal 235000000000000000 binary64)) (.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))))
(if (<=.f64 z #s(literal 7223476702308033/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 t a)))))) (if (<=.f64 z #s(literal 235000000000000000 binary64)) (.f64 (/.f64 (.f64 y z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) x) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))))
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(if (<=.f64 z #s(literal 6054836346213789/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 (/.f64 (.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) z) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
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(if (<=.f64 z #s(literal 7293140785962341/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) (/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 7293140785962341/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))

soundness1.5s (12.4%)

Memory

-15.9MiB live, 1 108.2MiB allocated

Rules

9 708×	`lower-fma.f32`
9 704×	`lower-fma.f64`
8 704×	`lower-*.f64`
8 704×	`lower-*.f32`
7 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	995	21591
1	3245	21033
0	8297	20340
0	47	335
0	79	335
1	233	335
2	1310	335
0	8437	335
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8429	37
0	1695	30983
1	5526	29949
0	8162	28970
0	39	222
0	62	218
1	192	217
2	1042	217
0	9135	217
0	495	3663
1	1609	3591
2	6491	3573
0	8282	3461

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

Compiler

Compiled 1 076 to 651 computations (39.5% saved)

preprocess727.0ms (6.1%)

Memory: 26.7MiB live, 1 097.9MiB allocated
Remove: (sort t a)
Compiler: Compiled 2 308 to 1 334 computations (42.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze275.0ms (2.3%)

sample2.0s (17.3%)

explain147.0ms (1.2%)

preprocess247.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify67.0ms (0.6%)

localize46.0ms (0.4%)

series59.0ms (0.5%)

simplify239.0ms (2%)

rewrite183.0ms (1.5%)

eval87.0ms (0.7%)

prune21.0ms (0.2%)

simplify515.0ms (4.4%)

localize114.0ms (1%)

series153.0ms (1.3%)

simplify367.0ms (3.1%)

rewrite226.0ms (1.9%)

eval514.0ms (4.3%)

prune65.0ms (0.6%)

simplify145.0ms (1.2%)

localize155.0ms (1.3%)

series192.0ms (1.6%)

simplify547.0ms (4.6%)

rewrite179.0ms (1.5%)

eval317.0ms (2.7%)

prune170.0ms (1.4%)

simplify150.0ms (1.3%)

localize281.0ms (2.4%)

series209.0ms (1.8%)

simplify295.0ms (2.5%)

rewrite178.0ms (1.5%)

eval187.0ms (1.6%)

prune83.0ms (0.7%)

regimes140.0ms (1.2%)

regimes18.0ms (0.2%)

regimes41.0ms (0.3%)

regimes12.0ms (0.1%)

regimes32.0ms (0.3%)

regimes11.0ms (0.1%)

regimes66.0ms (0.6%)

regimes9.0ms (0.1%)

regimes89.0ms (0.8%)

regimes8.0ms (0.1%)

regimes104.0ms (0.9%)

regimes7.0ms (0.1%)

regimes90.0ms (0.8%)

bsearch17.0ms (0.1%)

bsearch2.0ms (0%)

bsearch84.0ms (0.7%)

bsearch16.0ms (0.1%)

bsearch88.0ms (0.7%)

bsearch8.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch54.0ms (0.5%)

bsearch22.0ms (0.2%)

bsearch60.0ms (0.5%)

simplify154.0ms (1.3%)

soundness1.5s (12.4%)

preprocess727.0ms (6.1%)

end0.0ms (0%)

Profiling