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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze604.0ms (6.7%)

Memory

-29.0MiB live, 252.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.6s (17.7%)

Memory

49.1MiB live, 1 962.4MiB allocated

Samples

858.0ms	8 256×	0	valid
196.0ms	2 076×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 632.0ms

ival-mult: 412.0ms (65.2% of total)

ival-sqrt: 102.0ms (16.1% of total)

ival-div: 59.0ms (9.3% of total)

ival-sub: 46.0ms (7.3% of total)

ival-true: 8.0ms (1.3% of total)

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

Bogosity

explain210.0ms (2.3%)

Memory

19.2MiB live, 343.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
96	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
33	-	1	(1.0474588209281956e-268 1.904654107101346e+163 -9.1671997611182e-216 6.439760358077387e-308 -1.2602843537290481e-288)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
29	-	3	(3.877075887297473e-188 6.889430786922739e-128 7.3884303467420396e+230 1.1865434578374981e+247 118.95680970817911)	`(.f64 (.f64 x y) z)`
1	-	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	95	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	95
↳	`(*.f64 t a)`	overflow	22
↳	`(*.f64 z z)`	overflow	81
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	29	0
↳	`(*.f64 x y)`	overflow	44
↳	`(.f64 (.f64 x y) z)`	overflow	56
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	14	0
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	12	0
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	3	0
↳	`(*.f64 x y)`	underflow	28
↳	`(.f64 (.f64 x y) z)`	underflow	27
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	1	0
↳	`(*.f64 z z)`	overflow	81
↳	`(*.f64 t a)`	overflow	22
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	1	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	1
↳	`(*.f64 t a)`	underflow	32
↳	`(*.f64 z z)`	underflow	38

Confusion

	Predicted +	Predicted -
+	102	0
-	20	134

Precision

0.8360655737704918

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	0
-	20	0	134

Precision?

0.8360655737704918

Recall?

1.0

Freqs

test

number	freq
0	134
1	90
2	31
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions

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

ival-mult: 16.0ms (60% of total)

ival-div: 4.0ms (15% of total)

ival-sqrt: 4.0ms (15% of total)

ival-sub: 2.0ms (7.5% of total)

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

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

preprocess171.0ms (1.9%)

Memory

-3.7MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	295
1	234	285
2	604	285
3	1323	285
4	2588	285
5	3167	285
6	3322	285
7	3345	285
8	3349	285
9	3349	285
10	3416	285
0	12	14
0	19	14
1	33	14
2	71	14
3	133	14
4	192	14
5	274	14
6	382	14
7	491	14
8	510	14
0	510	14

Stop Event

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

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify97.0ms (1.1%)

Memory

-30.1MiB live, 16.7MiB 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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	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

localize37.0ms (0.4%)

Memory

12.6MiB live, 55.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21093750000000003	(-.f64 (.f64 z z) (.f64 t a))
accuracy	6.384843740358429	(.f64 (.f64 x y) z)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	22.40736306734902	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

23.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (62.8% of total)

ival-sqrt: 2.0ms (15.7% of total)

ival-sub: 1.0ms (7.9% of total)

ival-div: 1.0ms (7.9% of total)

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

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

series53.0ms (0.6%)

Memory

-8.8MiB live, 97.9MiB allocated

Counts

5 → 65

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
10.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	t	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
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)))
3.0ms	x	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify232.0ms (2.6%)

Memory

27.5MiB live, 345.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2455
1	1730	2376
0	8072	2271

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite133.0ms (1.5%)

Memory

3.6MiB live, 190.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	19	37
1	53	37
2	301	37
3	2861	37
0	9079	32

Stop Event

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

Counts

5 → 313

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 z (.f64 y x)) (hypot.f64 (.f64 z z) (.f64 a t))) (hypot.f64 (sqrt.f64 (.f64 a t)) z))
(.f64 (/.f64 (.f64 z (.f64 y x)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 a t) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (/.f64 (neg.f64 x) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 (.f64 z y) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 (.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 (.f64 z x) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 y (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 y (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 (.f64 z x) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 (.f64 z y) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 x (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 x (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (/.f64 (.f64 z y) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(.f64 (/.f64 (.f64 y x) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) z)
(.f64 (.f64 (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) x) y)
(.f64 (.f64 (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) y) x)
(.f64 (.f64 z x) (/.f64 y (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 (.f64 z x) (/.f64 (neg.f64 y) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 (.f64 (neg.f64 x) y) (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 (neg.f64 x) (.f64 (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) y))
(.f64 (/.f64 z (hypot.f64 (sqrt.f64 (.f64 a t)) z)) (*.f64 y x))
(.f64 (.f64 z y) (/.f64 x (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 (.f64 z y) (/.f64 (neg.f64 x) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 z (/.f64 (.f64 (neg.f64 x) y) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 z (/.f64 (.f64 y x) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 (.f64 y x) (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 y (.f64 (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) x))
(.f64 x (.f64 (/.f64 z (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) y))
(/.f64 (neg.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z)))) (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))))
(/.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z)))
(/.f64 (.f64 z (.f64 y x)) (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(/.f64 (.f64 z (.f64 y x)) (hypot.f64 (sqrt.f64 (*.f64 a t)) z))
(neg.f64 (.f64 (/.f64 z (hypot.f64 (sqrt.f64 (.f64 a t)) z)) (*.f64 y x)))
(.f64 (.f64 (neg.f64 x) z) y)
(.f64 (neg.f64 (.f64 z x)) y)
(.f64 (neg.f64 y) (.f64 z x))
(.f64 (neg.f64 (.f64 (neg.f64 x) y)) z)
(.f64 (neg.f64 (neg.f64 x)) (.f64 z y))
(.f64 (.f64 z x) (neg.f64 y))
(.f64 (.f64 z x) y)
(.f64 (.f64 (neg.f64 x) y) z)
(.f64 (neg.f64 x) (.f64 z y))
(.f64 (.f64 z y) (neg.f64 x))
(.f64 (.f64 z y) x)
(.f64 z (neg.f64 (.f64 (neg.f64 x) y)))
(.f64 z (.f64 (neg.f64 x) y))
(.f64 z (.f64 y x))
(.f64 (.f64 y x) z)
(.f64 y (neg.f64 (.f64 z x)))
(.f64 y (.f64 z x))
(.f64 x (.f64 z y))
(neg.f64 (.f64 z (.f64 y x)))
(*.f64 y x)
(*.f64 x y)
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z)))) (neg.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 z z (.f64 a t)) (.f64 a t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64))))) (sqrt.f64 (fma.f64 (.f64 (fma.f64 z z (.f64 a t)) (.f64 a t)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 2 binary64)))) (hypot.f64 (sqrt.f64 (.f64 a t)) z))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 z z (.f64 a t)) (.f64 a t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (fma.f64 z z (.f64 a t)) (.f64 a t)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (hypot.f64 (sqrt.f64 (.f64 a t)) z))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z))) (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a t)) z))))
(.f64 (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (fma.f64 z z (.f64 a t)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (/.f64 (fma.f64 z z (.f64 a t)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
(.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z) (sqrt.f64 (/.f64 (fma.f64 z z (.f64 a t)) (fma.f64 z z (.f64 a t)))))
(.f64 (hypot.f64 (sqrt.f64 (.f64 a t)) z) (pow.f64 (/.f64 (fma.f64 z z (.f64 a t)) (fma.f64 z z (.f64 a t))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 z z (*.f64 a t))))
(pow.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a t)) z))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 z z (*.f64 a t)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 z z (*.f64 a t)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (.f64 z z) (.f64 a t)))) (hypot.f64 (sqrt.f64 (*.f64 a t)) z))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 a t) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (fma.f64 z z (.f64 a t))) #s(literal 2 binary64)))) (hypot.f64 (sqrt.f64 (.f64 a t)) z))
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(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 t) a)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 z z)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 z z)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 t) a)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 (neg.f64 t) a) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (.f64 (.f64 z z) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))))
(+.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (.f64 (.f64 (neg.f64 t) a) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 t) a)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 z z)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 z z)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 t) a)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 z z (.f64 a t)) #s(literal 3 binary64))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64))) (pow.f64 (.f64 a t) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (*.f64 a t)) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 z z (.f64 a t)) (.f64 a t)) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (fma.f64 z z (.f64 a t)))) (/.f64 (pow.f64 (.f64 a t) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 z z (.f64 a t)) (.f64 a t)) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (fma.f64 z z (*.f64 a t)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 a t) #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 a t) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 a t) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (*.f64 a t) z) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 a t) #s(literal 3/2 binary64))) (pow.f64 (.f64 a t) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (*.f64 a t) z) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64))) (.f64 a t)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (*.f64 a t) z) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 a t) z) z)))) (/.f64 (pow.f64 (.f64 a t) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (*.f64 a t) z) z)))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 z z (.f64 a t)))) (sinh.f64 (log.f64 (fma.f64 z z (.f64 a t)))))
(+.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 a)) t))
(+.f64 (.f64 z z) (.f64 (neg.f64 a) (neg.f64 t)))
(+.f64 (.f64 z z) (.f64 (neg.f64 t) a))
(+.f64 (.f64 z z) (.f64 a t))
(+.f64 (/.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 a a) t)) t) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 t t) a)) a) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 t t)) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 a) (.f64 (.f64 t t) a)) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (/.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64)) (fma.f64 z z (*.f64 a t))))
(+.f64 (/.f64 (pow.f64 (.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 a t) #s(literal 3/2 binary64))) (pow.f64 (.f64 a t) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 a t) #s(literal 2 binary64))) (.f64 a t)) (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 a t)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 z z (.f64 a t)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (.f64 (neg.f64 t) a) (.f64 z z))
(+.f64 (.f64 a t) (.f64 z z))

eval101.0ms (1.1%)

Memory: -21.4MiB live, 129.2MiB allocated
Compiler: Compiled 14 389 to 1 662 computations (88.4% saved)

prune13.0ms (0.1%)

Memory

38.4MiB live, 38.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	365	11	376
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	11	377

Accuracy

91.0%

Counts

377 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
▶	60.4%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	27.0%	(/.f64 (.f64 (.f64 x y) z) (/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 a t))) (.f64 (fma.f64 z z (.f64 a t)) (pow.f64 (.f64 a t) #s(literal 2 binary64))))) (hypot.f64 (.f64 z z) (*.f64 a t))))
	29.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
▶	44.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	70.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
	16.4%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	41.5%	(.f64 (/.f64 z (hypot.f64 (sqrt.f64 (.f64 a t)) z)) (*.f64 y x))
▶	60.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
	63.8%	#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)))
▶	13.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 472 to 346 computations (26.7% saved)

simplify143.0ms (1.6%)

Memory

-22.8MiB live, 117.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	278
0	67	278
1	118	278
2	273	278
3	739	276
4	2994	276
5	6476	276
0	8349	274

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.2%)

Memory

36.8MiB live, 123.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.463677469812663	(.f64 (.f64 (*.f64 y x) t) a)
accuracy	5.9618850662083265	(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x))
accuracy	6.673419403212525	(.f64 (.f64 y x) t)
accuracy	19.518114988932858	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
accuracy	0.21093750000000003	(-.f64 (.f64 z z) (.f64 t a))
accuracy	3.9019574973114177	(.f64 (.f64 z x) y)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	22.40736306734902	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
accuracy	6.384843740358429	(.f64 (.f64 x y) z)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	18.727209012081037	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	22.40736306734902	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	55.25002312612554	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
accuracy	0.7571331854900311	(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
accuracy	6.384843740358429	(.f64 (.f64 x y) z)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
accuracy	19.025657420992754	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))

Samples

86.0ms

256×

valid

Compiler

Compiled 230 to 32 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sqrt: 30.0ms (48.3% of total)

ival-mult: 19.0ms (30.6% of total)

ival-div: 8.0ms (12.9% of total)

ival-add: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (1.1%)

Memory

-17.8MiB live, 126.9MiB allocated

Counts

22 → 88

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	((/ (* (* 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)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (- (* z z) (* t a)) (* (* y x) t) (* (* (* y x) t) a))
9.0ms	z	@	0	((/ (* (* 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)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (- (* z z) (* t a)) (* (* y x) t) (* (* (* y x) t) a))
8.0ms	z	@	inf	((/ (* (* 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)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (- (* z z) (* t a)) (* (* y x) t) (* (* (* y x) t) a))
5.0ms	x	@	-inf	((/ (* (* 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)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (- (* z z) (* t a)) (* (* y x) t) (* (* (* y x) t) a))
4.0ms	y	@	-inf	((/ (* (* 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)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (- (* z z) (* t a)) (* (* y x) t) (* (* (* y x) t) a))

simplify225.0ms (2.5%)

Memory

9.1MiB live, 345.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	2740
1	1985	2656
0	8524	2542

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 87

Calls

Call 1

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

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

rewrite227.0ms (2.5%)

Memory

6.3MiB live, 341.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	230
0	67	230
1	174	230
2	972	230
0	8737	230

Stop Event

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

Counts

22 → 417

Calls

Call 1

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

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

eval69.0ms (0.8%)

Memory: -12.4MiB live, 174.9MiB allocated
Compiler: Compiled 19 503 to 1 955 computations (90% saved)

prune38.0ms (0.4%)

Memory

6.6MiB live, 98.2MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	493	15	508
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	498	21	519

Accuracy

95.7%

Counts

519 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
▶	42.2%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	18.6%	(/.f64 (.f64 (.f64 z x) y) (/.f64 (hypot.f64 (.f64 z z) (.f64 a t)) (sqrt.f64 (neg.f64 (fma.f64 a t (*.f64 z z))))))
✓	60.4%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	43.1%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	29.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
✓	44.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	16.4%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	20.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a))))
	45.8%	(.f64 (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
▶	79.2%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x))
▶	78.6%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y)
▶	67.0%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x)
	63.6%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z)
	63.6%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	43.2%	(.f64 z (.f64 x (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))))
	45.3%	(.f64 y (/.f64 (.f64 z x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
	66.6%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	63.8%	#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)))
✓	13.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
	14.2%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (.f64 (.f64 (/.f64 a z) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 t y) x) z))))

Compiler

Compiled 827 to 609 computations (26.4% saved)

simplify42.0ms (0.5%)

Memory

-4.0MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	339
0	61	339
1	107	339
2	210	339
3	365	339
4	604	339
5	1010	339
6	1339	339
7	1670	339
8	1688	339
0	1688	339

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize289.0ms (3.2%)

Memory

-1.0MiB live, 193.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x)
accuracy	0.07421875	(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	5.895746015518586	(.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) z)
accuracy	22.40736306734902	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	0.7571331854900311	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	1.2255049708223424	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x)
accuracy	3.576225731420086	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y)
accuracy	19.025657420992754	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))
accuracy	3.935090068435425	(.f64 (.f64 z y) x)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	18.727209012081037	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	22.40736306734902	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(neg.f64 z)
accuracy	6.384843740358429	(.f64 (.f64 x y) z)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.20108430116945	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.078125	(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
accuracy	0.7571331854900311	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	4.0983458314761405	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x))
accuracy	19.025657420992754	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))

Samples

83.0ms

256×

valid

Compiler

Compiled 267 to 35 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 29.0ms (47.7% of total)

ival-mult: 22.0ms (36.2% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-add: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (1.2%)

Memory

-6.9MiB live, 97.1MiB allocated

Counts

20 → 173

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	y	@	-inf	((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)))
20.0ms	a	@	inf	((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)))
5.0ms	t	@	0	((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)))
5.0ms	t	@	inf	((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)))
5.0ms	z	@	0	((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (neg z) (- (* z z) (* t a)))

simplify289.0ms (3.2%)

Memory

6.2MiB live, 378.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1016	7252
1	3696	6967
0	8070	6689

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 170

Calls

Call 1

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

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

rewrite208.0ms (2.3%)

Memory

26.3MiB live, 322.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	242
0	61	242
1	160	242
2	816	242
0	8393	228

Stop Event

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

Counts

20 → 305

Calls

Call 1

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

Outputs
(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) (.f64 y z))
(.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) z)
(.f64 (.f64 (neg.f64 x) y) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
(.f64 (.f64 (neg.f64 y) z) (/.f64 x (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))))
(.f64 (neg.f64 x) (/.f64 (.f64 y z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))))
(.f64 (.f64 x z) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
(.f64 (/.f64 (.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) x)
(.f64 (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) y)
(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
(.f64 (neg.f64 z) (/.f64 (.f64 x y) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))))
(.f64 (.f64 x y) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
(.f64 x (/.f64 (.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
(.f64 y (/.f64 (.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) (.f64 x y))
(.f64 z (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) y))
(.f64 z (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
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(pow.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (hypot.f64 (.f64 z z) (.f64 a t))) (neg.f64 (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 a t) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 a t (.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (.f64 z z) (.f64 a t)) (sqrt.f64 (fma.f64 a t (*.f64 z z))))
(/.f64 (hypot.f64 (pow.f64 (.f64 a t) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 a t (.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(sqrt.f64 (fma.f64 a t (*.f64 z z)))
(exp.f64 (.f64 (log.f64 (fma.f64 a t (.f64 z z))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 a t (.f64 z z))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 a t (.f64 z z))) #s(literal 1/2 binary64))))
(neg.f64 z)
#s(approx (- (* z z) (* t a)) (*.f64 z z))

eval121.0ms (1.3%)

Memory: -13.2MiB live, 176.3MiB allocated
Compiler: Compiled 25 736 to 2 386 computations (90.7% saved)

prune57.0ms (0.6%)

Memory

-28.0MiB live, 70.6MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	575	6	581
Fresh	2	11	13
Picked	2	3	5
Done	1	2	3
Total	580	22	602

Accuracy

95.7%

Counts

602 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.1%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	18.6%	(/.f64 (.f64 (.f64 z x) y) (/.f64 (hypot.f64 (.f64 z z) (.f64 a t)) (sqrt.f64 (neg.f64 (fma.f64 a t (*.f64 z z))))))
✓	60.4%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	43.1%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	16.9%	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	29.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	20.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a))))
	45.8%	(.f64 (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
✓	79.2%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x))
	40.8%	(.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 y z))
✓	78.6%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y)
✓	67.0%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x)
▶	63.6%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z)
▶	43.9%	(.f64 (.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) z) y)
▶	74.6%	(.f64 (.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) x) y)
▶	71.2%	(.f64 (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x)
	63.6%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	43.2%	(.f64 z (.f64 x (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))))
	45.3%	(.f64 y (/.f64 (.f64 z x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
	66.6%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	63.8%	#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)))
✓	13.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 773 to 583 computations (24.6% saved)

simplify38.0ms (0.4%)

Memory

17.0MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	300
0	63	300
1	102	300
2	183	300
3	263	300
4	371	300
5	615	300
6	879	300
7	1163	300
8	1205	300
9	1241	300
10	1254	300
11	1267	300
0	1267	300

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (1.6%)

Memory

9.5MiB live, 196.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	2.052115542809345	(.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
accuracy	7.155902931293954	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z)
accuracy	22.40736306734902	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	3.935090068435425	(.f64 (.f64 z y) x)
accuracy	7.6588309509674986	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	22.40736306734902	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	41.898733273151734	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	3.576225731420086	(.f64 (.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) z) y)
accuracy	12.94340192545865	(.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)))) z)
accuracy	18.727209012081037	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	22.40736306734902	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(/.f64 y z)
accuracy	0.03515625	(.f64 (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x)
accuracy	5.895746015518586	(.f64 #s(approx (/ y (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 y z)) z)
accuracy	18.084860781082387	#s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))
accuracy	1.2255049708223424	(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) x)
accuracy	3.576225731420086	(.f64 (.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) x) y)
accuracy	19.36821728171163	#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))

Samples

119.0ms

256×

valid

Compiler

Compiled 257 to 31 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 59.0ms (59.1% of total)

ival-sqrt: 27.0ms (27% of total)

ival-div: 7.0ms (7% of total)

ival-sub: 4.0ms (4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series105.0ms (1.2%)

Memory

-18.1MiB live, 93.7MiB allocated

Counts

21 → 216

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ y z) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) z) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (- (* z z) (* t a)))
4.0ms	y	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ y z) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) z) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (- (* z z) (* t a)))
4.0ms	x	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ y z) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) z) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (- (* z z) (* t a)))
3.0ms	x	@	0	((* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ y z) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) z) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (- (* z z) (* t a)))
3.0ms	t	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ y z) (* (* (/ x (sqrt (- (* z z) (* t a)))) z) y) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) z) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (- (* z z) (* t a)) (- (* z z) (* t a)))

simplify227.0ms (2.5%)

Memory

17.3MiB live, 291.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1180	9674
1	4292	9445
0	9298	9049

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

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

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

rewrite160.0ms (1.8%)

Memory

-0.1MiB live, 239.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	260
0	63	260
1	145	260
2	638	260
3	5711	260
0	8705	242

Stop Event

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

Counts

21 → 223

Calls

Call 1

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

Outputs
(.f64 (.f64 y #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))) x)
(.f64 (.f64 y x) #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)))
(.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
(.f64 (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))) y)
(.f64 x (.f64 y #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x))
(.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))
(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) x)
#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) x) z)
(.f64 (.f64 x z) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)))
(.f64 (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x)
(.f64 #s(approx (/ y (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 y z)) (*.f64 x z))
(.f64 x (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z))
(.f64 z (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) x))
(.f64 #s(approx (/ y (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 y z)) z)
(.f64 z #s(approx (/ y (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 y z)))
#s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))
(/.f64 (neg.f64 y) z)
(/.f64 y z)
(neg.f64 (/.f64 y z))
(.f64 (/.f64 (.f64 x z) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 y (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 x z) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 y z) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 x (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 y z) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) z)
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(.f64 y (/.f64 x (sqrt.f64 (fma.f64 a t (.f64 z z)))))
(.f64 x (/.f64 y (sqrt.f64 (fma.f64 a t (.f64 z z)))))
(/.f64 (/.f64 (.f64 y x) (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 y) x)) (sqrt.f64 (fma.f64 a t (.f64 z z))))
(/.f64 (.f64 (neg.f64 y) x) (neg.f64 (sqrt.f64 (fma.f64 a t (.f64 z z)))))
(/.f64 (.f64 y x) (sqrt.f64 (fma.f64 a t (.f64 z z))))
(neg.f64 (/.f64 (.f64 (neg.f64 y) x) (sqrt.f64 (fma.f64 a t (.f64 z z)))))
(neg.f64 (/.f64 (.f64 y x) (neg.f64 (sqrt.f64 (fma.f64 a t (.f64 z z))))))
(neg.f64 (.f64 x (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 a t (.f64 z z))))))
(neg.f64 (.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 a t (.f64 z z)))) x))
(.f64 (/.f64 y (hypot.f64 (.f64 z z) (.f64 a t))) (sqrt.f64 (fma.f64 a t (.f64 z z))))
(.f64 (/.f64 y (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 a t) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 a t (.f64 z z)) (.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (/.f64 y (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(/.f64 y (sqrt.f64 (fma.f64 a t (*.f64 z z))))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(.f64 (neg.f64 (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a t (*.f64 z z)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (.f64 z z) (.f64 a t))) (neg.f64 (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 a t) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 a t (.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (.f64 z z) (.f64 a t)) (sqrt.f64 (fma.f64 a t (*.f64 z z))))
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 a t) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (fma.f64 a t (.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(sqrt.f64 (exp.f64 (log.f64 (fma.f64 a t (*.f64 z z)))))
(sqrt.f64 (fma.f64 a t (*.f64 z z)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 a t (.f64 z z))) #s(literal 1/4 binary64) (.f64 (log.f64 (fma.f64 a t (*.f64 z z))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a t (*.f64 z z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 a t (.f64 z z))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a t (.f64 z z)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a t (*.f64 z z)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 a t (.f64 z z))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 a t (.f64 z z))))))
#s(approx (- (* z z) (* t a)) (*.f64 z z))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))

eval68.0ms (0.7%)

Memory: 25.2MiB live, 207.5MiB allocated
Compiler: Compiled 16 974 to 2 018 computations (88.1% saved)

prune79.0ms (0.9%)

Memory

-20.0MiB live, 94.1MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	422	10	432
Fresh	5	7	12
Picked	4	1	5
Done	3	2	5
Total	434	20	454

Accuracy

95.7%

Counts

454 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(/.f64 (.f64 (.f64 z x) y) (/.f64 (hypot.f64 (.f64 z z) (.f64 a t)) (sqrt.f64 (neg.f64 (fma.f64 a t (*.f64 z z))))))
	43.1%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	16.9%	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	20.5%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a))))
	33.3%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
	45.8%	(.f64 (/.f64 (.f64 y x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
	30.3%	(.f64 (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z)
	45.3%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) y)
✓	79.2%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x))
	33.0%	(.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y z))
	40.8%	(.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 z z)))) (.f64 y z))
✓	78.6%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y)
✓	63.6%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z)
	29.4%	(.f64 (.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) y)
	63.6%	(.f64 (.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) x) z)
	60.7%	(.f64 (.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z) y)
	29.5%	(.f64 (.f64 y x) (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	70.2%	(.f64 (.f64 x z) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)))
	63.8%	#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)))
	74.6%	#s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x))

Compiler

Compiled 1 283 to 492 computations (61.7% saved)

regimes243.0ms (2.7%)

Memory

-14.5MiB live, 211.6MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

64.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
61.0ms	a
37.0ms	t
30.0ms	(*.f64 t a)
17.0ms	y

Results

Accuracy	Segments	Branch
86.6%	3	`(*.f64 t a)`
79.2%	1	`(*.f64 x y)`
93.9%	4	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
79.2%	1	`x`
79.2%	1	`y`
94.8%	2	`z`
84.2%	3	`t`
79.2%	1	`a`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes16.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	z
6.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
79.2%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
88.4%	2	`z`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes21.0ms (0.2%)

Memory

-29.1MiB live, 16.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
87.8%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.8%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes11.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.1%	2	`(*.f64 t a)`
86.3%	3	`z`

Compiler

Compiled 4 to 11 computations (-175% saved)

regimes12.0ms (0.1%)

Memory

-45.8MiB live, 12.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
83.3%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes39.0ms (0.4%)

Memory

-1.5MiB live, 88.3MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
7.0ms	(*.f64 x y)
5.0ms	t
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
74.6%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
74.6%	1	`x`
74.6%	1	`a`
74.6%	1	`(*.f64 x y)`
74.6%	1	`y`
74.6%	1	`t`
77.4%	2	`z`

Compiler

Compiled 22 to 43 computations (-95.5% saved)

regimes6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
74.6%	1	`(*.f64 t a)`
77.0%	2	`z`

Compiler

Compiled 4 to 11 computations (-175% saved)

regimes5.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Accuracy

Total -39.1b remaining (-240.8%)

Threshold costs -39.1b (-240.8%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
74.6%	1	`x`
74.6%	1	`z`

Compiler

Compiled 2 to 10 computations (-400% saved)

bsearch42.0ms (0.5%)

Memory

-15.0MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.6216717567937384e+44	3.6410194475033143e+46

Samples

35.0ms	112×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 276 to 237 computations (14.1% saved)

Precisions

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

ival-mult: 3.0ms (61.7% of total)

ival-sub: 1.0ms (20.6% of total)

ival-div: 1.0ms (20.6% of total)

ival-sqrt: 1.0ms (20.6% of total)

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

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

bsearch13.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.9105460198183465e-139	6.5045797534657324e-139

Samples

6.0ms	80×	0	valid
2.0ms	26×	0	invalid

Compiler

Compiled 227 to 190 computations (16.3% saved)

Precisions

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

ival-mult: 3.0ms (69.6% of total)

ival-div: 1.0ms (23.2% of total)

ival-sqrt: 1.0ms (23.2% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9105460198183465e-139	6.5045797534657324e-139

Compiler

Compiled 202 to 175 computations (13.4% saved)

bsearch14.0ms (0.2%)

Memory

-52.3MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9105460198183465e-139	6.5045797534657324e-139

Compiler

Compiled 202 to 175 computations (13.4% saved)

bsearch23.0ms (0.3%)

Memory

19.5MiB live, 64.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9105460198183465e-139	6.5045797534657324e-139
21.0ms	5.956105503902097e-186	2.2846586715194753e-184

Samples

8.0ms	112×	0	valid
7.0ms	58×	0	invalid

Compiler

Compiled 468 to 399 computations (14.7% saved)

Precisions

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

ival-mult: 7.0ms (71.8% of total)

ival-sub: 1.0ms (10.3% of total)

ival-div: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

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

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9105460198183465e-139	6.5045797534657324e-139

Compiler

Compiled 202 to 175 computations (13.4% saved)

bsearch28.0ms (0.3%)

Memory

17.9MiB live, 108.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.8081819770673026e-238	2.1596805231971967e-235

Samples

11.0ms	128×	0	valid
8.0ms	73×	0	invalid

Compiler

Compiled 297 to 260 computations (12.5% saved)

Precisions

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

ival-mult: 7.0ms (71.4% of total)

ival-sub: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-sqrt: 1.0ms (10.2% of total)

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

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

bsearch25.0ms (0.3%)

Memory

-35.8MiB live, 33.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.8081819770673026e-238	2.1596805231971967e-235

Samples

12.0ms	112×	0	valid
5.0ms	70×	0	invalid

Compiler

Compiled 297 to 260 computations (12.5% saved)

Precisions

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

ival-mult: 4.0ms (56.4% of total)

ival-sub: 1.0ms (14.1% of total)

ival-div: 1.0ms (14.1% of total)

ival-sqrt: 1.0ms (14.1% of total)

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

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

simplify39.0ms (0.4%)

Memory

27.9MiB live, 72.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	370
1	91	370
2	136	370
3	202	370
4	264	370
5	348	370
6	458	370
7	567	370
8	585	370

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 10500000000000000054733159900266663744712474624 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x)))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y z)) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 7463142543579545/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (.f64 (.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) z) y) (if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (.f64 y x) (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x))))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (.f64 y x) (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 5269558320999393/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
#s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x))

Outputs
(if (<=.f64 z #s(literal 10500000000000000054733159900266663744712474624 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) x) y))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x)))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y z)) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 7463142543579545/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (.f64 (.f64 (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) z) y) (if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (.f64 y x) (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x))))
(if (<=.f64 z #s(literal 272346098576959/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 (.f64 y x) (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 5269558320999393/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
(if (<=.f64 z #s(literal 6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x)))
#s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (*.f64 y x))

soundness1.7s (18.7%)

Memory

-37.6MiB live, 1 159.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	230
0	67	230
1	174	230
2	972	230
0	8737	230
0	12	37
0	19	37
1	53	37
2	301	37
3	2861	37
0	9079	32
0	36	242
0	61	242
1	160	242
2	816	242
0	8393	228
0	41	260
0	63	260
1	145	260
2	638	260
3	5711	260
0	8705	242
0	1016	7252
1	3696	6967
0	8070	6689
0	495	2455
1	1730	2376
0	8072	2271
0	1180	9674
1	4292	9445
0	9298	9049

Stop Event

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

Compiler

Compiled 1 527 to 840 computations (45% saved)

preprocess693.0ms (7.7%)

Memory: 38.6MiB live, 671.9MiB allocated
Remove: (sort t a)
Compiler: Compiled 1 564 to 686 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Iter	Nodes	Cost
0	68	370
1	91	370
2	136	370
3	202	370
4	264	370
5	348	370
6	458	370
7	567	370
8	585	370

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Iter	Nodes	Cost
0	68	370
1	91	370
2	136	370
3	202	370
4	264	370
5	348	370
6	458	370
7	567	370
8	585	370

start0.0ms (0%)

analyze604.0ms (6.7%)

sample1.6s (17.7%)

explain210.0ms (2.3%)

preprocess171.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify97.0ms (1.1%)

localize37.0ms (0.4%)

series53.0ms (0.6%)

simplify232.0ms (2.6%)

rewrite133.0ms (1.5%)

eval101.0ms (1.1%)

prune13.0ms (0.1%)

simplify143.0ms (1.6%)

localize108.0ms (1.2%)

series103.0ms (1.1%)

simplify225.0ms (2.5%)

rewrite227.0ms (2.5%)

eval69.0ms (0.8%)

prune38.0ms (0.4%)

simplify42.0ms (0.5%)

localize289.0ms (3.2%)

series107.0ms (1.2%)

simplify289.0ms (3.2%)

rewrite208.0ms (2.3%)

eval121.0ms (1.3%)

prune57.0ms (0.6%)

simplify38.0ms (0.4%)

localize144.0ms (1.6%)

series105.0ms (1.2%)

simplify227.0ms (2.5%)

rewrite160.0ms (1.8%)

eval68.0ms (0.7%)

prune79.0ms (0.9%)

regimes243.0ms (2.7%)

regimes16.0ms (0.2%)

regimes21.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes39.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch42.0ms (0.5%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch14.0ms (0.2%)

bsearch23.0ms (0.3%)

bsearch1.0ms (0%)

bsearch28.0ms (0.3%)

bsearch25.0ms (0.3%)

simplify39.0ms (0.4%)

soundness1.7s (18.7%)

preprocess693.0ms (7.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Iter	Nodes	Cost
0	68	370
1	91	370
2	136	370
3	202	370
4	264	370
5	348	370
6	458	370
7	567	370
8	585	370