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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze247.0ms (3%)

Memory

19.7MiB live, 310.2MiB 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)

sample1.9s (23.6%)

Memory

16.8MiB live, 1 248.5MiB allocated

Samples

1.0s	8 256×	0	valid
449.0ms	2 097×	0	invalid

Precisions

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

ival-mult: 670.0ms (65.9% of total)

ival-sub: 205.0ms (20.1% of total)

ival-sqrt: 77.0ms (7.6% of total)

ival-div: 53.0ms (5.2% of total)

ival-true: 9.0ms (0.9% of total)

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

Bogosity

explain134.0ms (1.6%)

Memory

-38.6MiB live, 258.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	2	(-7.612894519462766e-107 5.376319396570851e+115 2.61358429286809e-229 4.4678020014666026e-58 -9.03996138012854e-258)	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
27	-	1	(6.351803590829099e-273 5.551984344253795e-44 -2.6872614072957316e+63 -1.1598969360273899e-149 7.677556885341216e+32)	`(.f64 (.f64 x y) z)`
27	-	3	(-3.573704791220281e+75 1.0026347340960097e-199 2.798956628380585e-194 1.7898204222361918e-76 -3.7447338848710166e-272)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
5	-	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	103	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	103
↳	`(*.f64 t a)`	overflow	25
↳	`(*.f64 z z)`	overflow	85
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	19	0
↳	`(*.f64 x y)`	overflow	31
↳	`(.f64 (.f64 x y) z)`	overflow	41
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	18	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	8	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	6	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	6
↳	`(*.f64 t a)`	underflow	30
↳	`(*.f64 z z)`	underflow	40
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	5	0
↳	`(*.f64 x y)`	underflow	34
↳	`(.f64 (.f64 x y) z)`	underflow	28
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	5	0
↳	`(*.f64 z z)`	overflow	85
↳	`(*.f64 t a)`	overflow	25

Confusion

	Predicted +	Predicted -
+	100	4
-	24	128

Precision

0.8064516129032258

Recall

0.9615384615384616

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	4
-	24	0	128

Precision?

0.8064516129032258

Recall?

0.9615384615384616

Freqs

test

number	freq
0	132
1	87
2	34
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (65.3% of total)

ival-sqrt: 4.0ms (15.4% of total)

ival-div: 3.0ms (11.5% of total)

ival-sub: 2.0ms (7.7% of total)

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

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

preprocess129.0ms (1.6%)

Memory

4.3MiB live, 94.4MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify11.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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

localize38.0ms (0.5%)

Memory

-9.2MiB live, 37.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0117187500000002	(-.f64 (.f64 z z) (.f64 t a))
accuracy	5.978187915069347	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	6.395054651778354	(.f64 (.f64 x y) z)
accuracy	25.60524551289798	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

31.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 6.0ms (56.5% of total)

ival-sqrt: 2.0ms (18.8% of total)

ival-sub: 1.0ms (9.4% of total)

ival-div: 1.0ms (9.4% of total)

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

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

series94.0ms (1.1%)

Memory

7.2MiB live, 53.6MiB 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
57.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
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)))
5.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
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)))
2.0ms	a	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify162.0ms (2%)

Memory

5.2MiB live, 141.5MiB 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)
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* 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))

rewrite175.0ms (2.1%)

Memory

-11.7MiB live, 136.6MiB 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))

eval131.0ms (1.6%)

Memory: 27.8MiB live, 73.8MiB allocated
Compiler: Compiled 14 389 to 1 662 computations (88.4% saved)

prune15.0ms (0.2%)

Memory

-3.5MiB live, 42.9MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	362	14	376
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	362	15	377

Accuracy

90.8%

Counts

377 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	58.5%	(/.f64 (.f64 (.f64 x y) z) (hypot.f64 (sqrt.f64 (*.f64 (neg.f64 t) a)) z))
▶	45.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 t t) a)) (sqrt.f64 a) (*.f64 z z))))
✓	61.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	50.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
	53.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (-.f64 (/.f64 (.f64 z z) t) a) t))))
▶	30.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	45.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	70.6%	(/.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)))
	18.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	32.9%	(.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))))
	35.9%	(.f64 (/.f64 z (hypot.f64 (sqrt.f64 (.f64 a t)) z)) (*.f64 y x))
	64.1%	#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)))
▶	57.8%	#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)))
▶	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 592 to 446 computations (24.7% saved)

simplify41.0ms (0.5%)

Memory

3.3MiB live, 49.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 t t) a)) (sqrt.f64 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 (fma.f64 (sqrt.f64 (.f64 (.f64 t t) a)) (sqrt.f64 a) (*.f64 z z))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x))
cost-diff	0	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x)))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
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	44	326
0	72	326
1	126	326
2	280	326
3	549	326
4	853	326
5	1354	326
6	1800	326
7	2221	326
8	2221	326
0	2221	326

Stop Event

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

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

localize222.0ms (2.7%)

Memory

-9.3MiB live, 324.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	6.135003399767964	(.f64 (.f64 x y) z)
accuracy	7.263366989725884	(.f64 (.f64 t t) a)
accuracy	19.005760441071754	(sqrt.f64 (.f64 (.f64 t t) a))
accuracy	21.07331359336959	(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 t t) a)) (sqrt.f64 a) (*.f64 z z)))
accuracy	1.038248144343779	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	4.791323108852599	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x))
accuracy	7.651954962065951	(.f64 (.f64 z y) x)
accuracy	20.01707780004217	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	4.756166861976036	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	6.135003399767964	(.f64 (.f64 x y) z)
accuracy	21.07331359336959	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	32.95876000897363	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	44.68556356067982	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
accuracy	2.1559148795760015	(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
accuracy	4.756166861976036	(/.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	6.135003399767964	(.f64 (.f64 x y) z)
accuracy	18.623752604069566	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))

Samples

87.0ms	216×	0	valid
36.0ms	40×	0	invalid

Compiler

Compiled 281 to 38 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 48.0ms (69.2% of total)

ival-sqrt: 8.0ms (11.5% of total)

ival-div: 6.0ms (8.6% of total)

ival-add: 3.0ms (4.3% of total)

ival-neg: 2.0ms (2.9% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (1.1%)

Memory

3.7MiB live, 183.9MiB allocated

Counts

20 → 174

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

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

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	t	@	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z)))) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* z y) x) (sqrt (* (* t t) a)) (* (* t t) a))
14.0ms	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z)))) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* z y) x) (sqrt (* (* t t) a)) (* (* t t) a))
8.0ms	a	@	-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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z)))) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* z y) x) (sqrt (* (* t t) a)) (* (* t t) a))
6.0ms	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z)))) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* z y) x) (sqrt (* (* t t) a)) (* (* t t) a))
5.0ms	a	@	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z)))) (sqrt (+ (* (sqrt (* (* t t) a)) (sqrt a)) (* z z))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* z y) x) (sqrt (* (* t t) a)) (* (* t t) a))

simplify196.0ms (2.4%)

Memory

36.5MiB live, 260.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1020	6159
1	3552	5975
0	8525	5704

Stop Event

1×	iter limit
1×	node limit

Counts

174 → 173

Calls

Call 1

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

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

rewrite158.0ms (1.9%)

Memory

3.7MiB live, 157.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	239
0	72	236
1	203	229
2	1140	219
0	9410	198

Stop Event

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

Counts

20 → 391

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

eval74.0ms (0.9%)

Memory: -7.0MiB live, 130.9MiB allocated
Compiler: Compiled 20 813 to 2 379 computations (88.6% saved)

prune28.0ms (0.3%)

Memory

14.4MiB live, 58.9MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	546	12	558
Fresh	3	6	9
Picked	3	2	5
Done	0	1	1
Total	552	21	573

Accuracy

93.6%

Counts

573 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.8%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 t t) a)) (sqrt.f64 a) (*.f64 z z))))
	57.6%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	29.1%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	58.5%	(/.f64 (.f64 (.f64 x y) z) (hypot.f64 (sqrt.f64 (*.f64 (neg.f64 t) a)) z))
▶	54.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 a)) t) (sqrt.f64 a) (.f64 z z))))
✓	61.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	50.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
	53.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (-.f64 (/.f64 (.f64 z z) t) a) t))))
✓	30.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
▶	45.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	9.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a t))))
▶	18.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
▶	77.6%	(.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))
	77.3%	(.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)
▶	48.4%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
	9.4%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 a t)))))
	19.4%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 t t) a)) (/.f64 #s(literal 1 binary64) t)) a))) (.f64 (*.f64 z y) x)))
	39.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 (*.f64 z y) x)))
	29.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 a t)))) (.f64 (*.f64 z y) x)))
✓	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
	56.2%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x)))

Compiler

Compiled 924 to 684 computations (26% saved)

simplify49.0ms (0.6%)

Memory

-23.6MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (fma.f64 (.f64 (neg.f64 (sqrt.f64 a)) t) (sqrt.f64 a) (.f64 z z))))
cost-diff	4	(fma.f64 (.f64 (neg.f64 (sqrt.f64 a)) t) (sqrt.f64 a) (.f64 z 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 x #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 y)
cost-diff	0	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
cost-diff	0	(*.f64 x 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: 3 (0.0ms)

Iter	Nodes	Cost
0	35	327
0	59	327
1	106	327
2	233	327
3	443	315
4	705	315
5	1261	315
6	2196	315
7	2603	315
8	2657	315
9	2657	315
0	2657	315

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

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

localize124.0ms (1.5%)

Memory

20.0MiB live, 162.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(*.f64 (neg.f64 (sqrt.f64 a)) t)
accuracy	4.756166861976036	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 a)) t) (sqrt.f64 a) (.f64 z z))))
accuracy	6.135003399767964	(.f64 (.f64 x y) z)
accuracy	21.07331359336959	(sqrt.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 a)) t) (sqrt.f64 a) (.f64 z z)))
accuracy	0.0546875	(/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
accuracy	2.1559148795760015	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	15.18209037448979	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
accuracy	18.623752604069566	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))
accuracy	4.756166861976036	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	6.135003399767964	(.f64 (.f64 x y) z)
accuracy	18.030634476150016	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	21.07331359336959	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(neg.f64 z)
accuracy	4.756166861976036	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	6.135003399767964	(.f64 (.f64 x y) z)
accuracy	53.25732567425352	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.09765625	(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
accuracy	2.1559148795760015	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	2.656457472809643	(.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	18.623752604069566	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))

Samples

55.0ms	216×	0	valid
42.0ms	40×	0	invalid

Compiler

Compiled 262 to 33 computations (87.4% saved)

Precisions

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

ival-add: 35.0ms (46.4% of total)

ival-mult: 17.0ms (22.5% of total)

ival-sqrt: 12.0ms (15.9% of total)

ival-div: 8.0ms (10.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series82.0ms (1%)

Memory

-26.9MiB live, 117.9MiB allocated

Counts

19 → 137

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

Outputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x y)
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* 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))) (* 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 (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)))))))))
(* -1 (* a t))
(+ (* -1 (* a t)) (pow z 2))
(* -1 z)
(- (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 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)
(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 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))
(+ (* 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))))))))
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
(* -1 (* (sqrt a) t))
(+ (* -1/2 (* (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 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 a) (/ (pow z 2) 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)))))))
(+ (* -1/2 (* (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 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 (* t (+ a (* -1 (/ (pow z 2) t)))))
(* -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))))))))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* 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 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 t) (/ (pow z 2) 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 (/ (+ (* 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 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)))))
(* a (* t (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (* t (pow (sqrt -1) 2))) (* -1 (/ (pow z 2) a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (pow (sqrt -1) 5)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (/ (* x (* y (pow z 5))) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 8)))) (/ (pow z 6) (* (pow t 4) (pow (sqrt -1) 8))))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* (sqrt (* a t)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 5)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3)))))))
(* (sqrt a) (* t (pow (sqrt -1) 2)))

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)) (/ (* (* x y) z) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)))) (neg z) (- (* z z) (* t a)) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z))) (* (neg (sqrt a)) t))
6.0ms	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)) (/ (* (* x y) z) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)))) (neg z) (- (* z z) (* t a)) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z))) (* (neg (sqrt a)) t))
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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)) (/ (* (* x y) z) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)))) (neg z) (- (* z z) (* t a)) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z))) (* (neg (sqrt a)) t))
4.0ms	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)) (/ (* (* x y) z) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)))) (neg z) (- (* z z) (* t a)) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z))) (* (neg (sqrt a)) t))
3.0ms	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))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (- (* z z) (* t a))))) (* z y) (/ x (sqrt (- (* z z) (* t a)))) (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)) (/ (* (* x y) z) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z)))) (neg z) (- (* z z) (* t a)) (sqrt (+ (* (* (neg (sqrt a)) t) (sqrt a)) (* z z))) (* (neg (sqrt a)) t))

simplify189.0ms (2.3%)

Memory

31.2MiB live, 267.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	848	5268
1	3071	5079
0	8566	4862

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 136

Calls

Call 1

Inputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (* y z))
(* x y)
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* 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))) (* 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 (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)))))))))
(* -1 (* a t))
(+ (* -1 (* a t)) (pow z 2))
(* -1 z)
(- (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 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)
(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 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))
(+ (* 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))))))))
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
(* -1 (* (sqrt a) t))
(+ (* -1/2 (* (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 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 a) (/ (pow z 2) 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)))))))
(+ (* -1/2 (* (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 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 (* t (+ a (* -1 (/ (pow z 2) t)))))
(* -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))))))))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* 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 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 t) (/ (pow z 2) 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 (/ (+ (* 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 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)))))
(* a (* t (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (* t (pow (sqrt -1) 2))) (* -1 (/ (pow z 2) a)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (pow (sqrt -1) 5)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (/ (* x (* y (pow z 5))) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 8)))) (/ (pow z 6) (* (pow t 4) (pow (sqrt -1) 8))))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* (sqrt (* a t)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 5)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3)))))))
(* (sqrt a) (* t (pow (sqrt -1) 2)))

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 (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 y z) x))
(* 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))))
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(.f64 (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 (/.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 #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 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))))))
(fma.f64 #s(literal -1/2 binary64) (fma.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)))) (.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 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)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) x) (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 x (/.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 (+ (* -1 t) (/ (pow z 2) a)))
(.f64 (fma.f64 #s(literal -1 binary64) t (/.f64 (.f64 z 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (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 x y) (.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 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))))))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) z) (sqrt.f64 #s(literal -1 binary64)) (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 (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 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))))) (neg.f64 (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 (.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 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 (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 (/ 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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) x) (sqrt.f64 #s(literal -1 binary64)) (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 z z) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 t a)) x) (.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)) x) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))))
(* a (* t (pow (sqrt -1) 2)))
(*.f64 (neg.f64 a) t)
(* -1 (* a (+ (* -1 (* t (pow (sqrt -1) 2))) (* -1 (/ (pow z 2) a)))))
(.f64 (neg.f64 a) (-.f64 t (/.f64 (.f64 z z) a)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(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 (.f64 (pow.f64 z #s(literal 3 binary64)) y) x) #s(literal -1 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)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (pow (sqrt -1) 5)))) (* (sqrt (/ 1 (* a t))) (* x (* 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 (.f64 x y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (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 1/2 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 (* y (pow z 5))) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 8)))) (/ (pow z 6) (* (pow t 4) (pow (sqrt -1) 8))))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (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 x y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64))))) (.f64 (.f64 (.f64 x y) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) a) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (sqrt.f64 (/.f64 t a))))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (neg.f64 a) (-.f64 t (/.f64 (.f64 z z) a)))
(* -1 (* (sqrt (* a t)) (pow (sqrt -1) 3)))
(.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3)))))
(.f64 (neg.f64 a) (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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 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 5 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/8 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 5)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (pow (sqrt -1) 3)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 9 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 t #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 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 5 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/8 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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(* (sqrt a) (* t (pow (sqrt -1) 2)))
(*.f64 (neg.f64 t) (sqrt.f64 a))

rewrite157.0ms (1.9%)

Memory

-5.2MiB live, 222.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	237
0	59	237
1	159	237
2	842	225
0	9146	212

Stop Event

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

Counts

19 → 385

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

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

eval103.0ms (1.3%)

Memory: -0.9MiB live, 247.3MiB allocated
Compiler: Compiled 26 767 to 2 579 computations (90.4% saved)

prune102.0ms (1.3%)

Memory

4.8MiB live, 140.5MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	635	16	651
Fresh	4	9	13
Picked	3	2	5
Done	0	3	3
Total	642	30	672

Accuracy

94.4%

Counts

672 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	29.1%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	50.5%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 a)) t) (sqrt.f64 a) (.f64 z z))))
	43.6%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	18.5%	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	45.0%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	58.5%	(/.f64 (.f64 (.f64 x y) z) (hypot.f64 (sqrt.f64 (*.f64 (neg.f64 t) a)) z))
✓	61.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	50.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
	53.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (-.f64 (/.f64 (.f64 z z) t) a) t))))
✓	30.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
✓	45.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	40.7%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) x)
	44.1%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) z)
	39.9%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 t z)) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z))))) (*.f64 y x))
	46.0%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z))))) (.f64 y x))
▶	75.8%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z))) (.f64 y x))
	45.9%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 t z) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z)) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z)))) (*.f64 y x))
	18.3%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x))
▶	77.3%	(.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)
✓	48.4%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
	15.9%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))))
	45.9%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
	56.6%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)))
	44.3%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
▶	74.5%	(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x))
▶	19.4%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 t t) a)) (/.f64 #s(literal 1 binary64) t)) a))) (.f64 (*.f64 z y) x)))
	29.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 a t)))) (.f64 (*.f64 z y) x)))
✓	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
	56.2%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x)))

Compiler

Compiled 1 421 to 1 013 computations (28.7% saved)

simplify303.0ms (3.7%)

Memory

-13.2MiB live, 144.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	491
0	87	491
1	160	487
2	385	487
3	1168	487
4	3572	487
5	5297	487
6	6080	487
7	6217	487
8	6249	487
9	6270	487
10	6856	487
11	7172	487
12	7243	487
13	7290	487
14	7303	487
15	7316	487
16	7316	487
0	8145	487

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (2.3%)

Memory

30.4MiB live, 215.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	9.31352586478006	(.f64 (.f64 z y) x)
accuracy	14.881738994351164	(/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 t t) a))
accuracy	24.604998907409673	(sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 t t) a)) (/.f64 #s(literal 1 binary64) t)) a)))
accuracy	43.62948316098023	#s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 t t) a)) (/.f64 #s(literal 1 binary64) t)) a))
accuracy	0.09765625	(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z)))
accuracy	2.660363722809643	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z))) (.f64 y x))
accuracy	3.560026302898258	(fma.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z)
accuracy	18.87484221694681	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z))
accuracy	0.05859375	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) x)
accuracy	17.68850783351717	(/.f64 (.f64 y z) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z))))
accuracy	18.472373260796815	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	25.60524551289798	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(*.f64 y x)
accuracy	2.660363722809643	(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x))
accuracy	19.612470038462323	#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))
accuracy	0.09765625	(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
accuracy	1.6864799678625744	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) y)
accuracy	2.1559148795760015	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	18.87484221694681	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))

Samples

158.0ms

256×

valid

Compiler

Compiled 326 to 48 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 77.0ms (74.8% of total)

ival-div: 14.0ms (13.6% of total)

ival-sqrt: 4.0ms (3.9% of total)

ival-add: 3.0ms (2.9% of total)

ival-sub: 2.0ms (1.9% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (0.9%)

Memory

-20.6MiB live, 80.8MiB allocated

Counts

23 → 173

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (* y x) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (* y z) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* a t) (/ -1/2 z)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (+ (* (/ t z) (* -1/2 a)) z) (- (* z z) (* t a)) (/ (* (neg z) z) (* (* t t) a)) (* (* z y) x))
11.0ms	a	@	0	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (* y x) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (* y z) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* a t) (/ -1/2 z)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (+ (* (/ t z) (* -1/2 a)) z) (- (* z z) (* t a)) (/ (* (neg z) z) (* (* t t) a)) (* (* z y) x))
4.0ms	z	@	0	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (* y x) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (* y z) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* a t) (/ -1/2 z)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (+ (* (/ t z) (* -1/2 a)) z) (- (* z z) (* t a)) (/ (* (neg z) z) (* (* t t) a)) (* (* z y) x))
4.0ms	z	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (* y x) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (* y z) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* a t) (/ -1/2 z)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (+ (* (/ t z) (* -1/2 a)) z) (- (* z z) (* t a)) (/ (* (neg z) z) (* (* t t) a)) (* (* z y) x))
4.0ms	z	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (* y x) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (* y z) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* a t) (/ -1/2 z)) z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (+ (* (/ t z) (* -1/2 a)) z) (- (* z z) (* t a)) (/ (* (neg z) z) (* (* t t) a)) (* (* z y) x))

simplify282.0ms (3.5%)

Memory

7.2MiB live, 275.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	992	6566
1	3476	6318
0	8474	6046

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 171

Calls

Call 1

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

rewrite343.0ms (4.2%)

Memory

-11.4MiB live, 390.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	399
0	87	399
1	260	395
2	1603	395
0	8254	395

Stop Event

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

Counts

23 → 303

Calls

Call 1

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

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

eval69.0ms (0.8%)

Memory: -14.5MiB live, 85.4MiB allocated
Compiler: Compiled 19 362 to 2 450 computations (87.3% saved)

prune36.0ms (0.4%)

Memory

33.6MiB live, 78.3MiB allocated

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	395	7	402
Fresh	2	18	20
Picked	1	4	5
Done	0	5	5
Total	398	34	432

Accuracy

94.4%

Counts

432 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	29.1%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	43.6%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	18.5%	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	45.0%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	58.5%	(/.f64 (.f64 (.f64 x y) z) (hypot.f64 (sqrt.f64 (*.f64 (neg.f64 t) a)) z))
✓	61.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	53.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (-.f64 (/.f64 (.f64 z z) t) a) t))))
✓	30.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
✓	45.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	60.0%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 a) t (*.f64 z z))))) x)
	29.5%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
✓	40.7%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) x)
	44.1%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) z)
	39.9%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (/.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (/.f64 t z)) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z))))) (*.f64 y x))
	46.0%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z))))) (.f64 y x))
✓	75.8%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z))) (.f64 y x))
	45.9%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 t z) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z)) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) z)))) (*.f64 y x))
	18.3%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x))
✓	77.3%	(.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)
	46.0%	(.f64 (.f64 z (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) x)
✓	48.4%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
	15.9%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))))
	45.9%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)))
	56.6%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) x)))
	44.3%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
✓	74.5%	(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x))
	59.4%	(.f64 #s(approx ( (/ z (sqrt (- (* z z) (* t a)))) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 y z))) x)
	22.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (-.f64 (.f64 (/.f64 z (.f64 (neg.f64 a) t)) (/.f64 z t)) (pow.f64 t #s(literal -1 binary64))) a))) (*.f64 x y)) z))
	18.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 t t) a)) (/.f64 #s(literal 1 binary64) t)) a))) (.f64 (*.f64 x y) z)))
	29.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (.f64 a t)))) (.f64 (*.f64 z y) x)))
✓	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
	22.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (exp.f64 (.f64 (log.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (-.f64 (.f64 (/.f64 z (.f64 (neg.f64 a) t)) (/.f64 z t)) (pow.f64 t #s(literal -1 binary64))) a))) #s(literal 1/2 binary64))) (.f64 (.f64 z y) x)))
	56.2%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x)))

Compiler

Compiled 2 183 to 883 computations (59.6% saved)

regimes181.0ms (2.2%)

Memory

-21.2MiB live, 327.6MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

41.0ms	z
29.0ms	y
16.0ms	a
16.0ms	(*.f64 t a)
15.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
77.6%	1	`x`
77.6%	1	`y`
91.3%	2	`z`
77.6%	1	`t`
81.0%	3	`a`
90.9%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
77.6%	1	`(*.f64 x y)`
87.4%	2	`(*.f64 t a)`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes25.0ms (0.3%)

Memory

-25.3MiB live, 65.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

Calls

3 calls:

9.0ms	z
7.0ms	(*.f64 t a)
6.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
79.3%	2	`(*.f64 t a)`
77.6%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
86.1%	2	`z`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes48.0ms (0.6%)

Memory

35.4MiB live, 79.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

17.0ms	(*.f64 x y)
5.0ms	z
4.0ms	(*.f64 t a)
4.0ms	y
4.0ms	t

Results

Accuracy	Segments	Branch
74.5%	1	`x`
74.5%	1	`y`
74.5%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
74.5%	1	`(*.f64 x y)`
74.5%	1	`t`
74.5%	1	`(*.f64 t a)`
74.5%	1	`a`
77.1%	2	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.0%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.5%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes16.0ms (0.2%)

Memory

-49.8MiB live, 5.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
74.5%	1	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes9.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

1.0ms	a
1.0ms	z
1.0ms	y
1.0ms	t
1.0ms	x

Results

Accuracy	Segments	Branch
15.3%	1	`x`
15.3%	1	`y`
15.3%	1	`t`
15.3%	1	`a`
15.3%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
15.3%	1	`(*.f64 x y)`
15.3%	1	`(*.f64 t a)`
15.3%	1	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

bsearch22.0ms (0.3%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.389576236592252e-12	0.7391350192471062

Samples

11.0ms	160×	0	valid
1.0ms	17×	0	invalid

Compiler

Compiled 467 to 370 computations (20.8% saved)

Precisions

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

ival-mult: 4.0ms (53.6% of total)

ival-sub: 1.0ms (13.4% of total)

ival-div: 1.0ms (13.4% of total)

ival-sqrt: 1.0ms (13.4% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-6.2MiB live, 38.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	6.914043891169273e-103	1.8829177124951367e-92

Samples

19.0ms	160×	0	valid
4.0ms	57×	0	invalid

Compiler

Compiled 367 to 330 computations (10.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (56.4% of total)

ival-sub: 1.0ms (11.3% of total)

ival-div: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

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

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

bsearch35.0ms (0.4%)

Memory

-13.9MiB live, 31.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.506408365562515e-184	1.0288377080358347e-181

Samples

24.0ms	112×	0	valid
3.0ms	42×	0	invalid

Compiler

Compiled 381 to 307 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 17.0ms (75.5% of total)

ival-mult: 4.0ms (17.8% of total)

ival-div: 1.0ms (4.4% of total)

ival-sqrt: 1.0ms (4.4% of total)

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

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

bsearch22.0ms (0.3%)

Memory

0.9MiB live, 42.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.600653778340736e-178	5.634104534323245e-177

Samples

12.0ms	96×	0	valid
3.0ms	45×	0	invalid

Compiler

Compiled 215 to 200 computations (7% saved)

Precisions

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

ival-div: 5.0ms (48.7% of total)

ival-mult: 4.0ms (39% of total)

ival-sub: 1.0ms (9.7% of total)

ival-sqrt: 1.0ms (9.7% of total)

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

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

bsearch7.0ms (0.1%)

Memory

15.2MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	7.506408365562515e-184	1.0288377080358347e-181

Samples

2.0ms	32×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 248 to 230 computations (7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (49% of total)

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

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

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

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

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

simplify31.0ms (0.4%)

Memory

-9.5MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	253
1	109	252
2	168	252
3	235	252
4	291	252
5	370	252
6	479	252
7	592	252
8	610	252

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 1643813863990231/2251799813685248 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 a) t (.f64 z z))))) 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))) y) x))
(if (<=.f64 z #s(literal 1382821872737233/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 6387416864671073/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 2511634509858501/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Outputs
(if (<=.f64 z #s(literal 1643813863990231/2251799813685248 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (fma.f64 (neg.f64 a) t (.f64 z z))))) 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))) y) x))
(if (<=.f64 z #s(literal 1382821872737233/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 z y) x))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 #s(approx (sqrt (/ 1 (+ ( (neg a) t) (* z z)))) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z y) x))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 6387416864671073/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(if (<=.f64 z #s(literal 2511634509858501/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x)))
(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) (*.f64 y x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

soundness1.2s (14.5%)

Memory

14.1MiB live, 1 209.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	848	5268
1	3071	5079
0	8566	4862
0	1020	6159
1	3552	5975
0	8525	5704
0	495	2455
1	1730	2376
0	8072	2271
0	44	239
0	72	236
1	203	229
2	1140	219
0	9410	198
0	992	6566
1	3476	6318
0	8474	6046
0	35	237
0	59	237
1	159	237
2	842	225
0	9146	212

Stop Event

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

Compiler

Compiled 838 to 445 computations (46.9% saved)

preprocess561.0ms (6.9%)

Memory: 8.7MiB live, 821.2MiB allocated
Remove: (sort t a)
Compiler: Compiled 1 474 to 722 computations (51% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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	75	253
1	109	252
2	168	252
3	235	252
4	291	252
5	370	252
6	479	252
7	592	252
8	610	252

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	75	253
1	109	252
2	168	252
3	235	252
4	291	252
5	370	252
6	479	252
7	592	252
8	610	252

start0.0ms (0%)

analyze247.0ms (3%)

sample1.9s (23.6%)

explain134.0ms (1.6%)

preprocess129.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.1%)

localize38.0ms (0.5%)

series94.0ms (1.1%)

simplify162.0ms (2%)

rewrite175.0ms (2.1%)

eval131.0ms (1.6%)

prune15.0ms (0.2%)

simplify41.0ms (0.5%)

localize222.0ms (2.7%)

series88.0ms (1.1%)

simplify196.0ms (2.4%)

rewrite158.0ms (1.9%)

eval74.0ms (0.9%)

prune28.0ms (0.3%)

simplify49.0ms (0.6%)

localize124.0ms (1.5%)

series82.0ms (1%)

simplify189.0ms (2.3%)

rewrite157.0ms (1.9%)

eval103.0ms (1.3%)

prune102.0ms (1.3%)

simplify303.0ms (3.7%)

localize188.0ms (2.3%)

series77.0ms (0.9%)

simplify282.0ms (3.5%)

rewrite343.0ms (4.2%)

eval69.0ms (0.8%)

prune36.0ms (0.4%)

regimes181.0ms (2.2%)

regimes25.0ms (0.3%)

regimes48.0ms (0.6%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch22.0ms (0.3%)

bsearch7.0ms (0.1%)

simplify31.0ms (0.4%)

soundness1.2s (14.5%)

preprocess561.0ms (6.9%)

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	75	253
1	109	252
2	168	252
3	235	252
4	291	252
5	370	252
6	479	252
7	592	252
8	610	252