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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze225.0ms (1.9%)

Memory

21.1MiB live, 459.5MiB 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)

sample1.7s (14.1%)

Memory

29.8MiB live, 1 967.4MiB allocated

Samples

1.0s	8 256×	0	valid
197.0ms	2 098×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 857.0ms

ival-mult: 510.0ms (59.5% of total)

ival-sqrt: 213.0ms (24.9% of total)

ival-sub: 68.0ms (7.9% of total)

ival-div: 54.0ms (6.3% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain395.0ms (3.3%)

Memory

-198.4MiB live, 256.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
42	-	2	(238595.20920355662 -6.258712710587261e-18 -2.5585111478534335e-306 7.802420157747683e-273 -4.189395378119833e+254)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
19	-	2	(-7.907106183041506e-98 -1.046886798844395e-217 3.6132226592151134e+170 -7.888439799518623e-111 8.29308703238735e+232)	`(.f64 (.f64 x y) z)`
4	-	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	105	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	105
↳	`(*.f64 t a)`	overflow	27
↳	`(*.f64 z z)`	overflow	91
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	34	0
↳	`(*.f64 x y)`	overflow	25
↳	`(.f64 (.f64 x y) z)`	overflow	56
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	15	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	9	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	9
↳	`(*.f64 t a)`	underflow	30
↳	`(*.f64 z z)`	underflow	44
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	6	0
↳	`(*.f64 x y)`	underflow	29
↳	`(.f64 (.f64 x y) z)`	underflow	35
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	4	0
↳	`(*.f64 z z)`	overflow	91
↳	`(*.f64 t a)`	overflow	27
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	2	0

Confusion

	Predicted +	Predicted -
+	109	1
-	22	124

Precision

0.8320610687022901

Recall

0.990909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	1
-	22	0	124

Precision?

0.8320610687022901

Recall?

0.990909090909091

Freqs

test

number	freq
0	125
1	89
2	40
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

306.0ms

512×

valid

Compiler

Compiled 119 to 40 computations (66.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (61.1% of total)

ival-div: 4.0ms (14.4% of total)

ival-sqrt: 4.0ms (14.4% of total)

ival-sub: 2.0ms (7.2% of total)

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

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

preprocess113.0ms (0.9%)

Memory

29.1MiB live, 114.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 536×	`unsub-neg`
1 194×	`div-sub`
1 182×	`times-frac`
1 032×	`associate-/l*`
866×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval28.0ms (0.2%)

Memory: -38.5MiB live, 0.3MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify175.0ms (1.5%)

Memory

13.8MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

816×	`lower-fma.f64`
816×	`lower-fma.f32`
760×	`lower-*.f32`
752×	`lower-*.f64`
652×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.3%)

Memory

14.9MiB live, 51.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.7968750000000001	(-.f64 (.f64 z z) (.f64 t a))
accuracy	4.0832654761353275	(.f64 (.f64 x y) z)
accuracy	9.740441612723497	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	26.621537070595167	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

22.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 6.0ms (55.3% of total)

ival-sqrt: 2.0ms (18.4% of total)

ival-sub: 1.0ms (9.2% of total)

ival-div: 1.0ms (9.2% of total)

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

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

series72.0ms (0.6%)

Memory

1.8MiB live, 46.4MiB allocated

Counts

5 → 192

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms	y	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	a	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	a	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify159.0ms (1.3%)

Memory

18.4MiB live, 205.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 704×	`lower-*.f64`
8 704×	`lower-*.f32`
7 510×	`lower-fma.f64`
7 510×	`lower-fma.f32`
1 846×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	3663
1	1609	3591
2	6491	3573
0	8282	3461

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

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

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

rewrite232.0ms (1.9%)

Memory

-44.5MiB live, 291.3MiB allocated

Rules

4 222×	`lower-*.f32`
4 214×	`lower-*.f64`
3 334×	`lower-fma.f64`
3 334×	`lower-fma.f32`
2 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 380

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (*.f64 (neg.f64 z) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 z (.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) x)) (*.f64 z y))
(.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (.f64 (fma.f64 a t (.f64 z z)) (fma.f64 (neg.f64 a) t (.f64 z z))))) (sqrt.f64 (fma.f64 a t (*.f64 z z))))
(.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (fma.f64 (.f64 (.f64 a a) t) (.f64 (.f64 t t) a) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))) (sqrt.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 a t (.f64 z z)) (*.f64 a t)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 z x)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) (.f64 z x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (.f64 z y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) z) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (.f64 z (*.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 z (.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 z (*.f64 y x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y))
(.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (.f64 z x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 (.f64 z y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 z (.f64 y x)) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 y x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 z (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 y x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 z x) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (.f64 z y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z)
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y)
(.f64 (.f64 z x) (.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 (neg.f64 x) y) (.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (.f64 (neg.f64 x) y) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 (.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (neg.f64 x) (.f64 (.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 z (.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 (neg.f64 x) z) y))
(.f64 (neg.f64 z) (/.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) y) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 y x))
(.f64 (.f64 z y) (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y x)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 z (.f64 y x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) #s(literal 1 binary64))
(.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 z (.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 z (/.f64 (.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 (.f64 y x) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(.f64 y (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x))
(.f64 x (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(.f64 x (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 z (*.f64 y x))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 z (.f64 y x))) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (.f64 z (*.f64 y x)))) #s(literal -1/2 binary64))
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eval262.0ms (2.2%)

Memory: 20.2MiB live, 91.2MiB allocated
Compiler: Compiled 22 148 to 1 792 computations (91.9% saved)

prune577.0ms (4.8%)

Memory

-5.9MiB live, 153.1MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

94.6%

Counts

570 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
▶	34.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	66.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
▶	19.1%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	61.5%	(/.f64 (.f64 y x) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) z))
	56.8%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 (neg.f64 x) z) y))
	62.4%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
▶	56.6%	(.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	59.8%	(.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
	55.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
▶	71.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 430 to 270 computations (37.2% saved)

simplify554.0ms (4.6%)

Memory

21.9MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 248×	`lower-fma.f32`
3 244×	`lower-fma.f64`
2 968×	`lower-*.f32`
2 952×	`lower-*.f64`
1 758×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	247
0	56	247
1	100	247
2	172	247
3	266	247
4	335	247
5	370	247
6	527	247
7	717	247
8	1308	247
9	2723	247
10	4454	247
11	4944	247
12	5316	247
13	5960	247
14	6312	247
15	6420	247
16	7352	247
17	7712	247
18	7712	247
19	7712	247
20	7712	247
21	7770	247
22	7818	247
23	7838	247
24	7846	247
25	7846	247
26	7846	247
27	7950	247
0	8070	247

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (1.2%)

Memory

7.4MiB live, 155.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 a)
accuracy	0.078125	(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	17.84238342433941	(.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
accuracy	26.621537070595167	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	2.38526120656086	(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy	4.0832654761353275	(.f64 (.f64 x y) z)
accuracy	9.740441612723497	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
accuracy	20.26695179559227	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
accuracy	4.0832654761353275	(.f64 (.f64 x y) z)
accuracy	9.740441612723497	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	26.621537070595167	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	38.770695235216415	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0	(neg.f64 z)
accuracy	4.0832654761353275	(.f64 (.f64 x y) z)
accuracy	9.740441612723497	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.18014818865755	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	18.49225613377161	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Samples

131.0ms

256×

valid

Compiler

Compiled 211 to 28 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 35.0ms (72.4% of total)

ival-div: 5.0ms (10.3% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series99.0ms (0.8%)

Memory

4.8MiB live, 126.0MiB allocated

Counts

18 → 696

Calls

Call 1

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

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

Calls

15 calls:

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

simplify241.0ms (2%)

Memory

12.0MiB live, 424.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 790×	`lower-*.f64`
6 790×	`lower-*.f32`
5 650×	`lower-fma.f64`
5 650×	`lower-fma.f32`
3 724×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	665	17268
1	2203	16889
2	5890	16865
0	8159	16283

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 680

Calls

Call 1

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

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

rewrite211.0ms (1.8%)

Memory

-1.7MiB live, 286.0MiB allocated

Rules

9 404×	`lower-fma.f32`
9 400×	`lower-fma.f64`
6 106×	`lower-*.f32`
6 090×	`lower-*.f64`
2 948×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	188
0	56	188
1	181	188
2	987	188
0	8620	188

Stop Event

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

Counts

18 → 469

Calls

Call 1

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

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

eval211.0ms (1.7%)

Memory: -4.9MiB live, 299.5MiB allocated
Compiler: Compiled 32 520 to 1 867 computations (94.3% saved)

prune249.0ms (2.1%)

Memory

6.6MiB live, 424.8MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 328	17	1 345
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	1 337	20	1 357

Accuracy

94.6%

Counts

1 357 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	19.5%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	25.2%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	34.5%	(/.f64 (.f64 y x) (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) z))
▶	78.3%	(/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))
	59.2%	(.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)
	34.6%	(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y x))
▶	34.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
	52.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) x) (.f64 z y))
	31.7%	(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	52.2%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
▶	46.0%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
	35.8%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	70.9%	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
	14.0%	(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))
▶	35.1%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	62.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)) (.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
▶	55.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
✓	71.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 705 to 446 computations (36.7% saved)

simplify130.0ms (1.1%)

Memory

-17.8MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
cost-diff	0	(.f64 t (.f64 y x))
cost-diff	0	(.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z)))
cost-diff	0	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
cost-diff	320	(fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(/.f64 (.f64 z y) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff	0	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))
cost-diff	0	(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)
cost-diff	0	(*.f64 y x)
cost-diff	384	(/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))

Rules

4 702×	`lower-*.f32`
4 680×	`lower-*.f64`
3 376×	`lower-fma.f32`
3 372×	`lower-fma.f64`
2 300×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	373
0	70	369
1	132	367
2	291	367
3	795	365
4	1376	365
5	2925	365
6	3550	365
7	4343	365
8	6657	365
0	8334	363

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (0.8%)

Memory

5.5MiB live, 161.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))) x)
accuracy	17.84238342433941	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) x) (.f64 z y))
accuracy	26.621537070595167	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	38.770695235216415	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	4.886849391344903	(.f64 t (.f64 y x))
accuracy	7.853057212329535	(/.f64 a (*.f64 z z))
accuracy	13.556397270245071	(.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z)))
accuracy	20.884250715548742	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
accuracy	0.046875	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
accuracy	17.587489832471544	(/.f64 (.f64 z y) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	26.621537070595167	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	38.770695235216415	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0	(/.f64 x z)
accuracy	0	(*.f64 z y)
accuracy	17.84238342433941	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
accuracy	19.840183695024812	#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
accuracy	0.06640625	(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)
accuracy	1.8806148844632222	(/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))
accuracy	2.38526120656086	(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)
accuracy	20.26695179559227	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))

Samples

73.0ms

256×

valid

Compiler

Compiled 280 to 42 computations (85% saved)

Precisions

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

ival-mult: 24.0ms (49% of total)

ival-div: 15.0ms (30.6% of total)

ival-add: 3.0ms (6.1% of total)

ival-sqrt: 3.0ms (6.1% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series173.0ms (1.4%)

Memory

-16.0MiB live, 199.2MiB allocated

Counts

21 → 912

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	a	@	-inf	((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* (* t (* y x)) (/ a (* z z))) 1/2) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* t (* y x)) (/ a (* z z))) (* t (* y x)) (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* z y)) (/ 1 (sqrt (- (* z z) (* t a)))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (/ a (* z z)))
18.0ms	y	@	0	((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* (* t (* y x)) (/ a (* z z))) 1/2) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* t (* y x)) (/ a (* z z))) (* t (* y x)) (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* z y)) (/ 1 (sqrt (- (* z z) (* t a)))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (/ a (* z z)))
8.0ms	a	@	0	((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* (* t (* y x)) (/ a (* z z))) 1/2) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* t (* y x)) (/ a (* z z))) (* t (* y x)) (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* z y)) (/ 1 (sqrt (- (* z z) (* t a)))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (/ a (* z z)))
8.0ms	x	@	-inf	((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* (* t (* y x)) (/ a (* z z))) 1/2) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* t (* y x)) (/ a (* z z))) (* t (* y x)) (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* z y)) (/ 1 (sqrt (- (* z z) (* t a)))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (/ a (* z z)))
4.0ms	a	@	inf	((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (* (* t (* y x)) (/ a (* z z))) 1/2) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* t (* y x)) (/ a (* z z))) (* t (* y x)) (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* (* (/ 1 (sqrt (- (* z z) (* t a)))) x) (* z y)) (/ 1 (sqrt (- (* z z) (* t a)))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (/ a (* z z)))

simplify312.0ms (2.6%)

Memory

18.2MiB live, 327.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 614×	`lower-fma.f64`
8 614×	`lower-fma.f32`
7 694×	`lower-*.f64`
7 694×	`lower-*.f32`
6 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1045	22561
1	3486	21980
0	8230	21280

Stop Event

1×	iter limit
1×	node limit

Counts

912 → 899

Calls

Call 1

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

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

rewrite515.0ms (4.3%)

Memory

10.1MiB live, 356.6MiB allocated

Rules

4 822×	`lower-*.f32`
4 800×	`lower-*.f64`
4 298×	`lower-/.f32`
4 284×	`lower-/.f64`
3 360×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	292
0	70	288
1	241	285
2	1414	285
0	8380	285

Stop Event

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

Counts

21 → 551

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z))
(.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) z))))
(.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 y #s(literal 1 binary64)) (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)))
(.f64 (/.f64 y (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 y (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (/.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)))
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (.f64 x y) (neg.f64 (/.f64 #s(literal 1 binary64) z))))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 z))
(.f64 (/.f64 (neg.f64 x) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 (neg.f64 x) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 (/.f64 (neg.f64 x) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 x z) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 z y))
(.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 x z))
(.f64 (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z) y)
(.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z)
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 x y))
(.f64 (.f64 (neg.f64 y) x) (neg.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 x z)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z y) x) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 (.f64 z y) x) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 z (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 x y) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 x (/.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 #s(literal 1 binary64) z)))
(.f64 x (.f64 y (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(.f64 y (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))
(/.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 x (.f64 (neg.f64 z) y)) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 (.f64 x (.f64 (neg.f64 z) y)) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 (.f64 (neg.f64 y) x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x)))
(/.f64 (.f64 (.f64 z y) x) (.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 (.f64 (.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(/.f64 z (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x y)))
(/.f64 (.f64 x y) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(/.f64 y (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) x))
(neg.f64 (.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z))) (.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 x z)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 x z)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 (*.f64 z y) x))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(.f64 (.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(.f64 (pow.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
(.f64 (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))
(.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal 1 binary64))
(.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 z))
(/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal 1 binary64))
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)
(neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))
(exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal 1 binary64))
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
(neg.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))
(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y)
(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
(.f64 #s(approx (/ x (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y))
(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
(.f64 z (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y))
(.f64 y (.f64 z #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) y))
(.f64 (.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 y z)
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 y (/.f64 #s(literal 1 binary64) z))
(neg.f64 (*.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y))
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 z y) x) (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
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(pow.f64 (*.f64 (/.f64 z a) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 a (.f64 (neg.f64 z) z)) (/.f64 a (.f64 (neg.f64 z) z)))) (+.f64 #s(literal 0 binary64) (/.f64 a (.f64 (neg.f64 z) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a (.f64 (neg.f64 z) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a (.f64 (neg.f64 z) z)) (/.f64 a (.f64 (neg.f64 z) z)) (.f64 #s(literal 0 binary64) (/.f64 a (*.f64 (neg.f64 z) z))))))
(/.f64 (.f64 (neg.f64 (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 (neg.f64 z) z)))
(/.f64 (.f64 (.f64 (.f64 a a) (neg.f64 a)) #s(literal 1 binary64)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 (neg.f64 z) z)))
(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 z) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)) (.f64 (.f64 (neg.f64 z) z) a)) (.f64 (.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)))
(/.f64 (/.f64 (neg.f64 a) z) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z a)) z))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z a) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z a) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 z a) z))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 z a)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z a) z))
(/.f64 (neg.f64 a) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 a z) z)
(/.f64 a (*.f64 z z))
(neg.f64 (/.f64 a (*.f64 (neg.f64 z) z)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 a) z) z))
(-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 (neg.f64 z) z)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z a) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 a (*.f64 z z)))

eval250.0ms (2.1%)

Memory: 48.8MiB live, 450.9MiB allocated
Compiler: Compiled 44 450 to 2 696 computations (93.9% saved)

prune410.0ms (3.4%)

Memory

-17.7MiB live, 692.1MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 660	14	1 674
Fresh	4	10	14
Picked	1	4	5
Done	0	1	1
Total	1 665	29	1 694

Accuracy

94.6%

Counts

1 694 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	19.5%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	25.2%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	34.0%	(/.f64 (.f64 z y) (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) x))
✓	78.3%	(/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))
▶	78.3%	(/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))))
	77.0%	(/.f64 (.f64 y x) #s(approx (/ (sqrt (- ( z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	70.6%	(/.f64 z (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (.f64 x y)))
	59.2%	(.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)
	70.9%	(.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z)
	34.6%	(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y x))
	77.6%	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)))
	34.3%	(.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 z y))
	52.1%	(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 z y))
▶	31.7%	(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
▶	53.5%	(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
	46.0%	(.f64 (.f64 #s(approx (/ 1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) z)) x) (*.f64 z y))
▶	52.2%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
✓	46.0%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
	45.3%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))))
	43.6%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))))
	35.8%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
✓	35.1%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	34.4%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
▶	51.7%	(.f64 x #s(approx (/ ( z y) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y)))
	62.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)) (.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
✓	55.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
✓	71.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 963 to 613 computations (36.3% saved)

simplify122.0ms (1%)

Memory

-26.9MiB live, 97.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) z)
cost-diff	0	(.f64 (.f64 (neg.f64 x) z) y)
cost-diff	448	(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
cost-diff	0	#s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))
cost-diff	0	(/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
cost-diff	0	(/.f64 (.f64 (.f64 t y) a) (*.f64 z z))
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (* z y) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y))
cost-diff	0	(.f64 x #s(approx (/ ( z y) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y)))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
cost-diff	0	(.f64 #s(approx (/ x (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 x z)) y)
cost-diff	0	(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
cost-diff	0	(*.f64 y x)
cost-diff	192	(.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))
cost-diff	384	(/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))))
cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))

Rules

4 132×	`lower-*.f32`
4 100×	`lower-*.f64`
3 616×	`lower-fma.f32`
3 610×	`lower-fma.f64`
2 082×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	470
0	91	462
1	165	461
2	324	460
3	729	454
4	1441	452
5	1984	452
6	3204	452
7	6960	452
0	8413	452

Stop Event

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

Calls

Call 1

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

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

localize351.0ms (2.9%)

Memory

15.6MiB live, 327.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.7191873184866013	(.f64 (.f64 (neg.f64 x) z) y)
accuracy	9.732629112723497	(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
accuracy	26.621537070595167	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	38.770695235216415	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0.078125	(/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
accuracy	1.6808834634963525	(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
accuracy	17.84238342433941	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))))
accuracy	20.26695179559227	#s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))
accuracy	0.046875	(.f64 x #s(approx (/ ( z y) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y)))
accuracy	4.7527904465202235	(.f64 (.f64 t y) a)
accuracy	18.349229858189506	(/.f64 (.f64 (.f64 t y) a) (*.f64 z z))
accuracy	21.283419832182155	#s(approx (/ (* z y) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 x z)
accuracy	6.248530216252678	(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
accuracy	9.219376319648083	(.f64 #s(approx (/ x (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 x z)) y)
accuracy	19.840183695024812	#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))
accuracy	1.8806148844632222	(/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))))
accuracy	2.38526120656086	(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy	20.26695179559227	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
accuracy	22.291354724574163	(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))

Samples

213.0ms	117×	2	valid
67.0ms	89×	0	valid
33.0ms	50×	1	valid

Compiler

Compiled 336 to 50 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 58.0ms (33.5% of total)

ival-div: 45.0ms (26% of total)

ival-log: 30.0ms (17.3% of total)

adjust: 18.0ms (10.4% of total)

ival-sqrt: 6.0ms (3.5% of total)

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

ival-exp: 4.0ms (2.3% of total)

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

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series205.0ms (1.7%)

Memory

4.3MiB live, 334.4MiB allocated

Counts

27 → 1 104

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (* a t) (pow z 2)))) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a t) (pow z 2))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2))))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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)))))))))))))))))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 a) (#s(alt (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) (patch (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) (patch (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) (patch (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) (patch (.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) #<representation binary64>) () ())) ())
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))))) (patch (.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))))) (patch (.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) #<representation binary64>) () ())) ())
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t))))) (patch (.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) z) y) (patch (.f64 (.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) z) y) (patch (.f64 (.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) z) y) (patch (.f64 (.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) z) y) (patch (.f64 (.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) z) (patch (.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) z) (patch (.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) z) (patch (.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) z) (patch (.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	z	@	0	((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (+ (* (/ (* (* t y) a) (* z z)) 1/2) y) (/ (* (* t y) a) (* z z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (* (neg x) z) y) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* t y) a) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))))
18.0ms	t	@	-inf	((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (+ (* (/ (* (* t y) a) (* z z)) 1/2) y) (/ (* (* t y) a) (* z z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (* (neg x) z) y) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* t y) a) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))))
18.0ms	a	@	-inf	((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (+ (* (/ (* (* t y) a) (* z z)) 1/2) y) (/ (* (* t y) a) (* z z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (* (neg x) z) y) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* t y) a) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))))
12.0ms	z	@	inf	((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (+ (* (/ (* (* t y) a) (* z z)) 1/2) y) (/ (* (* t y) a) (* z z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (* (neg x) z) y) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* t y) a) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))))
7.0ms	z	@	-inf	((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) z) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (+ (* (/ (* (* t y) a) (* z z)) 1/2) y) (/ (* (* t y) a) (* z z)) (* (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z))))) (* z y) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (* (neg x) z) y) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* t y) a) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))))

simplify324.0ms (2.7%)

Memory

3.7MiB live, 601.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 356×	`lower-fma.f64`
9 356×	`lower-fma.f32`
7 144×	`lower-*.f64`
7 144×	`lower-*.f32`
6 074×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1435	28929
1	4847	28068
0	8280	27114

Stop Event

1×	iter limit
1×	node limit

Counts

1 104 → 1 080

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4))))))
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* -1/2 (/ (* a t) (pow z 2)))
(* a (+ (* -1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2)))))
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))))
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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))))))))))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2))))))
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))
y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z))
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* 1/2 (/ (* a t) (pow z 2)))
(* a (+ (* 1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* 1/2 (/ t (pow z 2)))))
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))))))
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* 1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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)))))))))))) (* 1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (/ (sqrt -1) z))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))))
(* 1/2 (/ (* a (* t y)) (pow z 2)))
(* a (+ (* 1/2 (/ (* t y) (pow z 2))) (/ y a)))
(* a (+ (* 1/2 (/ (* t y) (pow z 2))) (/ y a)))
(* a (+ (* 1/2 (/ (* t y) (pow z 2))) (/ y a)))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* -1/2 (/ (* a t) z))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* a (+ (* -1/2 (/ t z)) (/ z a)))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* -1/2 (/ (pow z 2) (* a t))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/2 (/ (pow z 4) (* (pow a 2) (pow t 2))))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a)) (* 1/2 (/ (* a (pow z 4)) (pow t 2)))) (pow a 3))) (* -1/2 (/ (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))
(* 1/2 (/ (* a (* t y)) (pow z 2)))
(* -1 (* a (+ (* -1 (/ y a)) (* -1/2 (/ (* t y) (pow z 2))))))
(* -1 (* a (+ (* -1 (/ y a)) (* -1/2 (/ (* t y) (pow z 2))))))
(* -1 (* a (+ (* -1 (/ y a)) (* -1/2 (/ (* t y) (pow z 2))))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (/ (pow z 2) (* a t))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* 1/2 (/ (pow z 2) (* a t))) (* 1/2 (/ (pow z 4) (* (pow a 2) (pow t 2))))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (pow z 4)) (pow t 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a))) (pow a 3))) (* 1/2 (/ (pow z 2) (* a t)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* -1/2 (/ (* a t) z))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
1
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* -1/8 (/ (* (pow a 2) t) (pow z 4))))))
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/8 (/ (pow a 2) (pow z 4))) (* -1/16 (/ (* (pow a 3) t) (pow z 6))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* -1/2 (/ (* a t) (pow z 2)))
(* t (+ (* -1/2 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* -1/2 (/ a (pow z 2)))))
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* -1/6 (* t (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))))
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* -1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -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))))))))))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ (* x y) z)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2))))))
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))
y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(/ x z)
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z))
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z))
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* 1/2 (/ (* a t) (pow z 2)))
(* t (+ (* 1/2 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* 1/2 (/ a (pow z 2)))))
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/6 (* t (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))))))
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* 1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -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)))))))))))) (* 1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* -1/2 (/ (* a t) z)))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (/ (sqrt -1) z))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
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(* t (+ (* 1/2 (/ (* a y) (pow z 2))) (/ y t)))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* (sqrt (* a t)) (sqrt -1))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* -1/2 (/ (* a t) z))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* t (+ (* -1/2 (/ a z)) (/ z t)))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))
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(+ (* -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 (/ (* a (* t y)) (pow z 2)))
(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (* a y) (pow z 2))))))
(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (* a y) (pow z 2))))))
(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (* a y) (pow z 2))))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (/ (pow z 2) (* a t))))
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* 1/2 (/ (pow z 2) (* a t))) (* 1/2 (/ (pow z 4) (* (pow a 2) (pow t 2))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -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 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* -1/2 (/ (* a t) z))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
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(* (sqrt (* a t)) (/ (sqrt -1) z))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) z)
(/ (+ (* (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))))))) z)
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) z)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
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(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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(* (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))))))))))
(* 1/2 (/ (* a (* t y)) (pow z 2)))
(/ (+ (* 1/2 (* a (* t y))) (* y (pow z 2))) (pow z 2))
(/ (+ (* 1/2 (* a (* t y))) (* y (pow z 2))) (pow z 2))
(/ (+ (* 1/2 (* a (* t y))) (* y (pow z 2))) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))
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(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* 1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))))
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* (pow z 2) (+ (* 1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 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)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))) (* 1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(* -1/2 (/ (* a t) z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(/ (+ (* -1/2 (* a t)) (pow z 2)) z)
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
1
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1/2 (/ (* a t) (pow z 2)))
(/ (+ (* -1/2 (* a t)) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2)))) (pow z 2))
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(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)
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y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
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y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
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(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
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z
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(* -1 (* x z))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(pow z 2)
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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-1
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(- (+ (* 1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) 1)
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(* -1 (/ x z))
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(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 (* x y))
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(* -1 y)
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y
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
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(+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* -1 (* x y))
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(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (/ x z))
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z))
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z))
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(* -1 z)
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
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(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(log -1)
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(+ (log -1) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))
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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))))))))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
z
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* -1 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))))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(* y (+ 1 (* 1/2 (/ (* a t) (pow z 2)))))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* y (- (* -1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (* a t) (pow z 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (* a t) (pow z 2))) 1)))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(/ (* a (* t y)) (pow z 2))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* a (* t y))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

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

rewrite181.0ms (1.5%)

Memory

10.6MiB live, 280.7MiB allocated

Rules

6 386×	`lower-fma.f32`
6 380×	`lower-fma.f64`
4 828×	`lower-*.f32`
4 796×	`lower-*.f64`
3 396×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	384
0	91	376
1	293	368
2	1711	367
0	8410	367

Stop Event

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

Counts

27 → 688

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
(.f64 (neg.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z))
(.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(pow.f64 (.f64 (/.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 t z) (*.f64 #s(literal -1/2 binary64) a) z)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1 binary64))
(pow.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(/.f64 (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)
(/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) (.f64 (.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) (.f64 (*.f64 y z) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))) (/.f64 y (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 y (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))))
(.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.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) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (.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 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.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 x) z) #s(literal -1 binary64)) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (.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 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) z) y)
(.f64 (.f64 x (/.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 (.f64 y z) x) (/.f64 #s(literal 1 binary64) #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) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) z)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) z))
(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (/.f64 y (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y z))
(.f64 (.f64 y z) (/.f64 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) (/.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 y (/.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 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y z)))
(.f64 y (.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) (.f64 (*.f64 y z) x)))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) 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 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 x y))
(.f64 z (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) (.f64 (*.f64 y z) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) z) y)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
(/.f64 (.f64 (neg.f64 z) y) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) x)))
(/.f64 (.f64 (neg.f64 x) y) (neg.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (fma.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)))) (neg.f64 (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 t t) t) #s(literal -1/8 binary64)) (.f64 (.f64 z z) z)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)) (.f64 z z))) (.f64 (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))))
(/.f64 (-.f64 (.f64 z z) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z))) (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (.f64 z z))) (neg.f64 (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 t t) t) #s(literal -1/8 binary64)) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 z z (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) t) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) t) z)) z))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 t t) t) #s(literal -1/8 binary64)) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 z (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (.f64 z z)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 t t) t) #s(literal -1/8 binary64)) (.f64 (.f64 z z) z)) (fma.f64 z z (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) t) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) t) z)) z)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 t t) t) #s(literal -1/8 binary64)) (.f64 (.f64 z z) z)) (fma.f64 z (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64))) (-.f64 (.f64 z z) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) t) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) t) z)) z)) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 t t) t) #s(literal -1/8 binary64)) (.f64 (*.f64 z z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) z)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (/.f64 (neg.f64 t) z) z)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 a (/.f64 #s(literal 1 binary64) t)) z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t (/.f64 #s(literal 1 binary64) a)) z)
(fma.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) z)
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) z)
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)
(fma.f64 (*.f64 (/.f64 t z) #s(literal -1/2 binary64)) a z)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) (/.f64 #s(literal -1 binary64) z) z)
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) t) (/.f64 #s(literal 1 binary64) z) z)
(fma.f64 (*.f64 (/.f64 t z) a) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 #s(literal 1 binary64) a)) z)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) t)) z)
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) z)
(fma.f64 #s(literal 1 binary64) z (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 binary64) (neg.f64 z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 a z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) t)) z)
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t z) a) z)
(fma.f64 a (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal -1/2 binary64) t)) z)
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) z)
(fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal -1/2 binary64) a)) z)
(fma.f64 z #s(literal 1 binary64) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))
(-.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (+.f64 z (.f64 (.f64 (/.f64 t z) a) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 t t))) (.f64 z z)) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))))
(+.f64 (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) z)
(+.f64 z (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
(.f64 (pow.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))
(.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)) #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1 binary64))
(neg.f64 (neg.f64 (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)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1/2 binary64)))

eval366.0ms (3%)

Memory: -8.9MiB live, 383.1MiB allocated
Compiler: Compiled 51 456 to 3 801 computations (92.6% saved)

prune598.0ms (5%)

Memory

26.9MiB live, 575.2MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1 748	20	1 768
Fresh	5	14	19
Picked	2	3	5
Done	1	4	5
Total	1 756	41	1 797

Accuracy

94.6%

Counts

1 797 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	19.5%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	55.0%	(/.f64 (.f64 (.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
	36.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	25.2%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	34.0%	(/.f64 (.f64 z y) (/.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))) x))
	51.5%	(/.f64 (.f64 y z) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) x))
	78.3%	(/.f64 (.f64 y x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
	78.2%	(/.f64 (.f64 y x) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
	78.0%	(/.f64 (.f64 y x) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))))
	78.2%	(/.f64 (.f64 y x) (exp.f64 (-.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) (log.f64 z))))
	73.8%	(/.f64 (.f64 y x) (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))) #s(literal -1 binary64))))
	6.2%	(/.f64 (.f64 y x) (exp.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z)) (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))))) #s(literal -1 binary64))))
	73.8%	(/.f64 (.f64 y x) (exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))))))) (/.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) #s(literal 2 binary64)) (.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))))) #s(literal -1 binary64))))
	73.9%	(/.f64 (.f64 y x) (exp.f64 (.f64 (log.f64 (/.f64 z (exp.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))) #s(literal -1 binary64))))
	78.3%	(/.f64 (.f64 y x) (exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z))))
	77.0%	(/.f64 (.f64 y x) #s(approx (/ (sqrt (- ( z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	59.2%	(.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)
	71.0%	(.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) z)
	34.6%	(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y x))
	77.6%	(.f64 (/.f64 y (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z) #s(literal 1/2 binary64))))
	77.6%	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) z)))
	34.3%	(.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 z y))
	52.1%	(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (.f64 z y))
✓	31.7%	(.f64 (.f64 (.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
✓	53.5%	(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z)
	52.1%	(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) y) z)
	49.7%	(.f64 (.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))) y) z)
	46.0%	(.f64 (.f64 #s(approx (/ 1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) z)) x) (*.f64 z y))
	50.7%	(.f64 (.f64 z y) (/.f64 x (exp.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
	52.1%	(.f64 (.f64 z y) (/.f64 x #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal -1/2 binary64) a)) z))))
	49.6%	(.f64 (.f64 z y) (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)) x)) #s(literal -1 binary64))))
✓	46.0%	(.f64 (.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)))
	64.0%	(.f64 #s(approx ( (/ x (sqrt (+ (* (neg a) t) (* z z)))) y) (/.f64 (*.f64 y x) z)) z)
	35.8%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
✓	35.1%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	34.4%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
✓	51.7%	(.f64 x #s(approx (/ ( z y) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 (.f64 (.f64 t y) a) (*.f64 z z)) #s(literal 1/2 binary64) y)))
	62.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)) (.f64 (*.f64 y x) z))) #s(literal -1 binary64)))
✓	55.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 (.f64 t (.f64 y x)) (/.f64 a (.f64 z z))) #s(literal 1/2 binary64) (*.f64 y x)))
✓	71.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Compiler

Compiled 2 065 to 775 computations (62.5% saved)

regimes275.0ms (2.3%)

Memory

-33.1MiB live, 266.8MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

132.0ms	(*.f64 t a)
35.0ms	x
19.0ms	z
18.0ms	y
18.0ms	a

Results

Accuracy	Segments	Branch
78.3%	1	`x`
78.3%	1	`y`
92.5%	2	`z`
78.3%	1	`t`
78.3%	1	`a`
92.1%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
78.3%	1	`(*.f64 x y)`
84.2%	3	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes13.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.4%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes26.0ms (0.2%)

Memory

-23.6MiB live, 15.3MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
91.3%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
92.5%	3	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes31.0ms (0.3%)

Memory

-20.8MiB live, 21.9MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

20.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
9.0ms	z

Results

Accuracy	Segments	Branch
89.5%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
91.3%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes17.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.0%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
86.7%	2	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes22.0ms (0.2%)

Memory

-25.6MiB live, 13.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes49.0ms (0.4%)

Memory

39.1MiB live, 77.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	(*.f64 x y)
4.0ms	y
4.0ms	t
4.0ms	z
4.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
71.1%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
71.1%	1	`a`
71.1%	1	`x`
71.1%	1	`t`
71.1%	1	`(*.f64 x y)`
71.1%	1	`y`
71.1%	1	`(*.f64 t a)`
75.5%	2	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes33.0ms (0.3%)

Memory

-29.4MiB live, 8.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

32.0ms

Results

Accuracy	Segments	Branch
75.1%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes33.0ms (0.3%)

Memory

-9.5MiB live, 33.2MiB allocated

Accuracy

Total -36.9b remaining (-199.5%)

Threshold costs -36.9b (-199.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
71.1%	1	`x`
71.1%	1	`y`
71.1%	1	`t`
71.1%	1	`(*.f64 x y)`
71.1%	1	`(*.f64 t a)`
71.1%	1	`z`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.3698718054946733e+77	6.441297040371198e+77

Samples

4.0ms	64×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 186 to 124 computations (33.3% saved)

Precisions

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

ival-mult: 1.0ms (36.6% 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)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.3698718054946733e+77	6.441297040371198e+77

Compiler

Compiled 186 to 128 computations (31.2% saved)

bsearch4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	4.3698718054946733e+77	6.441297040371198e+77

Samples

2.0ms	32×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 186 to 128 computations (31.2% saved)

Precisions

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

ival-mult: 1.0ms (67.9% of total)

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

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

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

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

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

bsearch32.0ms (0.3%)

Memory

-12.2MiB live, 26.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.3698718054946733e+77	6.441297040371198e+77
31.0ms	2.6552739726453813e-47	7.411083884241234e-47

Samples

26.0ms	80×	0	valid
1.0ms	15×	0	invalid

Compiler

Compiled 386 to 258 computations (33.2% saved)

Precisions

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

ival-mult: 23.0ms (93.8% of total)

ival-sqrt: 1.0ms (4.1% of total)

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

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

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

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

bsearch98.0ms (0.8%)

Memory

-3.2MiB live, 35.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.3698718054946733e+77	6.441297040371198e+77
95.0ms	9.702831177701802e-141	1.3434155650434464e-125

Samples

84.0ms	160×	0	valid
4.0ms	62×	0	invalid

Compiler

Compiled 566 to 378 computations (33.2% saved)

Precisions

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

ival-mult: 5.0ms (55.8% of total)

ival-sub: 1.0ms (11.2% of total)

ival-div: 1.0ms (11.2% of total)

ival-sqrt: 1.0ms (11.2% of total)

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

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

bsearch14.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2016218488578927e-68	9.751841560636083e-68

Samples

7.0ms	96×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 256 to 176 computations (31.3% saved)

Precisions

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

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

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

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

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

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

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

bsearch84.0ms (0.7%)

Memory

-25.3MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.751841560636083e-68	1.546858302933193e-67

Samples

5.0ms	64×	0	valid
1.0ms	19×	0	invalid

Compiler

Compiled 134 to 96 computations (28.4% saved)

Precisions

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

ival-mult: 2.0ms (59.1% of total)

ival-sqrt: 1.0ms (29.5% of total)

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

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

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

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

bsearch20.0ms (0.2%)

Memory

34.8MiB live, 34.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.149060188026861e-120	4.4942618372053016e-117

Samples

9.0ms	128×	0	valid
3.0ms	49×	0	invalid

Compiler

Compiled 222 to 156 computations (29.7% saved)

Precisions

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

ival-mult: 4.0ms (56.1% of total)

ival-sub: 1.0ms (14% of total)

ival-div: 1.0ms (14% of total)

ival-sqrt: 1.0ms (14% of total)

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

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

bsearch93.0ms (0.8%)

Memory

-50.6MiB live, 6.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
92.0ms	6.149060188026861e-120	4.4942618372053016e-117

Samples

85.0ms	19×	0	invalid
4.0ms	64×	0	valid

Compiler

Compiled 222 to 156 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-sqrt: 84.0ms (96.9% of total)

ival-mult: 2.0ms (2.3% of total)

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

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

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

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

simplify10.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	439
1	109	439
2	119	439
3	127	439
4	130	439
5	131	439

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))
(if (<=.f64 z #s(literal 440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 3805229288805289/51422017416287688817342786954917203280710495801049370729644032 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- ( z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal 3621228318366551/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 z y)) (if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal 5220922647856647/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 8802718417897835/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 1780754874524237/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))

Outputs
(if (<=.f64 z #s(literal 440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (/.f64 (.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))
(if (<=.f64 z #s(literal 440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (/.f64 (.f64 x y) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))
(if (<=.f64 z #s(literal 440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (/.f64 (.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 (/.f64 t (.f64 z z)) a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (/.f64 (.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 (/.f64 t (.f64 z z)) a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 3805229288805289/51422017416287688817342786954917203280710495801049370729644032 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- ( z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal 3805229288805289/51422017416287688817342786954917203280710495801049370729644032 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 y z)) (if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 x z)) (/.f64 (.f64 x y) #s(approx (/ (sqrt (- ( z z) (* t a))) z) (fma.f64 (.f64 (/.f64 t (.f64 z z)) a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal 3621228318366551/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 z y)) (if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal 3621228318366551/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 t (neg.f64 a))))) (.f64 y z)) (if (<=.f64 z #s(literal 520000000000000037326774291942766390696796011938365619920116846077051658043392 binary64)) (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 x z)) (/.f64 (.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 (/.f64 t (.f64 z z)) a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal 5220922647856647/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (/.f64 (.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 5220922647856647/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) (/.f64 (.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) (fma.f64 (.f64 (/.f64 t (.f64 z z)) a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 8802718417897835/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 8802718417897835/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 t (neg.f64 a))))) x) #s(approx (/ ( (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 1780754874524237/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 1780754874524237/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))

soundness962.0ms (8%)

Memory

24.2MiB live, 1 008.6MiB allocated

Rules

9 404×	`lower-fma.f32`
9 400×	`lower-fma.f64`
8 704×	`lower-*.f64`
8 704×	`lower-*.f32`
8 614×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1045	22561
1	3486	21980
0	8230	21280
0	36	188
0	56	188
1	181	188
2	987	188
0	8620	188
0	46	292
0	70	288
1	241	285
2	1414	285
0	8380	285
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8429	37
0	495	3663
1	1609	3591
2	6491	3573
0	8282	3461

Stop Event

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

Compiler

Compiled 1 251 to 576 computations (54% saved)

preprocess481.0ms (4%)

Memory: -5.8MiB live, 791.4MiB allocated
Remove: (sort t a)
Compiler: Compiled 2 708 to 1 210 computations (55.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze225.0ms (1.9%)

sample1.7s (14.1%)

explain395.0ms (3.3%)

preprocess113.0ms (0.9%)

eval28.0ms (0.2%)

prune3.0ms (0%)

simplify175.0ms (1.5%)

localize31.0ms (0.3%)

series72.0ms (0.6%)

simplify159.0ms (1.3%)

rewrite232.0ms (1.9%)

eval262.0ms (2.2%)

prune577.0ms (4.8%)

simplify554.0ms (4.6%)

localize150.0ms (1.2%)

series99.0ms (0.8%)

simplify241.0ms (2%)

rewrite211.0ms (1.8%)

eval211.0ms (1.7%)

prune249.0ms (2.1%)

simplify130.0ms (1.1%)

localize102.0ms (0.8%)

series173.0ms (1.4%)

simplify312.0ms (2.6%)

rewrite515.0ms (4.3%)

eval250.0ms (2.1%)

prune410.0ms (3.4%)

simplify122.0ms (1%)

localize351.0ms (2.9%)

series205.0ms (1.7%)

simplify324.0ms (2.7%)

rewrite181.0ms (1.5%)

eval366.0ms (3%)

prune598.0ms (5%)

regimes275.0ms (2.3%)

regimes13.0ms (0.1%)

regimes26.0ms (0.2%)

regimes10.0ms (0.1%)

regimes31.0ms (0.3%)

regimes17.0ms (0.1%)

regimes22.0ms (0.2%)

regimes49.0ms (0.4%)

regimes33.0ms (0.3%)

regimes33.0ms (0.3%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

bsearch32.0ms (0.3%)

bsearch98.0ms (0.8%)

bsearch14.0ms (0.1%)

bsearch84.0ms (0.7%)

bsearch20.0ms (0.2%)

bsearch93.0ms (0.8%)

simplify10.0ms (0.1%)

soundness962.0ms (8%)

preprocess481.0ms (4%)

end0.0ms (0%)

Profiling