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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze400.0ms (4.9%)

Memory

34.7MiB live, 225.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.8s (21.6%)

Memory

12.3MiB live, 1 755.5MiB allocated

Samples

992.0ms	8 256×	0	valid
192.0ms	2 051×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 763.0ms

ival-mult: 523.0ms (68.5% of total)

ival-sqrt: 105.0ms (13.8% of total)

ival-div: 63.0ms (8.3% of total)

ival-sub: 60.0ms (7.9% of total)

ival-true: 8.0ms (1% of total)

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

Bogosity

explain137.0ms (1.7%)

Memory

13.7MiB live, 173.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
100	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
33	-	1	(-6.096010073127543e-223 -1.6582339042131006e+163 -5.128225837059075e-264 9.644858846465228e-63 -1.346273573340893e-166)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
29	-	1	(1.6299190192475847e-247 1.226324908244771e-68 3.1790982273426124e+67 -9.128981488682472e-116 3.2023318285679617e-260)	`(.f64 (.f64 x y) z)`
3	-	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	92	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	92
↳	`(*.f64 t a)`	overflow	23
↳	`(*.f64 z z)`	overflow	76
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	30	0
↳	`(*.f64 x y)`	overflow	30
↳	`(.f64 (.f64 x y) z)`	overflow	48
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	16	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	12	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	8	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	8
↳	`(*.f64 t a)`	underflow	48
↳	`(*.f64 z z)`	underflow	46
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	3	0
↳	`(*.f64 z z)`	overflow	76
↳	`(*.f64 t a)`	overflow	23
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	2	0
↳	`(*.f64 x y)`	underflow	30
↳	`(.f64 (.f64 x y) z)`	underflow	32

Confusion

	Predicted +	Predicted -
+	102	1
-	27	126

Precision

0.7906976744186046

Recall

0.9902912621359223

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	1
-	27	0	126

Precision?

0.7906976744186046

Recall?

0.9902912621359223

Freqs

test

number	freq
0	127
1	96
2	32
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions

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

ival-mult: 13.0ms (55.9% of total)

ival-sqrt: 4.0ms (17.2% of total)

ival-div: 3.0ms (12.9% of total)

ival-sub: 2.0ms (8.6% of total)

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

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

preprocess93.0ms (1.1%)

Memory

-3.4MiB live, 72.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify16.0ms (0.2%)

Memory

-17.6MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

15.0MiB live, 52.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6015625000000001	(-.f64 (.f64 z z) (.f64 t a))
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	23.33880810850479	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

24.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (60.8% of total)

ival-div: 2.0ms (17.4% of total)

ival-sqrt: 2.0ms (17.4% of total)

ival-sub: 1.0ms (8.7% of total)

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

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

series67.0ms (0.8%)

Memory

-25.5MiB live, 62.8MiB allocated

Counts

5 → 65

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	z	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	t	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
4.0ms	a	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify156.0ms (1.9%)

Memory

20.0MiB live, 216.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite137.0ms (1.7%)

Memory

-3.3MiB live, 120.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 313

Calls

Call 1

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

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

eval75.0ms (0.9%)

Memory: -7.2MiB live, 64.0MiB allocated
Compiler: Compiled 14 389 to 1 662 computations (88.4% saved)

prune12.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

96.0%

Counts

377 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
▶	61.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
	31.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
▶	44.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	72.7%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
	19.6%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	39.1%	(.f64 (/.f64 (.f64 y x) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) z)
▶	65.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
	19.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 t x) (.f64 (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (.f64 z z) y))) (.f64 (/.f64 (.f64 a x) z) (/.f64 y z)))) t (*.f64 y x)))
	61.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x)))
▶	14.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 498 to 370 computations (25.7% saved)

simplify116.0ms (1.4%)

Memory

-17.3MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	277
0	63	277
1	116	277
2	266	277
3	729	275
4	2979	275
5	6560	275
0	8473	273

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.3%)

Memory

-8.6MiB live, 106.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.06992528813103	(/.f64 (.f64 (.f64 (*.f64 y x) t) a) z)
accuracy	6.0667206155293245	(.f64 (.f64 y x) t)
accuracy	6.2347348266477365	(.f64 (.f64 (*.f64 y x) t) a)
accuracy	19.136089570438568	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
accuracy	0.0	(neg.f64 t)
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
accuracy	23.33880810850479	(sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	18.313516293962472	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	23.33880810850479	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	54.83158395283118	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
accuracy	1.9228889859468752	(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
accuracy	18.384309634999745	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))

Samples

69.0ms

256×

valid

Compiler

Compiled 232 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 28.0ms (60.5% of total)

ival-div: 8.0ms (17.3% of total)

ival-sqrt: 4.0ms (8.6% of total)

ival-add: 3.0ms (6.5% of total)

ival-neg: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory

13.1MiB live, 86.5MiB allocated

Counts

20 → 89

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (+ (* (neg t) a) (* z z)))) (sqrt (+ (* (neg t) a) (* z z))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (neg t) (* (* (* y x) t) a) (* (* y x) t))
7.0ms	y	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (+ (* (neg t) a) (* z z)))) (sqrt (+ (* (neg t) a) (* z z))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (neg t) (* (* (* y x) t) a) (* (* y x) t))
5.0ms	x	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (+ (* (neg t) a) (* z z)))) (sqrt (+ (* (neg t) a) (* z z))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (neg t) (* (* (* y x) t) a) (* (* y x) t))
5.0ms	x	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (+ (* (neg t) a) (* z z)))) (sqrt (+ (* (neg t) a) (* z z))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (neg t) (* (* (* y x) t) a) (* (* y x) t))
4.0ms	a	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (+ (* (neg t) a) (* z z)))) (sqrt (+ (* (neg t) a) (* z z))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (neg t) (* (* (* y x) t) a) (* (* y x) t))

simplify215.0ms (2.7%)

Memory

-0.8MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	2755
1	1989	2671
0	8519	2557

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

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

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

rewrite233.0ms (2.9%)

Memory

21.7MiB live, 271.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	217
0	63	217
1	183	217
2	1097	217
0	9088	208

Stop Event

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

Counts

20 → 296

Calls

Call 1

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

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

eval56.0ms (0.7%)

Memory: 8.5MiB live, 84.0MiB allocated
Compiler: Compiled 16 511 to 1 625 computations (90.2% saved)

prune34.0ms (0.4%)

Memory

-31.5MiB live, 50.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	411	9	420
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	420	11	431

Accuracy

96.4%

Counts

431 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
	42.2%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	44.8%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	31.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
▶	19.6%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
▶	25.7%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a))))
	46.9%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) y) x)
▶	82.7%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) y) x)
	61.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x)))
✓	14.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
	16.4%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (.f64 (.f64 (/.f64 a z) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 t y) x) z))))

Compiler

Compiled 491 to 363 computations (26.1% saved)

simplify45.0ms (0.5%)

Memory

21.8MiB live, 58.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	363
0	64	360
1	107	360
2	227	360
3	406	360
4	688	360
5	1106	360
6	1498	360
7	1903	360
8	1921	360
0	1921	360

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize138.0ms (1.7%)

Memory

-32.9MiB live, 191.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a))))
accuracy	18.384309634999745	#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a)))
accuracy	43.403646012875946	#s(approx (+ (* (* -1/2 a) (/ t z)) z) (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a))
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	23.33880810850479	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	41.08335649827738	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	2.334489920106482	(.f64 (.f64 z x) y)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	18.313516293962472	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	23.33880810850479	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(neg.f64 z)
accuracy	6.5301117797493085	(.f64 (.f64 x y) z)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.15524972302719	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.046875	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) y) x)
accuracy	1.9228889859468752	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	2.306146781980714	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) y)
accuracy	18.384309634999745	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))

Samples

113.0ms

256×

valid

Compiler

Compiled 253 to 32 computations (87.4% saved)

Precisions

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

ival-mult: 25.0ms (62.7% of total)

ival-div: 6.0ms (15% of total)

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

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

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

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory

4.6MiB live, 49.7MiB allocated

Counts

21 → 122

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	z	@	0	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (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))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
4.0ms	t	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (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))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
3.0ms	z	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (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))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
3.0ms	z	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (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))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
3.0ms	t	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (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))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))

simplify335.0ms (4.1%)

Memory

14.0MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	4840
1	2758	4661
0	8097	4452

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 120

Calls

Call 1

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

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

rewrite191.0ms (2.4%)

Memory

-4.3MiB live, 224.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	294
0	64	291
1	164	291
2	734	291
3	6631	291
0	8128	291

Stop Event

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

Counts

21 → 305

Calls

Call 1

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

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

eval140.0ms (1.7%)

Memory: -19.6MiB live, 144.6MiB allocated
Compiler: Compiled 17 414 to 1 999 computations (88.5% saved)

prune18.0ms (0.2%)

Memory

16.7MiB live, 54.6MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	440	10	450
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	446	15	461

Accuracy

97.1%

Counts

461 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
	42.2%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
✓	44.8%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	31.8%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
▶	21.1%	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
✓	31.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
▶	32.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) x)
	29.9%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) y)
	42.7%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 t z)) a) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) a) z))))) y) x)
	21.6%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) y) x)
▶	44.1%	(.f64 (.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) x) z)
▶	76.2%	(.f64 (.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)
▶	32.0%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
	40.6%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
✓	14.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 574 to 430 computations (25.1% saved)

simplify33.0ms (0.4%)

Memory

-10.8MiB live, 37.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	311
0	53	311
1	85	311
2	154	311
3	237	311
4	343	311
5	558	311
6	790	311
7	1045	311
8	1069	311
9	1099	311
10	1112	311
11	1125	311
0	1125	311

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize259.0ms (3.2%)

Memory

-2.2MiB live, 110.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) x)
accuracy	16.2841477346376	(/.f64 (.f64 y z) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	23.33880810850479	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	41.08335649827738	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	0.05078125	(/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	16.48785556536618	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
accuracy	23.33880810850479	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	41.08335649827738	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	0.8569072217294846	(.f64 (/.f64 y (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)))) x)
accuracy	8.750820025514143	(.f64 (.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) x) z)
accuracy	18.313516293962472	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	23.33880810850479	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(neg.f64 z)
accuracy	2.334489920106482	(.f64 (.f64 x z) y)
accuracy	7.867414289389462	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.15524972302719	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.046875	(.f64 (.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)
accuracy	2.306146781980714	(.f64 #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)) y)
accuracy	18.57384414866451	#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))

Samples

225.0ms

256×

valid

Compiler

Compiled 241 to 29 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 191.0ms (92.5% of total)

ival-div: 10.0ms (4.8% of total)

ival-sqrt: 2.0ms (1% of total)

ival-neg: 2.0ms (1% of total)

ival-sub: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series68.0ms (0.8%)

Memory

4.1MiB live, 86.8MiB allocated

Counts

20 → 191

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
19.0ms	z	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (/ (* (* x z) y) (sqrt (- (* z z) (* t a)))) (* (* x z) y) (* x z) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (- (* z z) (* t a)))) x) z) (* (/ y (sqrt (- (* z z) (* t a)))) x) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* y z) (/ x (sqrt (- (* z z) (* t a))))) (* y z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
7.0ms	a	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (/ (* (* x z) y) (sqrt (- (* z z) (* t a)))) (* (* x z) y) (* x z) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (- (* z z) (* t a)))) x) z) (* (/ y (sqrt (- (* z z) (* t a)))) x) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* y z) (/ x (sqrt (- (* z z) (* t a))))) (* y z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
4.0ms	t	@	-inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (/ (* (* x z) y) (sqrt (- (* z z) (* t a)))) (* (* x z) y) (* x z) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (- (* z z) (* t a)))) x) z) (* (/ y (sqrt (- (* z z) (* t a)))) x) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* y z) (/ x (sqrt (- (* z z) (* t a))))) (* y z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
3.0ms	t	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (/ (* (* x z) y) (sqrt (- (* z z) (* t a)))) (* (* x z) y) (* x z) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (- (* z z) (* t a)))) x) z) (* (/ y (sqrt (- (* z z) (* t a)))) x) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* y z) (/ x (sqrt (- (* z z) (* t a))))) (* y z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
3.0ms	a	@	inf	((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (/ (* (* x z) y) (sqrt (- (* z z) (* t a)))) (* (* x z) y) (* x z) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (- (* z z) (* t a)))) x) z) (* (/ y (sqrt (- (* z z) (* t a)))) x) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* y z) (/ x (sqrt (- (* z z) (* t a))))) (* y z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (/ (* y z) (sqrt (- (* z z) (* t a)))) x) (/ (* y z) (sqrt (- (* z z) (* t a)))) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))

simplify236.0ms (2.9%)

Memory

5.7MiB live, 193.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1075	8445
1	3901	8251
0	8411	7901

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 189

Calls

Call 1

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

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

rewrite171.0ms (2.1%)

Memory

-2.5MiB live, 129.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	249
0	53	249
1	118	249
2	447	249
3	3230	246
0	9129	225

Stop Event

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

Counts

20 → 228

Calls

Call 1

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

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

eval70.0ms (0.9%)

Memory: 35.4MiB live, 103.9MiB allocated
Compiler: Compiled 15 742 to 1 763 computations (88.8% saved)

prune33.0ms (0.4%)

Memory

-17.8MiB live, 66.1MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	402	8	410
Fresh	2	5	7
Picked	4	1	5
Done	2	1	3
Total	410	15	425

Accuracy

97.1%

Counts

425 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))
	60.5%	(/.f64 (.f64 (.f64 y z) (neg.f64 x)) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	31.8%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	70.7%	(/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) z))
✓	31.5%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	42.0%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) x)
	29.9%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) y)
	75.8%	(.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) z)) (*.f64 x z))
	31.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) y) x)
	42.7%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 t z)) a) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) a) z))))) y) x)
	21.6%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) y) x)
	64.6%	(.f64 (.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) z)) x) z)
✓	32.0%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))))
	51.7%	(.f64 (.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) z)))
	76.2%	#s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))

Compiler

Compiled 1 155 to 427 computations (63% saved)

regimes127.0ms (1.6%)

Memory

-1.2MiB live, 232.5MiB allocated

Counts

39 → 2

Calls

Call 1

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

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

Calls

8 calls:

35.0ms	x
22.0ms	y
15.0ms	a
12.0ms	z
11.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
86.3%	3	`x`
82.7%	1	`y`
92.9%	2	`z`
82.7%	1	`t`
82.7%	1	`a`
93.8%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
82.7%	1	`(*.f64 x y)`
82.7%	1	`(*.f64 t a)`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes67.0ms (0.8%)

Memory

-15.3MiB live, 31.5MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

57.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
8.0ms	z

Results

Accuracy	Segments	Branch
93.8%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
92.8%	3	`z`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
93.8%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes17.0ms (0.2%)

Memory

-10.9MiB live, 26.6MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.8%	2	`z`
82.7%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
89.6%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes9.0ms (0.1%)

Memory

-19.3MiB live, 17.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.2%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes72.0ms (0.9%)

Memory

28.7MiB live, 67.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

8 calls:

38.0ms	(*.f64 x y)
5.0ms	z
5.0ms	y
5.0ms	a
5.0ms	t

Results

Accuracy	Segments	Branch
78.5%	2	`t`
82.8%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
81.0%	2	`y`
79.5%	2	`a`
82.2%	2	`(*.f64 x y)`
80.4%	2	`(*.f64 t a)`
81.1%	2	`x`
82.2%	2	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes32.0ms (0.4%)

Memory

-30.5MiB live, 25.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
80.4%	2	`(*.f64 t a)`
79.0%	2	`y`
80.2%	2	`x`
79.5%	2	`(*.f64 x y)`
79.7%	2	`z`
80.1%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`

Compiler

Compiled 23 to 39 computations (-69.6% saved)

regimes24.0ms (0.3%)

Memory

-11.6MiB live, 27.7MiB allocated

Accuracy

Total -39.8b remaining (-261%)

Threshold costs -39.8b (-261%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	y
2.0ms	a
2.0ms	x
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
76.2%	1	`t`
76.2%	1	`y`
76.2%	1	`(*.f64 x y)`
76.2%	1	`a`
76.2%	1	`z`
76.2%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
76.2%	1	`x`
76.2%	1	`(*.f64 t a)`

Compiler

Compiled 25 to 49 computations (-96% saved)

bsearch15.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9240149965287921e+36	3.3819987126631887e+37

Samples

8.0ms	112×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 241 to 216 computations (10.4% saved)

Precisions

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

ival-mult: 3.0ms (57.8% of total)

ival-sub: 1.0ms (19.3% of total)

ival-div: 1.0ms (19.3% of total)

ival-sqrt: 1.0ms (19.3% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2030394037918143e+161	5.930010886428355e+170
0.0ms	0.0	1.91991e-318

Compiler

Compiled 17 to 20 computations (-17.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2030394037918143e+161	5.930010886428355e+170
0.0ms	0.0	1.91991e-318

Compiler

Compiled 17 to 20 computations (-17.6% saved)

bsearch20.0ms (0.2%)

Memory

-13.7MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.210709896962337e-96	2.6012746817453344e-94

Samples

8.0ms	112×	0	valid
5.0ms	25×	0	invalid

Compiler

Compiled 311 to 258 computations (17% saved)

Precisions

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

ival-mult: 7.0ms (75.5% of total)

ival-sub: 1.0ms (10.8% of total)

ival-div: 1.0ms (10.8% of total)

ival-sqrt: 1.0ms (10.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.210709896962337e-96	2.6012746817453344e-94

Compiler

Compiled 276 to 237 computations (14.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.210709896962337e-96	2.6012746817453344e-94

Compiler

Compiled 276 to 237 computations (14.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.739476195580833e-281	7.399946381225494e-278

Compiler

Compiled 17 to 20 computations (-17.6% saved)

bsearch7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.0883316321254917e-248	-5.603216550561122e-249

Samples

4.0ms

64×

valid

Compiler

Compiled 153 to 136 computations (11.1% saved)

Precisions

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

ival-mult: 1.0ms (41.6% of total)

ival-sqrt: 1.0ms (41.6% of total)

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

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

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

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

simplify24.0ms (0.3%)

Memory

6.8MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	451
1	91	451
2	136	451
3	203	451
4	266	451
5	356	451
6	465	451
7	574	451
8	593	451

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 15500000000000000878880808181793030144 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) y) x) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z)))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) y) x) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))))
(if (<=.f64 z #s(literal 4321318352303853/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)))) x) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) y) x))
(if (<=.f64 z #s(literal 4321318352303853/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)))) x) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 z #s(literal 4321318352303853/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a))))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 3269984763141685/163499238157084246970890052651977815332245607254872681799888670100456398181905536269103756533156716633238933245476249210386222120009203192687752953715493389952614864728152938620316690140722215910002962984513038253533659992483501702257775023591263777382983344691261934931342007929269781293292322816 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) z)) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 (.f64 t a) #s(literal -7557313887629489/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) (.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) z)) (.f64 x z)) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
#s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))

Outputs
(if (<=.f64 z #s(literal 15500000000000000878880808181793030144 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) y) x) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (.f64 z z)))) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) y) x) (if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))))
(if (<=.f64 z #s(literal 4321318352303853/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)))) x) (.f64 (.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))) y) x))
(if (<=.f64 z #s(literal 4321318352303853/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a)))) x) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 z #s(literal 4321318352303853/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 t) a))))) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 3269984763141685/163499238157084246970890052651977815332245607254872681799888670100456398181905536269103756533156716633238933245476249210386222120009203192687752953715493389952614864728152938620316690140722215910002962984513038253533659992483501702257775023591263777382983344691261934931342007929269781293292322816 binary64)) (/.f64 (.f64 (.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) z)) #s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
(if (<=.f64 (.f64 t a) #s(literal -7557313887629489/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) (.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) z)) (.f64 x z)) #s(approx ( (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y)))
#s(approx (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (*.f64 x y))

soundness1.8s (22.6%)

Memory

-2.8MiB live, 798.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	217
0	63	217
1	183	217
2	1097	217
0	9088	208
0	495	2455
1	1730	2376
0	8072	2271
0	42	294
0	64	291
1	164	291
2	734	291
3	6631	291
0	8128	291
0	34	249
0	53	249
1	118	249
2	447	249
3	3230	246
0	9129	225
0	1075	8445
1	3901	8251
0	8411	7901
0	564	2755
1	1989	2671
0	8519	2557
0	12	37
0	19	37
1	53	37
2	301	37
3	2861	37
0	9079	32
0	767	4840
1	2758	4661
0	8097	4452

Stop Event

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

Compiler

Compiled 1 324 to 738 computations (44.3% saved)

preprocess351.0ms (4.3%)

Memory

-28.2MiB live, 653.2MiB allocated

Remove

(sort t a)

(sort x y)

Compiler

Compiled 2 412 to 814 computations (66.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	71	451
1	91	451
2	136	451
3	203	451
4	266	451
5	356	451
6	465	451
7	574	451
8	593	451

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

Iter	Nodes	Cost
0	71	451
1	91	451
2	136	451
3	203	451
4	266	451
5	356	451
6	465	451
7	574	451
8	593	451

start0.0ms (0%)

analyze400.0ms (4.9%)

sample1.8s (21.6%)

explain137.0ms (1.7%)

preprocess93.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify16.0ms (0.2%)

localize31.0ms (0.4%)

series67.0ms (0.8%)

simplify156.0ms (1.9%)

rewrite137.0ms (1.7%)

eval75.0ms (0.9%)

prune12.0ms (0.1%)

simplify116.0ms (1.4%)

localize107.0ms (1.3%)

series63.0ms (0.8%)

simplify215.0ms (2.7%)

rewrite233.0ms (2.9%)

eval56.0ms (0.7%)

prune34.0ms (0.4%)

simplify45.0ms (0.5%)

localize138.0ms (1.7%)

series57.0ms (0.7%)

simplify335.0ms (4.1%)

rewrite191.0ms (2.4%)

eval140.0ms (1.7%)

prune18.0ms (0.2%)

simplify33.0ms (0.4%)

localize259.0ms (3.2%)

series68.0ms (0.8%)

simplify236.0ms (2.9%)

rewrite171.0ms (2.1%)

eval70.0ms (0.9%)

prune33.0ms (0.4%)

regimes127.0ms (1.6%)

regimes67.0ms (0.8%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes72.0ms (0.9%)

regimes32.0ms (0.4%)

regimes24.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch7.0ms (0.1%)

simplify24.0ms (0.3%)

soundness1.8s (22.6%)

preprocess351.0ms (4.3%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	71	451
1	91	451
2	136	451
3	203	451
4	266	451
5	356	451
6	465	451
7	574	451
8	593	451