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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze254.0ms (2.7%)

Memory

-3.7MiB live, 316.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample2.0s (21.6%)

Memory

39.4MiB live, 1 613.6MiB allocated

Samples

1.1s	8 256×	0	valid
197.0ms	2 075×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 940.0ms

ival-mult: 585.0ms (62.2% of total)

ival-sqrt: 177.0ms (18.8% of total)

ival-div: 121.0ms (12.9% of total)

ival-sub: 45.0ms (4.8% of total)

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

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

Bogosity

explain303.0ms (3.3%)

Memory

-27.3MiB live, 229.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
95	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
36	-	0	-	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
23	-	1	(2.4721243275048657e-52 1.4648546090923771e-269 -3.3310704068004953e+83 1.1528946379539829e-181 9.871296726583633e+190)	`(.f64 (.f64 x y) z)`
1	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 t a)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	oflow-rescue	86	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	86
↳	`(*.f64 t a)`	overflow	18
↳	`(*.f64 z z)`	overflow	75
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	27	0
↳	`(*.f64 x y)`	overflow	21
↳	`(.f64 (.f64 x y) z)`	overflow	43
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	18	0
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	9	0
↳	`(*.f64 x y)`	underflow	32
↳	`(.f64 (.f64 x y) z)`	underflow	31
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	9	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	9
↳	`(*.f64 t a)`	underflow	30
↳	`(*.f64 z z)`	underflow	38
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	4	0
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	1	0
↳	`(*.f64 z z)`	overflow	75
↳	`(*.f64 t a)`	overflow	18

Confusion

	Predicted +	Predicted -
+	92	0
-	24	140

Precision

0.7931034482758621

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	24	0	140

Precision?

0.7931034482758621

Recall?

1.0

Freqs

test

number	freq
0	140
1	79
2	36
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 23.0ms (65.7% of total)

ival-sub: 5.0ms (14.3% of total)

ival-sqrt: 4.0ms (11.4% of total)

ival-div: 3.0ms (8.6% of total)

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

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

preprocess163.0ms (1.8%)

Memory

18.0MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	295
1	260	285
2	625	285
3	1666	285
4	4397	285
5	6519	285
0	12	14
0	19	14
1	31	14
2	59	14
3	89	14
4	119	14
5	147	14
6	196	14
7	250	14
8	436	14
9	978	14
10	1339	14
11	1638	14
12	2655	14
13	2846	14
14	2868	14
15	2868	14
0	2868	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify56.0ms (0.6%)

Memory

-6.4MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	31	48
2	59	48
3	89	48
4	119	48
5	147	48
6	196	48
7	250	48
8	436	48
9	978	48
10	1339	48
11	1638	48
12	2655	48
13	2846	48
14	2868	48
15	2868	48
0	2868	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

localize44.0ms (0.5%)

Memory

1.6MiB live, 40.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19921875000000003	(-.f64 (.f64 z z) (.f64 t a))
accuracy	5.176983691502571	(.f64 (.f64 x y) z)
accuracy	8.493935412738946	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	22.233300665445338	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

38.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 6.0ms (57.8% of total)

ival-sqrt: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.6% of total)

ival-div: 1.0ms (9.6% of total)

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

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

series49.0ms (0.5%)

Memory

14.8MiB live, 94.0MiB 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
8.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	t	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	y	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	x	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify283.0ms (3%)

Memory

-16.0MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2495
1	1609	2432
2	6518	2338
0	8383	2236

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

rewrite478.0ms (5.1%)

Memory

-4.9MiB live, 120.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8482	37

Stop Event

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

Counts

5 → 380

Calls

Call 1

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

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

eval77.0ms (0.8%)

Memory: 4.3MiB live, 76.8MiB allocated
Compiler: Compiled 14 761 to 1 862 computations (87.4% saved)

prune40.0ms (0.4%)

Memory

-3.4MiB live, 44.3MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	428	13	441
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	428	14	442

Accuracy

93.4%

Counts

442 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 z (.f64 y x)))) (fma.f64 (neg.f64 a) t (*.f64 z z)))
✓	65.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	54.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
▶	33.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
	45.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	69.2%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	17.9%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
▶	70.4%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 y x))
▶	71.2%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
	61.8%	(.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
▶	67.6%	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
	63.2%	#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)))
	62.2%	#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)))
▶	14.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 574 to 422 computations (26.5% saved)

simplify93.0ms (1%)

Memory

11.7MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	275
0	58	272
1	106	271
2	202	271
3	484	271
4	967	271
5	1473	271
6	2794	271
7	3452	271
8	3796	271
9	3886	271
10	3909	271
11	3915	271
12	3915	271
13	3915	271
0	3915	271

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.2%)

Memory

-10.8MiB live, 145.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	3.053160799129479	(.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
accuracy	7.508479890004717	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
accuracy	22.233300665445338	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	0.0	(neg.f64 a)
accuracy	0.0703125	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	1.3074716114583314	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (*.f64 y x))
accuracy	22.233300665445338	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
accuracy	5.176983691502571	(.f64 (.f64 x y) z)
accuracy	8.493935412738946	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	22.233300665445338	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	40.28485178597025	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	54.50367913432186	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
accuracy	0.0703125	(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
accuracy	0.2891907664999622	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
accuracy	0.9084637928388708	(.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
accuracy	22.233300665445338	(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))

Samples

63.0ms

256×

valid

Compiler

Compiled 271 to 32 computations (88.2% saved)

Precisions

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

ival-mult: 25.0ms (62.8% of total)

ival-div: 5.0ms (12.6% of total)

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

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

ival-add: 1.0ms (2.5% 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)

series80.0ms (0.9%)

Memory

11.5MiB live, 128.9MiB allocated

Counts

20 → 169

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	t	@	inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (+ (* (neg a) t) (* z z)) (* (neg z) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (neg z) (* y x) (- (* z z) (* t a)) (neg a) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))
12.0ms	y	@	-inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (+ (* (neg a) t) (* z z)) (* (neg z) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (neg z) (* y x) (- (* z z) (* t a)) (neg a) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))
7.0ms	a	@	inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (+ (* (neg a) t) (* z z)) (* (neg z) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (neg z) (* y x) (- (* z z) (* t a)) (neg a) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))
6.0ms	t	@	-inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (+ (* (neg a) t) (* z z)) (* (neg z) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (neg z) (* y x) (- (* z z) (* t a)) (neg a) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))
5.0ms	z	@	0	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* y x)) (+ (* (neg a) t) (* z z)) (* (neg z) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (neg z) (* y x) (- (* z z) (* t a)) (neg a) (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))

simplify248.0ms (2.7%)

Memory

17.1MiB live, 211.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	981	7396
1	3278	7094
0	8314	6843

Stop Event

1×	iter limit
1×	node limit

Counts

169 → 167

Calls

Call 1

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

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

rewrite170.0ms (1.8%)

Memory

-16.7MiB live, 217.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	190
0	58	187
1	162	186
2	781	186
3	7063	186
0	8540	186

Stop Event

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

Counts

20 → 925

Calls

Call 1

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

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

eval143.0ms (1.5%)

Memory: 27.1MiB live, 257.9MiB allocated
Compiler: Compiled 43 974 to 4 379 computations (90% saved)

prune71.0ms (0.8%)

Memory

-13.8MiB live, 119.9MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 323	14	1 337
Fresh	5	3	8
Picked	3	2	5
Done	0	1	1
Total	1 331	20	1 351

Accuracy

96.4%

Counts

1 351 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.8%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
✓	65.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	54.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
	69.2%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	17.9%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	33.2%	(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 t) a)))) (.f64 x y))
▶	47.8%	(.f64 (/.f64 z (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (.f64 z z)))) (.f64 y x))
✓	71.2%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x)
	32.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) y) x)
	59.9%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z))) y) x)
▶	73.8%	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x)
▶	65.1%	(.f64 (neg.f64 z) (.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))) x))
	33.0%	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))))
	64.5%	(.f64 (neg.f64 z) (.f64 (.f64 y x) #s(approx (/ -1 (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z))))
	62.1%	(.f64 (neg.f64 z) #s(approx ( (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (*.f64 (neg.f64 x) (/.f64 y z))))
	31.7%	(.f64 (neg.f64 x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a))))))
	64.7%	(.f64 #s(approx ( (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (*.f64 y z))) x)
	6.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
▶	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) x) y))
✓	14.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 823 to 639 computations (22.4% saved)

simplify97.0ms (1%)

Memory

-1.4MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	294
0	74	287
1	138	287
2	274	285
3	605	277
4	1235	277
5	3401	277
6	5521	277
7	6859	277
8	7627	277
0	8008	277

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.4%)

Memory

-8.0MiB live, 148.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z))))
accuracy	2.529339646505977	(.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 t (neg.f64 a) (.f64 z z)))) x)
accuracy	7.508479890004717	(.f64 (neg.f64 z) (.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))) x))
accuracy	22.233300665445338	(sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))
accuracy	7.475189627466675	(.f64 (.f64 y z) x)
accuracy	8.493935412738946	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
accuracy	22.233300665445338	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))
accuracy	40.28485178597025	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))
accuracy	0.0703125	(/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z))))
accuracy	1.3074716114583314	(.f64 (/.f64 z (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (.f64 z z)))) (.f64 y x))
accuracy	18.956062738148287	#s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z))
accuracy	22.233300665445338	(sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))
accuracy	0.0	(neg.f64 (*.f64 y y))
accuracy	8.00364175337757	(.f64 (neg.f64 (.f64 y y)) x)
accuracy	12.667030043272314	(/.f64 (.f64 (neg.f64 (.f64 y y)) x) y)
accuracy	54.50367913432186	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) x) y))
accuracy	0.2891907664999622	(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x)
accuracy	0.9084637928388708	(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) y)
accuracy	20.090481721554973	#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))

Samples

99.0ms

256×

valid

Compiler

Compiled 255 to 41 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 26.0ms (46.2% of total)

ival-neg: 14.0ms (24.9% of total)

ival-div: 7.0ms (12.4% of total)

ival-sqrt: 5.0ms (8.9% of total)

ival-add: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.6%)

Memory

6.6MiB live, 88.3MiB allocated

Counts

21 → 172

Calls

Call 1

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

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

Calls

15 calls:

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

simplify365.0ms (3.9%)

Memory

3.5MiB live, 229.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	7542
1	3294	7232
0	8212	6992

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 170

Calls

Call 1

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

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

rewrite219.0ms (2.4%)

Memory

6.3MiB live, 292.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	247
0	74	240
1	231	238
2	1018	230
0	8623	230

Stop Event

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

Counts

21 → 768

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 x #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 (.f64 x #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64))) #s(literal 1 binary64)) y)
(.f64 (.f64 (.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 (.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) x) #s(literal 1 binary64)) y)
(.f64 (.f64 x #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))) y)
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) x) y)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) x)))
(.f64 (.f64 x y) #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)))
(.f64 x (.f64 y #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))))
(.f64 (.f64 y #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))) x)
(.f64 y (.f64 x #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))))
(.f64 y (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) x))
(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) (*.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)))))
(neg.f64 (.f64 (.f64 x #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))) (neg.f64 y)))
(neg.f64 (.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) x) (neg.f64 y)))
(neg.f64 (.f64 (neg.f64 y) (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) x)))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))))
(.f64 y #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)))
(.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 y #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))))
(neg.f64 (.f64 #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64)) (neg.f64 y)))
(neg.f64 (.f64 (neg.f64 y) #s(approx (/ z (sqrt (+ ( (neg a) t) (* z z)))) #s(literal 1 binary64))))
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (*.f64 x y) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 (.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y))
(.f64 (.f64 (/.f64 x y) (neg.f64 y)) y)
(.f64 (.f64 (/.f64 x y) y) (neg.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 y y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)) y)
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x y) y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (*.f64 x y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x y)) (neg.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) x)
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y)) (neg.f64 x))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) y) (*.f64 (neg.f64 y) x))
(.f64 (.f64 (/.f64 x y) (*.f64 y y)) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 y y))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) y))
(.f64 (/.f64 (.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (/.f64 y y) (.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (/.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 x y))
(.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (/.f64 (.f64 y y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 y))
(.f64 (/.f64 y #s(literal -1 binary64)) (.f64 y (/.f64 x y)))
(.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 y (/.f64 x y)))
(.f64 (/.f64 (.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 y) x) y) y)
(.f64 (.f64 x #s(literal -1 binary64)) (.f64 (.f64 y y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal -1 binary64)) y)
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x y) y))
(.f64 (neg.f64 x) (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) y)
(.f64 (/.f64 x y) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (/.f64 x y) (.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y (pow.f64 y #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) (neg.f64 y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x))
(neg.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) x))
(.f64 (/.f64 (neg.f64 y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 t a (*.f64 z z))))
(.f64 (/.f64 (neg.f64 y) (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 t a (*.f64 z z)))))
(.f64 (/.f64 (neg.f64 y) (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 t a) (fma.f64 t a (.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)
(.f64 (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)
(.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) (neg.f64 y))
(.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) #s(literal 1 binary64))
(.f64 (neg.f64 y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)))
(.f64 y (.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64))))
(.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64))) y)
(/.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))) (+.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))))))
(/.f64 (/.f64 (neg.f64 y) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (neg.f64 y))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) y)) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) y)) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) y)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) y))
(/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) y))
(/.f64 (.f64 y y) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y))
(/.f64 (.f64 y y) (.f64 y (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))))
(/.f64 y (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y))
(neg.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) #s(literal 0 binary64) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y)) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
#s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 t a (*.f64 z z)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 t a (*.f64 z z)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 t a (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 t a (*.f64 z z))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 t a (*.f64 z z))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 t a (*.f64 z z))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 t a) (fma.f64 t a (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(.f64 (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 t a) (fma.f64 t a (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 (.f64 t a) (fma.f64 t a (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 a) t (.f64 z z)) (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 t a (.f64 z z)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 t a (.f64 z z))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 t a) (fma.f64 t a (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 t a (.f64 z z)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 t a (.f64 z z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 t a) (fma.f64 t a (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 t a (*.f64 z z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 t a (.f64 z z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 t a (*.f64 z z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 t a (.f64 z z)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 t a) (fma.f64 t a (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 t a) (fma.f64 t a (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 t a (.f64 z z))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 t a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 t a (.f64 z z)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 t a) (fma.f64 t a (.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 (pow.f64 (*.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (neg.f64 a) t (.f64 z z))) #s(literal 1/2 binary64)))

eval205.0ms (2.2%)

Memory: 16.4MiB live, 205.8MiB allocated
Compiler: Compiled 27 580 to 3 235 computations (88.3% saved)

prune38.0ms (0.4%)

Memory

-5.0MiB live, 86.5MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	927	9	936
Fresh	1	11	12
Picked	3	2	5
Done	2	1	3
Total	933	23	956

Accuracy

96.4%

Counts

956 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.8%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
✓	65.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	54.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
▶	69.2%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
	17.9%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
▶	42.3%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) x)
	33.2%	(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 t) a)))) (.f64 x y))
	32.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) y) x)
	59.9%	(.f64 (.f64 (/.f64 z #s(approx (sqrt (+ (* (neg a) t) (* z z))) (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z))) y) x)
	65.1%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z)
	40.1%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))))
	46.1%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))))
	33.0%	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))))
	64.5%	(.f64 (neg.f64 z) (.f64 (.f64 y x) #s(approx (/ -1 (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z))))
	62.1%	(.f64 (neg.f64 z) (.f64 #s(approx (/ (neg y) (sqrt (+ (* t (neg a)) (* z z)))) (/.f64 y (neg.f64 z))) x))
	31.7%	(.f64 (neg.f64 x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a))))))
	64.7%	(.f64 #s(approx ( (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (*.f64 y z))) x)
	6.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
✓	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) x) y))
▶	15.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
	15.4%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x y) y)))
▶	16.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 x y) (neg.f64 y)) y))
▶	73.8%	#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y))

Compiler

Compiled 956 to 736 computations (23% saved)

simplify112.0ms (1.2%)

Memory

0.8MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	247
0	62	244
1	117	244
2	219	244
3	384	224
4	610	224
5	1421	224
6	3351	224
7	5101	224
0	8478	224

Stop Event

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

Calls

Call 1

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

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

localize391.0ms (4.2%)

Memory

-2.3MiB live, 129.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.7283656031863672	(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
accuracy	5.176983691502571	(.f64 (.f64 x y) z)
accuracy	8.493935412738946	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
accuracy	19.72390268683129	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))
accuracy	0.2891907664999622	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) x)
accuracy	15.730822477759736	(/.f64 (.f64 y z) (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (*.f64 z z))))
accuracy	18.956062738148287	#s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z))
accuracy	22.233300665445338	(sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))
accuracy	0.0	(*.f64 x y)
accuracy	0.45562679799982575	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
accuracy	0.6296398548894697	(/.f64 #s(literal -1 binary64) (*.f64 x y))
accuracy	54.50367913432186	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
accuracy	0.0	(.f64 (.f64 (/.f64 x y) (neg.f64 y)) y)
accuracy	0.0	(neg.f64 y)
accuracy	15.13132309359009	(*.f64 (/.f64 x y) (neg.f64 y))
accuracy	54.50367913432186	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 x y) (neg.f64 y)) y))
accuracy	0.0	(*.f64 x y)
accuracy	16.77186173397058	#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y))

Samples

372.0ms

256×

valid

Compiler

Compiled 195 to 37 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-mult: 333.0ms (93.8% of total)

ival-div: 10.0ms (2.8% of total)

ival-neg: 4.0ms (1.1% of total)

ival-sqrt: 3.0ms (0.8% of total)

ival-add: 2.0ms (0.6% of total)

ival-sub: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

3.1MiB live, 41.0MiB allocated

Counts

19 → 101

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* x y) (* (/ x y) (neg y)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x y) (neg y)) y) (/ x y) (/ 1 (/ -1 (* x y))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ -1 (* x y)) (* (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) x) (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) (* y z) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (sqrt (- (* z z) (* t a))) (neg y) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z))
4.0ms	y	@	-inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* x y) (* (/ x y) (neg y)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x y) (neg y)) y) (/ x y) (/ 1 (/ -1 (* x y))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ -1 (* x y)) (* (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) x) (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) (* y z) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (sqrt (- (* z z) (* t a))) (neg y) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z))
3.0ms	y	@	inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* x y) (* (/ x y) (neg y)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x y) (neg y)) y) (/ x y) (/ 1 (/ -1 (* x y))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ -1 (* x y)) (* (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) x) (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) (* y z) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (sqrt (- (* z z) (* t a))) (neg y) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z))
3.0ms	x	@	0	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* x y) (* (/ x y) (neg y)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x y) (neg y)) y) (/ x y) (/ 1 (/ -1 (* x y))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ -1 (* x y)) (* (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) x) (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) (* y z) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (sqrt (- (* z z) (* t a))) (neg y) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z))
3.0ms	x	@	inf	((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* x y) (* (/ x y) (neg y)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x y) (neg y)) y) (/ x y) (/ 1 (/ -1 (* x y))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ -1 (* x y)) (* (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) x) (/ (* y z) (sqrt (+ (* (neg a) t) (* z z)))) (* y z) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (sqrt (- (* z z) (* t a))) (neg y) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z))

simplify269.0ms (2.9%)

Memory

2.8MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	3857
1	2147	3732
2	6883	3718
0	8009	3565

Stop Event

1×	iter limit
1×	node limit

Counts

101 → 99

Calls

Call 1

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

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

rewrite146.0ms (1.6%)

Memory

-22.0MiB live, 207.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	215
0	62	212
1	212	212
2	1154	192
0	8612	192

Stop Event

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

Counts

19 → 511

Calls

Call 1

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

Outputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))
(.f64 (neg.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(.f64 (.f64 y y) (/.f64 x y))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 x y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 x y))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x y))
(*.f64 (/.f64 y y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 y) y) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (neg.f64 x) y) y)
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) y))
(.f64 (.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (neg.f64 y))
(.f64 (.f64 x y) (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (neg.f64 y) y))
(*.f64 x #s(literal -1 binary64))
(*.f64 y (/.f64 (neg.f64 x) y))
(pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (neg.f64 y) x)))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 y x)))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x) (.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(/.f64 (.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 x (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y)) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 (neg.f64 y) x) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 y x) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x y) y) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) (*.f64 y y))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 y x) y))
(/.f64 (*.f64 (neg.f64 x) y) y)
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) y))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x #s(literal -1 binary64))
(/.f64 y (/.f64 (neg.f64 y) x))
(neg.f64 x)
(fma.f64 #s(literal 0 binary64) (/.f64 x y) (neg.f64 x))
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (neg.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) y) x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (neg.f64 x))
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 x) y))
(.f64 (.f64 y (*.f64 (/.f64 x y) #s(literal -1 binary64))) y)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64))) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 x y))
(.f64 (.f64 (*.f64 x y) y) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 y) y) (/.f64 x y))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) y)
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) x)
(.f64 (/.f64 x y) (.f64 (neg.f64 y) y))
(.f64 (.f64 x y) (/.f64 (neg.f64 y) y))
(.f64 (.f64 x y) #s(literal -1 binary64))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (.f64 x y) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) x))
(/.f64 (.f64 y (.f64 (neg.f64 y) y)) (*.f64 (/.f64 y x) y))
(/.f64 (.f64 y (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 y x) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x y) (.f64 (neg.f64 y) y)) (.f64 y y))
(/.f64 (.f64 (.f64 x y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (*.f64 y (/.f64 y x)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 x y)) (.f64 y y))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 y x)))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 (neg.f64 x) y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 x y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(/.f64 (.f64 (.f64 x y) y) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (.f64 (.f64 x y) y) y))
(neg.f64 (.f64 (.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y)))
(neg.f64 (.f64 (/.f64 x y) (.f64 y y)))
(neg.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 x y))
(fma.f64 #s(literal 0 binary64) x (*.f64 (neg.f64 x) y))
(fma.f64 x #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x y))) #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal 0 binary64)) (.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (.f64 (/.f64 a z) #s(literal -1/2 binary64))) t) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z (+.f64 z (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 a z) t) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z (+.f64 z (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)) (.f64 z z))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))))
(/.f64 (fma.f64 z z (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)))) (+.f64 z (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #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 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z (+.f64 z (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #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 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z (+.f64 z (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z (+.f64 z (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z)) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 z (+.f64 z (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal -1 binary64))) a 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 a z)) t))
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) z)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) z)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t (pow.f64 a #s(literal -1 binary64))) z)
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z)
(fma.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) t) a) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) z)
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 t a)) (/.f64 #s(literal -1 binary64) z) z)
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) t) a) (pow.f64 z #s(literal -1 binary64)) z)
(fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 a #s(literal -1 binary64))) z)
(fma.f64 (.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (neg.f64 (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a z) t) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) z)
(fma.f64 #s(literal 1 binary64) z (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) z)
(fma.f64 a (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) t) z)
(fma.f64 z #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
(-.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 (.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 z (.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (neg.f64 (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) z)
(+.f64 z (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))

eval170.0ms (1.8%)

Memory: 7.3MiB live, 201.7MiB allocated
Compiler: Compiled 18 538 to 2 242 computations (87.9% saved)

prune56.0ms (0.6%)

Memory

4.3MiB live, 93.7MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	580	14	594
Fresh	3	12	15
Picked	2	3	5
Done	0	3	3
Total	585	32	617

Accuracy

96.4%

Counts

617 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
✓	30.8%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))
✓	65.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	54.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (fma.f64 (/.f64 (neg.f64 a) z) (/.f64 t z) #s(literal 1 binary64)) (.f64 z z)))))
	17.9%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	21.7%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))
	65.9%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) z) #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))
✓	42.3%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) x)
	33.2%	(.f64 (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (.f64 (neg.f64 t) a)))) (.f64 x y))
	80.3%	(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y))
	40.1%	(.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (.f64 z z)))) (.f64 y z))
	59.7%	(.f64 (.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (.f64 y z)) x)
	32.5%	(.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) y) x)
	65.1%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z)
	46.1%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))))
	33.0%	(.f64 (neg.f64 z) (.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))))
	64.5%	(.f64 (neg.f64 z) (.f64 (.f64 y x) #s(approx (/ -1 (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z))))
	62.1%	(.f64 (neg.f64 z) (.f64 #s(approx (/ (neg y) (sqrt (+ (* t (neg a)) (* z z)))) (/.f64 y (neg.f64 z))) x))
	31.7%	(.f64 (neg.f64 x) (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 t) a))))))
	64.7%	(.f64 #s(approx (/ ( y z) (sqrt (+ (* (neg a) t) (* z z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (*.f64 y z))) x)
	56.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z)) (.f64 (*.f64 y z) x))) #s(literal -1 binary64)))
	6.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
	9.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 x y)) (.f64 y y)))
✓	15.3%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) x) y))
	18.6%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))
	9.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (.f64 (.f64 x y) y) (.f64 (neg.f64 y) y)) y))
	15.4%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x y) y)))
✓	16.7%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 x y) (neg.f64 y)) y))
	17.1%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 y)) y))
	73.8%	#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
	49.9%	#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (.f64 (.f64 y y) (/.f64 x y)))
✓	73.8%	#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y))

Compiler

Compiled 1 890 to 803 computations (57.5% saved)

regimes180.0ms (1.9%)

Memory

27.3MiB live, 173.6MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

57.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
25.0ms	y
21.0ms	t
17.0ms	a
14.0ms	z

Results

Accuracy	Segments	Branch
80.3%	1	`x`
80.3%	1	`y`
94.2%	2	`z`
80.3%	1	`t`
80.3%	1	`a`
94.6%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
80.3%	1	`(*.f64 x y)`
87.6%	3	`(*.f64 t a)`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes33.0ms (0.4%)

Memory

-15.6MiB live, 23.1MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

21.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
10.0ms	z

Results

Accuracy	Segments	Branch
89.3%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
92.0%	2	`z`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes29.0ms (0.3%)

Memory

-7.4MiB live, 28.9MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	z
8.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
80.3%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
86.8%	2	`z`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes18.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

29 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	z
8.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
79.3%	2	`(*.f64 t a)`
84.6%	2	`z`

Compiler

Compiled 4 to 11 computations (-175% saved)

regimes69.0ms (0.7%)

Memory

-12.8MiB live, 109.6MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) 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 (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x)
#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (.f64 (.f64 y y) (/.f64 x y)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 x y) (neg.f64 y)) y))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) x) y))
(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
(.f64 (neg.f64 z) #s(approx ( (* y x) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (*.f64 (neg.f64 x) (/.f64 y z))))
(.f64 (neg.f64 z) (.f64 #s(approx (/ (neg y) (sqrt (+ (* t (neg a)) (* z z)))) (/.f64 y (neg.f64 z))) x))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x y) y)))
#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(.f64 (neg.f64 z) (.f64 (.f64 y x) #s(approx (/ -1 (sqrt (+ ( (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z))))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (.f64 (.f64 x y) y) (.f64 (neg.f64 y) y)) y))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 x y)) (.f64 y y)))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 y)) y))
(.f64 (.f64 x z) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))))
(.f64 (.f64 y z) (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))))
(.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (.f64 z z)))) (.f64 y z))
(.f64 (/.f64 z (sqrt.f64 #s(approx (+ ( (neg a) t) (* z z)) (.f64 z z)))) (.f64 y x))
(.f64 (/.f64 (.f64 y z) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) x)
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (+.f64 #s(literal 0 binary64) (.f64 x y))))

Outputs

#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))

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

Calls

8 calls:

13.0ms	z
12.0ms	x
9.0ms	(*.f64 x y)
7.0ms	y
7.0ms	a

Results

Accuracy	Segments	Branch
73.8%	1	`(*.f64 t a)`
73.8%	1	`x`
73.8%	1	`t`
73.8%	1	`a`
73.8%	1	`(*.f64 x y)`
73.8%	1	`y`
73.8%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
75.5%	2	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes5.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
75.4%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes48.0ms (0.5%)

Memory

-45.4MiB live, 53.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	(*.f64 x y)
11.0ms	y
3.0ms	a
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
73.8%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
73.8%	1	`y`
73.8%	1	`t`
73.8%	1	`(*.f64 t a)`
73.8%	1	`x`
73.8%	1	`a`
73.8%	1	`(*.f64 x y)`
75.4%	2	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes13.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -37.9b remaining (-226.1%)

Threshold costs -37.9b (-226.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
73.8%	1	`x`
73.8%	1	`t`
73.8%	1	`a`
73.8%	1	`(*.f64 x y)`
73.8%	1	`z`

Compiler

Compiled 7 to 26 computations (-271.4% saved)

bsearch7.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.8144819076816122e+129	4.1472196791657425e+129

Samples

3.0ms	48×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 128 to 113 computations (11.7% saved)

Precisions

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

ival-mult: 1.0ms (49.8% of total)

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

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

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

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

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

bsearch15.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6928484194892131e+28	1.6660239170754754e+30

Samples

8.0ms	112×	0	valid
0.0ms	7×	0	invalid

Compiler

Compiled 276 to 237 computations (14.1% saved)

Precisions

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

ival-mult: 3.0ms (61% of total)

ival-sub: 1.0ms (20.3% of total)

ival-div: 1.0ms (20.3% of total)

ival-sqrt: 1.0ms (20.3% of total)

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

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

bsearch17.0ms (0.2%)

Memory

-9.4MiB live, 29.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.756784666565284e-117	3.474189294835634e-116

Samples

7.0ms	96×	0	valid
3.0ms	36×	0	invalid

Compiler

Compiled 275 to 230 computations (16.4% saved)

Precisions

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

ival-mult: 3.0ms (57.4% of total)

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

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

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

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

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.756784666565284e-117	3.474189294835634e-116

Compiler

Compiled 251 to 218 computations (13.1% saved)

bsearch30.0ms (0.3%)

Memory

-6.7MiB live, 67.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.389872298792201e-231	5.853079695639146e-223

Samples

13.0ms	144×	0	valid
4.0ms	63×	0	invalid

Compiler

Compiled 458 to 371 computations (19% saved)

Precisions

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

ival-mult: 8.0ms (70.6% of total)

ival-sub: 1.0ms (8.8% of total)

ival-div: 1.0ms (8.8% of total)

ival-sqrt: 1.0ms (8.8% of total)

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

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

bsearch39.0ms (0.4%)

Memory

-17.6MiB live, 29.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.853079695639146e-223	3.639140697396804e-213

Samples

11.0ms	160×	0	valid
5.0ms	79×	0	invalid

Compiler

Compiled 417 to 360 computations (13.7% saved)

Precisions

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

ival-mult: 6.0ms (63.9% of total)

ival-sqrt: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.6% of total)

ival-div: 1.0ms (10.6% of total)

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

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

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	5.853079695639146e-223	3.639140697396804e-213

Compiler

Compiled 377 to 330 computations (12.5% saved)

simplify88.0ms (0.9%)

Memory

16.1MiB live, 53.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	318
1	118	318
2	166	318
3	216	318
4	263	318
5	299	318
6	368	318
7	473	318
8	704	318
9	1515	318
10	2165	318
11	2539	318
12	4202	318
13	5298	318
14	5678	318
15	6286	318
16	7789	318

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 3000000000000000302480504101887593093896787388650220353495093069701123299063756169161048638248763581703286644188658439930477805568 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y)))
(if (<=.f64 z #s(literal 47999999999999996239756132352 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y)))
(if (<=.f64 z #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (.f64 (neg.f64 t) a)))) y) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y)))
(if (<=.f64 z #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (.f64 (neg.f64 t) a)))) y) x) #s(approx ( (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y)))
(if (<=.f64 z #s(literal 2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y)) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(if (<=.f64 z #s(literal 8346337264208611/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(if (<=.f64 z #s(literal 8346337264208611/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y)))
#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y))

Outputs
(if (<=.f64 z #s(literal 3000000000000000302480504101887593093896787388650220353495093069701123299063756169161048638248763581703286644188658439930477805568 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z)))) y) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y)))
(if (<=.f64 z #s(literal 47999999999999996239756132352 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (.f64 z z))))) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y)))
(if (<=.f64 z #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (.f64 (neg.f64 t) a)))) y) x) (.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (.f64 #s(literal -1/2 binary64) t) z))) (.f64 x y)))
(if (<=.f64 z #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (.f64 (neg.f64 t) a)))) y) x) #s(approx ( (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y)))
(if (<=.f64 z #s(literal 2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y)) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(if (<=.f64 z #s(literal 2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (.f64 (/.f64 (.f64 x x) x) (neg.f64 y))) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(if (<=.f64 z #s(literal 8346337264208611/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(if (<=.f64 z #s(literal 8346337264208611/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y)))
#s(approx (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (*.f64 x y))

soundness1.2s (12.4%)

Memory

22.5MiB live, 897.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	247
0	74	240
1	231	238
2	1018	230
0	8623	230
0	495	2495
1	1609	2432
2	6518	2338
0	8383	2236
0	36	190
0	58	187
1	162	186
2	781	186
3	7063	186
0	8540	186
0	12	37
0	19	37
1	56	37
2	320	37
3	2703	37
0	8482	37
0	987	7542
1	3294	7232
0	8212	6992
0	981	7396
1	3278	7094
0	8314	6843
0	44	215
0	62	212
1	212	212
2	1154	192
0	8612	192

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 845 to 477 computations (43.6% saved)

preprocess569.0ms (6.1%)

Memory: -37.4MiB live, 207.1MiB allocated
Remove: (sort t a)
Compiler: Compiled 1 476 to 694 computations (53% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze254.0ms (2.7%)

sample2.0s (21.6%)

explain303.0ms (3.3%)

preprocess163.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify56.0ms (0.6%)

localize44.0ms (0.5%)

series49.0ms (0.5%)

simplify283.0ms (3%)

rewrite478.0ms (5.1%)

eval77.0ms (0.8%)

prune40.0ms (0.4%)

simplify93.0ms (1%)

localize108.0ms (1.2%)

series80.0ms (0.9%)

simplify248.0ms (2.7%)

rewrite170.0ms (1.8%)

eval143.0ms (1.5%)

prune71.0ms (0.8%)

simplify97.0ms (1%)

localize133.0ms (1.4%)

series52.0ms (0.6%)

simplify365.0ms (3.9%)

rewrite219.0ms (2.4%)

eval205.0ms (2.2%)

prune38.0ms (0.4%)

simplify112.0ms (1.2%)

localize391.0ms (4.2%)

series55.0ms (0.6%)

simplify269.0ms (2.9%)

rewrite146.0ms (1.6%)

eval170.0ms (1.8%)

prune56.0ms (0.6%)

regimes180.0ms (1.9%)

regimes33.0ms (0.4%)

regimes29.0ms (0.3%)

regimes18.0ms (0.2%)

regimes69.0ms (0.7%)

regimes5.0ms (0%)

regimes48.0ms (0.5%)

regimes13.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch30.0ms (0.3%)

bsearch39.0ms (0.4%)

bsearch1.0ms (0%)

simplify88.0ms (0.9%)

soundness1.2s (12.4%)

preprocess569.0ms (6.1%)

end0.0ms (0%)

Profiling