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

analyze403.0ms (3%)

Memory

53.1MiB live, 511.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.2s (9.4%)

Memory

-16.4MiB live, 2 611.9MiB allocated

Samples

671.0ms	8 256×	0	valid
149.0ms	1 993×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-mult: 271.0ms (57.8% of total)

ival-sqrt: 80.0ms (17.1% of total)

ival-div: 62.0ms (13.2% of total)

ival-sub: 46.0ms (9.8% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

preprocess170.0ms (1.3%)

Memory

23.1MiB live, 183.5MiB allocated

Algorithm

2×	egg-herbie

Rules

1 536×	`unsub-neg`
1 196×	`div-sub`
1 182×	`times-frac`
1 014×	`associate-/l*`
866×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	299
1	260	299
2	625	299
3	1669	299
4	4342	299
5	6479	299
0	12	14
1	24	14
2	52	14
3	82	14
4	112	14
5	140	14
6	189	14
7	242	14
8	422	14
9	966	14
10	1295	14
11	2164	14
12	3180	14
13	3370	14
14	3392	14
15	3392	14
0	3392	14

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs

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

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

Call 2

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

Outputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(/ (* (* (neg x) y) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y (neg z))) (sqrt (- (* z z) (* t a))))
(/ (* (* x (neg y)) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y (neg z))) (sqrt (- (* z z) (* t a))))
(/ (* (* x y) (neg z)) (sqrt (- (* (neg z) (neg z)) (* t a))))
(/ (* x (* y (neg z))) (sqrt (- (* z z) (* t a))))
(/ (* (* x y) z) (sqrt (- (* z z) (* (neg t) a))))
(/ (* x (* y z)) (sqrt (+ (* z z) (* t a))))
(/ (* (* x y) z) (sqrt (- (* z z) (* t (neg a)))))
(/ (* x (* y z)) (sqrt (+ (* z z) (* t a))))
(neg (/ (* (* (neg x) y) z) (sqrt (- (* z z) (* t a)))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(neg (/ (* (* x (neg y)) z) (sqrt (- (* z z) (* t a)))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(neg (/ (* (* x y) (neg z)) (sqrt (- (* (neg z) (neg z)) (* t a)))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(neg (/ (* (* x y) z) (sqrt (- (* z z) (* (neg t) a)))))
(/ (* x (* y (neg z))) (sqrt (+ (* z z) (* t a))))
(neg (/ (* (* x y) z) (sqrt (- (* z z) (* t (neg a))))))
(/ (* x (* y (neg z))) (sqrt (+ (* z z) (* t a))))
(/ (* (* y x) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(/ (* (* z y) x) (sqrt (- (* x x) (* t a))))
(/ (* x (* y z)) (sqrt (- (* x x) (* t a))))
(/ (* (* t y) z) (sqrt (- (* z z) (* x a))))
(/ (* y (* z t)) (sqrt (- (* z z) (* x a))))
(/ (* (* a y) z) (sqrt (- (* z z) (* t x))))
(/ (* y (* z a)) (sqrt (- (* z z) (* x t))))
(/ (* (* x z) y) (sqrt (- (* y y) (* t a))))
(/ (* x (* y z)) (sqrt (- (* y y) (* t a))))
(/ (* (* x t) z) (sqrt (- (* z z) (* y a))))
(/ (* x (* z t)) (sqrt (- (* z z) (* y a))))
(/ (* (* x a) z) (sqrt (- (* z z) (* t y))))
(/ (* x (* z a)) (sqrt (- (* z z) (* y t))))
(/ (* (* x y) t) (sqrt (- (* t t) (* z a))))
(/ (* (* x y) a) (sqrt (- (* a a) (* t z))))
(/ (* x (* y a)) (sqrt (- (* a a) (* z t))))
(/ (* (* x y) z) (sqrt (- (* z z) (* a t))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

(sort t a)

explain125.0ms (0.9%)

Memory

5.8MiB live, 241.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	1	(3.385677507931543e-124 6.440335346492827e+84 2.6648462992685694e-244 -7.101071722890251e-215 2.0865401684322482e-101)	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
31	-	1	(4.698874210110442e-128 6.754407688407996e-33 1.0159428338668913e-162 -8.962317908101978e-61 1.848093428032467e-150)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
22	-	0	-	`(.f64 (.f64 x y) z)`
3	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 t a)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	oflow-rescue	100	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	100
↳	`(*.f64 t a)`	overflow	25
↳	`(*.f64 z z)`	overflow	83
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	28	0
↳	`(*.f64 x y)`	overflow	34
↳	`(.f64 (.f64 x y) z)`	overflow	53
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	17	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	5	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	4	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	4
↳	`(*.f64 t a)`	underflow	22
↳	`(*.f64 z z)`	underflow	41
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	3	0
↳	`(*.f64 z z)`	overflow	83
↳	`(*.f64 t a)`	overflow	25
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	2	0
↳	`(*.f64 x y)`	underflow	33
↳	`(.f64 (.f64 x y) z)`	underflow	26

Confusion

	Predicted +	Predicted -
+	94	2
-	27	133

Precision

0.7768595041322314

Recall

0.9791666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	2
-	27	0	133

Precision?

0.7768595041322314

Recall?

0.9791666666666666

Freqs

test

number	freq
0	135
1	83
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 138 to 52 computations (62.3% saved)

Precisions

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

ival-mult: 12.0ms (52.9% of total)

ival-div: 4.0ms (17.6% of total)

ival-sqrt: 4.0ms (17.6% of total)

ival-sub: 2.0ms (8.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify81.0ms (0.6%)

Memory

-25.1MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 (.f64 x y) z)
✓	cost-diff	0	(-.f64 (.f64 z z) (.f64 t a))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Rules

816×	`accelerator-lowering-fma.f32`
816×	`accelerator-lowering-fma.f64`
760×	`-lowering-.f32`
760×	`-lowering-.f64`
652×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	24	48
2	52	48
3	82	48
4	112	48
5	140	48
6	189	48
7	242	48
8	422	48
9	966	48
10	1295	48
11	2164	48
12	3180	48
13	3370	48
14	3392	48
15	3392	48
0	3392	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize31.0ms (0.2%)

Memory

1.4MiB live, 40.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	92.0%	(.f64 (.f64 x y) z)
✓	accuracy	88.6%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
✓	accuracy	61.9%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

21.0ms

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 (57.5% of total)

ival-sqrt: 2.0ms (19.2% 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)

series59.0ms (0.4%)

Memory

-7.6MiB live, 45.7MiB allocated

Counts

4 → 168

Calls

Call 1

Inputs
#<alt (/ (* (* x y) z) (sqrt (- (* z z) (* t a))))>
#<alt (sqrt (- (* z z) (* t a)))>
#<alt (- (* z z) (* t a))>
#<alt (* (* x y) z)>

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

Calls

42 calls:

Time	Variable		Point	Expression
25.0ms	t	@	-inf	(sqrt (- (* z z) (* t a)))
3.0ms	a	@	0	(sqrt (- (* z z) (* t a)))
2.0ms	x	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	t	@	inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	z	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

rewrite985.0ms (7.4%)

Memory

39.0MiB live, 602.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 222×	`-lowering-.f32`
4 222×	`-lowering-.f64`
3 334×	`accelerator-lowering-fma.f32`
3 334×	`accelerator-lowering-fma.f64`
2 738×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	49	34
2	313	34
3	2693	34
0	8407	34

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 378

Calls

Call 1

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

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

simplify430.0ms (3.2%)

Memory

-62.5MiB live, 746.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 704×	`-lowering-.f32`
8 704×	`-lowering-.f64`
7 510×	`accelerator-lowering-fma.f32`
7 510×	`accelerator-lowering-fma.f64`
1 846×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	3591
1	1609	3519
2	6478	3501
0	8266	3389

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

Outputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 a t))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(* 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 z (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
(* 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 z (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))))) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 a t)) x) (.f64 (.f64 z z) (fma.f64 y (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 t (.f64 t t))))) (/.f64 y (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 z z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(* 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 z (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 a t))) (fma.f64 (.f64 y (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 t (.f64 t t)))))) (-.f64 #s(literal 0 binary64) (.f64 a t))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 y (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 t (.f64 t t))))) (/.f64 y (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (/.f64 (.f64 x y) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 a a) (.f64 (.f64 t t) #s(literal -3/4 binary64)))) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (.f64 x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (fma.f64 y (/.f64 (.f64 (.f64 a a) (.f64 (.f64 t t) #s(literal -3/4 binary64))) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 (.f64 (.f64 a t) #s(literal -1/2 binary64)) (.f64 (.f64 a a) (.f64 (.f64 t t) #s(literal -3/4 binary64))) (.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 t (.f64 t t))))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 t (.f64 x y))) (.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+ (* -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)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 a a) (.f64 (.f64 t t) #s(literal -3/4 binary64)))) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 t (.f64 x y))) (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 x y))))
(+ (* -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))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 y (/.f64 (.f64 (.f64 a a) (.f64 (.f64 t t) #s(literal -3/4 binary64))) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 (.f64 (.f64 a t) #s(literal -1/2 binary64)) (.f64 (.f64 a a) (.f64 (.f64 t t) #s(literal -3/4 binary64))) (.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 t (.f64 t t))))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 t (.f64 x y)))) (.f64 z z))) (.f64 x y))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(fma.f64 x y (.f64 t (fma.f64 t (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 (.f64 z z) (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y a))) (.f64 z z)))))
(+ (* 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))
(fma.f64 t (fma.f64 a (.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 1/2 binary64)) (.f64 t (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 y (.f64 (.f64 z z) (/.f64 (.f64 (.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (.f64 (.f64 x t) (.f64 y (.f64 z z))) (-.f64 (.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 a a) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -3/4 binary64) (.f64 z z)))) (/.f64 (.f64 a (.f64 a a)) (pow.f64 z #s(literal 8 binary64))))))))) (*.f64 x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 z (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 (/.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -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))))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 (/.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64)))) (.f64 (.f64 y (fma.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) t) (.f64 (.f64 z z) (.f64 z z))) (.f64 a (.f64 a a))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 z (.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 z (.f64 z z))) #s(literal -1/2 binary64))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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z
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z
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(* (sqrt (* a t)) (sqrt -1))
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(-.f64 #s(literal 0 binary64) (.f64 t (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 t #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 t (.f64 t t))))) (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a t)))))))
(* -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)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 t #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 t (.f64 t t))))) (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a t)))))) (-.f64 #s(literal 0 binary64) t))
z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 t z) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 t t))) (.f64 z (*.f64 z z)))) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 t (/.f64 t (.f64 z (.f64 z z)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 t (.f64 t t)))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -1 binary64))))))
(* 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 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (pow.f64 a #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -1 binary64)))))))
(* 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 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (pow.f64 a #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (/.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t 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 #s(literal 0 binary64) (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t 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 #s(literal 0 binary64) (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 a (.f64 a a))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a))))))))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(- (pow z 2) (* a t))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(- (pow z 2) (* a t))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(- (pow z 2) (* a t))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))
(* x (* y z))
(.f64 x (.f64 y z))

eval85.0ms (0.6%)

Memory: 26.9MiB live, 100.5MiB allocated
Compiler: Compiled 22 115 to 1 793 computations (91.9% saved)

prune123.0ms (0.9%)

Memory

-16.0MiB live, 143.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	530	16	546
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	16	547

Accuracy

96.6%

Counts

547 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	64.2%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	60.3%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
▶	68.9%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	61.3%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
▶	67.6%	(/.f64 (.f64 (.f64 x y) z) (.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
	39.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
	38.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 t a))) (.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))) (fma.f64 z z (*.f64 t a))))))
	40.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 z z)))
▶	66.3%	(/.f64 (.f64 (.f64 x y) z) z)
	66.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
	61.6%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) y)
▶	62.9%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) z)
	65.8%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (*.f64 x y))
	64.2%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y z))))
▶	72.5%	(*.f64 x y)

Compiler

Compiled 632 to 402 computations (36.4% saved)

simplify519.0ms (3.9%)

Memory

29.4MiB live, 352.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(/.f64 (.f64 (.f64 x y) z) (.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 t (*.f64 z z))
✓	cost-diff	0	(*.f64 a #s(literal -1/2 binary64))
✓	cost-diff	704	(.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 t a))
✓	cost-diff	0	(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
✓	cost-diff	0	(/.f64 (.f64 x y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a)))))
✓	cost-diff	-64	(.f64 (.f64 x y) z)
✓	cost-diff	-64	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	cost-diff	0	(/.f64 (*.f64 t #s(literal -1/2 binary64)) z)
✓	cost-diff	0	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	-64	(.f64 (.f64 x y) z)
✓	cost-diff	1088	(/.f64 (.f64 (.f64 x y) z) z)
✓	cost-diff	-64	(*.f64 x y)

Rules

7 012×	`accelerator-lowering-fma.f32`
7 012×	`accelerator-lowering-fma.f64`
3 922×	`-lowering-.f32`
3 922×	`-lowering-.f64`
2 220×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	187
1	81	183
2	215	183
3	670	183
4	2121	183
5	2578	183
6	3438	183
7	7750	183
0	8137	178

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x y)
x
y
(/ (* (* x y) z) z)
(* (* x y) z)
(* x y)
x
y
z
(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))
(* (* x y) z)
(* x y)
x
y
z
(+ (* a (/ (* t -1/2) z)) z)
a
(/ (* t -1/2) z)
(* t -1/2)
t
-1/2
(* (/ (* x y) (sqrt (+ (* z z) (- 0 (* t a))))) z)
(/ (* x y) (sqrt (+ (* z z) (- 0 (* t a)))))
(* x y)
x
y
(sqrt (+ (* z z) (- 0 (* t a))))
(+ (* z z) (- 0 (* t a)))
z
(- 0 (* t a))
0
(* t a)
t
a
(/ (* (* x y) z) (* z (+ (* (* a -1/2) (/ t (* z z))) 1)))
(* (* x y) z)
(* x y)
x
y
z
(* z (+ (* (* a -1/2) (/ t (* z z))) 1))
(+ (* (* a -1/2) (/ t (* z z))) 1)
(* a -1/2)
a
-1/2
(/ t (* z z))
t
(* z z)
1

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

localize97.0ms (0.7%)

Memory

-28.4MiB live, 204.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.4%	(.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
✓	accuracy	92.0%	(.f64 (.f64 x y) z)
✓	accuracy	88.6%	(/.f64 t (*.f64 z z))
✓	accuracy	87.6%	(/.f64 (.f64 (.f64 x y) z) (.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
✓	accuracy	98.8%	(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))
✓	accuracy	91.6%	(/.f64 (.f64 x y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a)))))
✓	accuracy	85.3%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) z)
✓	accuracy	61.9%	(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	95.2%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	92.0%	(.f64 (.f64 x y) z)
✓	accuracy	87.6%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	92.0%	(.f64 (.f64 x y) z)
✓	accuracy	87.2%	(/.f64 (.f64 (.f64 x y) z) z)
✓	accuracy	100.0%	(*.f64 x y)

Samples

55.0ms

256×

valid

Compiler

Compiled 197 to 31 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (42.1% of total)

ival-div: 9.0ms (27% of total)

ival-add: 7.0ms (21% of total)

ival-sqrt: 2.0ms (6% of total)

ival-sub: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series139.0ms (1%)

Memory

3.7MiB live, 84.3MiB allocated

Counts

16 → 576

Calls

Call 1

Inputs
#<alt (* x y)>
#<alt (/ (* (* x y) z) z)>
#<alt (* (* x y) z)>
#<alt (+ (* a (/ (* t -1/2) z)) z)>
#<alt (/ (* t -1/2) z)>
#<alt (/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))>
#<alt (/ (* x y) (sqrt (+ (* z z) (- 0 (* t a)))))>
#<alt (sqrt (+ (* z z) (- 0 (* t a))))>
#<alt (+ (* z z) (- 0 (* t a)))>
#<alt (- 0 (* t a))>
#<alt (* z (+ (* (* a -1/2) (/ t (* z z))) 1))>
#<alt (* a -1/2)>
#<alt (/ t (* z z))>
#<alt (/ (* (* x y) z) (* z (+ (* (* a -1/2) (/ t (* z z))) 1)))>
#<alt (* t -1/2)>
#<alt (* (/ (* x y) (sqrt (+ (* z z) (- 0 (* t a))))) z)>

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

Calls

144 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/ (* x y) (sqrt (+ (* z z) (- 0 (* t a)))))
2.0ms	a	@	-inf	(* z (+ (* (* a -1/2) (/ t (* z z))) 1))
1.0ms	x	@	0	(/ (* (* x y) z) (* z (+ (* (* a -1/2) (/ t (* z z))) 1)))
1.0ms	x	@	0	(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))
1.0ms	y	@	0	(/ (* (* x y) z) (* z (+ (* (* a -1/2) (/ t (* z z))) 1)))

rewrite328.0ms (2.5%)

Memory

13.1MiB live, 566.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 976×	`accelerator-lowering-fma.f32`
4 976×	`accelerator-lowering-fma.f64`
4 148×	`-lowering-.f32`
4 148×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	124
1	170	120
2	1352	119
0	8831	111

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 944

Calls

Call 1

Inputs
(* x y)
(/ (* (* x y) z) z)
(* (* x y) z)
(+ (* a (/ (* t -1/2) z)) z)
(/ (* t -1/2) z)
(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))
(/ (* x y) (sqrt (+ (* z z) (- 0 (* t a)))))
(sqrt (+ (* z z) (- 0 (* t a))))
(+ (* z z) (- 0 (* t a)))
(- 0 (* t a))
(* z (+ (* (* a -1/2) (/ t (* z z))) 1))
(* a -1/2)
(/ t (* z z))
(/ (* (* x y) z) (* z (+ (* (* a -1/2) (/ t (* z z))) 1)))
(* t -1/2)
(* (/ (* x y) (sqrt (+ (* z z) (- 0 (* t a))))) z)

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

simplify704.0ms (5.3%)

Memory

34.9MiB live, 905.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 936×	`-lowering-.f32`
6 936×	`-lowering-.f64`
5 842×	`accelerator-lowering-fma.f32`
5 842×	`accelerator-lowering-fma.f64`
3 914×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	816	10005
1	2736	9848
2	7659	9838
0	8059	9491

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

Outputs
(* x y)
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(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 y (.f64 z (.f64 z z))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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))))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64)))) (.f64 x (.f64 y (fma.f64 (/.f64 (.f64 (.f64 t (pow.f64 z #s(literal 4 binary64))) #s(literal -1/4 binary64)) (.f64 a (.f64 a a))) z (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 a #s(literal 4 binary64))))))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 y (.f64 z (.f64 z z))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 x y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 z (.f64 z z))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 x y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 z (.f64 z z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 x y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 z (.f64 z z))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a t)) x) (.f64 (.f64 y z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (pow.f64 z #s(literal 4 binary64))) (.f64 a (.f64 a a))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 5 binary64)))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 t (.f64 t t)))))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 (.f64 x y) t)) (.f64 z z)) (*.f64 x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 a x) (.f64 (.f64 y (.f64 z z)) (/.f64 (.f64 (.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) t)) (.f64 z z))) (.f64 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))
(fma.f64 a (fma.f64 a (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a x) (.f64 (.f64 y (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (.f64 t (.f64 (/.f64 (.f64 t t) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -3/4 binary64) (.f64 z z)))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t (.f64 t t)) (pow.f64 z #s(literal 8 binary64)))))) (.f64 x (.f64 (.f64 y (.f64 z z)) (/.f64 (.f64 (.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) t)) (.f64 z z))) (.f64 x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 y (.f64 z (.f64 z z))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 y (.f64 z (.f64 z z))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 y (.f64 z (.f64 z z))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 y (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 a (pow.f64 z #s(literal 4 binary64)))) (.f64 t (.f64 t t))) z (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 x y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 z (.f64 z z))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 x y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 z (.f64 z z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 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)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (.f64 x y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 z (.f64 z z))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 (.f64 x y) (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 t a)) (.f64 (.f64 x y) (.f64 (.f64 z (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (pow.f64 z #s(literal 4 binary64))) (.f64 t (.f64 t t))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 a (.f64 a a))))

eval305.0ms (2.3%)

Memory: -1.9MiB live, 468.0MiB allocated
Compiler: Compiled 44 799 to 3 540 computations (92.1% saved)

prune225.0ms (1.7%)

Memory

-10.6MiB live, 401.9MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 859	13	1 872
Fresh	1	10	11
Picked	3	2	5
Done	0	0	0
Total	1 863	25	1 888

Accuracy

96.6%

Counts

1 888 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	66.6%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))) z) (.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
	66.7%	(/.f64 (.f64 (.f64 z x) y) z)
	64.2%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	61.2%	(/.f64 (.f64 (.f64 y z) x) z)
	60.3%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	61.3%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
	39.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
	38.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 t a))) (.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))) (fma.f64 z z (*.f64 t a))))))
✓	66.3%	(/.f64 (.f64 (.f64 x y) z) z)
▶	76.3%	(/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
	62.0%	(/.f64 z (/.f64 z (*.f64 x y)))
	73.0%	(.f64 (/.f64 (.f64 z x) z) (/.f64 y #s(literal 1 binary64)))
	66.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
▶	51.2%	(.f64 (/.f64 (.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
	61.6%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) y)
	66.0%	(.f64 (/.f64 (.f64 x y) (fma.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z) z)) z)
	38.0%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))) z)
▶	61.7%	(.f64 (/.f64 (.f64 x y) z) z)
▶	65.8%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (*.f64 x y))
	66.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x z)))
	64.2%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y z))))
	76.0%	(.f64 x (/.f64 y (fma.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 t (fma.f64 z z #s(literal 0 binary64)))) #s(literal 1 binary64))))
✓	72.5%	(*.f64 x y)
	19.9%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) (*.f64 a t)))

Compiler

Compiled 882 to 574 computations (34.9% saved)

simplify221.0ms (1.7%)

Memory

15.7MiB live, 402.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 t a))
✓	cost-diff	0	(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
✓	cost-diff	0	(/.f64 z (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
✓	cost-diff	-64	(.f64 t (.f64 x y))
✓	cost-diff	-64	(.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 x y)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z))
✓	cost-diff	448	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
✓	cost-diff	-64	(*.f64 y z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	704	(/.f64 (*.f64 y z) #s(literal 1 binary64))
✓	cost-diff	1024	(.f64 (/.f64 (.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	1024	(.f64 (/.f64 (.f64 x y) z) z)
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(/.f64 t (*.f64 z z))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))

Rules

4 628×	`accelerator-lowering-fma.f32`
4 628×	`accelerator-lowering-fma.f64`
3 820×	`-lowering-.f32`
3 820×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	188
1	92	184
2	247	184
3	735	184
4	2034	182
5	2287	182
6	2777	182
7	4728	182
8	7657	182
0	8056	179

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x y) (+ (* (* -1/2 a) (/ t (* z z))) 1))
(* x y)
x
y
(+ (* (* -1/2 a) (/ t (* z z))) 1)
(* -1/2 a)
-1/2
a
(/ t (* z z))
t
(* z z)
z
1
(* (/ (* x y) z) z)
(/ (* x y) z)
(* x y)
x
y
z
(* (/ (* y z) 1) (/ x z))
(/ (* y z) 1)
(* y z)
y
z
1
(/ x z)
x
(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
a
(/ (* 1/2 (* t (* x y))) (* z z))
(* 1/2 (* t (* x y)))
1/2
(* t (* x y))
t
(* x y)
x
y
(* z z)
z
(* (/ z (sqrt (+ (* z z) (- 0 (* t a))))) (* x y))
(/ z (sqrt (+ (* z z) (- 0 (* t a)))))
z
(sqrt (+ (* z z) (- 0 (* t a))))
(+ (* z z) (- 0 (* t a)))
(- 0 (* t a))
0
(* t a)
t
a
(* x y)
x
y

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

localize116.0ms (0.9%)

Memory

-2.4MiB live, 232.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 z (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
✓	accuracy	98.8%	(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))
✓	accuracy	96.2%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (*.f64 x y))
✓	accuracy	61.9%	(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 x y)))
✓	accuracy	94.3%	(.f64 t (.f64 x y))
✓	accuracy	91.3%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
✓	accuracy	78.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z))
✓	accuracy	100.0%	(/.f64 (*.f64 y z) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	75.0%	(.f64 (/.f64 (.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.2%	(/.f64 (*.f64 x y) z)
✓	accuracy	83.2%	(.f64 (/.f64 (.f64 x y) z) z)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) a)
✓	accuracy	95.5%	(fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (.f64 z z)) #s(literal 1 binary64))
✓	accuracy	92.8%	(/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
✓	accuracy	88.6%	(/.f64 t (*.f64 z z))

Samples

72.0ms

256×

valid

Compiler

Compiled 200 to 35 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (52.9% of total)

ival-div: 10.0ms (27.8% of total)

ival-add: 3.0ms (8.4% of total)

ival-sqrt: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series66.0ms (0.5%)

Memory

1.1MiB live, 78.7MiB allocated

Counts

20 → 708

Calls

Call 1

Inputs
#<alt (/ (* x y) (+ (* (* -1/2 a) (/ t (* z z))) 1))>
#<alt (* -1/2 a)>
#<alt (/ t (* z z))>
#<alt (* x y)>
#<alt (* (/ (* x y) z) z)>
#<alt (/ (* x y) z)>
#<alt (* (/ (* y z) 1) (/ x z))>
#<alt (/ (* y z) 1)>
#<alt (/ x z)>
#<alt (* y z)>
#<alt (+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))>
#<alt (/ (* 1/2 (* t (* x y))) (* z z))>
#<alt (* 1/2 (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (/ z (sqrt (+ (* z z) (- 0 (* t a)))))>
#<alt (sqrt (+ (* z z) (- 0 (* t a))))>
#<alt (+ (* z z) (- 0 (* t a)))>
#<alt (- 0 (* t a))>
#<alt (+ (* (* -1/2 a) (/ t (* z z))) 1)>
#<alt (* (/ z (sqrt (+ (* z z) (- 0 (* t a))))) (* x y))>

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

Calls

177 calls:

Time	Variable		Point	Expression
20.0ms	y	@	0	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
7.0ms	x	@	0	(* (/ z (sqrt (+ (* z z) (- 0 (* t a))))) (* x y))
1.0ms	x	@	0	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
1.0ms	y	@	inf	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
1.0ms	x	@	inf	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))

rewrite668.0ms (5%)

Memory

-106.4MiB live, 744.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 282×	`accelerator-lowering-fma.f32`
5 282×	`accelerator-lowering-fma.f64`
4 314×	`-lowering-.f32`
4 314×	`-lowering-.f64`
3 998×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	144
1	188	140
2	1450	139
0	8824	132

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 182

Calls

Call 1

Inputs
(/ (* x y) (+ (* (* -1/2 a) (/ t (* z z))) 1))
(* -1/2 a)
(/ t (* z z))
(* x y)
(* (/ (* x y) z) z)
(/ (* x y) z)
(* (/ (* y z) 1) (/ x z))
(/ (* y z) 1)
(/ x z)
(* y z)
(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
(/ (* 1/2 (* t (* x y))) (* z z))
(* 1/2 (* t (* x y)))
(* t (* x y))
(/ z (sqrt (+ (* z z) (- 0 (* t a)))))
(sqrt (+ (* z z) (- 0 (* t a))))
(+ (* z z) (- 0 (* t a)))
(- 0 (* t a))
(+ (* (* -1/2 a) (/ t (* z z))) 1)
(* (/ z (sqrt (+ (* z z) (- 0 (* t a))))) (* x y))

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

simplify854.0ms (6.4%)

Memory

13.6MiB live, 864.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 148×	`-lowering-.f32`
7 148×	`-lowering-.f64`
6 480×	`accelerator-lowering-fma.f32`
6 480×	`accelerator-lowering-fma.f64`
4 108×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	861	9573
1	2880	9416
0	8014	9117

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

Outputs
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 a (.f64 (.f64 x y) t)) (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 x y))
(+ (* a (- (* 1/4 (/ (* a (* (pow t 2) (* x y))) (pow z 4))) (* -1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(fma.f64 x y (.f64 a (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 t t)) (.f64 y (/.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) t)) (*.f64 z z)))))
(+ (* a (- (* a (- (* 1/8 (/ (* a (* (pow t 3) (* x y))) (pow z 6))) (* -1/4 (/ (* (pow t 2) (* x y)) (pow z 4))))) (* -1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 a (.f64 t (.f64 t t))) (.f64 x y)) (pow.f64 z #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x y) (.f64 t (/.f64 t (pow.f64 z #s(literal 4 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) t)) (.f64 z z))) (.f64 x y))
(* -2 (/ (* x (* y (pow z 2))) (* a t)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
(/ (+ (* -4 (/ (* x (* y (pow z 4))) (* a (pow t 2)))) (* -2 (/ (* x (* y (pow z 2))) t))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) t) (/.f64 (.f64 #s(literal -4 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 a (.f64 t t)))) a)
(/ (- (+ (* -8 (/ (* x (* y (pow z 6))) (* (pow a 2) (pow t 3)))) (* -2 (/ (* x (* y (pow z 2))) t))) (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2))))) a)
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64)))) (.f64 (.f64 t (.f64 t t)) (.f64 a a))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) t) (/.f64 (.f64 #s(literal -4 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 a (.f64 t t))))) a)
(/ (- (+ (* -16 (/ (* x (* y (pow z 8))) (* (pow a 3) (pow t 4)))) (* -2 (/ (* x (* y (pow z 2))) t))) (+ (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2)))) (* 8 (/ (* x (* y (pow z 6))) (* (pow a 2) (pow t 3)))))) a)
(/.f64 (+.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 8 binary64)))) (.f64 (.f64 a (.f64 a a)) (pow.f64 t #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) t) (/.f64 (.f64 #s(literal -4 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 a (.f64 t t))))) (/.f64 (.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64)))) #s(literal -8 binary64)) (.f64 (.f64 t (.f64 t t)) (.f64 a a)))) a)
(* -2 (/ (* x (* y (pow z 2))) (* a t)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
(* -1 (/ (+ (* 2 (/ (* x (* y (pow z 2))) t)) (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2))))) a))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) t) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 a (.f64 t t)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* x (* y (pow z 6))) (* a (pow t 3)))) (* 4 (/ (* x (* y (pow z 4))) (pow t 2)))) a)) (* 2 (/ (* x (* y (pow z 2))) t))) a))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 y (.f64 z z)))) t) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 t t)) (/.f64 (.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64)))) #s(literal -8 binary64)) (.f64 a (.f64 t (*.f64 t t))))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* x (* y (pow z 8))) (* a (pow t 4)))) (* -8 (/ (* x (* y (pow z 6))) (pow t 3)))) a)) (* 4 (/ (* x (* y (pow z 4))) (pow t 2)))) a)) (* 2 (/ (* x (* y (pow z 2))) t))) a))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 y (.f64 z z)))) t) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 t t)) (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64)))) (.f64 t (.f64 t t))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 8 binary64))))) (*.f64 a (pow.f64 t #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) a))) a)) (-.f64 #s(literal 0 binary64) a))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 a (.f64 (.f64 x y) t)) (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 x y))
(+ (* t (- (* 1/4 (/ (* (pow a 2) (* t (* x y))) (pow z 4))) (* -1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(fma.f64 t (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 a a)) (.f64 y (/.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) a)) (.f64 z z))) (*.f64 x y))
(+ (* t (- (* t (- (* 1/8 (/ (* (pow a 3) (* t (* x y))) (pow z 6))) (* -1/4 (/ (* (pow a 2) (* x y)) (pow z 4))))) (* -1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(fma.f64 x y (.f64 t (fma.f64 t (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 a (.f64 a a))) (/.f64 (.f64 x y) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a a) x) y)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) a)) (.f64 z z)))))
(* -2 (/ (* x (* y (pow z 2))) (* a t)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
(/ (+ (* -4 (/ (* x (* y (pow z 4))) (* (pow a 2) t))) (* -2 (/ (* x (* y (pow z 2))) a))) t)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) a) (/.f64 (.f64 #s(literal -4 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 t (.f64 a a)))) t)
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z
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
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(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(- (pow z 2) (* a t))
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(- (pow z 2) (* a t))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
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(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
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(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) t) a) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) t) a) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) t) a) (-.f64 #s(literal 0 binary64) t))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -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)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a t)) (.f64 (.f64 x y) (.f64 (.f64 z (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (pow.f64 z #s(literal 4 binary64))) (.f64 a (.f64 a a))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 5 binary64)))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 t (.f64 t t))))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 (.f64 a (.f64 (.f64 x y) t)) (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(fma.f64 x y (.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 a x) (.f64 (.f64 y (.f64 z z)) (/.f64 (.f64 (.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) t)) (.f64 z z)))))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(fma.f64 a (fma.f64 a (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a x) (.f64 (.f64 y (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 t (.f64 z z))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t (.f64 t t)) (pow.f64 z #s(literal 8 binary64)))))) (.f64 x (.f64 (.f64 y (.f64 z z)) (/.f64 (.f64 (.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x y) t)) (.f64 z z))) (.f64 x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 y (.f64 z (.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (/.f64 (.f64 x (.f64 y (.f64 z (.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -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) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 y (.f64 z (.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (.f64 x (.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) (.f64 x (.f64 y (.f64 z (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (pow.f64 z #s(literal 4 binary64))) (.f64 t (.f64 t t))) (/.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 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 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)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 a (.f64 a a))))) (.f64 x (.f64 (.f64 y (.f64 z (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 t a)) (.f64 (.f64 x y) (.f64 (.f64 z (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (pow.f64 z #s(literal 4 binary64))) (.f64 t (.f64 t t))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (.f64 x (.f64 (.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 a (.f64 a a))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) t) (.f64 z z)))))

eval414.0ms (3.1%)

Memory: 27.2MiB live, 638.6MiB allocated
Compiler: Compiled 51 453 to 4 825 computations (90.6% saved)

prune394.0ms (3%)

Memory

-9.9MiB live, 752.1MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	2 482	16	2 498
Fresh	5	13	18
Picked	4	1	5
Done	0	2	2
Total	2 491	32	2 523

Accuracy

96.6%

Counts

2 523 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(/.f64 (/.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) z))
	66.6%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))) z) (.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
	66.7%	(/.f64 (.f64 (.f64 z x) y) z)
▶	64.2%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	61.2%	(/.f64 (.f64 (.f64 y z) x) z)
	60.3%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	61.3%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
	39.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
	38.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 t a))) (.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))) (fma.f64 z z (*.f64 t a))))))
✓	66.3%	(/.f64 (.f64 (.f64 x y) z) z)
	69.0%	(/.f64 (*.f64 z x) (/.f64 z y))
▶	77.5%	(/.f64 (.f64 x y) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64)))
✓	76.3%	(/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
	19.9%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
	62.0%	(/.f64 z (/.f64 z (*.f64 x y)))
▶	59.9%	(/.f64 x (/.f64 z (*.f64 y z)))
	59.9%	(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) z))
▶	65.8%	(.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x y))
	73.0%	(.f64 (/.f64 (.f64 z x) z) y)
	66.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
	61.6%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) y)
	38.0%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))) z)
	38.3%	(.f64 (/.f64 z (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (*.f64 x y))
	76.0%	(.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (fma.f64 z z #s(literal 0 binary64)))) #s(literal 1 binary64))) x)
	61.0%	(*.f64 (/.f64 x (/.f64 z y)) z)
▶	51.2%	(.f64 (/.f64 x z) (.f64 y z))
	61.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 x y))) z)
	64.2%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y z))))
	65.4%	(.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (/.f64 t (.f64 z z)))) x))
	60.0%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
✓	72.5%	(*.f64 x y)
	72.3%	(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 039 to 689 computations (33.7% saved)

simplify316.0ms (2.4%)

Memory

35.0MiB live, 657.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 z z) (.f64 t a))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 t (*.f64 z z))
✓	cost-diff	0	(fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	320	(/.f64 z (*.f64 y z))
✓	cost-diff	1088	(/.f64 x (/.f64 z (*.f64 y z)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	1024	(.f64 (/.f64 x z) (.f64 y z))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) a) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (.f64 x y) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64)))
✓	cost-diff	320	(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64))

Rules

6 040×	`-lowering-.f32`
6 040×	`-lowering-.f64`
5 152×	`accelerator-lowering-fma.f32`
5 152×	`accelerator-lowering-fma.f64`
3 346×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
1	75	172
2	177	170
3	380	170
4	1288	170
5	2374	170
6	3843	170
7	4665	170
0	8623	166

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize162.0ms (1.2%)

Memory

-60.8MiB live, 217.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	94.6%	(.f64 (.f64 y z) x)
✓	accuracy	88.6%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
✓	accuracy	61.9%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	95.1%	(.f64 (fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x y))
✓	accuracy	88.6%	(/.f64 t (*.f64 z z))
✓	accuracy	88.0%	(.f64 a (/.f64 t (.f64 z z)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.7%	(/.f64 x (/.f64 z (*.f64 y z)))
✓	accuracy	76.3%	(/.f64 z (*.f64 y z))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	75.0%	(.f64 (/.f64 x z) (.f64 y z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) a)
✓	accuracy	96.6%	(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64))
✓	accuracy	92.8%	(/.f64 (.f64 x y) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64)))

Samples

111.0ms

256×

valid

Compiler

Compiled 178 to 33 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 63.0ms (69.4% of total)

ival-div: 22.0ms (24.3% of total)

ival-add: 2.0ms (2.2% of total)

ival-sqrt: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.3%)

Memory

7.6MiB live, 83.2MiB allocated

Counts

18 → 624

Calls

Call 1

Inputs
#<alt (+ (* (/ (* -1/2 a) z) (/ t z)) 1)>
#<alt (/ (* x y) (+ (* (/ (* -1/2 a) z) (/ t z)) 1))>
#<alt (* x y)>
#<alt (/ (* -1/2 a) z)>
#<alt (* (/ x z) (* y z))>
#<alt (/ x z)>
#<alt (* y z)>
#<alt (/ x (/ z (* y z)))>
#<alt (/ z (* y z))>
#<alt (* (+ (* (* a (/ t (* z z))) 1/2) 1) (* x y))>
#<alt (+ (* (* a (/ t (* z z))) 1/2) 1)>
#<alt (/ t (* z z))>
#<alt (/ (* (* y z) x) (sqrt (- (* z z) (* t a))))>
#<alt (sqrt (- (* z z) (* t a)))>
#<alt (- (* z z) (* t a))>
#<alt (* -1/2 a)>
#<alt (* a (/ t (* z z)))>
#<alt (* (* y z) x)>

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

Calls

156 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(* (+ (* (* a (/ t (* z z))) 1/2) 1) (* x y))
1.0ms	x	@	0	(* (+ (* (* a (/ t (* z z))) 1/2) 1) (* x y))
1.0ms	y	@	0	(* (+ (* (* a (/ t (* z z))) 1/2) 1) (* x y))
1.0ms	y	@	inf	(* (+ (* (* a (/ t (* z z))) 1/2) 1) (* x y))
0.0ms	z	@	0	(* (+ (* (* a (/ t (* z z))) 1/2) 1) (* x y))

rewrite319.0ms (2.4%)

Memory

18.1MiB live, 540.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 820×	`-lowering-.f32`
3 820×	`-lowering-.f64`
3 618×	`accelerator-lowering-fma.f32`
3 618×	`accelerator-lowering-fma.f64`
3 352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	134
1	163	134
2	1186	128
0	8884	124

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 791

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 t (.f64 a t)))) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 t (.f64 a t)))) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 t (.f64 a t)))) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 t (.f64 a t)))) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 z z))) (.f64 #s(literal -1/2 binary64) (.f64 a t))) (.f64 z z)))) (/.f64 (.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 z z))) (.f64 #s(literal -1/2 binary64) (.f64 a t))) (*.f64 z z)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 a (/.f64 t (.f64 z z)))) #s(literal 1 binary64))
(fma.f64 a (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 a (neg.f64 (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (.f64 z z)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (-.f64 #s(literal 0 binary64) (.f64 z z))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z t) z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (-.f64 #s(literal 0 binary64) (/.f64 t z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))
(fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal -1/2 binary64) a) z)) #s(literal 1 binary64))
(fma.f64 t (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 #s(literal -1/2 binary64) a)) z)) #s(literal 1 binary64))
(fma.f64 t (/.f64 #s(literal 1 binary64) (.f64 z (/.f64 z (.f64 #s(literal -1/2 binary64) a)))) #s(literal 1 binary64))
(fma.f64 t (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal -1/2 binary64) a) z))) #s(literal 1 binary64))
(fma.f64 (/.f64 t z) (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) #s(literal 1 binary64))
(fma.f64 (/.f64 t z) (/.f64 (*.f64 a #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(fma.f64 (/.f64 t z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 t (.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 a (/.f64 t (.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 a (/.f64 t (.f64 z z)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 t (.f64 z z)) #s(literal 1 binary64))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 t (-.f64 #s(literal 0 binary64) (.f64 z z))) #s(literal 1 binary64))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 z t) z))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal -1/2 binary64) a) z)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 z (.f64 #s(literal -1/2 binary64) a)) z))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (.f64 #s(literal -1/2 binary64) a)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 t (.f64 a t)))) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) t) (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(fma.f64 (/.f64 a z) (/.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))
(fma.f64 (/.f64 a z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 t (.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 t (.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 (.f64 t (.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 t (.f64 a #s(literal 1/2 binary64))) z) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 t (.f64 a #s(literal 1/2 binary64))) z) (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) z) (/.f64 t z) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) z) (-.f64 #s(literal 0 binary64) (/.f64 t z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64))
(fma.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (.f64 z z))) (.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1/2 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64))
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(neg.f64 (.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (.f64 z z))) a))
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(neg.f64 (*.f64 (/.f64 a z) (-.f64 #s(literal 0 binary64) (/.f64 t z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)) (.f64 z z)))
(/.f64 a (/.f64 (*.f64 z z) t))
(/.f64 (/.f64 t z) (/.f64 z a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 a t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) t) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z z) (.f64 a t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 a (/.f64 t z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 t z) a)))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)) (-.f64 #s(literal 0 binary64) (.f64 z z)))
(/.f64 (/.f64 a z) (/.f64 z t))
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(/.f64 (neg.f64 (*.f64 (/.f64 t z) a)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (/.f64 (*.f64 a t) z)) (-.f64 #s(literal 0 binary64) z))
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(*.f64 (/.f64 t z) (/.f64 a z))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) (/.f64 (-.f64 #s(literal 0 binary64) a) z))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) z) (-.f64 #s(literal 0 binary64) (/.f64 t z)))
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(-.f64 #s(literal 0 binary64) (.f64 z (-.f64 #s(literal 0 binary64) (.f64 x y))))
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(.f64 (.f64 x y) z)
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(.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(.f64 (.f64 z x) y)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 z x)))
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simplify537.0ms (4%)

Memory

6.9MiB live, 870.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 504×	`-lowering-.f32`
8 504×	`-lowering-.f64`
7 628×	`accelerator-lowering-fma.f32`
7 628×	`accelerator-lowering-fma.f64`
3 082×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	7881
1	2447	7791
0	8152	7512

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* -1/2 (/ (* a t) (pow z 2)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z))
(* a (+ (* -1/2 (/ t (pow z 2))) (/ 1 a)))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* a (+ (* -1/2 (/ t (pow z 2))) (/ 1 a)))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* a (+ (* -1/2 (/ t (pow z 2))) (/ 1 a)))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* -1/2 (/ (* a t) (pow z 2)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z))
(* -1 (* a (- (* 1/2 (/ t (pow z 2))) (/ 1 a))))
(-.f64 #s(literal 0 binary64) (.f64 a (fma.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))))
(* -1 (* a (- (* 1/2 (/ t (pow z 2))) (/ 1 a))))
(-.f64 #s(literal 0 binary64) (.f64 a (fma.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))))
(* -1 (* a (- (* 1/2 (/ t (pow z 2))) (/ 1 a))))
(-.f64 #s(literal 0 binary64) (.f64 a (fma.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ (* a t) (pow z 2)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) (pow z 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a t) (.f64 z z)) (*.f64 z z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) (pow z 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a t) (.f64 z z)) (*.f64 z z))
(/ (+ (* -1/2 (* a t)) (pow z 2)) (pow z 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a t) (.f64 z z)) (*.f64 z z))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* a t) (pow z 2))))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* -1/2 (/ (* a t) (pow z 2)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z))
(* t (+ (* -1/2 (/ a (pow z 2))) (/ 1 t)))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* t (+ (* -1/2 (/ a (pow z 2))) (/ 1 t)))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* t (+ (* -1/2 (/ a (pow z 2))) (/ 1 t)))
(fma.f64 (/.f64 t (.f64 z z)) (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(* -1/2 (/ (* a t) (pow z 2)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (*.f64 z z))
(* -1 (* t (- (* 1/2 (/ a (pow z 2))) (/ 1 t))))
(-.f64 #s(literal 0 binary64) (.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 z z)) (/.f64 #s(literal -1 binary64) t))))
(* -1 (* t (- (* 1/2 (/ a (pow z 2))) (/ 1 t))))
(-.f64 #s(literal 0 binary64) (.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 z z)) (/.f64 #s(literal -1 binary64) t))))
(* -1 (* t (- (* 1/2 (/ a (pow z 2))) (/ 1 t))))
(-.f64 #s(literal 0 binary64) (.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 z z)) (/.f64 #s(literal -1 binary64) t))))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(/.f64 (.f64 x y) (fma.f64 (/.f64 t (.f64 z z)) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)))
(/ (* x y) (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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(* x y)
(*.f64 x y)
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
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(* -1 z)
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(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
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(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
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(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
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(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
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(* 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))))))
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(* -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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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 t z) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 t t))) (.f64 z (*.f64 z z)))) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 t t) (.f64 z (.f64 z z))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 t (.f64 t t)))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) t) z)) z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a t))))) (.f64 (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t 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 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t (pow.f64 a #s(literal 5 binary64)))))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a t))))) (.f64 (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t 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 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 z #s(literal 4 binary64))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a t))))) (.f64 (.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a t))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)))) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a t)))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (*.f64 t (pow.f64 a #s(literal 5 binary64))))))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t (pow.f64 a #s(literal 5 binary64))))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a t))))) (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 t a))))))))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(- (pow z 2) (* a t))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(- (pow z 2) (* a t))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 t (.f64 z z)))))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) t) a) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) t) a) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) t) a) (-.f64 #s(literal 0 binary64) t))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) t) (*.f64 z z))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) a) t))
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(/ (* a t) (pow z 2))
(.f64 a (/.f64 t (.f64 z z)))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))
(* x (* y z))
(.f64 z (.f64 x y))

eval215.0ms (1.6%)

Memory: -5.9MiB live, 387.1MiB allocated
Compiler: Compiled 28 916 to 2 517 computations (91.3% saved)

prune212.0ms (1.6%)

Memory

-5.5MiB live, 495.1MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 512	14	1 526
Fresh	10	14	24
Picked	2	3	5
Done	0	3	3
Total	1 524	34	1 558

Accuracy

96.6%

Counts

1 558 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(/.f64 (/.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) z))
	66.6%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))) z) (.f64 z (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
	60.3%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	66.7%	(/.f64 (.f64 (.f64 z x) y) z)
	37.8%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
	38.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 z z) (.f64 a t)) (fma.f64 a t (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 a t (.f64 z z))))))
	61.2%	(/.f64 (.f64 (.f64 y z) x) z)
	61.3%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
✓	66.3%	(/.f64 (.f64 (.f64 x y) z) z)
	69.0%	(/.f64 (*.f64 z x) (/.f64 z y))
✓	77.5%	(/.f64 (.f64 x y) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64)))
	77.5%	(/.f64 (*.f64 x y) (fma.f64 (/.f64 a z) (/.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)))
✓	76.3%	(/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64)))
	19.9%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 (.f64 z z) y))) (*.f64 a t))
	62.0%	(/.f64 z (/.f64 z (*.f64 x y)))
✓	59.9%	(/.f64 x (/.f64 z (*.f64 y z)))
	72.3%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
	69.2%	(/.f64 x (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z)))
	59.9%	(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) z))
	73.0%	(.f64 (/.f64 (.f64 z x) z) y)
	38.0%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))) z)
	38.3%	(.f64 (/.f64 z (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (*.f64 x y))
	76.0%	(.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (*.f64 z z))) #s(literal 1 binary64))) x)
	61.0%	(*.f64 (/.f64 x (/.f64 z y)) z)
✓	51.2%	(.f64 (/.f64 x z) (.f64 y z))
	61.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 x y))) z)
	64.2%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y z))))
	51.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 y z))
	66.2%	(.f64 (.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) z))
	61.6%	(.f64 y (/.f64 (.f64 z x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))))
	65.4%	(.f64 y (.f64 x (fma.f64 a (.f64 (/.f64 t (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	66.2%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))))
✓	72.5%	(*.f64 x y)
	72.3%	(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 300 to 559 computations (57% saved)

regimes152.0ms (1.1%)

Memory

14.8MiB live, 351.1MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

24.0ms	x
22.0ms	a
18.0ms	z
18.0ms	t
18.0ms	y

Results

Accuracy	Segments	Branch
82.3%	3	`x`
83.0%	3	`y`
95.3%	2	`z`
77.5%	1	`t`
77.5%	1	`a`
94.0%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
80.9%	3	`(*.f64 x y)`
85.0%	3	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes17.0ms (0.1%)

Memory

22.9MiB live, 61.2MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
95.3%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes22.0ms (0.2%)

Memory

-27.9MiB live, 49.0MiB allocated

Counts

51 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
95.3%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes25.0ms (0.2%)

Memory

28.7MiB live, 65.2MiB allocated

Counts

41 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
11.0ms	z

Results

Accuracy	Segments	Branch
80.1%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
88.2%	2	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes14.0ms (0.1%)

Memory

7.2MiB live, 44.2MiB allocated

Counts

38 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
87.8%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes34.0ms (0.3%)

Memory

-41.3MiB live, 49.4MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
87.3%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes11.0ms (0.1%)

Memory

34.5MiB live, 34.5MiB allocated

Counts

34 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
86.2%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory

-10.8MiB live, 25.5MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.1%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes81.0ms (0.6%)

Memory

-11.9MiB live, 179.9MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs
(/.f64 (.f64 (.f64 z x) y) z)
(*.f64 x y)

Calls

8 calls:

15.0ms	(*.f64 x y)
10.0ms	t
10.0ms	z
10.0ms	y
8.0ms	a

Results

Accuracy	Segments	Branch
76.0%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
73.0%	1	`t`
74.7%	2	`a`
75.2%	2	`(*.f64 x y)`
73.0%	1	`x`
74.8%	2	`y`
75.1%	2	`(*.f64 t a)`
75.8%	2	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes10.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (/.f64 x z) (.f64 y z))
(.f64 (/.f64 (.f64 x y) z) z)
(.f64 (/.f64 (.f64 z x) z) y)
(/.f64 (.f64 (.f64 x y) z) z)
(/.f64 (.f64 (.f64 y z) x) z)

Outputs
(.f64 (/.f64 (.f64 z x) z) y)
(*.f64 x y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.7%	2	`(*.f64 t a)`
74.8%	2	`(*.f64 x y)`
74.8%	2	`z`
74.9%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes16.0ms (0.1%)

Memory

6.6MiB live, 44.5MiB allocated

Accuracy

Total -15.4b remaining (-87.4%)

Threshold costs -15.4b (-87.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (/.f64 x z) (.f64 y z))
(.f64 (/.f64 (.f64 x y) z) z)

Outputs
(*.f64 x y)

Calls

8 calls:

3.0ms	y
2.0ms	x
2.0ms	z
2.0ms	a
2.0ms	t

Results

Accuracy	Segments	Branch
72.5%	1	`x`
72.5%	1	`t`
72.5%	1	`a`
72.5%	1	`(*.f64 t a)`
72.5%	1	`(*.f64 x y)`
72.5%	1	`y`
72.5%	1	`z`
72.5%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`

Compiler

Compiled 65 to 49 computations (24.6% saved)

bsearch21.0ms (0.2%)

Memory

-2.2MiB live, 38.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3720606640116075e+45	3.2434963394659765e+48

Samples

9.0ms	128×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 350 to 244 computations (30.3% saved)

Precisions

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

ival-mult: 3.0ms (54.9% of total)

ival-sub: 1.0ms (18.3% of total)

ival-div: 1.0ms (18.3% of total)

ival-sqrt: 1.0ms (18.3% of total)

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

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

bsearch24.0ms (0.2%)

Memory

-10.5MiB live, 58.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.3720606640116075e+45	3.2434963394659765e+48

Samples

17.0ms	128×	0	valid
1.0ms	12×	0	invalid

Compiler

Compiled 350 to 244 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.8% of total)

ival-sqrt: 3.0ms (36.8% of total)

ival-sub: 1.0ms (12.3% of total)

ival-div: 1.0ms (12.3% of total)

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

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

bsearch16.0ms (0.1%)

Memory

0.8MiB live, 39.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3720606640116075e+45	3.2434963394659765e+48

Samples

10.0ms	128×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 342 to 236 computations (31% saved)

Precisions

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

ival-mult: 3.0ms (58.3% of total)

ival-sub: 1.0ms (19.4% of total)

ival-div: 1.0ms (19.4% of total)

ival-sqrt: 1.0ms (19.4% of total)

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

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

bsearch23.0ms (0.2%)

Memory

-1.4MiB live, 41.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.8170530938476167e-85	4.248514777599554e-84

Samples

15.0ms	112×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 288 to 209 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (52.6% of total)

ival-sub: 1.0ms (17.5% of total)

ival-div: 1.0ms (17.5% of total)

ival-sqrt: 1.0ms (17.5% of total)

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

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

bsearch17.0ms (0.1%)

Memory

3.4MiB live, 42.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8170530938476167e-85	4.248514777599554e-84

Samples

9.0ms	112×	0	valid
2.0ms	33×	0	invalid

Compiler

Compiled 288 to 209 computations (27.4% saved)

Precisions

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

ival-mult: 3.0ms (44.2% of total)

ival-sub: 2.0ms (29.4% of total)

ival-div: 1.0ms (14.7% of total)

ival-sqrt: 1.0ms (14.7% of total)

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

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

bsearch17.0ms (0.1%)

Memory

2.0MiB live, 40.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0637454022836e-89	4.0106485020642627e-88

Samples

9.0ms	112×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 211 to 160 computations (24.2% saved)

Precisions

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

ival-mult: 4.0ms (61.3% of total)

ival-sub: 1.0ms (15.3% of total)

ival-div: 1.0ms (15.3% of total)

ival-sqrt: 1.0ms (15.3% of total)

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

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

bsearch17.0ms (0.1%)

Memory

3.2MiB live, 42.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.0637454022836e-89	4.0106485020642627e-88

Samples

8.0ms	112×	0	valid
4.0ms	40×	0	invalid

Compiler

Compiled 211 to 160 computations (24.2% saved)

Precisions

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

ival-mult: 4.0ms (59.3% of total)

ival-sub: 1.0ms (14.8% of total)

ival-div: 1.0ms (14.8% of total)

ival-sqrt: 1.0ms (14.8% of total)

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

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

bsearch25.0ms (0.2%)

Memory

-23.1MiB live, 41.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.0637454022836e-89	4.0106485020642627e-88

Samples

17.0ms	112×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 211 to 160 computations (24.2% saved)

Precisions

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

ival-mult: 3.0ms (54.9% of total)

ival-sub: 1.0ms (18.3% of total)

ival-div: 1.0ms (18.3% of total)

ival-sqrt: 1.0ms (18.3% of total)

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6456642705302032e-170	2.3300624748732608e-170

Compiler

Compiled 22 to 20 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6456642705302032e-170	2.3300624748732608e-170

Compiler

Compiled 22 to 20 computations (9.1% saved)

simplify13.0ms (0.1%)

Memory

-11.2MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
12×	`sub-neg_binary64`
8×	`+-commutative_binary64`
8×	`cancel-sign-sub-inv_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	265
1	111	265
2	121	265
3	126	265
4	128	265

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 45000000000000000958942456845845359761169580032 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) x) (/.f64 (.f64 x y) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 6500000000000000335704003802124458864989437952 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) x) (/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 315000000000000001641994797007999912341374238720 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 3499601159652819/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal 1 binary64))) x))
(if (<=.f64 z #s(literal 6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 x y))
(if (<=.f64 z #s(literal 3511919755734797/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 x y))
(if (<=.f64 z #s(literal 4569079274042721/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 x y)) (.f64 x y))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (.f64 (.f64 z x) y) z) (*.f64 x y))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (.f64 (/.f64 (.f64 z x) z) y) (*.f64 x y))
(*.f64 x y)

Outputs
(if (<=.f64 z #s(literal 45000000000000000958942456845845359761169580032 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) x) (/.f64 (.f64 x y) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) z) (/.f64 t z) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 45000000000000000958942456845845359761169580032 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) x) (/.f64 (.f64 y x) (fma.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) z) (/.f64 t z) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 6500000000000000335704003802124458864989437952 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) x) (/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 6500000000000000335704003802124458864989437952 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (.f64 t a))))) x) (/.f64 (.f64 y x) (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 315000000000000001641994797007999912341374238720 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 315000000000000001641994797007999912341374238720 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 (.f64 y x) (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 3499601159652819/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (/.f64 (.f64 x y) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 t (.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 3499601159652819/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 t a)))) (/.f64 (.f64 y x) (fma.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 t (.f64 z z)) #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal 1 binary64))) x))
(if (<=.f64 z #s(literal 8311552754175445/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 t a)))) (.f64 x (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 t (.f64 z z))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 x y))
(if (<=.f64 z #s(literal 6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 t a)))) (.f64 y x))
(if (<=.f64 z #s(literal 3511919755734797/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 x y))
(if (<=.f64 z #s(literal 3511919755734797/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 t a)))) (.f64 y x))
(if (<=.f64 z #s(literal 4569079274042721/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a t)))) (.f64 x y)) (.f64 x y))
(if (<=.f64 z #s(literal 4569079274042721/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (.f64 y x) (/.f64 z (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 t a))))) (.f64 y x))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (.f64 (.f64 z x) y) z) (*.f64 x y))
(if (<=.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (.f64 y (.f64 z x)) z) (*.f64 y x))
(if (<=.f64 (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (.f64 (/.f64 (.f64 z x) z) y) (*.f64 x y))
(if (<=.f64 (/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) #s(literal 5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (.f64 y (/.f64 (.f64 z x) z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)

soundness1.3s (9.7%)

Memory

7.2MiB live, 1 347.2MiB allocated

Rules

8 704×	`-lowering-.f32`
8 704×	`-lowering-.f64`
8 504×	`-lowering-.f32`
8 504×	`-lowering-.f64`
7 628×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	861	9573
1	2880	9416
0	8014	9117
0	31	134
1	163	134
2	1186	128
0	8884	124
0	33	144
1	188	140
2	1450	139
0	8824	132
0	739	7881
1	2447	7791
0	8152	7512
0	12	34
1	49	34
2	313	34
3	2693	34
0	8407	34
0	495	3591
1	1609	3519
2	6478	3501
0	8266	3389
0	29	124
1	170	120
2	1352	119
0	8831	111
0	816	10005
1	2736	9848
2	7659	9838
0	8059	9491

Stop Event

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

Compiler

Compiled 888 to 486 computations (45.3% saved)

preprocess890.0ms (6.7%)

Memory: -14.4MiB live, 544.0MiB allocated
Remove: (sort t a)
Compiler: Compiled 2 028 to 1 076 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze403.0ms (3%)

sample1.2s (9.4%)

preprocess170.0ms (1.3%)

explain125.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify81.0ms (0.6%)

localize31.0ms (0.2%)

series59.0ms (0.4%)

rewrite985.0ms (7.4%)

simplify430.0ms (3.2%)

eval85.0ms (0.6%)

prune123.0ms (0.9%)

simplify519.0ms (3.9%)

localize97.0ms (0.7%)

series139.0ms (1%)

rewrite328.0ms (2.5%)

simplify704.0ms (5.3%)

eval305.0ms (2.3%)

prune225.0ms (1.7%)

simplify221.0ms (1.7%)

localize116.0ms (0.9%)

series66.0ms (0.5%)

rewrite668.0ms (5%)

simplify854.0ms (6.4%)

eval414.0ms (3.1%)

prune394.0ms (3%)

simplify316.0ms (2.4%)

localize162.0ms (1.2%)

series39.0ms (0.3%)

rewrite319.0ms (2.4%)

simplify537.0ms (4%)

eval215.0ms (1.6%)

prune212.0ms (1.6%)

regimes152.0ms (1.1%)

regimes17.0ms (0.1%)

regimes22.0ms (0.2%)

regimes25.0ms (0.2%)

regimes14.0ms (0.1%)

regimes34.0ms (0.3%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes81.0ms (0.6%)

regimes10.0ms (0.1%)

regimes16.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch23.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.3s (9.7%)

preprocess890.0ms (6.7%)

end0.0ms (0%)

Profiling