Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze150.0ms (0.4%)

Memory

2.6MiB live, 159.9MiB 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
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
66.7%	49.9%	25%	0.2%	0%	25%	0%	8
66.7%	49.9%	25%	0.2%	0%	25%	0%	9
66.7%	49.9%	25%	0.2%	0%	25%	0%	10
66.7%	49.9%	25%	0.2%	0%	25%	0%	11
80%	49.9%	12.5%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample20.0s (55.1%)

Memory

30.9MiB live, 2 127.6MiB allocated

Samples

19.1s	8 256×	0	valid
206.0ms	2 032×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 18.9s

ival-mult: 9.5s (50.1% of total)

ival-sqrt: 9.2s (48.4% of total)

ival-exp: 90.0ms (0.5% of total)

ival-sub: 85.0ms (0.4% of total)

ival-div: 84.0ms (0.4% of total)

exact: 10.0ms (0.1% of total)

ival-true: 7.0ms (0% of total)

ival-assert: 4.0ms (0% of total)

Bogosity

explain161.0ms (0.4%)

Memory

-3.9MiB live, 233.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
1	-	-	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
0	-	-	`t`
0	-	-	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
0	-	-	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
0	-	-	`z`
0	-	-	`(*.f64 x #s(literal 1/2 binary64))`
0	-	-	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
0	-	-	`(*.f64 t t)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z #s(literal 2 binary64))`
0	-	-	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`	*uo**	3	0
↳	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`	underflow	3
↳	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`	overflow	125
↳	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`	overflow	66
↳	`(*.f64 t t)`	overflow	66
`exp.f64`	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	3	0
-	1	252

Precision

0.75

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	1	0	252

Precision?

0.75

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 149 to 49 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 33.0ms (65.7% of total)

ival-sub: 4.0ms (8% of total)

ival-div: 4.0ms (8% of total)

ival-exp: 4.0ms (8% of total)

ival-sqrt: 4.0ms (8% of total)

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

exact: 1.0ms (2% of total)

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

preprocess124.0ms (0.3%)

Memory

-18.4MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 466×	`times-frac`
1 444×	`unsub-neg`
1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
934×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	232
1	192	226
2	495	224
3	1536	224
4	4035	224
5	6477	224
0	15	17
0	24	16
1	36	16
2	58	16
3	115	16
4	246	16
5	375	16
6	507	16
7	817	16
8	1505	16
9	1943	16
10	2083	16
11	2101	16
12	2101	16
13	2121	16
14	2129	16
15	2129	16
0	2129	16

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs t)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify86.0ms (0.2%)

Memory

6.8MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff	64	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))

Rules

1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
922×	`lower-*.f32`
912×	`lower-*.f64`
418×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	24	60
1	36	60
2	58	60
3	115	60
4	246	60
5	375	60
6	507	60
7	817	60
8	1505	60
9	1943	60
10	2083	60
11	2101	60
12	2101	60
13	2121	60
14	2129	60
15	2129	60
0	2129	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.1%)

Memory

0.5MiB live, 72.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.02784876178494128	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy	0.2421875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Samples

27.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (60.1% of total)

ival-div: 2.0ms (12% of total)

ival-exp: 2.0ms (12% of total)

ival-sqrt: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.1%)

Memory

2.9MiB live, 40.1MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) (taylor -inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) (taylor -inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 x) y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/2 x) y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 y) (* 1/2 x)) (taylor 0 y) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ 1 (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	x	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	x	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	y	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	z	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

simplify580.0ms (1.6%)

Memory

5.7MiB live, 475.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 894×	`lower-fma.f64`
18 894×	`lower-fma.f32`
6 254×	`lower-*.f64`
6 254×	`lower-*.f32`
4 660×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	2087
1	454	1608
2	1580	1515
3	4468	1512
0	8848	1500

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ x y)) 1))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* y (- (* 1/2 (/ x y)) 1))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* y (- (* 1/2 (/ x y)) 1))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))

rewrite490.0ms (1.3%)

Memory

-10.5MiB live, 396.6MiB allocated

Rules

6 922×	`lower-fma.f64`
6 922×	`lower-fma.f32`
4 292×	`lower-/.f32`
4 290×	`lower-/.f64`
3 846×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	42
0	24	40
1	63	39
2	285	39
3	2343	39
0	8616	39

Stop Event

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

Counts

5 → 413

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 t t)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (E.f64)) (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 t #s(literal 1/2 binary64)))) t))
(fabs.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 (.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (exp.f64 (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))
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(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t)))
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eval199.0ms (0.5%)

Memory: -17.6MiB live, 93.6MiB allocated
Compiler: Compiled 20 297 to 1 668 computations (91.8% saved)

prune330.0ms (0.9%)

Memory

28.1MiB live, 148.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	528	17	545
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	529	17	546

Accuracy

100.0%

Counts

546 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
	97.9%	(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	74.6%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
	74.6%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	93.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	84.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
▶	57.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	98.6%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	93.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
	99.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	91.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
	87.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
▶	62.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))

Compiler

Compiled 888 to 578 computations (34.9% saved)

simplify864.0ms (2.4%)

Memory

3.6MiB live, 361.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
cost-diff	0	(.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Rules

28 488×	`lower-fma.f32`
28 484×	`lower-fma.f64`
3 436×	`lower-*.f32`
3 408×	`lower-*.f64`
2 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	402
0	76	392
1	134	392
2	268	388
3	725	388
4	1705	388
5	2231	388
6	3106	388
7	4414	388
8	5329	388
9	6147	388
10	6535	388
11	6601	388
12	6617	388
13	6681	388
14	6944	388
15	7004	388
16	7013	388
17	7013	388
18	7013	388
0	8039	386

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))
(.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))
#s(literal 2 binary64)
(.f64 z (exp.f64 (.f64 t t)))
z
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)))
(sqrt.f64 z)
z
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
#s(literal 1/2 binary64)
(*.f64 t t)
t
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
(/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))
(.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))
#s(literal 2 binary64)
(.f64 z (exp.f64 (.f64 t t)))
z
(exp.f64 (*.f64 t t))
(*.f64 t t)
t

localize437.0ms (1.2%)

Memory

-33.3MiB live, 210.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0289429333442879	(exp.f64 (*.f64 t t))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
accuracy	0.185878759768442	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
accuracy	0.23832409603164006	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
accuracy	0.02784876178494128	(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
accuracy	0.09375	(.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)))
accuracy	0.224941259768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
accuracy	15.846771340862377	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))
accuracy	0.00390625	(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.11328125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7770549457070272	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.0078125	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	0.11328125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	1.1442243304079227	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 z (exp.f64 (.f64 t t)))
accuracy	0.0289429333442879	(exp.f64 (*.f64 t t))
accuracy	0.11328125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
accuracy	0.23832409603164006	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))

Samples

215.0ms	124×	0	exit
156.0ms	132×	0	valid

Compiler

Compiled 363 to 40 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-mult: 139.0ms (48.7% of total)

ival-sqrt: 68.0ms (23.8% of total)

ival-sub: 64.0ms (22.4% of total)

ival-div: 6.0ms (2.1% of total)

ival-exp: 5.0ms (1.8% of total)

ival-add: 2.0ms (0.7% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series112.0ms (0.3%)

Memory

22.4MiB live, 94.5MiB allocated

Counts

21 → 576

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y))))) (patch #s(approx ( (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y))) (patch (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 t t)) (patch (exp.f64 (.f64 t t)) #<representation binary64>) () ())
#s(alt (.f64 z (exp.f64 (.f64 t t))) (patch (.f64 z (exp.f64 (.f64 t t))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow t 4)) (taylor inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) (taylor inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow t 4)) (taylor -inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())

Calls

144 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))))
6.0ms	y	@	-inf	(/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t))))))
4.0ms	t	@	0	(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
1.0ms	z	@	-inf	(* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))))
1.0ms	y	@	inf	(/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t))))))

simplify631.0ms (1.7%)

Memory

-0.1MiB live, 473.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 698×	`lower-fma.f64`
9 698×	`lower-fma.f32`
8 102×	`lower-*.f64`
8 102×	`lower-*.f32`
2 300×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	11885
1	1960	9999
2	6568	9483
0	8076	9299

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 575

Calls

Call 1

Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
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(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))))
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) x)
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) x)
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))
(* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))) x))
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x))
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x))
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))))
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) y)
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) y)
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))
(* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* -1/2 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))))
(+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* 1/8 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))))))
(+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))))))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(/ -1 y)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/ 2 x)
(/ (+ 2 (* 4 (/ y x))) x)
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)
(/ 2 x)
(* -1 (/ (- (* -4 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(/ 2 x)
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -1 y)
(/ (- (* -1/2 (/ x y)) 1) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
1
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
z
(+ z (* (pow t 2) z))
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))

Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 y (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(neg.f64 (.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(neg.f64 (.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(neg.f64 (.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
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(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
z
(+ z (* (pow t 2) z))
(fma.f64 z (*.f64 t t) z)
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
(fma.f64 (.f64 t t) (fma.f64 z (.f64 (*.f64 t t) #s(literal 1/2 binary64)) z) z)
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (.f64 z (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) z)
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
(* z (exp (pow t 2)))
(.f64 z (exp.f64 (.f64 t t)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (pow t 4))
(.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64)))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
(* 1/8 (pow t 4))
(.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64)))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))

rewrite438.0ms (1.2%)

Memory

10.7MiB live, 684.3MiB allocated

Rules

8 838×	`lower-fma.f32`
8 834×	`lower-fma.f64`
7 004×	`lower-*.f32`
6 976×	`lower-*.f64`
2 976×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	252
0	76	239
1	212	232
2	1033	232
0	8653	231

Stop Event

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

Counts

21 → 1 277

Calls

Call 1

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

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

eval486.0ms (1.3%)

Memory: 35.9MiB live, 697.9MiB allocated
Compiler: Compiled 67 756 to 4 102 computations (93.9% saved)

prune573.0ms (1.6%)

Memory

-23.7MiB live, 667.2MiB allocated

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	2 511	34	2 545
Fresh	8	4	12
Picked	4	1	5
Done	0	0	0
Total	2 523	39	2 562

Accuracy

100.0%

Counts

2 562 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	57.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
	57.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
	46.4%	(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))))
	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
	84.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
	57.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	26.6%	(.f64 (.f64 (fma.f64 (.f64 y (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	54.8%	(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	25.2%	(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	93.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	84.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	58.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 t (.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
	45.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
✓	57.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	93.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
▶	57.6%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	92.1%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	92.1%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	57.5%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	56.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	59.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	54.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	30.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	92.1%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
	63.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	57.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	93.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
	62.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal -1 binary64))) y))
	87.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	59.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
▶	57.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
	50.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))

Compiler

Compiled 1 899 to 1 255 computations (33.9% saved)

simplify183.0ms (0.5%)

Memory

29.7MiB live, 216.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	320	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
cost-diff	1792	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
cost-diff	0	(.f64 (sqrt.f64 z) (.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))))
cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
cost-diff	0	#s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	896	(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- (* x 1/2) y) (neg.f64 y))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Rules

5 202×	`lower-fma.f32`
5 190×	`lower-fma.f64`
4 030×	`lower-*.f32`
3 990×	`lower-*.f64`
1 562×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	578
0	102	552
1	194	546
2	402	522
3	1274	513
4	4541	513
0	8072	513

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
t
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 t t)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(approx (exp (* 1/2 (* t t))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(approx (exp ( 1/2 (* t t))) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
#s(approx (- (* x 1/2) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
y
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
#s(literal -1 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(approx (exp (* 1/2 (* t t))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))))
(.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 z) (.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))
(.f64 y (.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z))))
(sqrt.f64 z)
z
(.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(neg.f64 y)
y
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(neg.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) #s(literal 1 binary64)))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) y)
x
#s(literal 1/2 binary64)
y
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(approx (exp (* 1/2 (* t t))) #s(literal 1 binary64))

localize185.0ms (0.5%)

Memory

-0.3MiB live, 362.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
accuracy	0.2421875	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.09375	(.f64 (sqrt.f64 z) (.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))
accuracy	0.224941259768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))))
accuracy	7.887390673074915	#s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	23.846683264240298	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
accuracy	0.2421875	(.f64 #s(approx (- ( x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	4.703845239368026	(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.2421875	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	31.700736435482664	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	0.046875	(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
accuracy	0.05859375	(.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
accuracy	0.1171875	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Samples

110.0ms

256×

valid

Compiler

Compiled 438 to 52 computations (88.1% saved)

Precisions

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

ival-mult: 44.0ms (63.9% of total)

ival-add: 6.0ms (8.7% of total)

ival-sqrt: 6.0ms (8.7% of total)

ival-div: 5.0ms (7.3% of total)

ival-exp: 4.0ms (5.8% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series55.0ms (0.2%)

Memory

-6.0MiB live, 109.9MiB allocated

Counts

25 → 684

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (neg.f64 y)) (patch #s(approx (- (* x 1/2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- ( x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (patch #s(approx (- ( x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 z) (.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))) (patch (.f64 (sqrt.f64 z) (.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (patch (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (patch (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

171 calls:

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

simplify583.0ms (1.6%)

Memory

-19.1MiB live, 401.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 354×	`lower-fma.f64`
10 354×	`lower-fma.f32`
7 208×	`lower-*.f64`
7 208×	`lower-*.f32`
3 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	12148
1	1177	10262
2	3956	9339
0	8080	9206

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(- (* 1/2 x) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z))
(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z))
(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/8 (* (* y (sqrt 2)) (sqrt z))) (* -1/48 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
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(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
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(* (* y (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2))) (sqrt z))
(* (* y (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2))) (sqrt z))
(* (* y (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2))) (sqrt z))
(* -1 (* y (sqrt z)))
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(+ (* -1 (* y (sqrt z))) (* (pow t 2) (+ (* -1/2 (* y (sqrt z))) (* -1/8 (* (* (pow t 2) y) (sqrt z))))))
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(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
-1
(- (/ x y) 1)
(- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (+ (* x (- (* 1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) 1)
1
(- (+ 1 (* -2 (/ y x))) (* 2 (/ y x)))
(- (+ 1 (+ (* -2 (/ y x)) (* -2 (/ (* y (- (* -2 y) (* 2 y))) (pow x 2))))) (* 2 (/ y x)))
(- (+ 1 (+ (* -2 (/ y x)) (* 4 (/ (* (pow y 2) (- (* -2 y) (* 2 y))) (pow x 3))))) (+ (* 2 (/ y x)) (* 2 (/ (* y (- (* -2 y) (* 2 y))) (pow x 2)))))
1
(- (+ 1 (* -2 (/ y x))) (* 2 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* 2 y))) (* 2 (/ (* y (- (* -2 y) (* 2 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* 2 y))) (* -1 (/ (+ (* -2 (* y (- (* -2 y) (* 2 y)))) (* 4 (/ (* (pow y 2) (- (* -2 y) (* 2 y))) x))) x))) x)))
1
(+ 1 (* -4 (/ y x)))
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(+ 1 (* y (- (* y (+ (* -16 (/ y (pow x 3))) (* 8 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))))
-1
(- (* 1/2 (/ x y)) (+ 1 (* -1/2 (/ x y))))
(- (+ (* -1/2 (/ (* x (- (* 1/2 x) (* -1/2 x))) (pow y 2))) (* 1/2 (/ x y))) (+ 1 (* -1/2 (/ x y))))
(- (+ (* 1/4 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 x))) (pow y 3))) (* 1/2 (/ x y))) (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ (* x (- (* 1/2 x) (* -1/2 x))) (pow y 2))))))
-1
(- (* -1 (/ (- (* -1/2 x) (* 1/2 x)) y)) 1)
(- (* -1 (/ (- (+ (* -1/2 x) (* -1/2 (/ (* x (- (* -1/2 x) (* 1/2 x))) y))) (* 1/2 x)) y)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow x 2) (- (* -1/2 x) (* 1/2 x))) y)) (* -1/2 (* x (- (* -1/2 x) (* 1/2 x))))) y)) (* -1/2 x)) (* 1/2 x)) y)) 1)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/2 t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))

Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
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(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* 1/2 t)
(*.f64 #s(literal 1/2 binary64) t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* 1/8 (pow t 3))
(.f64 (.f64 t t) (*.f64 #s(literal 1/8 binary64) t))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 t t) (.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 t t) (.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 t t) (.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(* 1/8 (pow t 3))
(.f64 (.f64 t t) (*.f64 #s(literal 1/8 binary64) t))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 t t) (.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 t t) (.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 t t) (.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/8 (pow t 4))
(.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64))))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
(* 1/8 (pow t 4))
(.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64))))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (.f64 t t) (.f64 t t)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))

rewrite378.0ms (1%)

Memory

10.8MiB live, 489.7MiB allocated

Rules

6 256×	`lower-fma.f32`
6 244×	`lower-fma.f64`
4 544×	`lower-*.f32`
4 504×	`lower-*.f64`
4 008×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	418
0	102	386
1	306	365
2	1529	365
0	8416	365

Stop Event

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

Counts

25 → 842

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
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(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 y) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 y #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 y #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 y) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x #s(literal 1/2 binary64)) (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(/.f64 (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/64 binary64))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/4 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 t t) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 t t) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (neg.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (* 1/2 (* t t))) #s(literal 1 binary64))
#s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval283.0ms (0.8%)

Memory: -4.9MiB live, 448.7MiB allocated
Compiler: Compiled 58 402 to 4 034 computations (93.1% saved)

prune341.0ms (0.9%)

Memory

7.3MiB live, 566.7MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	1 764	22	1 786
Fresh	14	19	33
Picked	3	2	5
Done	1	0	1
Total	1 782	43	1 825

Accuracy

100.0%

Counts

1 825 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
	57.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
	84.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
	57.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	93.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	84.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	58.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 t (.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
	45.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
▶	95.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
▶	87.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
▶	53.7%	(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.1%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.9%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	35.5%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	28.4%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 y (fma.f64 #s(literal 8 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	38.4%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	28.8%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	45.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	30.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	14.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
✓	56.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	54.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	56.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	56.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	48.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
✓	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	92.1%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
	63.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	57.6%	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	62.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal -1 binary64))) y))
	57.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	59.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
	50.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
	48.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 1 986 to 1 314 computations (33.8% saved)

simplify174.0ms (0.5%)

Memory

25.2MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x)))
cost-diff	0	(.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	192	(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff	0	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))

Rules

6 606×	`lower-fma.f32`
6 590×	`lower-fma.f64`
3 974×	`lower-*.f32`
3 936×	`lower-*.f64`
1 728×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	574
0	100	557
1	196	557
2	387	554
3	816	554
4	1801	554
5	2725	554
6	3735	554
7	5918	554
0	8014	554

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
#s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))
(fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))
t
#s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))
(*.f64 #s(literal 1/2 binary64) t)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x)))
y
(.f64 #s(literal -1/4 binary64) (.f64 x x))
#s(literal -1/4 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))
#s(literal -1 binary64)
(fma.f64 x #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))
(fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))
t
#s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))
(*.f64 #s(literal 1/2 binary64) t)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))
(.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))))
(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))
(fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 y y))
y
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))
#s(literal -1 binary64)
(fma.f64 x #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize275.0ms (0.8%)

Memory

-14.7MiB live, 191.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7070271216604117	(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	1.4999834856333614	(fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x)))
accuracy	29.362502773983746	(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.2421875	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	31.202404638569487	#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.046875	(fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))
accuracy	0.1171875	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))
accuracy	30.104746009632056	#s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
accuracy	0.1171875	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
accuracy	30.489854239985746	#s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	0.05078125	(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	0.078125	(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
accuracy	0.1171875	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
accuracy	5.451772852243902	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

145.0ms

256×

valid

Compiler

Compiled 433 to 54 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 73.0ms (74.5% of total)

ival-add: 9.0ms (9.2% of total)

ival-div: 4.0ms (4.1% of total)

const: 4.0ms (4.1% of total)

ival-sqrt: 3.0ms (3.1% of total)

ival-exp: 2.0ms (2% of total)

ival-sub: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series176.0ms (0.5%)

Memory

24.0MiB live, 96.2MiB allocated

Counts

26 → 672

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (patch #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (- ( x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (patch (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (patch (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (patch #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (patch #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
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#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (patch #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow t 4)) (taylor inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) (taylor inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow t 4)) (taylor -inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) (taylor -inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor -inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor -inf t) (#s(alt (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) (patch (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

168 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(* (* (+ (* y y) (* -1/4 (* x x))) (/ -1 (+ (* x 1/2) y))) (sqrt (* z 2)))
3.0ms	t	@	0	(* (* (* (+ (* y y) (* -1/4 (* x x))) (/ -1 (+ (* x 1/2) y))) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	z	@	0	(* (* (* (+ (* y y) (* -1/4 (* x x))) (/ -1 (+ (* x 1/2) y))) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	t	@	inf	(* (* (* (+ (* y y) (* -1/4 (* x x))) (/ -1 (+ (* x 1/2) y))) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	z	@	-inf	(* (* (* (+ (* y y) (* -1/4 (* x x))) (/ -1 (+ (* x 1/2) y))) (sqrt (* z 2))) (exp (/ (* t t) 2)))

simplify643.0ms (1.8%)

Memory

1.7MiB live, 464.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 562×	`lower-fma.f64`
12 562×	`lower-fma.f32`
8 352×	`lower-*.f64`
8 352×	`lower-*.f32`
3 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	12318
1	845	10471
2	2949	9377
3	7659	9377
0	8264	9174

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
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(* -1 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))
(* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (+ (* -1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (+ (* -1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (+ (* -1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (+ (* -1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))
(* -1/4 (pow x 2))
(+ (* -1/4 (pow x 2)) (pow y 2))
(+ (* -1/4 (pow x 2)) (pow y 2))
(+ (* -1/4 (pow x 2)) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(+ (* -1/4 (pow x 2)) (pow y 2))
(+ (* -1/4 (pow x 2)) (pow y 2))
(+ (* -1/4 (pow x 2)) (pow y 2))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1/4))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1/4))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1/4))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1/4))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1/4))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
(+ 1/8 (* 1/48 (pow t 2)))
(+ 1/8 (* 1/48 (pow t 2)))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* 1/2 t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))

Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 x (.f64 (sqrt.f64 z) (fma.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 x (.f64 (sqrt.f64 z) (fma.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 x (.f64 (sqrt.f64 z) (fma.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (fma.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (fma.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (fma.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 y (.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 y (.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 y (.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 t (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
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(* 1/8 (pow t 4))
(.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/8 binary64))))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))

rewrite588.0ms (1.6%)

Memory

-107.1MiB live, 583.9MiB allocated

Rules

5 890×	`lower-fma.f32`
5 874×	`lower-fma.f64`
4 384×	`lower-*.f32`
4 346×	`lower-*.f64`
4 224×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	433
0	100	416
1	342	413
2	2022	413
0	8288	413

Stop Event

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

Counts

26 → 622

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
#s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
#s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))
#s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))
(fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))))
(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)))) (/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))))) (/.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(+.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal 1 binary64)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))))))
(/.f64 (neg.f64 (fma.f64 (.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)))))))
(/.f64 (neg.f64 (fma.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))))) (-.f64 #s(literal 1 binary64) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)))))
(/.f64 (-.f64 (.f64 (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) (.f64 (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64)) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal 1 binary64)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) (/.f64 (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal 1 binary64)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))))))
(.f64 (fma.f64 (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)))))))
(.f64 (fma.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal 1 binary64)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)))))))
(.f64 (neg.f64 (fma.f64 t (.f64 #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 t (.f64 #s(approx ( t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))))))
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))

eval238.0ms (0.7%)

Memory: 40.5MiB live, 421.9MiB allocated
Compiler: Compiled 47 582 to 2 711 computations (94.3% saved)

prune320.0ms (0.9%)

Memory

-9.3MiB live, 358.4MiB allocated

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1 442	22	1 464
Fresh	10	26	36
Picked	3	2	5
Done	2	0	2
Total	1 457	50	1 507

Accuracy

100.0%

Counts

1 507 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
	57.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
	73.3%	(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	85.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
	94.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	84.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
	57.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	45.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	95.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/48 binary64) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	95.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
	69.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	95.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	30.1%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.9%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	35.5%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	28.4%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 y (fma.f64 #s(literal 8 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	38.4%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	28.8%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	29.0%	(.f64 (.f64 (.f64 #s(approx (+ ( y y) (* -1/4 (* x x))) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	55.9%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
	45.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	30.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	14.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	55.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	54.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	49.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	58.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	56.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	51.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	48.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	59.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	50.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	57.5%	(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	57.5%	(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
	63.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	57.6%	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	56.9%	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	59.9%	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	30.1%	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	30.9%	(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	62.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal -1 binary64))) y))
	57.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	50.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
	48.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 3 203 to 1 125 computations (64.9% saved)

regimes425.0ms (1.2%)

Memory

15.0MiB live, 689.0MiB allocated

Counts

96 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(approx (+ ( y y) (* -1/4 (* x x))) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 y (fma.f64 #s(literal 8 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/48 binary64) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 t (.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal -1 binary64))) y))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

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

Calls

13 calls:

51.0ms	(*.f64 x #s(literal 1/2 binary64))
46.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
34.0ms	z
32.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
32.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`t`
99.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.8%	1	`(*.f64 z #s(literal 2 binary64))`
99.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.8%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes483.0ms (1.3%)

Memory

-8.4MiB live, 586.1MiB allocated

Counts

85 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
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#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
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#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(approx (+ ( y y) (* -1/4 (* x x))) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 y (fma.f64 #s(literal 8 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/48 binary64) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 t (.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Calls

13 calls:

145.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
42.0ms	t
37.0ms	x
28.0ms	(*.f64 x #s(literal 1/2 binary64))
27.0ms	y

Results

Accuracy	Segments	Branch
95.7%	1	`x`
95.7%	1	`y`
95.7%	1	`z`
95.7%	1	`t`
95.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
95.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
95.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
95.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
95.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
95.7%	1	`(*.f64 z #s(literal 2 binary64))`
95.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
95.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
95.7%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes1.3s (3.5%)

Memory

5.4MiB live, 528.3MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(approx (+ ( y y) (* -1/4 (* x x))) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Calls

13 calls:

885.0ms	x
66.0ms	z
48.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
40.0ms	t
36.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
95.1%	1	`x`
95.1%	1	`z`
95.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
95.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
95.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
95.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
95.1%	1	`(*.f64 z #s(literal 2 binary64))`
95.1%	1	`y`
95.1%	1	`t`
95.1%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
95.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
95.1%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
95.1%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes1.1s (3%)

Memory

29.9MiB live, 569.8MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(approx (+ ( y y) (* -1/4 (* x x))) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Calls

13 calls:

865.0ms	(*.f64 t t)
22.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
22.0ms	t
21.0ms	x
21.0ms	y

Results

Accuracy	Segments	Branch
93.8%	1	`x`
93.8%	1	`y`
93.8%	1	`z`
93.8%	1	`t`
93.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
93.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
93.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
93.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
93.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.8%	1	`(*.f64 z #s(literal 2 binary64))`
93.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
93.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
93.8%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes235.0ms (0.6%)

Memory

-35.2MiB live, 333.5MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/8 binary64))))))

Calls

13 calls:

46.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
32.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
17.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
15.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
87.7%	1	`x`
92.2%	2	`t`
89.9%	2	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
87.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
92.2%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
92.2%	2	`(*.f64 t t)`
87.7%	1	`y`
87.7%	1	`z`
87.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
87.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
87.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
87.7%	1	`(*.f64 z #s(literal 2 binary64))`
92.2%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes61.0ms (0.2%)

Memory

35.8MiB live, 110.6MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp ( 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx ( (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))

(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))

Calls

5 calls:

13.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
12.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
12.0ms	t
11.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
11.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
87.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
87.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
91.4%	3	`t`
91.4%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
91.4%	3	`(*.f64 t t)`

Compiler

Compiled 52 to 39 computations (25% saved)

regimes122.0ms (0.3%)

Memory

-6.5MiB live, 151.6MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Calls

12 calls:

12.0ms	z
12.0ms	(*.f64 t t)
11.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
10.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
10.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
87.7%	1	`x`
87.7%	1	`z`
87.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
87.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
87.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
87.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
87.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
87.7%	1	`(*.f64 z #s(literal 2 binary64))`
87.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
87.7%	1	`t`
87.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
87.7%	1	`(*.f64 t t)`

Compiler

Compiled 107 to 84 computations (21.5% saved)

regimes151.0ms (0.4%)

Memory

-6.9MiB live, 155.3MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

13 calls:

50.0ms	(*.f64 t t)
15.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
9.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
8.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
8.0ms	y

Results

Accuracy	Segments	Branch
84.0%	1	`y`
84.0%	1	`t`
84.0%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
84.0%	1	`(*.f64 t t)`
84.0%	1	`x`
84.0%	1	`z`
84.0%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
84.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
84.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
84.0%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.0%	1	`(*.f64 z #s(literal 2 binary64))`
84.0%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes129.0ms (0.4%)

Memory

15.4MiB live, 130.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

54.0ms	y
9.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
9.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
6.0ms	z
6.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
66.5%	3	`x`
66.5%	3	`(*.f64 x #s(literal 1/2 binary64))`
63.3%	3	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
59.9%	1	`z`
71.7%	3	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
59.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
59.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
59.9%	1	`(*.f64 z #s(literal 2 binary64))`
74.8%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
66.8%	3	`y`
74.8%	2	`t`
74.8%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
74.8%	2	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes87.0ms (0.2%)

Memory

-18.8MiB live, 138.8MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

13 calls:

25.0ms	z
8.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
7.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
7.0ms	(*.f64 t t)
5.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
57.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
57.6%	1	`z`
57.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
57.6%	1	`(*.f64 z #s(literal 2 binary64))`
57.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
57.6%	1	`x`
57.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
57.6%	1	`y`
57.6%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
57.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
57.6%	1	`t`
57.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
57.6%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes46.0ms (0.1%)

Memory

14.7MiB live, 51.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

13 calls:

22.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
30.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
44.7%	3	`y`
35.4%	2	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
45.2%	3	`x`
35.4%	2	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
35.0%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
45.2%	3	`(*.f64 x #s(literal 1/2 binary64))`
35.0%	3	`z`
35.0%	3	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
35.0%	3	`(*.f64 z #s(literal 2 binary64))`
37.1%	4	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
37.1%	4	`(*.f64 t t)`
38.0%	4	`t`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes18.0ms (0.1%)

Memory

6.3MiB live, 43.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

12 calls:

3.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
1.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1.0ms	t
1.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
30.9%	1	`z`
30.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
30.9%	1	`(*.f64 z #s(literal 2 binary64))`
30.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
30.9%	1	`(*.f64 t t)`
30.9%	1	`t`
30.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
30.9%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
30.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
30.9%	1	`y`
30.9%	1	`x`
30.9%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 102 to 80 computations (21.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00615502164110854	6.2903921520346495

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.515700831891303e+253	2.924981766634539e+277
0.0ms	2.7259921341292373e+139	2.023693617178211e+147

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.036824344423356e-9	2.051725146397082e-7

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8668298487036575e-13	0.002189744979784664
0.0ms	-9.360390670901387e+19	-21947886460.075573

Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify122.0ms (0.3%)

Memory

-20.0MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative_binary64`
14×	`sub-neg_binary64`
12×	`+-commutative_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	592
1	173	592
2	186	592
3	200	592
4	207	592
5	211	592
6	212	592

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(if (<=.f64 (.f64 t t) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) #s(approx ( (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3022314549036573/302231454903657293676544 binary64)) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -50000000000000000000 binary64)) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(approx (+ ( (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ ( t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) #s(approx ( (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (neg.f64 y) #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 y #s(approx (exp (* 1/2 (* t t))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3022314549036573/302231454903657293676544 binary64)) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 t t) #s(literal 3022314549036573/302231454903657293676544 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -50000000000000000000 binary64)) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -50000000000000000000 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 #s(approx ( (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (* (- (* x 1/2) y) (exp (/ (* t t) 2))) #s(approx (- (* 1/2 x) y) (neg.f64 y))))

soundness1.7s (4.7%)

Memory

19.5MiB live, 1 495.0MiB allocated

Rules

18 894×	`lower-fma.f64`
18 894×	`lower-fma.f32`
12 562×	`lower-fma.f64`
12 562×	`lower-fma.f32`
10 354×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	252
0	76	239
1	212	232
2	1033	232
0	8653	231
0	618	11885
1	1960	9999
2	6568	9483
0	8076	9299
0	359	12148
1	1177	10262
2	3956	9339
0	8080	9206
0	136	2087
1	454	1608
2	1580	1515
3	4468	1512
0	8848	1500
0	60	418
0	102	386
1	306	365
2	1529	365
0	8416	365
0	252	12318
1	845	10471
2	2949	9377
3	7659	9377
0	8264	9174
0	59	433
0	100	416
1	342	413
2	2022	413
0	8288	413
0	15	42
0	24	40
1	63	39
2	285	39
3	2343	39
0	8616	39

Stop Event

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

Compiler

Compiled 1 419 to 808 computations (43.1% saved)

preprocess200.0ms (0.6%)

Memory: -11.7MiB live, 224.1MiB allocated
Remove: (abs t)
Compiler: Compiled 1 006 to 390 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze150.0ms (0.4%)

sample20.0s (55.1%)

explain161.0ms (0.4%)

preprocess124.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (0.2%)

localize43.0ms (0.1%)

series24.0ms (0.1%)

simplify580.0ms (1.6%)

rewrite490.0ms (1.3%)

eval199.0ms (0.5%)

prune330.0ms (0.9%)

simplify864.0ms (2.4%)

localize437.0ms (1.2%)

series112.0ms (0.3%)

simplify631.0ms (1.7%)

rewrite438.0ms (1.2%)

eval486.0ms (1.3%)

prune573.0ms (1.6%)

simplify183.0ms (0.5%)

localize185.0ms (0.5%)

series55.0ms (0.2%)

simplify583.0ms (1.6%)

rewrite378.0ms (1%)

eval283.0ms (0.8%)

prune341.0ms (0.9%)

simplify174.0ms (0.5%)

localize275.0ms (0.8%)

series176.0ms (0.5%)

simplify643.0ms (1.8%)

rewrite588.0ms (1.6%)

eval238.0ms (0.7%)

prune320.0ms (0.9%)

regimes425.0ms (1.2%)

regimes483.0ms (1.3%)

regimes1.3s (3.5%)

regimes1.1s (3%)

regimes235.0ms (0.6%)

regimes61.0ms (0.2%)

regimes122.0ms (0.3%)

regimes151.0ms (0.4%)

regimes129.0ms (0.4%)

regimes87.0ms (0.2%)

regimes46.0ms (0.1%)

regimes18.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify122.0ms (0.3%)

soundness1.7s (4.7%)

preprocess200.0ms (0.6%)

end0.0ms (0%)

Profiling