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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze183.0ms (0.5%)

Memory

-14.8MiB live, 103.0MiB 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)

sample21.3s (62%)

Memory

-102.8MiB live, 1 878.1MiB allocated

Samples

11.4s	8 256×	0	valid
9.3s	2 116×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 1.2s (75.6% of total)

ival-exp: 101.0ms (6.4% of total)

ival-sub: 79.0ms (5% of total)

ival-sqrt: 77.0ms (4.9% of total)

ival-div: 65.0ms (4.1% of total)

exact: 49.0ms (3.1% of total)

ival-true: 8.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain190.0ms (0.6%)

Memory

21.2MiB live, 417.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
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))))`
0	-	-	`(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**	1	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	137
↳	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`	overflow	74
↳	`(*.f64 t t)`	overflow	74

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 149 to 49 computations (67.1% saved)

Precisions

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

ival-mult: 21.0ms (59% of total)

ival-div: 4.0ms (11.2% of total)

ival-exp: 4.0ms (11.2% of total)

ival-sqrt: 4.0ms (11.2% of total)

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

exact: 1.0ms (2.8% of total)

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

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

preprocess117.0ms (0.3%)

Memory

0.8MiB live, 92.0MiB 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.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)

simplify65.0ms (0.2%)

Memory

3.4MiB live, 42.7MiB 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 (.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (neg.f64 (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 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
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)
(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

localize117.0ms (0.3%)

Memory

-19.0MiB live, 99.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.006191259768442017	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy	0.18359375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2656229358302058	(.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

29.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (51.8% of total)

ival-div: 2.0ms (12.9% of total)

ival-exp: 2.0ms (12.9% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-sub: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.1%)

Memory

21.2MiB live, 59.1MiB 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 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#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 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#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 (+ (* (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))))))) (taylor 0 t) (#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 (+ (* (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))))))))) (taylor 0 t) (#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 (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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) (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>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) (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>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf y) (#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 (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor -inf y) (#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 (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor -inf y) (#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 (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor -inf y) (#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 (sqrt 2)) (sqrt z))) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 (* -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 (* -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 (* -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 (* -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 (* (* y (sqrt 2)) (sqrt z))) (taylor 0 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>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) (taylor 0 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>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) (taylor 0 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>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#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) 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 (* (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 (sqrt 2)) (sqrt z))) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 (* 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 (* 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 (* 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 (* (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>) () ())) ())
#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 (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (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>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (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>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (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>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (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>) () ())) ())
#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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (sqrt (* z 2)))
2.0ms	z	@	0	((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (sqrt (* z 2)))
2.0ms	y	@	inf	((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (sqrt (* z 2)))
2.0ms	z	@	-inf	((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (sqrt (* z 2)))
2.0ms	z	@	inf	((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (sqrt (* z 2)))

simplify263.0ms (0.8%)

Memory

-7.6MiB live, 308.3MiB 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	1611
1	454	1608
2	1583	1515
3	4476	1512
0	8845	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)))))))
(* (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)))))))))
(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) (* (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))))
(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) (* (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) (* (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))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (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) (* (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))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -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 (* (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 (* (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 (* (* 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))))
(* 1/2 (* (* 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))))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -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 (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)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -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))))))
(* -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)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -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 (* (* 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 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 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 (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)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 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 (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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))

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

rewrite253.0ms (0.7%)

Memory

16.0MiB live, 369.8MiB 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
(.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 (.f64 #s(literal 1/2 binary64) (.f64 t t))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (.f64 t (/.f64 (.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))) (exp.f64 (.f64 t (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) t))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (.f64 #s(literal 1 binary64) t)) (.f64 #s(literal 1/2 binary64) t))
(pow.f64 (exp.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t))
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 t t) #s(literal -1/2 binary64)))
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(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval95.0ms (0.3%)

Memory: -3.7MiB live, 186.1MiB allocated
Compiler: Compiled 20 297 to 1 663 computations (91.8% saved)

prune152.0ms (0.4%)

Memory

-24.1MiB live, 229.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	530	15	545
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	15	546

Accuracy

100.0%

Counts

546 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))
	99.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	99.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
	93.8%	(.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	91.3%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	86.8%	(.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))))
▶	54.0%	(.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)))
	99.3%	(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))))
▶	99.7%	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	62.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	91.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))
▶	88.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
	53.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
	63.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z)) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))
▶	91.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 730 to 474 computations (35.1% saved)

simplify171.0ms (0.5%)

Memory

39.1MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (*.f64 t t))
cost-diff	0	(.f64 (exp.f64 (.f64 t t)) z)
cost-diff	0	(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	1472	(fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 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) (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 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) 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	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))

Rules

7 280×	`lower-fma.f32`
7 274×	`lower-fma.f64`
5 604×	`lower-*.f32`
5 570×	`lower-*.f64`
2 744×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	438
0	79	434
1	150	434
2	369	416
3	1585	416
4	5935	416
0	8390	413

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (0.4%)

Memory

-11.6MiB live, 150.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.009070031620653759	(exp.f64 (*.f64 t t))
accuracy	0.01171875	(.f64 (exp.f64 (.f64 t t)) z)
accuracy	0.142910009768442	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
accuracy	0.44369125976844204	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
accuracy	0.3933825780309542	(.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.44369125976844204	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7716962493307608	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)))
accuracy	5.508067516323014	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.44369125976844204	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7833561569384571	(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
accuracy	1.562589856683056	(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
accuracy	9.095937451839694	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.18359375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2656229358302058	(.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	33.945269427465746	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z))
accuracy	0.009070031620653759	(exp.f64 (*.f64 t t))
accuracy	0.01171875	(.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)
accuracy	0.0703125	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))

Samples

82.0ms

256×

valid

Compiler

Compiled 395 to 43 computations (89.1% saved)

Precisions

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

ival-mult: 34.0ms (60.5% of total)

ival-sqrt: 8.0ms (14.2% of total)

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

ival-exp: 4.0ms (7.1% of total)

ival-sub: 3.0ms (5.3% of total)

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

exact: 1.0ms (1.8% of total)

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

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

series119.0ms (0.3%)

Memory

21.0MiB live, 214.7MiB allocated

Counts

26 → 756

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	t	@	inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (sqrt (* (exp (* t t)) z)) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (* (exp (* t t)) z)) (* (exp (* t t)) z) (exp (* t t)) (* (* 2 (exp (* t t))) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (* (sqrt 2) (- (* 1/2 x) y)))
9.0ms	x	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (sqrt (* (exp (* t t)) z)) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (* (exp (* t t)) z)) (* (exp (* t t)) z) (exp (* t t)) (* (* 2 (exp (* t t))) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (* (sqrt 2) (- (* 1/2 x) y)))
8.0ms	z	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (sqrt (* (exp (* t t)) z)) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (* (exp (* t t)) z)) (* (exp (* t t)) z) (exp (* t t)) (* (* 2 (exp (* t t))) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (* (sqrt 2) (- (* 1/2 x) y)))
7.0ms	x	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (sqrt (* (exp (* t t)) z)) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (* (exp (* t t)) z)) (* (exp (* t t)) z) (exp (* t t)) (* (* 2 (exp (* t t))) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (* (sqrt 2) (- (* 1/2 x) y)))
7.0ms	t	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (sqrt (* (exp (* t t)) z)) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (* (exp (* t t)) z)) (* (exp (* t t)) z) (exp (* t t)) (* (* 2 (exp (* t t))) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (* (sqrt 2) (- (* 1/2 x) y)))

simplify246.0ms (0.7%)

Memory

-31.0MiB live, 297.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 742×	`lower-fma.f64`
8 742×	`lower-fma.f32`
6 076×	`lower-*.f64`
6 076×	`lower-*.f32`
3 742×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	14606
1	1832	13925
2	4498	13320
0	8189	12815

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 755

Calls

Call 1

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

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

rewrite324.0ms (0.9%)

Memory

-2.8MiB live, 273.4MiB allocated

Rules

7 484×	`lower-fma.f32`
7 478×	`lower-fma.f64`
5 354×	`lower-*.f32`
5 320×	`lower-*.f64`
3 166×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	335
0	79	330
1	231	326
2	1278	326
0	8593	326

Stop Event

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

Counts

26 → 752

Calls

Call 1

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

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

eval561.0ms (1.6%)

Memory: 18.1MiB live, 479.5MiB allocated
Compiler: Compiled 66 366 to 3 181 computations (95.2% saved)

prune744.0ms (2.2%)

Memory

14.2MiB live, 387.6MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1 957	25	1 982
Fresh	5	5	10
Picked	5	0	5
Done	0	0	0
Total	1 967	30	1 997

Accuracy

100.0%

Counts

1 997 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.8%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
	55.0%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	99.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
▶	99.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 t t)))) z)))
▶	85.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
	92.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (fma.f64 (.f64 z (fma.f64 t t #s(literal 2 binary64))) (.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
	85.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z)))))
	54.0%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (*.f64 #s(literal 2 binary64) z))))
	53.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (exp (* t t))) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	53.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #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) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	91.3%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	86.8%	(.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))))
	53.9%	(.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)) #s(literal 1 binary64)))
	99.3%	(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))))
	55.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.6%	(.f64 (.f64 #s(approx (- (* x 1/2) 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)))
▶	30.0%	(.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)))
	65.2%	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64)))))
	65.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))) z)))
	63.4%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))
	54.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	87.0%	(.f64 #s(approx (sqrt ( (exp (* t t)) z)) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	53.8%	(.f64 #s(approx (sqrt ( (exp (* t t)) z)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	91.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))
	88.9%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
▶	51.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
	51.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 #s(approx ( (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (.f64 (.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z)))

Compiler

Compiled 1 322 to 894 computations (32.4% saved)

simplify207.0ms (0.6%)

Memory

-23.5MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 242×	`lower-fma.f32`
6 232×	`lower-fma.f64`
5 602×	`lower-*.f32`
5 558×	`lower-*.f64`
1 840×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	510
0	101	503
1	178	495
2	324	487
3	697	487
4	1724	487
5	2452	487
6	3608	487
7	5317	487
8	7609	487
0	8011	487

Stop Event

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

Calls

Call 1

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

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

localize472.0ms (1.4%)

Memory

12.9MiB live, 212.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6912171373068516	(.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
accuracy	3.847637672471852	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y))
accuracy	32.50691451721257	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
accuracy	33.945269427465746	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.7833561569384571	(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	1.562589856683056	(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
accuracy	9.095937451839694	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
accuracy	31.78046012730282	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	0.0078125	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z))
accuracy	0.01171875	(.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)
accuracy	0.0703125	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
accuracy	15.464153762272487	#s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))
accuracy	0.18359375	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2656229358302058	(.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	31.78046012730282	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	33.945269427465746	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 t t)))) z))
accuracy	0.01171875	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 t t)))) z)
accuracy	0.015625	(.f64 #s(literal 2 binary64) (.f64 t t))
accuracy	0.0703125	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 t t)))) z)))

Samples

315.0ms

256×

valid

Compiler

Compiled 445 to 56 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 94.0ms (44% of total)

ival-add: 92.0ms (43% of total)

ival-sqrt: 8.0ms (3.7% of total)

ival-exp: 7.0ms (3.3% of total)

ival-pow: 5.0ms (2.3% of total)

ival-div: 3.0ms (1.4% of total)

ival-sub: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series482.0ms (1.4%)

Memory

21.3MiB live, 219.1MiB allocated

Counts

23 → 660

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
196.0ms	z	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (/ (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* x x) 1/4) (* y (+ (* x 1/2) y)))) (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (* x x) x) (* 2 (* t t)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (* t t)) (* (* 2 (exp (* t t))) z))
105.0ms	x	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (/ (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* x x) 1/4) (* y (+ (* x 1/2) y)))) (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (* x x) x) (* 2 (* t t)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (* t t)) (* (* 2 (exp (* t t))) z))
88.0ms	z	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (/ (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* x x) 1/4) (* y (+ (* x 1/2) y)))) (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (* x x) x) (* 2 (* t t)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (* t t)) (* (* 2 (exp (* t t))) z))
12.0ms	z	@	inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (/ (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* x x) 1/4) (* y (+ (* x 1/2) y)))) (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (* x x) x) (* 2 (* t t)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (* t t)) (* (* 2 (exp (* t t))) z))
10.0ms	t	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (exp (* t t))) z))) (sqrt (* (* 2 (exp (* t t))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (/ (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* x x) 1/4) (* y (+ (* x 1/2) y)))) (* (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (+ (* (* (* x x) x) 1/8) (* (* (neg y) y) y)) (* (* x x) x) (* 2 (* t t)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (* t t)) (* (* 2 (exp (* t t))) z))

simplify526.0ms (1.5%)

Memory

2.4MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 094×	`lower-fma.f64`
6 094×	`lower-fma.f32`
5 830×	`lower-*.f64`
5 830×	`lower-*.f32`
2 528×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	12668
1	1912	12013
2	4882	11529
0	8561	11221

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

rewrite262.0ms (0.8%)

Memory

3.3MiB live, 277.1MiB allocated

Rules

7 252×	`lower-fma.f32`
7 242×	`lower-fma.f64`
4 608×	`lower-*.f32`
4 564×	`lower-*.f64`
4 398×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	334
0	101	321
1	291	284
2	1643	284
0	8255	284

Stop Event

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

Counts

23 → 565

Calls

Call 1

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

Outputs
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (neg.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) y) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) y) y (neg.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)))) (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)))) (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (neg.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) y) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) y) y (neg.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y))) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) y))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (*.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) y))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) #s(literal 2 binary64))) (.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (-.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (neg.f64 y))) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (neg.f64 y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
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(/.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (neg.f64 y) y) y))) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) y) (.f64 (neg.f64 y) y)))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (neg.f64 y) y) y))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) (-.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))) (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (*.f64 (neg.f64 y) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) y) (.f64 (neg.f64 y) y)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (neg.f64 y) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))))
(fma.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (*.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 3/2 binary64)) (.f64 (*.f64 (neg.f64 y) y) y))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 x x) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))))))
(fma.f64 (.f64 y y) (neg.f64 y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 (neg.f64 y) y) y))
(fma.f64 (.f64 (.f64 y y) y) #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 (neg.f64 y) y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (.f64 (.f64 x x) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 (neg.f64 y) (.f64 y y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (*.f64 (neg.f64 y) y) y))
(fma.f64 y (.f64 (neg.f64 y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 (neg.f64 y) y) y))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (-.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))))
(-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))))))
(+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 (neg.f64 y) y) y))
(+.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 t #s(literal 2 binary64)) t)
(.f64 (.f64 t t) #s(literal 2 binary64))
(.f64 t (.f64 t #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 t t))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(.f64 (.f64 z (exp.f64 (*.f64 t t))) #s(literal 2 binary64))
(.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
(.f64 z (.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)))
(.f64 (.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)
(.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) z) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)) z)
(.f64 #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))
(.f64 (.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))
(.f64 z (.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) z))

eval228.0ms (0.7%)

Memory: -20.3MiB live, 451.3MiB allocated
Compiler: Compiled 51 381 to 2 508 computations (95.1% saved)

prune315.0ms (0.9%)

Memory

10.7MiB live, 617.5MiB allocated

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	1 456	18	1 474
Fresh	6	19	25
Picked	4	1	5
Done	0	0	0
Total	1 466	38	1 504

Accuracy

100.0%

Counts

1 504 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.3%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
	55.0%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
▶	99.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	92.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (fma.f64 (.f64 z (fma.f64 t t #s(literal 2 binary64))) (.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
▶	54.0%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	53.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #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) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	91.3%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	86.8%	(.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))))
	53.9%	(.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)) #s(literal 1 binary64)))
	29.9%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	29.9%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	99.3%	(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))))
	14.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.6%	(.f64 (.f64 #s(approx (- (* x 1/2) 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)))
	57.2%	(.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	54.7%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
▶	50.5%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	30.0%	(.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)))
	65.2%	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64)))))
	65.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))) z)))
	65.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))) z)))
	54.9%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
	63.4%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))
	50.1%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
▶	54.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.8%	(.f64 #s(approx (sqrt ( (exp (* t t)) z)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	91.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))
	88.9%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	51.2%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	51.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
▶	51.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z)))
	51.2%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (sqrt.f64 z) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))))
	28.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 #s(approx (+ (* (* t t) 1/2) 1) (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))

Compiler

Compiled 1 689 to 1 127 computations (33.3% saved)

simplify213.0ms (0.6%)

Memory

19.5MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x))
cost-diff	0	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	704	(.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x)
cost-diff	1920	(fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- ( x 1/2) y) (neg.f64 y)))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z))
cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z)))
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)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.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	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.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	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
cost-diff	6144	(pow.f64 (exp.f64 t) t)

Rules

5 224×	`lower-fma.f32`
5 220×	`lower-fma.f64`
4 312×	`lower-*.f32`
4 276×	`lower-*.f64`
1 386×	`lower--.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	58	477
0	91	472
1	156	472
2	289	472
3	703	460
4	1835	448
5	2761	442
6	5746	442
7	7216	442
0	8045	442

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (0.7%)

Memory

-3.5MiB live, 394.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4375	(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y)
accuracy	2.2821294388521465	(fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	6.289314318531036	(.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x)
accuracy	33.945269427465746	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.9630436569384571	(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- ( x 1/2) y) (neg.f64 y)))
accuracy	1.562589856683056	(.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z))
accuracy	9.095937451839694	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z)))
accuracy	31.78046012730282	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	0.18359375	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2656229358302058	(.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) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	15.445821864314802	#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	31.78046012730282	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z)))
accuracy	0.0703125	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
accuracy	33.701758938704785	#s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))
accuracy	0.00390625	(pow.f64 (exp.f64 t) t)
accuracy	0.0078125	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
accuracy	0.01171875	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
accuracy	0.0703125	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Samples

184.0ms

256×

valid

Compiler

Compiled 376 to 50 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-add: 49.0ms (33.4% of total)

ival-pow: 42.0ms (28.6% of total)

ival-mult: 32.0ms (21.8% of total)

ival-sqrt: 8.0ms (5.4% of total)

ival-exp: 7.0ms (4.8% of total)

ival-div: 3.0ms (2% of total)

ival-sub: 2.0ms (1.4% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series271.0ms (0.8%)

Memory

-8.2MiB live, 457.3MiB allocated

Counts

24 → 696

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
89.0ms	z	@	0	((pow (exp t) t) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (sqrt z)) (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (* (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (* (neg (sqrt 2)) y))
49.0ms	z	@	-inf	((pow (exp t) t) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (sqrt z)) (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (* (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (* (neg (sqrt 2)) y))
39.0ms	z	@	inf	((pow (exp t) t) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (sqrt z)) (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (* (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (* (neg (sqrt 2)) y))
9.0ms	x	@	inf	((pow (exp t) t) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (sqrt z)) (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (* (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (* (neg (sqrt 2)) y))
8.0ms	t	@	inf	((pow (exp t) t) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z))) (sqrt (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (sqrt z)) (* (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (* (+ (* (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (* (neg (sqrt 2)) y))

simplify239.0ms (0.7%)

Memory

17.8MiB live, 411.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 456×	`lower-fma.f64`
15 456×	`lower-fma.f32`
8 318×	`lower-*.f64`
8 318×	`lower-*.f32`
2 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	12017
1	1216	11331
2	4632	10202
0	8095	10011

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (pow t 2))
(fma.f64 t t #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))))))
(fma.f64 (.f64 (.f64 t t) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) 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) (+ (* 1/2 (* (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)))))))))
(fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t)))))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))))))
(fma.f64 (.f64 (.f64 t t) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) 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) (+ (* 1/2 (* (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)))))))))
(fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t)))))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z))
(+ (* (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)))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) z)) (.f64 t t)) t) t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 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)))))))))
(fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t)) (*.f64 t t)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t)) (*.f64 t t)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* (sqrt 2) (- (* 1/2 x) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t)) (*.f64 t t)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(.f64 (.f64 (fma.f64 t t #s(literal 1 binary64)) z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (.f64 t t) #s(literal 2 binary64)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 z (.f64 t t)) z) t) t (.f64 z #s(literal 2 binary64))) (.f64 t t) (.f64 z #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z))
(+ (* (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)))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) z)) (.f64 t t)) t) t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 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)))))))))
(fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(.f64 (.f64 (fma.f64 t t #s(literal 1 binary64)) z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (.f64 t t) #s(literal 2 binary64)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 z (.f64 t t)) z) t) t (.f64 z #s(literal 2 binary64))) (.f64 t t) (.f64 z #s(literal 2 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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
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(.f64 (.f64 x (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (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 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y 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 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y 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 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(.f64 (.f64 x (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* 1/2 (* (sqrt z) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))
(.f64 (sqrt.f64 z) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))
(+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))
(.f64 (sqrt.f64 z) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))
(+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))
(.f64 (sqrt.f64 z) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 x (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (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 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y 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 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y 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 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))

rewrite368.0ms (1.1%)

Memory

2.1MiB live, 379.8MiB allocated

Rules

9 910×	`lower-fma.f32`
9 906×	`lower-fma.f64`
6 406×	`lower-*.f32`
6 370×	`lower-*.f64`
2 650×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	368
0	91	359
1	244	346
2	1139	344
0	9008	340

Stop Event

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

Counts

24 → 600

Calls

Call 1

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

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

eval271.0ms (0.8%)

Memory: 2.9MiB live, 301.3MiB allocated
Compiler: Compiled 35 102 to 2 235 computations (93.6% saved)

prune316.0ms (0.9%)

Memory

-5.5MiB live, 476.2MiB allocated

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1 420	21	1 441
Fresh	16	16	32
Picked	3	2	5
Done	1	0	1
Total	1 440	39	1 479

Accuracy

100.0%

Counts

1 479 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.3%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
	56.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	27.5%	(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	92.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (.f64 t t) #s(literal 2 binary64))))))
✓	54.0%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	93.8%	(.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	91.3%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	50.4%	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	29.9%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.2%	(.f64 (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	27.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (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))))
	57.2%	(.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	54.7%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
✓	50.5%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	51.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	65.2%	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64)))))
	55.8%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	55.8%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	65.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	65.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))) z)))
	65.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))) z)))
	54.9%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
	27.6%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	63.4%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))
	50.1%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
	30.0%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
	37.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 z)) (.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 2 binary64)))) x) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) x) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	88.9%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) x)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	27.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	30.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(approx (+ ( (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (neg.f64 y))) x)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	54.8%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(approx (+ ( (* (neg (sqrt 2)) y) (/ (sqrt z) x)) (* (* 1/2 (sqrt z)) (sqrt 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (neg.f64 y))) x)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.8%	(.f64 #s(approx (sqrt ( (exp (* t t)) z)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	92.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t)) (*.f64 t t))))
	88.9%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	29.9%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z)))
	62.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 y (neg.f64 (sqrt.f64 z))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))
	71.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 #s(approx ( (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (- (* x 1/2) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (neg.f64 y))) (sqrt.f64 z)))

Compiler

Compiled 2 434 to 871 computations (64.2% saved)

regimes359.0ms (1%)

Memory

35.9MiB live, 653.9MiB allocated

Counts

80 → 1

Calls

Call 1

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

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

Calls

13 calls:

47.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
38.0ms	(*.f64 x #s(literal 1/2 binary64))
31.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
28.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
25.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`
99.9%	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))))`
99.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.9%	1	`(*.f64 z #s(literal 2 binary64))`
99.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.9%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes319.0ms (0.9%)

Memory

-15.5MiB live, 439.7MiB allocated

Counts

77 → 1

Calls

Call 1

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

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

Calls

13 calls:

55.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
26.0ms	y
23.0ms	t
23.0ms	(*.f64 z #s(literal 2 binary64))
22.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`
99.9%	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))))`
99.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.9%	1	`(*.f64 z #s(literal 2 binary64))`
99.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.9%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes340.0ms (1%)

Memory

-8.2MiB live, 384.7MiB allocated

Counts

74 → 1

Calls

Call 1

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

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

Calls

13 calls:

49.0ms	x
42.0ms	z
30.0ms	(.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))))
24.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
24.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`
99.9%	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))))`
99.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.9%	1	`(*.f64 z #s(literal 2 binary64))`
99.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.9%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes333.0ms (1%)

Memory

-10.9MiB live, 244.7MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

60.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
45.0ms	z
36.0ms	(.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))))
25.0ms	x
23.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.8%	1	`x`
93.8%	1	`y`
93.8%	1	`z`
98.3%	3	`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)))`
98.3%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
98.3%	3	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes224.0ms (0.6%)

Memory

1.9MiB live, 150.5MiB allocated

Counts

61 → 1

Calls

Call 1

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

Outputs

(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))

Calls

6 calls:

63.0ms	(*.f64 t t)
62.0ms	z
36.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
25.0ms	t
17.0ms	(*.f64 z #s(literal 2 binary64))

Results

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

Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes485.0ms (1.4%)

Memory

36.2MiB live, 296.8MiB allocated

Counts

51 → 1

Calls

Call 1

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

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

Calls

13 calls:

85.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
78.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
68.0ms	(*.f64 t t)
66.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
42.0ms	y

Results

Accuracy	Segments	Branch
92.6%	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))))`
92.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
92.6%	1	`x`
92.6%	1	`y`
92.6%	1	`t`
92.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
92.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
92.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
92.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
92.6%	1	`(*.f64 t t)`
92.6%	1	`z`
92.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
92.6%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes138.0ms (0.4%)

Memory

12.2MiB live, 298.8MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

22.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
12.0ms	t
12.0ms	z
11.0ms	x
10.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
88.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
88.9%	1	`x`
88.9%	1	`y`
88.9%	1	`z`
88.9%	1	`t`
88.9%	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))))`
88.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
88.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
88.9%	1	`(*.f64 z #s(literal 2 binary64))`
88.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
88.9%	1	`(*.f64 t t)`
88.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
88.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes117.0ms (0.3%)

Memory

-30.4MiB live, 253.4MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

13 calls:

11.0ms	(*.f64 x #s(literal 1/2 binary64))
10.0ms	(*.f64 t t)
9.0ms	(*.f64 z #s(literal 2 binary64))
9.0ms	t
9.0ms	z

Results

Accuracy	Segments	Branch
85.6%	1	`z`
85.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
85.6%	1	`(*.f64 z #s(literal 2 binary64))`
85.6%	1	`x`
85.6%	1	`t`
85.6%	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))))`
85.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
85.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
85.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
85.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
85.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
85.6%	1	`(*.f64 t t)`
85.6%	1	`y`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes118.0ms (0.3%)

Memory

-1.6MiB live, 195.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

13 calls:

32.0ms	z
9.0ms	y
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
7.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
7.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.6%	1	`y`
85.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
85.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
85.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
85.6%	1	`x`
85.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
85.6%	1	`z`
85.6%	1	`t`
85.6%	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))))`
85.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
85.6%	1	`(*.f64 z #s(literal 2 binary64))`
85.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
85.6%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes94.0ms (0.3%)

Memory

12.7MiB live, 176.0MiB allocated

Counts

20 → 4

Calls

Call 1

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

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

Calls

13 calls:

15.0ms	(*.f64 z #s(literal 2 binary64))
7.0ms	t
7.0ms	x
7.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
7.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
76.6%	5	`y`
65.3%	6	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
63.5%	4	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
76.8%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
74.5%	4	`x`
74.5%	4	`(*.f64 x #s(literal 1/2 binary64))`
61.0%	4	`z`
80.8%	4	`t`
76.0%	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))))`
61.0%	4	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
61.0%	4	`(*.f64 z #s(literal 2 binary64))`
77.3%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
77.3%	2	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes17.0ms (0%)

Memory

-4.7MiB live, 36.1MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(*.f64 t t)
5.0ms	t
5.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.3%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
77.3%	2	`(*.f64 t t)`
77.3%	2	`t`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes78.0ms (0.2%)

Memory

-6.5MiB live, 71.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

38.0ms	(*.f64 x #s(literal 1/2 binary64))
19.0ms	t
4.0ms	x
4.0ms	y
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))))

Results

Accuracy	Segments	Branch
63.8%	3	`x`
63.8%	3	`(*.f64 x #s(literal 1/2 binary64))`
63.3%	3	`y`
68.4%	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))))`
71.0%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
71.0%	2	`t`
71.0%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
71.0%	2	`(*.f64 t t)`

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes46.0ms (0.1%)

Memory

30.2MiB live, 108.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

13 calls:

7.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
6.0ms	(.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))))
3.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
3.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
54.0%	1	`z`
54.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
54.0%	1	`(*.f64 z #s(literal 2 binary64))`
54.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
54.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
54.0%	1	`y`
54.0%	1	`x`
54.0%	1	`(*.f64 x #s(literal 1/2 binary64))`
54.0%	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))))`
54.0%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
54.0%	1	`t`
54.0%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
54.0%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes30.0ms (0.1%)

Memory

4.9MiB live, 80.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

13 calls:

4.0ms	y
3.0ms	(*.f64 t t)
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	z

Results

Accuracy	Segments	Branch
32.0%	2	`z`
32.0%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
32.0%	2	`(*.f64 z #s(literal 2 binary64))`
45.2%	3	`x`
45.2%	3	`(*.f64 x #s(literal 1/2 binary64))`
44.5%	3	`y`
33.1%	2	`t`
30.0%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
31.6%	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))))`
30.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
30.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
30.0%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
30.0%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes18.0ms (0.1%)

Memory

-34.7MiB live, 49.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	(.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))))
3.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(sqrt.f64 (*.f64 z #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 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
30.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
30.0%	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))))`
30.0%	1	`z`
30.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
30.0%	1	`(*.f64 z #s(literal 2 binary64))`
30.0%	1	`t`
30.0%	1	`y`
30.0%	1	`x`
30.0%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.203666496713709e+99	1.698635454695666e+108
0.0ms	9.053671123430177e-21	1.8001769199143578e-12

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch56.0ms (0.2%)

Memory

4.0MiB live, 81.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.817295219471527e+223	5.044321185921645e+227
25.0ms	8.5329378573366e+115	3.371867831992722e+116
6.0ms	399895.3220458927	494338.98007210274

Samples

36.0ms

256×

valid

Compiler

Compiled 665 to 477 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sqrt: 17.0ms (57.8% of total)

ival-mult: 7.0ms (23.8% of total)

ival-div: 2.0ms (6.8% of total)

ival-exp: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	399895.3220458927	494338.98007210274

Compiler

Compiled 132 to 100 computations (24.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.053671123430177e-21	1.8001769199143578e-12

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch41.0ms (0.1%)

Memory

6.7MiB live, 91.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.0885856504003754e+42	2.920626706201606e+46
19.0ms	-3576608.6565751233	-0.0013450341867400149

Samples

23.0ms

272×

valid

Compiler

Compiled 483 to 345 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.7% of total)

ival-exp: 4.0ms (25.1% of total)

ival-sub: 2.0ms (12.6% of total)

ival-div: 2.0ms (12.6% of total)

ival-sqrt: 2.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify21.0ms (0.1%)

Memory

-7.4MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	621
1	167	621
2	170	621
3	171	621

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 t t)))) z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 t t) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))) 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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (.f64 t t) #s(literal 2 binary64))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z)))))
(if (<=.f64 t #s(literal 490000 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 t #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z))) (if (<=.f64 t #s(literal 6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z))))))
(if (<=.f64 t #s(literal 490000 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (*.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -8 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3399999999999999750280910337709527728652288 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 t t)))) z)))
(.f64 (sqrt.f64 (.f64 z (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) z)))
(.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 (.f64 t t)) #s(literal 2 binary64)) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 t t) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))) 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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 (.f64 t t) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 (exp.f64 (.f64 t t)) #s(literal 2 binary64)) z))) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (.f64 t t) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (.f64 t t) #s(literal 2 binary64)) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z)))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 t #s(literal 490000 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 t #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z))) (if (<=.f64 t #s(literal 6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z))))))
(if (<=.f64 t #s(literal 490000 binary64)) (.f64 (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 t #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)) z))) (if (<=.f64 t #s(literal 6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)) z))))))
(if (<=.f64 t #s(literal 490000 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64)))) z))))
(if (<=.f64 t #s(literal 490000 binary64)) (.f64 (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (.f64 #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)) z))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))) z))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (sqrt.f64 (.f64 (.f64 #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))) #s(literal 2 binary64)) z)) #s(approx (- (* 1/2 x) y) (neg.f64 y))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (exp (* t t))) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (exp (* t t))) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -8 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3399999999999999750280910337709527728652288 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -8 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 z #s(literal 2 binary64)))) #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3399999999999999750280910337709527728652288 binary64)) (.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 z #s(literal 2 binary64)))) #s(approx (- ( 1/2 x) y) (neg.f64 y))) (.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 z #s(literal 2 binary64)))) #s(approx (- ( 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp 1/2) (* 2 (* t t)))) z) (.f64 z #s(literal 2 binary64)))) #s(approx (- ( 1/2 x) y) (neg.f64 y)))

soundness1.7s (5.1%)

Memory

46.0MiB live, 1 219.1MiB allocated

Rules

18 894×	`lower-fma.f64`
18 894×	`lower-fma.f32`
15 456×	`lower-fma.f64`
15 456×	`lower-fma.f32`
8 742×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	533	12668
1	1912	12013
2	4882	11529
0	8561	11221
0	60	334
0	101	321
1	291	284
2	1643	284
0	8255	284
0	500	14606
1	1832	13925
2	4498	13320
0	8189	12815
0	15	42
0	24	40
1	63	39
2	285	39
3	2343	39
0	8616	39
0	345	12017
1	1216	11331
2	4632	10202
0	8095	10011
0	136	1611
1	454	1608
2	1583	1515
3	4476	1512
0	8845	1500
0	48	335
0	79	330
1	231	326
2	1278	326
0	8593	326

Stop Event

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

Compiler

Compiled 1 456 to 809 computations (44.4% saved)

preprocess352.0ms (1%)

Memory: -71.5MiB live, 349.4MiB allocated
Remove: (abs t)
Compiler: Compiled 1 358 to 554 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze183.0ms (0.5%)

sample21.3s (62%)

explain190.0ms (0.6%)

preprocess117.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (0.2%)

localize117.0ms (0.3%)

series26.0ms (0.1%)

simplify263.0ms (0.8%)

rewrite253.0ms (0.7%)

eval95.0ms (0.3%)

prune152.0ms (0.4%)

simplify171.0ms (0.5%)

localize121.0ms (0.4%)

series119.0ms (0.3%)

simplify246.0ms (0.7%)

rewrite324.0ms (0.9%)

eval561.0ms (1.6%)

prune744.0ms (2.2%)

simplify207.0ms (0.6%)

localize472.0ms (1.4%)

series482.0ms (1.4%)

simplify526.0ms (1.5%)

rewrite262.0ms (0.8%)

eval228.0ms (0.7%)

prune315.0ms (0.9%)

simplify213.0ms (0.6%)

localize235.0ms (0.7%)

series271.0ms (0.8%)

simplify239.0ms (0.7%)

rewrite368.0ms (1.1%)

eval271.0ms (0.8%)

prune316.0ms (0.9%)

regimes359.0ms (1%)

regimes319.0ms (0.9%)

regimes340.0ms (1%)

regimes333.0ms (1%)

regimes224.0ms (0.6%)

regimes485.0ms (1.4%)

regimes138.0ms (0.4%)

regimes117.0ms (0.3%)

regimes118.0ms (0.3%)

regimes94.0ms (0.3%)

regimes17.0ms (0%)

regimes78.0ms (0.2%)

regimes46.0ms (0.1%)

regimes30.0ms (0.1%)

regimes18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch56.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch41.0ms (0.1%)

simplify21.0ms (0.1%)

soundness1.7s (5.1%)

preprocess352.0ms (1%)

end0.0ms (0%)

Profiling