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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze120.0ms (0.7%)

Memory

-18.3MiB live, 309.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
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)

sample2.2s (12.2%)

Memory

31.6MiB live, 2 245.1MiB allocated

Samples

1.0s	8 256×	0	valid
517.0ms	2 032×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 750.0ms

ival-mult: 347.0ms (46.3% of total)

ival-div: 139.0ms (18.5% of total)

ival-exp: 97.0ms (12.9% of total)

ival-sqrt: 83.0ms (11.1% of total)

ival-sub: 61.0ms (8.1% of total)

exact: 10.0ms (1.3% of total)

ival-true: 8.0ms (1.1% of total)

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

Bogosity

explain448.0ms (2.5%)

Memory

-14.8MiB live, 180.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	3	0
-	1	252

Precision

0.75

Recall

1.0

Confusion?

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

Precision?

0.75

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

114.0ms

512×

valid

Compiler

Compiled 149 to 49 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-exp: 67.0ms (71.9% of total)

ival-mult: 15.0ms (16.1% of total)

ival-sqrt: 4.0ms (4.3% of total)

ival-sub: 3.0ms (3.2% of total)

ival-div: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess246.0ms (1.4%)

Memory

-17.1MiB live, 114.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs t)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify201.0ms (1.1%)

Memory

7.6MiB live, 80.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize207.0ms (1.2%)

Memory

-4.0MiB live, 79.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

114.0ms

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: 7.0ms (47.5% of total)

ival-div: 2.0ms (13.6% of total)

ival-exp: 2.0ms (13.6% of total)

ival-sqrt: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.1%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>

Calls

12 calls:

Time	Variable		Point	Expression
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	@	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	@	-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	x	@	-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)))

simplify821.0ms (4.6%)

Memory

-40.6MiB live, 493.9MiB 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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (*.f64 t t))))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))

rewrite449.0ms (2.5%)

Memory

8.4MiB live, 439.3MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 413

Calls

Call 1

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

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

eval95.0ms (0.5%)

Memory: 20.7MiB live, 220.4MiB allocated
Compiler: Compiled 20 297 to 1 668 computations (91.8% saved)

prune131.0ms (0.7%)

Memory

0.3MiB live, 229.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	527	18	545
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	528	18	546

Accuracy

100.0%

Counts

546 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
	97.9%	(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	74.6%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
	74.6%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	93.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	84.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
▶	57.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	98.5%	(.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)))))
	98.6%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	90.2%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (*.f64 t t)))))
	84.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
	99.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
	91.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
	57.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
▶	62.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))

Compiler

Compiled 928 to 608 computations (34.5% saved)

simplify219.0ms (1.2%)

Memory

13.9MiB live, 252.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 102×	`lower-fma.f32`
5 096×	`lower-fma.f64`
3 448×	`lower-*.f32`
3 412×	`lower-*.f64`
1 000×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	418
0	85	412
1	152	412
2	290	408
3	725	408
4	1566	408
5	2159	408
6	2857	408
7	4007	408
8	5371	408
9	7089	408
10	7775	408
0	8051	408

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (1%)

Memory

-6.7MiB live, 404.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))
accuracy	0.23832409603164006	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
accuracy	3.2968626149812352	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
accuracy	13.19120322455224	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
accuracy	0.02784876178494128	(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
accuracy	0.09375	(.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (neg.f64 y)))
accuracy	0.224941259768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
accuracy	23.846683264240298	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))
accuracy	0.05859375	(.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
accuracy	0.2421875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.2421875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 z (exp.f64 (.f64 t t)))
accuracy	0.0289429333442879	(exp.f64 (*.f64 t t))
accuracy	0.11328125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
accuracy	0.23832409603164006	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))

Samples

92.0ms

256×

valid

Compiler

Compiled 383 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 31.0ms (56.2% of total)

ival-sqrt: 7.0ms (12.7% of total)

ival-exp: 6.0ms (10.9% of total)

ival-add: 4.0ms (7.3% of total)

ival-div: 3.0ms (5.4% of total)

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

exact: 1.0ms (1.8% of total)

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

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

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

series141.0ms (0.8%)

Memory

-27.3MiB live, 208.9MiB allocated

Counts

23 → 600

Calls

Call 1

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

Outputs
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/8 (* (* y (sqrt 2)) (sqrt z))) (* -1/48 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))))>
#<alt (* -1 (* y (sqrt z)))>
#<alt (+ (* -1 (* y (sqrt z))) (* -1/2 (* (* (pow t 2) y) (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* (pow t 2) (+ (* -1/2 (* y (sqrt z))) (* -1/8 (* (* (pow t 2) y) (sqrt z))))))>
#<alt (+ (* -1 (* y (sqrt z))) (* (pow t 2) (+ (* -1/2 (* y (sqrt z))) (* (pow t 2) (+ (* -1/8 (* y (sqrt z))) (* -1/48 (* (* (pow t 2) y) (sqrt z))))))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))>
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))>
#<alt 1>
#<alt (+ 1 (pow t 2))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))>
#<alt z>
#<alt (+ z (* (pow t 2) z))>
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))>
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* 1/2 t)>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))>
#<alt (+ (* 1/2 (* (/ (* (pow t 2) (sqrt 2)) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))))>
#<alt (+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* 1/8 (pow t 3))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
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#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))>
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* -1 (/ (+ (* -8 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 16 (* (/ (* (pow y 3) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))) x))>

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	((* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (- (* x 1/2) y) (* x 1/2) (sqrt (* 2 (* z (exp (* t t))))) (* (* (- (* 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))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (- (* x (* x 1/4)) (* y y)) (* x (* x 1/4)) (* x 1/4) (exp (* t t)) (* z (exp (* t t))) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (* 1/2 (* t t))) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)))
12.0ms	y	@	0	((* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (- (* x 1/2) y) (* x 1/2) (sqrt (* 2 (* z (exp (* t t))))) (* (* (- (* 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))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (- (* x (* x 1/4)) (* y y)) (* x (* x 1/4)) (* x 1/4) (exp (* t t)) (* z (exp (* t t))) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (* 1/2 (* t t))) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)))
11.0ms	t	@	0	((* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (- (* x 1/2) y) (* x 1/2) (sqrt (* 2 (* z (exp (* t t))))) (* (* (- (* 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))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (- (* x (* x 1/4)) (* y y)) (* x (* x 1/4)) (* x 1/4) (exp (* t t)) (* z (exp (* t t))) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (* 1/2 (* t t))) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)))
8.0ms	t	@	inf	((* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (- (* x 1/2) y) (* x 1/2) (sqrt (* 2 (* z (exp (* t t))))) (* (* (- (* 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))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (- (* x (* x 1/4)) (* y y)) (* x (* x 1/4)) (* x 1/4) (exp (* t t)) (* z (exp (* t t))) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (* 1/2 (* t t))) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)))
7.0ms	z	@	-inf	((* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (- (* x 1/2) y) (* x 1/2) (sqrt (* 2 (* z (exp (* t t))))) (* (* (- (* 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))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (- (* x (* x 1/4)) (* y y)) (* x (* x 1/4)) (* x 1/4) (exp (* t t)) (* z (exp (* t t))) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (* 1/2 (* t t))) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)))

simplify606.0ms (3.4%)

Memory

18.2MiB live, 648.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 776×	`lower-fma.f64`
11 776×	`lower-fma.f32`
10 238×	`lower-*.f64`
10 238×	`lower-*.f32`
2 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	10426
1	1718	10130
2	6003	9435
0	8446	9171

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

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

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

rewrite391.0ms (2.2%)

Memory

-8.0MiB live, 672.9MiB allocated

Rules

6 664×	`lower-fma.f32`
6 658×	`lower-fma.f64`
5 134×	`lower-*.f32`
5 098×	`lower-*.f64`
4 622×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	261
0	85	243
1	232	237
2	1267	237
0	8655	237

Stop Event

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

Counts

23 → 922

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 y (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))))))
(-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (.f64 y y) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))
(fma.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (neg.f64 y)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (neg.f64 y))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (neg.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (.f64 (neg.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (neg.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (.f64 (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))))
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eval325.0ms (1.8%)

Memory: 20.8MiB live, 520.2MiB allocated
Compiler: Compiled 72 493 to 3 303 computations (95.4% saved)

prune456.0ms (2.6%)

Memory

-20.2MiB live, 479.9MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	2 020	36	2 056
Fresh	10	3	13
Picked	4	1	5
Done	0	0	0
Total	2 034	40	2 074

Accuracy

100.0%

Counts

2 074 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	57.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	19.7%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	45.2%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	84.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
	57.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
	54.8%	(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	26.6%	(.f64 (.f64 (fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	25.2%	(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	49.4%	(.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	92.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	93.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	57.8%	(.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 t (/.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) t) (-.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 t t) #s(literal 1/16 binary64)))) #s(literal 1 binary64))))
▶	93.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	91.7%	(.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 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 t (.f64 (*.f64 t t) #s(literal 1/8 binary64)))) #s(literal 1 binary64))))
▶	84.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
✓	57.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	98.6%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	57.5%	(.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)))
	56.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	59.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	54.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	30.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
▶	93.8%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	63.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	60.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	57.5%	#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	90.2%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (*.f64 t t)))))
	59.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y)))))
	57.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y)))))
	50.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)))))
	48.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 (sqrt.f64 z) y)))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))

Compiler

Compiled 1 995 to 1 321 computations (33.8% saved)

simplify393.0ms (2.2%)

Memory

23.4MiB live, 138.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 948×	`lower-fma.f32`
4 936×	`lower-fma.f64`
3 230×	`lower-*.f32`
3 196×	`lower-*.f64`
1 332×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	505
0	86	492
1	175	492
2	332	489
3	700	489
4	1340	489
5	1733	489
6	2130	489
7	2865	489
8	4138	489
9	4887	489
10	5048	489
11	5075	489
12	5085	489
13	5085	489
14	5389	489
15	5472	489
16	5528	489
17	5563	489
18	5596	489
19	5617	489
20	5623	489
21	5623	489
22	5623	489
23	6103	489
24	6315	489
25	6315	489
26	6315	489
27	6315	489
28	6315	489
29	6315	489
30	6322	489
0	6322	489

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize181.0ms (1%)

Memory

2.4MiB live, 197.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
accuracy	0.2421875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
accuracy	5.451772852243902	#s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.060878759768442016	(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.1171875	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.2421875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))
accuracy	30.104746009632056	#s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t))
accuracy	0.2421875	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	31.700736435482664	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
accuracy	0.0078125	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))))
accuracy	0.02784876178494128	(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
accuracy	0.11328125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))

Samples

103.0ms

256×

valid

Compiler

Compiled 394 to 47 computations (88.1% saved)

Precisions

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

ival-mult: 30.0ms (53.5% of total)

ival-add: 10.0ms (17.8% of total)

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

const: 4.0ms (7.1% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.2%)

Memory

13.5MiB live, 56.0MiB allocated

Counts

22 → 552

Calls

Call 1

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

Outputs
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (- (* 1/2 x) y)>
#<alt (- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)>
#<alt (- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)>
#<alt (- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
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#<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))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* x (exp (* 1/2 (pow t 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	z	@	-inf	((* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (* (* (- (* 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))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (* 1/2 (* t t))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8))
2.0ms	t	@	inf	((* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (* (* (- (* 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))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (* 1/2 (* t t))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8))
2.0ms	t	@	-inf	((* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (* (* (- (* 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))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (* 1/2 (* t t))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8))
2.0ms	z	@	0	((* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (* (* (- (* 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))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (* 1/2 (* t t))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8))
2.0ms	z	@	inf	((* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (* (* (- (* 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))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (* 1/2 (* t t))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (* t (+ (* (* t t) 1/8) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8))

simplify342.0ms (1.9%)

Memory

-2.6MiB live, 377.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 092×	`lower-fma.f64`
15 092×	`lower-fma.f32`
7 190×	`lower-*.f64`
7 190×	`lower-*.f32`
3 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	8074
1	731	7996
2	2460	7242
3	6137	7242
0	8415	7149

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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

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

rewrite604.0ms (3.4%)

Memory

-175.7MiB live, 392.9MiB allocated

Rules

5 466×	`lower-*.f32`
5 432×	`lower-*.f64`
4 392×	`lower-/.f64`
4 392×	`lower-/.f32`
4 234×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	324
0	86	309
1	288	307
2	1585	307
0	8241	307

Stop Event

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

Counts

22 → 337

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (neg.f64 y))) (.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (-.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 y y) (.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 y y))) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))
(.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/110592 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal 1/64 binary64)) (.f64 (*.f64 t t) #s(literal 1/384 binary64)))))
(.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/110592 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)) (.f64 (.f64 t t) #s(literal 1/384 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/110592 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal 1/64 binary64)) (.f64 (*.f64 t t) #s(literal 1/384 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64)))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64))))))

eval148.0ms (0.8%)

Memory: 24.2MiB live, 330.9MiB allocated
Compiler: Compiled 35 126 to 1 739 computations (95% saved)

prune170.0ms (1%)

Memory

-5.3MiB live, 284.1MiB allocated

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	1 200	26	1 226
Fresh	12	22	34
Picked	4	1	5
Done	1	0	1
Total	1 217	49	1 266

Accuracy

100.0%

Counts

1 266 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	36.8%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
	57.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	19.7%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	45.2%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)))
	94.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
▶	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	85.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
	84.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
	57.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
	49.4%	(.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	67.7%	(.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 t (.f64 t (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	93.3%	(.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 t (.f64 t (fma.f64 (.f64 t t) #s(approx (+ (* (* t t) 1/48) 1/8) (.f64 (.f64 t t) #s(literal 1/48 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	98.6%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	57.5%	(.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)))
	14.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 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)))
	30.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (.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)))
	56.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	59.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	54.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	49.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
	56.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	48.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
✓	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	95.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	56.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	57.5%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	87.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	58.6%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	45.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	63.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	90.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	60.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	49.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	55.9%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	48.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
	95.7%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (.f64 t t) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
▶	57.6%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	57.5%	#s(approx (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	57.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y)))))
	50.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)))))
▶	48.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 (sqrt.f64 z) y)))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))

Compiler

Compiled 2 535 to 1 631 computations (35.7% saved)

simplify140.0ms (0.8%)

Memory

24.8MiB live, 179.1MiB 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 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)))
cost-diff	0	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
cost-diff	128	(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
cost-diff	832	(fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff	0	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff	320	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
cost-diff	384	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
cost-diff	1792	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))

Rules

4 970×	`lower-fma.f32`
4 960×	`lower-fma.f64`
4 462×	`lower-*.f32`
4 422×	`lower-*.f64`
1 642×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	563
0	111	589
1	210	575
2	483	512
3	1510	502
4	4859	499
0	8381	499

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (1.5%)

Memory

-23.8MiB live, 210.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7070271216604117	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
accuracy	1.4754615114297784	(.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
accuracy	6.317392205400418	(.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
accuracy	31.175474330407926	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.060878759768442016	(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.11328125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	7.887390673074915	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.224941259768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))))
accuracy	4.017672545412803	(.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))
accuracy	14.371082340554498	#s(approx (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))
accuracy	23.846683264240298	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
accuracy	0.1171875	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
accuracy	30.489854239985746	#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	0.04296875	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
accuracy	0.171875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
accuracy	0.2421875	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.7070271216604117	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Samples

156.0ms

256×

valid

Compiler

Compiled 444 to 59 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 72.0ms (58.9% of total)

ival-sub: 12.0ms (9.8% of total)

ival-add: 11.0ms (9% of total)

ival-neg: 11.0ms (9% of total)

ival-sqrt: 7.0ms (5.7% of total)

ival-div: 5.0ms (4.1% of total)

ival-exp: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series128.0ms (0.7%)

Memory

24.8MiB live, 95.9MiB allocated

Counts

27 → 756

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (- (* 1/2 x) y)>
#<alt (- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)>
#<alt (- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)>
#<alt (- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/8 (* (* y (sqrt 2)) (sqrt z))) (* -1/48 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))))>
#<alt (* -1 (* y (sqrt z)))>
#<alt (+ (* -1 (* y (sqrt z))) (* -1/2 (* (* (pow t 2) y) (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* (pow t 2) (+ (* -1/2 (* y (sqrt z))) (* -1/8 (* (* (pow t 2) y) (sqrt z))))))>
#<alt (+ (* -1 (* y (sqrt z))) (* (pow t 2) (+ (* -1/2 (* y (sqrt z))) (* (pow t 2) (+ (* -1/8 (* y (sqrt z))) (* -1/48 (* (* (pow t 2) y) (sqrt z))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1 (* y (sqrt z)))>
#<alt (+ (* -1 (* y (sqrt z))) (* -1/2 (* (* (pow t 2) y) (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* -1/2 (* (* (pow t 2) y) (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* -1/2 (* (* (pow t 2) y) (sqrt z))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* -1 (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1/2 (* (* (pow t 2) y) (sqrt z)))>
#<alt (* (pow t 2) (+ (* -1 (* (/ y (pow t 2)) (sqrt z))) (* -1/2 (* y (sqrt z)))))>
#<alt (* (pow t 2) (+ (* -1 (* (/ y (pow t 2)) (sqrt z))) (* -1/2 (* y (sqrt z)))))>
#<alt (* (pow t 2) (+ (* -1 (* (/ y (pow t 2)) (sqrt z))) (* -1/2 (* y (sqrt z)))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
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#<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))))>
#<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))))>
#<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))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* (/ (* y (sqrt 2)) x) (sqrt z))>
#<alt (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) x)>
#<alt (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) x)>
#<alt (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ y x))) (* 2 (/ y x)))>
#<alt (- (+ 1 (+ (* -2 (/ y x)) (* -2 (/ (* y (- (* -2 y) (* 2 y))) (pow x 2))))) (* 2 (/ y x)))>
#<alt (- (+ 1 (+ (* -2 (/ y x)) (* 4 (/ (* (pow y 2) (- (* -2 y) (* 2 y))) (pow x 3))))) (+ (* 2 (/ y x)) (* 2 (/ (* y (- (* -2 y) (* 2 y))) (pow x 2)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* 1/2 (* x (exp (* 1/2 (pow t 2)))))>
#<alt (* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))>
#<alt (* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))>
#<alt (* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/2 (sqrt 2))>
#<alt (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))>
#<alt (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))>
#<alt (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* -1/2 (* (sqrt z) (sqrt 2)))>
#<alt (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))>
#<alt (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))>
#<alt (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ y x))) (* 2 (/ y x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* 2 y))) (* 2 (/ (* y (- (* -2 y) (* 2 y))) x))) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -2 y) (* 2 y))) (* -1 (/ (+ (* -2 (* y (- (* -2 y) (* 2 y)))) (* 4 (/ (* (pow y 2) (- (* -2 y) (* 2 y))) x))) x))) x)))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* x (exp (* 1/2 (pow t 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/2 (sqrt 2))>
#<alt (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))>
#<alt (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))>
#<alt (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1/2 (* (sqrt z) (sqrt 2)))>
#<alt (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))>
#<alt (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))>
#<alt (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))>

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	((* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (* (* (* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (- (* 1/2 x) y) (* 1/2 x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (* (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))) (neg x)) (* (* (- (* 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) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (sqrt (* 2 z)) (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (exp (/ (* t t) 2)) (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))))
6.0ms	z	@	-inf	((* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (* (* (* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (- (* 1/2 x) y) (* 1/2 x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (* (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))) (neg x)) (* (* (- (* 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) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (sqrt (* 2 z)) (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (exp (/ (* t t) 2)) (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))))
5.0ms	z	@	0	((* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (* (* (* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (- (* 1/2 x) y) (* 1/2 x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (* (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))) (neg x)) (* (* (- (* 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) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (sqrt (* 2 z)) (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (exp (/ (* t t) 2)) (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))))
4.0ms	y	@	inf	((* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (* (* (* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (- (* 1/2 x) y) (* 1/2 x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (* (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))) (neg x)) (* (* (- (* 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) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (sqrt (* 2 z)) (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (exp (/ (* t t) 2)) (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))))
4.0ms	y	@	-inf	((* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y))) (* (* (* (+ (* x 1/2) y) (* (- (* x 1/2) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (- (* 1/2 x) y) (* 1/2 x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (- (* x 1/2) y) (* x 1/2) (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (* (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))) (neg x)) (* (* (- (* 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) y) (/ 1 (+ (* x 1/2) y)))) (sqrt (* z 2))) (sqrt (* 2 z)) (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (exp (/ (* t t) 2)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (exp (/ (* t t) 2)) (* (sqrt z) (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2))))

simplify474.0ms (2.7%)

Memory

-18.3MiB live, 344.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 142×	`lower-fma.f64`
14 142×	`lower-fma.f32`
6 842×	`lower-*.f64`
6 842×	`lower-*.f32`
3 282×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	11896
1	1411	11531
2	4883	10301
0	8239	10131

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

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

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

rewrite551.0ms (3.1%)

Memory

35.5MiB live, 425.1MiB allocated

Rules

4 530×	`lower-fma.f32`
4 520×	`lower-fma.f64`
4 260×	`lower-/.f32`
4 254×	`lower-/.f64`
4 222×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	447
0	111	436
1	321	391
2	1768	391
0	8547	391

Stop Event

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

Counts

27 → 1 058

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)) y) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)) y))
(+.f64 (.f64 y (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 y (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
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eval353.0ms (2%)

Memory: 22.1MiB live, 719.4MiB allocated
Compiler: Compiled 72 108 to 4 344 computations (94% saved)

prune655.0ms (3.7%)

Memory

-20.5MiB live, 865.6MiB allocated

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	2 045	20	2 065
Fresh	13	30	43
Picked	4	1	5
Done	1	0	1
Total	2 063	51	2 114

Accuracy

100.0%

Counts

2 114 → 51

Alt Table

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Status	Accuracy	Program
	49.5%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	36.8%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
	57.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	19.7%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	45.2%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)))
	92.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	94.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	85.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
	58.2%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
	84.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
	57.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
	67.7%	(.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 t (.f64 t (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	93.3%	(.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 t (.f64 t (fma.f64 (.f64 t t) #s(approx (+ (* (* t t) 1/48) 1/8) (.f64 (.f64 t t) #s(literal 1/48 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	57.6%	(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (.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)))
	55.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	54.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	49.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
	56.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	48.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
	57.5%	(.f64 (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	57.5%	(.f64 (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
	95.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	56.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	57.5%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	87.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	45.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	55.9%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	63.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
	57.1%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	62.6%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	90.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	33.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) #s(approx (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	49.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	55.9%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	95.7%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (.f64 t t) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	51.0%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
✓	57.6%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	56.9%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	59.9%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	30.1%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	30.9%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	57.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y)))))
	48.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (fma.f64 t (.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 z))))))
	50.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (fma.f64 t (*.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 z)))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 (sqrt.f64 z) y)))))
	25.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) #s(approx (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 y #s(literal -1/2 binary64))))))))
	30.8%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))))

Compiler

Compiled 3 452 to 1 172 computations (66% saved)

regimes465.0ms (2.6%)

Memory

-2.6MiB live, 708.3MiB allocated

Counts

101 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 (sqrt.f64 z) 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)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.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)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
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(.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 t (/.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) t) (-.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 t t) #s(literal 1/16 binary64)))) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (*.f64 t t)))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

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

Calls

13 calls:

77.0ms	(*.f64 t t)
43.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
40.0ms	(.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))))
36.0ms	y
33.0ms	(*.f64 z #s(literal 2 binary64))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes418.0ms (2.4%)

Memory

26.6MiB live, 690.8MiB allocated

Counts

90 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (sqrt 2) (* (sqrt z) (* (exp (* 1/2 (* t t))) (neg y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (neg.f64 (*.f64 (sqrt.f64 z) 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)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (- (* x 1/2) y) (* (sqrt (* 2 z)) (exp (* 1/2 (* t t))))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (* 1/2 (* t t)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.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)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) #s(approx (* (* (sqrt z) y) (+ (* -1/2 (* t t)) -1)) (.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 y #s(literal -1/2 binary64))))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 y (fma.f64 t (*.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (.f64 (sqrt.f64 z) y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( (sqrt z) (* (exp (* 1/2 (* t t))) (neg y))) (.f64 (fma.f64 t (.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (.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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (*.f64 #s(literal 1/2 binary64) t)) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) #s(approx (+ (* y (/ (sqrt 2) x)) (* (sqrt 2) -1/2)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (.f64 (.f64 t t) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 t #s(approx (* t (+ (* (* t t) 1/8) 1/2)) (.f64 t (.f64 (*.f64 t t) #s(literal 1/8 binary64)))) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 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 t (.f64 t (fma.f64 (.f64 t t) #s(approx (+ (* (* t t) 1/48) 1/8) (.f64 (.f64 t t) #s(literal 1/48 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(approx (exp ( 1/2 (* t t))) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y)))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (.f64 t t) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(.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 t (/.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) t) (-.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 t t) #s(literal 1/16 binary64)))) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (*.f64 t t)))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

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

Calls

13 calls:

48.0ms	(.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))))
45.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
42.0ms	y
33.0ms	x
32.0ms	(*.f64 z #s(literal 2 binary64))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes419.0ms (2.4%)

Memory

-37.1MiB live, 517.6MiB allocated

Counts

89 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

54.0ms	z
52.0ms	t
43.0ms	(*.f64 z #s(literal 2 binary64))
41.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
29.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes321.0ms (1.8%)

Memory

41.4MiB live, 503.0MiB allocated

Counts

65 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

49.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
37.0ms	(*.f64 x #s(literal 1/2 binary64))
29.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
27.0ms	y
21.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.0s (11.2%)

Memory

-2.0MiB live, 509.1MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

891.0ms	z
866.0ms	y
49.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
29.0ms	(*.f64 x #s(literal 1/2 binary64))
23.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.7%	1	`x`
93.7%	2	`t`
91.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
91.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
93.7%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
93.7%	2	`(*.f64 t t)`
91.7%	1	`y`
91.7%	1	`z`
91.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
91.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
91.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
91.7%	1	`(*.f64 z #s(literal 2 binary64))`
93.7%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes193.0ms (1.1%)

Memory

6.2MiB live, 472.3MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

13 calls:

20.0ms	(*.f64 x #s(literal 1/2 binary64))
17.0ms	t
16.0ms	(*.f64 t t)
15.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
14.0ms	y

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes143.0ms (0.8%)

Memory

-18.4MiB live, 283.4MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

19.0ms	z
15.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
12.0ms	(*.f64 x #s(literal 1/2 binary64))
12.0ms	(*.f64 z #s(literal 2 binary64))
12.0ms	t

Results

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

Compiler

Compiled 107 to 84 computations (21.5% saved)

regimes97.0ms (0.5%)

Memory

19.7MiB live, 173.1MiB allocated

Counts

23 → 1

Calls

Call 1

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

Calls

13 calls:

10.0ms	z
9.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
7.0ms	(*.f64 z #s(literal 2 binary64))
7.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes81.0ms (0.5%)

Memory

5.2MiB live, 127.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

8.0ms	(*.f64 z #s(literal 2 binary64))
7.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
6.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
6.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
65.4%	3	`x`
65.4%	3	`(*.f64 x #s(literal 1/2 binary64))`
59.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
59.9%	1	`z`
69.5%	3	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
59.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
59.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
59.9%	1	`(*.f64 z #s(literal 2 binary64))`
72.6%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
63.8%	2	`y`
72.6%	2	`t`
72.6%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
72.6%	2	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes75.0ms (0.4%)

Memory

-49.3MiB live, 97.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

13 calls:

16.0ms	z
6.0ms	(*.f64 x #s(literal 1/2 binary64))
6.0ms	(*.f64 t t)
5.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
5.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes27.0ms (0.1%)

Memory

5.8MiB live, 44.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

13 calls:

4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
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)))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes29.0ms (0.2%)

Memory

-14.3MiB live, 24.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

12 calls:

14.0ms	z
1.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

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

Compiler

Compiled 102 to 80 computations (21.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0030822512186077	23.224228741153453

Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify13.0ms (0.1%)

Memory

10.9MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`*-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	110	554
1	152	554
2	155	554
3	156	554

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (9.8%)

Memory

18.1MiB live, 1 322.5MiB allocated

Rules

18 894×	`lower-fma.f64`
18 894×	`lower-fma.f32`
15 092×	`lower-fma.f64`
15 092×	`lower-fma.f32`
14 142×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	261
0	85	243
1	232	237
2	1267	237
0	8655	237
0	15	42
0	24	40
1	63	39
2	285	39
3	2343	39
0	8616	39
0	530	10426
1	1718	10130
2	6003	9435
0	8446	9171
0	51	324
0	86	309
1	288	307
2	1585	307
0	8241	307
0	425	11896
1	1411	11531
2	4883	10301
0	8239	10131
0	216	8074
1	731	7996
2	2460	7242
3	6137	7242
0	8415	7149
0	136	1611
1	454	1608
2	1583	1515
3	4476	1512
0	8845	1500

Stop Event

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

Compiler

Compiled 1 591 to 811 computations (49% saved)

preprocess96.0ms (0.5%)

Memory: 30.4MiB live, 219.7MiB allocated
Remove: (abs t)
Compiler: Compiled 1 016 to 392 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze120.0ms (0.7%)

sample2.2s (12.2%)

explain448.0ms (2.5%)

preprocess246.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify201.0ms (1.1%)

localize207.0ms (1.2%)

series21.0ms (0.1%)

simplify821.0ms (4.6%)

rewrite449.0ms (2.5%)

eval95.0ms (0.5%)

prune131.0ms (0.7%)

simplify219.0ms (1.2%)

localize180.0ms (1%)

series141.0ms (0.8%)

simplify606.0ms (3.4%)

rewrite391.0ms (2.2%)

eval325.0ms (1.8%)

prune456.0ms (2.6%)

simplify393.0ms (2.2%)

localize181.0ms (1%)

series40.0ms (0.2%)

simplify342.0ms (1.9%)

rewrite604.0ms (3.4%)

eval148.0ms (0.8%)

prune170.0ms (1%)

simplify140.0ms (0.8%)

localize258.0ms (1.5%)

series128.0ms (0.7%)

simplify474.0ms (2.7%)

rewrite551.0ms (3.1%)

eval353.0ms (2%)

prune655.0ms (3.7%)

regimes465.0ms (2.6%)

regimes418.0ms (2.4%)

regimes419.0ms (2.4%)

regimes321.0ms (1.8%)

regimes2.0s (11.2%)

regimes193.0ms (1.1%)

regimes143.0ms (0.8%)

regimes97.0ms (0.5%)

regimes81.0ms (0.5%)

regimes75.0ms (0.4%)

regimes27.0ms (0.1%)

regimes29.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.7s (9.8%)

preprocess96.0ms (0.5%)

end0.0ms (0%)

Profiling