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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze208.0ms (1.2%)

Memory

-26.2MiB live, 133.5MiB 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)

sample2.5s (14.7%)

Memory

-106.4MiB live, 2 078.6MiB allocated

Samples

1.1s	8 256×	0	valid
390.0ms	2 078×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 493.0ms (49% of total)

ival-sqrt: 201.0ms (20% of total)

ival-sub: 112.0ms (11.1% of total)

ival-div: 96.0ms (9.5% of total)

ival-exp: 81.0ms (8% of total)

exact: 11.0ms (1.1% of total)

ival-true: 9.0ms (0.9% of total)

ival-assert: 5.0ms (0.5% of total)

Bogosity

explain313.0ms (1.8%)

Memory

19.2MiB live, 144.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`	*uo**	1	0
↳	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`	underflow	1
↳	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`	overflow	140
↳	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`	overflow	76
↳	`(*.f64 t t)`	overflow	76

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

109.0ms

512×

valid

Compiler

Compiled 207 to 64 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 73.0ms (82.7% of total)

ival-exp: 4.0ms (4.5% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-sub: 3.0ms (3.4% of total)

ival-div: 3.0ms (3.4% of total)

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

exact: 1.0ms (1.1% of total)

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

preprocess146.0ms (0.9%)

Memory

6.9MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs t)

Compiler

Compiled 17 to 15 computations (11.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify74.0ms (0.4%)

Memory

-31.3MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.3%)

Memory

18.2MiB live, 54.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy	0.00390625	(/.f64 (*.f64 t t) #s(literal 2 binary64))
accuracy	0.21484375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.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

43.0ms

256×

valid

Compiler

Compiled 126 to 32 computations (74.6% saved)

Precisions

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

ival-mult: 7.0ms (47.1% of total)

ival-div: 2.0ms (13.4% of total)

ival-exp: 2.0ms (13.4% of total)

ival-sqrt: 2.0ms (13.4% of total)

ival-sub: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.2%)

Memory

-2.8MiB live, 35.0MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((* (* (- (* 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) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	z	@	0	((* (* (- (* 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) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	z	@	-inf	((* (* (- (* 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) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	x	@	-inf	((* (* (- (* 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) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	t	@	inf	((* (* (- (* 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) (/ (* t t) 2) (exp (/ (* t t) 2)))

simplify461.0ms (2.7%)

Memory

6.8MiB live, 299.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1631
1	446	1628
2	1554	1535
3	4441	1532
0	8859	1520

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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)))))))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* (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))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 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))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 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) (* (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) (* (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)))
(* -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)))))
(* 1/2 (* (* 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)
(* 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)
(* 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)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
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(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 y)
(neg.f64 y)
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(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
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(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
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(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 y)
(neg.f64 y)
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(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
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(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
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(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* 1/2 x)
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(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 x)
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(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
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(* 1/2 x)
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rewrite362.0ms (2.1%)

Memory

-12.5MiB live, 218.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
0	24	44
1	63	43
2	285	43
3	2343	43
0	8617	43

Stop Event

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

Counts

6 → 452

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))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))

Outputs
#<batchref>
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#<batchref>
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eval132.0ms (0.8%)

Memory: 14.2MiB live, 216.5MiB allocated
Compiler: Compiled 18 318 to 1 823 computations (90% saved)

prune80.0ms (0.5%)

Memory

-6.1MiB live, 71.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	580	16	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	581	16	597

Accuracy

100.0%

Counts

597 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	99.8%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	72.1%	(.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	99.3%	(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	99.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
	96.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
▶	93.6%	(.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	83.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	51.3%	(.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)) #s(literal 1 binary64)))
▶	99.4%	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	99.3%	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	56.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	69.6%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	87.4%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
	51.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
	94.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 650 to 530 computations (18.5% saved)

simplify148.0ms (0.9%)

Memory

2.5MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff	1792	(.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))))
cost-diff	6080	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
cost-diff	0	(*.f64 (neg.f64 (sqrt.f64 z)) y)
cost-diff	0	(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #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 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	425
0	87	393
1	143	393
2	280	379
3	952	379
4	4653	379
5	7089	379
0	8325	379

Stop Event

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

Calls

Call 1

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

localize199.0ms (1.2%)

Memory

-3.7MiB live, 356.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))))
accuracy	0.201503759768442	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
accuracy	0.21484375	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy	0.2109375	(*.f64 (neg.f64 (sqrt.f64 z)) y)
accuracy	0.2539041858302058	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy	0.3873825195368841	(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy	25.423632257313514	#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.07259750976844201	(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
accuracy	0.21484375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
accuracy	8.20428297124961	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.21484375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.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	34.419755549990455	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
accuracy	0	(exp.f64 t)
accuracy	0.0078125	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
accuracy	0.1015625	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Samples

134.0ms

256×

valid

Compiler

Compiled 774 to 87 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-pow: 44.0ms (41.9% of total)

ival-mult: 35.0ms (33.4% of total)

ival-exp: 8.0ms (7.6% of total)

ival-sqrt: 7.0ms (6.7% of total)

ival-add: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.9% of total)

ival-div: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series164.0ms (1%)

Memory

6.8MiB live, 360.8MiB allocated

Counts

23 → 624

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	z	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1)) (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (* (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
22.0ms	z	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1)) (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (* (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
10.0ms	z	@	inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1)) (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (* (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
7.0ms	y	@	inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1)) (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (* (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
6.0ms	x	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1)) (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (* (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (* (- (* 1/2 x) y) (pow (+ (* 1/2 x) y) -1))) (sqrt (* z 2))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))

simplify334.0ms (2%)

Memory

3.7MiB live, 401.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	9279
1	1269	9100
2	4299	8211
0	8152	8097

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

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

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

rewrite272.0ms (1.6%)

Memory

-1.9MiB live, 317.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	287
0	87	244
1	227	242
2	1035	239
0	9050	239

Stop Event

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

Counts

23 → 1 927

Calls

Call 1

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

Outputs
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eval727.0ms (4.3%)

Memory: 33.4MiB live, 836.3MiB allocated
Compiler: Compiled 119 505 to 6 153 computations (94.9% saved)

prune99.0ms (0.6%)

Memory

-4.6MiB live, 265.9MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	3 373	28	3 401
Fresh	8	3	11
Picked	5	0	5
Done	0	0	0
Total	3 386	31	3 417

Accuracy

100.0%

Counts

3 417 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1 binary64)))
	94.3%	(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	43.3%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)))
	99.2%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	84.1%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
	51.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	93.5%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (fma.f64 (.f64 (.f64 t #s(literal 1/2 binary64)) t) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 t t)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
	84.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
	51.2%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	47.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	93.5%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))))
▶	51.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))))
	22.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	93.5%	(.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 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
▶	99.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
▶	96.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
▶	93.6%	(.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)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	83.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	51.2%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	66.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
▶	31.1%	(.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)))
	94.9%	(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
	56.9%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	51.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	21.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	66.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	31.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.1%	#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 1 224 to 1 052 computations (14.1% saved)

simplify161.0ms (0.9%)

Memory

-4.2MiB live, 152.1MiB 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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
cost-diff	0	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z))
cost-diff	0	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- (* x 1/2) y) (neg.f64 y))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (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 1/2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	425
0	75	416
1	135	414
2	252	414
3	640	414
4	1709	414
5	3104	414
6	3887	414
7	4839	414
8	6242	414
9	7159	414
10	7245	414
11	7351	414
12	7460	414
0	8464	414

Stop Event

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

Calls

Call 1

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

localize142.0ms (0.8%)

Memory

-7.4MiB live, 145.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy	0.21484375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
accuracy	4.446710449689925	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
accuracy	0.05078125	(.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t)
accuracy	0.21484375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.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 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
accuracy	8.20428297124961	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
accuracy	0.2109375	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z))
accuracy	0.41634544559864783	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))))
accuracy	34.419755549990455	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.21484375	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.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	25.452177560335375	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	34.419755549990455	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0	(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
accuracy	0.00390625	(.f64 (.f64 t t) #s(literal 1/2 binary64))
accuracy	0.21484375	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.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 1/2 binary64))))

Samples

104.0ms

256×

valid

Compiler

Compiled 719 to 80 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 26.0ms (33.9% of total)

ival-sqrt: 19.0ms (24.7% of total)

ival-add: 17.0ms (22.1% of total)

const: 5.0ms (6.5% of total)

ival-exp: 4.0ms (5.2% of total)

ival-sub: 3.0ms (3.9% of total)

ival-div: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series63.0ms (0.4%)

Memory

13.8MiB live, 51.7MiB allocated

Counts

21 → 540

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (+ (* x 1/2) (neg y)) (sqrt z)) (* (sqrt 2) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt z)) (+ (* x 1/2) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (sqrt 2) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (+ (* (* t t) 1/8) 1/2) t) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
2.0ms	t	@	inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (+ (* x 1/2) (neg y)) (sqrt z)) (* (sqrt 2) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt z)) (+ (* x 1/2) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (sqrt 2) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (+ (* (* t t) 1/8) 1/2) t) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
2.0ms	t	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (+ (* x 1/2) (neg y)) (sqrt z)) (* (sqrt 2) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt z)) (+ (* x 1/2) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (sqrt 2) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (+ (* (* t t) 1/8) 1/2) t) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
2.0ms	x	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (+ (* x 1/2) (neg y)) (sqrt z)) (* (sqrt 2) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt z)) (+ (* x 1/2) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (sqrt 2) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (+ (* (* t t) 1/8) 1/2) t) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
2.0ms	z	@	inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (+ (* x 1/2) (neg y)) (sqrt z)) (* (sqrt 2) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt z)) (+ (* x 1/2) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (sqrt 2) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (+ (* (* t t) 1/8) 1/2) t) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))

simplify315.0ms (1.8%)

Memory

-13.1MiB live, 223.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	6877
1	647	6855
2	2202	6388
3	5468	6364
0	8601	6268

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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

rewrite228.0ms (1.3%)

Memory

3.6MiB live, 124.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	261
0	75	251
1	232	249
2	1367	249
0	8634	249

Stop Event

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

Counts

21 → 409

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

Outputs
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eval420.0ms (2.5%)

Memory: 18.5MiB live, 240.9MiB allocated
Compiler: Compiled 35 453 to 1 997 computations (94.4% saved)

prune70.0ms (0.4%)

Memory

6.3MiB live, 167.3MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 321	19	1 340
Fresh	9	17	26
Picked	4	1	5
Done	0	0	0
Total	1 334	37	1 371

Accuracy

100.0%

Counts

1 371 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	94.3%	(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	43.3%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)))
▶	99.4%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
▶	96.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	99.2%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
▶	84.1%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
▶	51.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	84.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
	51.2%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	47.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	96.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
	51.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) #s(approx (* (sqrt 2) (exp (/ (* t t) 2))) (sqrt.f64 #s(literal 2 binary64))))
	83.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	51.2%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	96.1%	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	31.1%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	31.1%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	35.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (neg.f64 y) y) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	53.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	56.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
	53.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
▶	51.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	51.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	69.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
	68.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	66.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	56.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	31.1%	(.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)))
	53.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	51.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	68.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	66.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	51.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	31.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.1%	#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 1 421 to 1 243 computations (12.5% saved)

simplify277.0ms (1.6%)

Memory

-7.0MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 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	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
cost-diff	0	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff	960	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	480
0	85	475
1	150	469
2	271	469
3	564	469
4	1077	469
5	1554	469
6	1934	469
7	2731	469
8	3896	469
9	4631	469
10	5055	469
11	5124	469
12	5197	469
13	5221	469
14	5646	469
15	5814	469
16	5823	469
17	5823	469
18	5823	469
19	5823	469
20	5823	469
21	5826	469
0	5826	468

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize170.0ms (1%)

Memory

-2.1MiB live, 309.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64))
accuracy	0.1015625	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
accuracy	0.11328125	(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy	4.446710449689925	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
accuracy	0.21484375	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	0.2539041858302058	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
accuracy	8.20428297124961	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
accuracy	37.449271341086956	#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))
accuracy	0.1015625	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
accuracy	4.2638401055116715	(fma.f64 (*.f64 t t) z z)
accuracy	15.635652287579134	#s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
accuracy	0.1015625	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
accuracy	34.245501446746474	#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	0.00390625	(.f64 (.f64 t t) #s(literal 1/2 binary64))
accuracy	0.2539041858302058	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
accuracy	0.31640625	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))

Samples

129.0ms

256×

valid

Compiler

Compiled 754 to 92 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 47.0ms (51.1% of total)

ival-pow: 12.0ms (13% of total)

ival-add: 7.0ms (7.6% of total)

ival-exp: 7.0ms (7.6% of total)

ival-sqrt: 6.0ms (6.5% of total)

ival-div: 5.0ms (5.4% of total)

const: 4.0ms (4.3% of total)

ival-sub: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series135.0ms (0.8%)

Memory

2.0MiB live, 196.3MiB allocated

Counts

24 → 624

Calls

Call 1

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

Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (patch (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (patch (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	z	@	inf	((/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (exp (* (* t t) 1/2))) (sqrt (* 2 z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* t t) 1/2) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2))
15.0ms	x	@	0	((/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (exp (* (* t t) 1/2))) (sqrt (* 2 z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* t t) 1/2) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2))
14.0ms	z	@	0	((/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (exp (* (* t t) 1/2))) (sqrt (* 2 z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* t t) 1/2) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2))
10.0ms	z	@	-inf	((/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (exp (* (* t t) 1/2))) (sqrt (* 2 z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* t t) 1/2) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2))
3.0ms	x	@	-inf	((/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (exp (* (* t t) 1/2))) (sqrt (* 2 z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* t t) 1/2) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2))

simplify215.0ms (1.3%)

Memory

9.3MiB live, 299.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	9381
1	1313	9225
2	4343	8381
0	8109	8253

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 623

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

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

rewrite233.0ms (1.4%)

Memory

1.0MiB live, 272.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	343
0	85	337
1	285	332
2	1592	332
0	8240	332

Stop Event

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

Counts

24 → 588

Calls

Call 1

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

Outputs
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eval242.0ms (1.4%)

Memory: 23.7MiB live, 414.1MiB allocated
Compiler: Compiled 42 194 to 3 114 computations (92.6% saved)

prune79.0ms (0.5%)

Memory

-24.2MiB live, 178.2MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 551	16	1 567
Fresh	11	20	31
Picked	4	1	5
Done	1	0	1
Total	1 567	37	1 604

Accuracy

100.0%

Counts

1 604 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	94.3%	(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	43.3%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)))
	56.1%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
	96.5%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))
	96.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	84.7%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	99.2%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	80.0%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t z) t z) #s(literal 2 binary64)))))
✓	51.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	47.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	51.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) #s(approx (* (sqrt 2) (exp (/ (* t t) 2))) (sqrt.f64 #s(literal 2 binary64))))
	51.2%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.0%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	31.1%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	35.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (neg.f64 y) y) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	56.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
	53.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	51.1%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	44.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	69.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
	68.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	66.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	56.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	52.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))
	53.9%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	53.5%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	47.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
	21.7%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	69.8%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	58.7%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
	31.1%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	53.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	51.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	68.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	66.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	51.1%	#s(approx (* (/ (sqrt (* 2 z)) (/ 1 (- (* 1/2 x) y))) (exp (* (* t t) 1/2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 2 273 to 894 computations (60.7% saved)

regimes390.0ms (2.3%)

Memory

-9.7MiB live, 473.5MiB allocated

Counts

80 → 1

Calls

Call 1

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

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

Calls

13 calls:

45.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
45.0ms	(*.f64 x #s(literal 1/2 binary64))
42.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
32.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
24.0ms	(*.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 60 to 88 computations (-46.7% saved)

regimes295.0ms (1.7%)

Memory

37.3MiB live, 497.7MiB allocated

Counts

75 → 1

Calls

Call 1

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

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

Calls

13 calls:

31.0ms	z
29.0ms	(*.f64 x #s(literal 1/2 binary64))
23.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
23.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`t`
99.5%	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))))`
99.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.5%	1	`(*.f64 z #s(literal 2 binary64))`
99.5%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.5%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.5%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes310.0ms (1.8%)

Memory

2.8MiB live, 468.2MiB allocated

Counts

66 → 1

Calls

Call 1

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

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

Calls

13 calls:

41.0ms	(.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))))
41.0ms	z
27.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
26.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
22.0ms	y

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	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))))`
99.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.2%	1	`(*.f64 z #s(literal 2 binary64))`
99.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.2%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes335.0ms (2%)

Memory

0.2MiB live, 467.5MiB allocated

Counts

63 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

57.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
38.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
33.0ms	(*.f64 z #s(literal 2 binary64))
32.0ms	(*.f64 t t)
23.0ms	y

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`t`
96.6%	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))))`
96.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
96.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
96.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
96.6%	1	`(*.f64 z #s(literal 2 binary64))`
96.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
96.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
96.6%	1	`(*.f64 t t)`
96.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes2.5s (14.9%)

Memory

-28.4MiB live, 420.3MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

1.4s	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
931.0ms	(*.f64 t t)
36.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
22.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
17.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`y`
96.2%	1	`z`
96.2%	1	`t`
96.2%	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))))`
96.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
96.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
96.2%	1	`(*.f64 z #s(literal 2 binary64))`
96.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
96.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
96.2%	1	`(*.f64 t t)`
96.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
96.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes254.0ms (1.5%)

Memory

30.6MiB live, 259.5MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

39.0ms	y
38.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
27.0ms	(.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))))
19.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
19.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.9%	1	`x`
94.9%	1	`y`
94.9%	1	`z`
94.9%	1	`t`
94.9%	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))))`
94.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.9%	1	`(*.f64 z #s(literal 2 binary64))`
94.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
94.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
94.9%	1	`(*.f64 t t)`
94.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes252.0ms (1.5%)

Memory

-27.0MiB live, 367.9MiB allocated

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

35.0ms	(*.f64 t t)
31.0ms	(*.f64 x #s(literal 1/2 binary64))
24.0ms	y
21.0ms	(*.f64 z #s(literal 2 binary64))
18.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.3%	1	`x`
94.3%	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))))`
94.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
94.3%	1	`y`
94.3%	1	`z`
94.3%	1	`t`
94.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.3%	1	`(*.f64 z #s(literal 2 binary64))`
94.3%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
94.3%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes166.0ms (1%)

Memory

43.2MiB live, 332.4MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

20.0ms	t
19.0ms	z
13.0ms	x
13.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
13.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
93.6%	1	`t`
93.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
93.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
93.6%	1	`(*.f64 t t)`
93.6%	1	`x`
93.6%	1	`y`
93.6%	1	`z`
93.6%	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))))`
93.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
93.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
93.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
93.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.6%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes160.0ms (0.9%)

Memory

-23.1MiB live, 388.7MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

23.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
15.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
12.0ms	(*.f64 z #s(literal 2 binary64))
11.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
11.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.4%	1	`x`
87.4%	1	`y`
89.6%	2	`z`
87.4%	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))))`
87.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
87.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
89.6%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
89.6%	2	`(*.f64 z #s(literal 2 binary64))`
87.4%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
87.4%	1	`t`
87.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
87.4%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
87.4%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes152.0ms (0.9%)

Memory

13.8MiB live, 207.6MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

29.0ms	(.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))))
13.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
12.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
11.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
84.7%	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))))`
84.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
84.7%	1	`x`
86.3%	2	`y`
89.5%	3	`t`
84.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
84.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
89.5%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
89.5%	3	`(*.f64 t t)`
84.7%	1	`z`
84.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.7%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes80.0ms (0.5%)

Memory

6.3MiB live, 50.3MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

39.0ms	(*.f64 x #s(literal 1/2 binary64))
8.0ms	x
8.0ms	y
8.0ms	t
8.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.7%	1	`x`
84.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.7%	1	`y`
84.7%	1	`t`
84.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
84.7%	1	`(*.f64 t t)`

Compiler

Compiled 14 to 30 computations (-114.3% saved)

regimes241.0ms (1.4%)

Memory

-8.4MiB live, 106.4MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

113.0ms	(*.f64 x #s(literal 1/2 binary64))
30.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
20.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
8.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
85.9%	2	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
84.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
84.1%	1	`y`
84.1%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
86.1%	2	`z`
85.9%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
86.1%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
86.1%	2	`(*.f64 z #s(literal 2 binary64))`
84.1%	1	`x`
84.1%	1	`t`
84.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.1%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
84.1%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes95.0ms (0.6%)

Memory

-34.8MiB live, 35.9MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
8.0ms	y
8.0ms	(*.f64 z #s(literal 2 binary64))
8.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
84.1%	1	`y`
84.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
84.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
84.1%	1	`z`
84.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.1%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 24 to 39 computations (-62.5% saved)

regimes93.0ms (0.5%)

Memory

28.7MiB live, 101.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

13 calls:

17.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
16.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms	t
6.0ms	y
6.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
64.4%	3	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
63.5%	3	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
70.7%	3	`x`
58.7%	1	`z`
79.7%	3	`t`
70.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
58.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
58.7%	1	`(*.f64 z #s(literal 2 binary64))`
79.7%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
79.7%	3	`(*.f64 t t)`
75.5%	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))))`
77.2%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
74.0%	3	`y`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes43.0ms (0.3%)

Memory

0.8MiB live, 38.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

32.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
5.0ms	t
5.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
77.4%	2	`t`
77.4%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
77.4%	2	`(*.f64 t t)`

Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes50.0ms (0.3%)

Memory

-13.9MiB live, 36.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`z`
51.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
51.3%	1	`(*.f64 z #s(literal 2 binary64))`
51.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
51.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
51.3%	1	`x`
51.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
51.3%	1	`y`
51.3%	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))))`
51.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
51.3%	1	`t`
51.3%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
51.3%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes29.0ms (0.2%)

Memory

7.2MiB live, 82.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
31.1%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
40.8%	3	`x`
42.1%	3	`y`
40.8%	3	`(*.f64 x #s(literal 1/2 binary64))`
31.1%	1	`z`
31.1%	1	`t`
31.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
31.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
31.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
31.1%	1	`(*.f64 z #s(literal 2 binary64))`
31.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
31.1%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
31.1%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes12.0ms (0.1%)

Memory

-14.1MiB live, 24.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
31.1%	1	`z`
31.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
31.1%	1	`(*.f64 z #s(literal 2 binary64))`
31.1%	1	`x`
31.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
31.1%	1	`y`

Compiler

Compiled 13 to 31 computations (-138.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.218576117661267e+167	1.7676536709483672e+169

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8035487512379831e+257	1.7833509287005983e+260
0.0ms	2.3085338298866667e-33	1.8824621581894378e-29

Compiler

Compiled 20 to 22 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.218576117661267e+167	1.7676536709483672e+169

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch36.0ms (0.2%)

Memory

22.2MiB live, 66.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7849868743706176e+134	4.1528644774056856e+135
19.0ms	1.050139263617757e-6	0.0009503047388604417

Samples

23.0ms

240×

valid

Compiler

Compiled 402 to 442 computations (-10% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (44.1% of total)

ival-exp: 3.0ms (22.1% of total)

ival-sqrt: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.4% of total)

ival-div: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch134.0ms (0.8%)

Memory

1.4MiB live, 40.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
132.0ms	3.350676837862718e+122	7.548607561076578e+128

Samples

126.0ms

144×

valid

Compiler

Compiled 227 to 256 computations (-12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 117.0ms (96.4% of total)

ival-sub: 1.0ms (0.8% of total)

ival-div: 1.0ms (0.8% of total)

ival-exp: 1.0ms (0.8% of total)

ival-sqrt: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch44.0ms (0.3%)

Memory

3.9MiB live, 79.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.150869998807557e-36	4.9616134922073055e-29
19.0ms	-3.2954905296162104e+59	-1.3892909561849072e+56

Samples

29.0ms

272×

valid

Compiler

Compiled 343 to 447 computations (-30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (45.5% of total)

ival-sqrt: 4.0ms (22.8% of total)

ival-div: 2.0ms (11.4% of total)

ival-exp: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify54.0ms (0.3%)

Memory

-21.1MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	715
1	191	715
2	200	715
3	205	715
4	208	715
5	209	715

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.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 1/2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) #s(approx ( (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 1461501637330903/365375409332725729550921208179070754913983135744 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 t t) #s(literal 200000000000000006025531980028108500578097307954939025766421595980654826675529246564222471253829152713648768603434556563593386827337275468937699900399114399725573291234884276005207941131245911204484318605390207565762827048057062398328588249283527946922885120 binary64)) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 8762203435012037/9223372036854775808 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 t t) #s(literal 879999999999999979321377331231690028114922955938630304920484592786605919722273790498286815029049186272684781231557379739869769881354240 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 340000000000000001228424394079278692405266899142287188972117888111446554054886704512258474185894257761688801447006095540224 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -145000000000000003525778919484870697476661272552818081792 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 y #s(literal 7482888383134223/11692013098647223345629478661730264157247460343808 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (sqrt.f64 (.f64 z (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (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 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) #s(approx ( (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) #s(approx ( (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z))) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(if (<=.f64 (.f64 t t) #s(literal 1461501637330903/365375409332725729550921208179070754913983135744 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 t t) #s(literal 200000000000000006025531980028108500578097307954939025766421595980654826675529246564222471253829152713648768603434556563593386827337275468937699900399114399725573291234884276005207941131245911204484318605390207565762827048057062398328588249283527946922885120 binary64)) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))))
(if (<=.f64 (.f64 t t) #s(literal 1461501637330903/365375409332725729550921208179070754913983135744 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 (.f64 t t) #s(literal 200000000000000006025531980028108500578097307954939025766421595980654826675529246564222471253829152713648768603434556563593386827337275468937699900399114399725573291234884276005207941131245911204484318605390207565762827048057062398328588249283527946922885120 binary64)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 (.f64 t t) #s(literal 8762203435012037/9223372036854775808 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (.f64 t t) #s(literal 879999999999999979321377331231690028114922955938630304920484592786605919722273790498286815029049186272684781231557379739869769881354240 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 8762203435012037/9223372036854775808 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 (.f64 t t) #s(literal 879999999999999979321377331231690028114922955938630304920484592786605919722273790498286815029049186272684781231557379739869769881354240 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64))))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 340000000000000001228424394079278692405266899142287188972117888111446554054886704512258474185894257761688801447006095540224 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 340000000000000001228424394079278692405266899142287188972117888111446554054886704512258474185894257761688801447006095540224 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 y #s(literal -145000000000000003525778919484870697476661272552818081792 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 y #s(literal 7482888383134223/11692013098647223345629478661730264157247460343808 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(if (<=.f64 y #s(literal -145000000000000003525778919484870697476661272552818081792 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64))))) (if (<=.f64 y #s(literal 7482888383134223/11692013098647223345629478661730264157247460343808 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64))))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))

soundness2.0s (11.9%)

Memory

-3.7MiB live, 1 110.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	387	9279
1	1269	9100
2	4299	8211
0	8152	8097
0	404	9381
1	1313	9225
2	4343	8381
0	8109	8253
0	51	343
0	85	337
1	285	332
2	1592	332
0	8240	332
0	52	287
0	87	244
1	227	242
2	1035	239
0	9050	239
0	44	261
0	75	251
1	232	249
2	1367	249
0	8634	249
0	15	46
0	24	44
1	63	43
2	285	43
3	2343	43
0	8617	43
0	133	1631
1	446	1628
2	1554	1535
3	4441	1532
0	8859	1520

Stop Event

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

Compiler

Compiled 1 653 to 967 computations (41.5% saved)

preprocess174.0ms (1%)

Memory: 11.8MiB live, 405.7MiB allocated
Remove: (abs t)
Compiler: Compiled 1 442 to 660 computations (54.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze208.0ms (1.2%)

sample2.5s (14.7%)

explain313.0ms (1.8%)

preprocess146.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (0.4%)

localize52.0ms (0.3%)

series31.0ms (0.2%)

simplify461.0ms (2.7%)

rewrite362.0ms (2.1%)

eval132.0ms (0.8%)

prune80.0ms (0.5%)

simplify148.0ms (0.9%)

localize199.0ms (1.2%)

series164.0ms (1%)

simplify334.0ms (2%)

rewrite272.0ms (1.6%)

eval727.0ms (4.3%)

prune99.0ms (0.6%)

simplify161.0ms (0.9%)

localize142.0ms (0.8%)

series63.0ms (0.4%)

simplify315.0ms (1.8%)

rewrite228.0ms (1.3%)

eval420.0ms (2.5%)

prune70.0ms (0.4%)

simplify277.0ms (1.6%)

localize170.0ms (1%)

series135.0ms (0.8%)

simplify215.0ms (1.3%)

rewrite233.0ms (1.4%)

eval242.0ms (1.4%)

prune79.0ms (0.5%)

regimes390.0ms (2.3%)

regimes295.0ms (1.7%)

regimes310.0ms (1.8%)

regimes335.0ms (2%)

regimes2.5s (14.9%)

regimes254.0ms (1.5%)

regimes252.0ms (1.5%)

regimes166.0ms (1%)

regimes160.0ms (0.9%)

regimes152.0ms (0.9%)

regimes80.0ms (0.5%)

regimes241.0ms (1.4%)

regimes95.0ms (0.6%)

regimes93.0ms (0.5%)

regimes43.0ms (0.3%)

regimes50.0ms (0.3%)

regimes29.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.2%)

bsearch134.0ms (0.8%)

bsearch44.0ms (0.3%)

simplify54.0ms (0.3%)

soundness2.0s (11.9%)

preprocess174.0ms (1%)

end0.0ms (0%)

Profiling